---
type: Whitepaper
title: "Tracking Mobile Web Users Through Motion Sensors: Attacks and Defenses"
description: "Manufacturing imperfections make each phone's accelerometer and gyroscope respond slightly differently, and any web page can read those sensors from JavaScript. Combining sensor features, optionally exciting them with inaudible sound, fingerprints a specific handset in seconds and tracks the user across sites and sessions; calibration and added noise are evaluated as defences."
resource: "https://www.ndss-symposium.org/wp-content/uploads/2017/09/tracking-mobile-web-users-through-motion-sensors-attacks-defenses.pdf"
tags: [whitepaper, webseclist-reference, side-channel, info-leak, javascript, android, ios, measurement-study, defence, mitigation]
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    resource: "https://www.ndss-symposium.org/wp-content/uploads/2017/09/tracking-mobile-web-users-through-motion-sensors-attacks-defenses.pdf"
    title: "Tracking Mobile Web Users Through Motion Sensors: Attacks and Defenses"
    author: Anupam Das, Nikita Borisov, Matthew Caesar
also_at: []
authors:
  - Anupam Das
  - Nikita Borisov
  - Matthew Caesar
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# Tracking Mobile Web Users Through Motion Sensors: Attacks and Defenses

**Tracking Mobile Web Users Through Motion Sensors: Attacks and Defenses** - Anupam Das, Nikita Borisov, Matthew Caesar, Publisher not stated.

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# Tracking Mobile Web Users Through Motion Sensors: Attacks and Defenses

Tracking Mobile Web Users Through Motion
                   Sensors: Attacks and Defenses

                                               Anupam Das, Nikita Borisov and Matthew Caesar
                                                       University of Illinois at Urbana-Champaign
                                                          {das17, nikita, caesar}@illinois.edu

   Abstract—Modern smartphones contain motion sensors, such                         web APIs for accessing motion sensor data have significantly
as accelerometers and gyroscopes. These sensors have many                           lower resolution than is available to the operating systems and
useful applications; however, they can also be used to uniquely                     applications. We show that, using machine learning techniques,
identify a phone by measuring anomalies in the signals, which                       it is possible to combine a large number of features from
are a result of manufacturing imperfections. Such measurements                      both the accelerometer and gyroscope sensor streams and
can be conducted surreptitiously by web page publishers or ad-
vertisers and can thus be used to track users across applications,
                                                                                    produce highly accurate classification despite these challenges.
websites, and visits.                                                               In some cases, we can improve the classifier accuracy by
                                                                                    using an inaudible sound, played through the speakers, to
    We analyze how well sensor fingerprinting works under real-                     stimulate the motion sensors. We evaluate our techniques in
world constraints. We first develop a highly accurate finger-                       a variety of lab settings; additionally, we collected data from
printing mechanism that combines multiple motion sensors and                        volunteer participants over the web, capturing a wide variety of
makes use of inaudible audio stimulation to improve detection.
We evaluate this mechanism using measurements from a large
                                                                                    smartphone models and operating systems. In our experiments,
collection of smartphones, in both lab and public conditions. We                    a web browsing session lasting in the orders of 30–40 seconds
then analyze techniques to mitigate sensor fingerprinting either                    is sufficient to generate a fingerprint that can be used to
by calibrating the sensors to eliminate the signal anomalies, or                    recognize the phone in the future with only 5–8 seconds worth
by adding noise that obfuscates the anomalies. We evaluate the                      of web browsing session.
impact of calibration and obfuscation techniques on the classifier
accuracy; we also look at how such mitigation techniques impact                         We next investigate two potential countermeasures to sen-
the utility of the motion sensors.                                                  sor fingerprinting. First, we consider the use of calibration
                                                                                    to eliminate some of the errors that result from manufactur-
                           I.   I NTRODUCTION                                       ing imperfections. Promisingly, we find that calibrating the
                                                                                    accelerometer is easy and has a significant impact on clas-
    Smartphones are equipped with motion sensors, such as                           sification accuracy. Gyroscope calibration, however, is more
accelerometers and gyroscopes, that are available to applica-                       challenging without specialized equipment, and attempts to
tions and websites, and enable a variety of novel uses. These                       calibrate the gyroscope by hand do not result in an effective
same sensors, however, can threaten user privacy by enabling                        countermeasure.
sensor fingerprinting. Manufacturing imperfections result in
each sensor having unique characteristics in their produced                             An alternative countermeasure is obfuscation, which intro-
signal. These characteristics can be captured in the form of a                      duces additional noise to the sensor readings in the hopes of
fingerprint and be used to track users across repeated visits.                      hiding the natural errors. Obfuscation has the advantage of
The sensor fingerprint can be used to supplement other privacy-                     not requiring a calibration step; we find that by adding noise
invasive tracking technologies, such as cookies, or canvas                          that is similar in magnitude to the natural errors that result
fingerprinting [1]. Since the fingerprint relies on the physical                    from manufacturing imperfection, we can reduce the accuracy
characteristics of a particular device, it is immune to defenses                    of fingerprinting more effectively than by calibration. We also
such as clearing cookies and private browsing modes.                                investigate the possibility of using higher magnitude noise, as
                                                                                    well as adding temporal disturbances to obfuscate frequency
    We carry out a detailed investigation into the feasibility                      domain features. At high levels of noise, fingerprinting accu-
of fingerprinting motion sensors in smartphones. Practical                          racy is greatly reduced, though such noise is likely to impair
fingerprinting faces several challenges. During a typical web                       the utility of motion sensors.
browsing session, a smartphone is either held in a user’s
hand, resulting in noisy motion inputs, or is resting on a flat                     Roadmap. The remainder of this paper is organized as
surface, minimizing the amount of sensor input. Additionally,                       follows. We present background information and related work
                                                                                    in Section II. In Section III, we briefly discuss why ac-
                                                                                    celerometers and gyroscopes can be used to generate unique
Permission to freely reproduce all or part of this paper for noncommercial
purposes is granted provided that copies bear this notice and the full citation
                                                                                    fingerprints. In Section IV, we describe the different temporal
on the first page. Reproduction for commercial purposes is strictly prohibited      and spectral features considered in our experiments, along
without the prior written consent of the Internet Society, the first-named author   with the classification algorithms and metrics used in our
(for reproduction of an entire paper only), and the author’s employer if the        evaluations. We present our fingerprinting results in Section
paper was prepared within the scope of employment.                                  V. Section VI describes our countermeasure techniques to
NDSS ’16, 21-24 February 2016, San Diego, CA, USA
Copyright 2016 Internet Society, ISBN 1-891562-41-X                                 sensor fingerprinting. Section VII discusses some limitations
http://dx.doi.org/10.14722/ndss.2016.23390                                          of our approach. Finally, we conclude in Section VIII.
              II.     F INGERPRINTING BACKGROUND                                       installed fonts and other browser characteristics, easily ac-
                                                                                       cessible via JavaScript [20]. A more advanced technique uses
    Human fingerprints, due to their unique nature, are a very                         HTML5 canvas elements to fingerprint the fonts and rendering
popular tool used to identify people in forensic and biometric                         engines used by the browser [1]. Others have proposed the
applications [4], [5]. Researchers have long sought to find                            use of performance benchmarks for differentiating between
an equivalent of fingerprints in computer systems by finding                           JavaScript engines [21]. Lastly, browsing history can to used
characteristics that can help identify an individual device.                           to profile and track online users [22]. Numerous studies have
Such fingerprints exploit variations in both the hardware and                          found evidence of these and other techniques being used in
software of devices to aid in identification.                                          the wild [23]–[25]. A number of countermeasures to these
    As early as 1960, the US government used unique transmis-                          techniques exist; typically they disable or restrict the ability
sion characteristics to track mobile transmitters [6]. Later, with                     of a website to probe the characteristics of a webbrowser.
the introduction of cellular network researchers were able to                          Nikiforakis et al. propose using random noise to make fin-
successfully distinguish transmitters by analyzing the spectral                        gerprints non-deterministic which essentially breaks linkability
characteristics of the transmitted radio signal [7]. Researchers                       across multiple visits [26]. We expect that smartphones are less
have suggested using radio-frequency fingerprints to enhance                           susceptible to browser fingerprinting due to a more integrated
wireless authentication [8], [9], as well as localization [10].                        hardware and software base resulting in less variability, though
Others have leveraged the minute manufacturing imperfections                           we are unaware of an exploration of smartphone browser
in network interface cards (NICs) by analyzing the radio-                              fingerprinting.
frequency of the emitted signals [11], [12]. Computer clocks                              Alternative to cookies people have also looked at leverag-
have also been used for fingerprinting: Moon et al. showed                             ing device IDs such as Unique Device Identifier (UDID) for
that network devices tend to have a unique and constant clock                          Apple products and International Mobile Station Equipment
skews [13]; Kohno et al. exploited this to distinguish network                         Identity (IMEI) for general mobile phones, to track devices
devices through TCP and ICMP timestamps [14].                                          across multiple visits. However, these device IDs are not
    Software can also serve as a distinguishing feature, as                            always accessible (Apple ceased the use of UDID since iOS
different devices have a different installed software base.                            6 [27]) and even if it is accessible, in most cases it requires
Researchers have long been exploiting the difference in the                            explicit permission to access such device ID (on Android
protocol stack installed on IEEE 802.11 compliant devices.                             accessing IMEI requires a special permission [28]).
Desmond et al. [15] have looked at distinguishing unique                                       b) Sensor Fingerprinting: Smartphones do, however,
devices over Wireless Local Area Networks (WLANs) simply                               possess an array of sensors that can be used to fingerprint
by performing timing analysis on the 802.11 probe request                              them. Two studies have looked at fingerprinting smartphone
packets. Others have investigated subtle differences in the                            microphones and speakers [29], [30]. These techniques, how-
firmware and device drivers running on IEEE 802.11 compliant                           ever, require access to the microphone, which is typically
devices [16]. 802.11 MAC headers have also been used to                                controlled with a separate permission due to the obvious
uniquely track devices [17]. Moreover, there are well-known                            privacy concerns with the ability to capture audio. Bojinov
open source toolkits like Nmap [18] and Xprobe [19] that can                           et al. [3] consider using accelerometers, which are not con-
remotely fingerprint an operating system by analyzing unique                           sidered sensitive and do not require a separate permission.
responses from the TCP/IP networking stack.                                            Their techniques, however, rely on having the user perform
                                                                                       a calibration of the accelerometer (see Section VI-A), the
        a) Browser Fingerprinting: A common application of                             parameters of which are used to distinguish phones. Dey
fingerprinting is to track a user across multiple visits to a web-                     et al. [2] apply machine learning techniques to create an
site, or a collection of sites. Traditionally, this was done with                      accelerometer fingerprint; most of their analysis focuses on
the aid of cookies explicitly stored by the browser. However,                          using the vibration motor to stimulate the accelerometer, but
privacy concerns have prompted web browsers to implement                               they perform an experiment with 25 stationary phones and on
features that clear the cookie store, as well as private browsing                      average they achieve approximately 88% precision and recall.
modes that do not store cookies long-term. This has prompted
site operators to develop other means of uniquely identifying                             In contrast, our work studies phones that are in a natural
and tracking users. Eckersley’s Panopticon project showed that                         web-browsing setting, either in a user’s hand or resting on
many browsers can be uniquely identified by enumerating                                a flat surface. Additionally, we consider the simultaneous

                                                         TABLE I: Comparison with other works
                     Work      Sensorsa     Settings         Stimulation       Features Explored   Features Used   # of Devices     Results (≈)
                       [2]        A           Lab              Vibration               80                36            107b        99% Accuracy
                       [2]        A           Lab                None                  80                36             25          88% F-score
                       [3]        A           Lab             Flip phone               2                 2              33        100% Accuracy
                       [3]        A          Public           Flip phone               2                 2            3583c       15.1% Accuracy
                    Our Work     A,G          Lab                None                 100                70             30          99% F-score
                    Our Work     A,G         Public              None                 100                70             63          95% F-score
                    Our Work     A,G       Lab+Public            None                 100                70             93          96% F-score
                    Our Work     A,G          Lab           Phone in hand             100                70             30          93% F-score
                    Our Work     A,G          Lab        Phone in hand+Audio          100                70             30          98% F-score
   a here ‘A’ means accelerometer and ‘G’ refers to gyroscope
   b 80 external chips, 25 phones and 2 tablets
   c considering only devices with two submissions

                                                                                   2
                                                                                                       Fixed Electrode
use of both accelerometer and gyroscope to produce a more
accurate fingerprint. Inspired by prior work that uses the                                                                    Anchor
gyroscope to recover audio signals [31], we also stimulate
the gyroscope with an inaudible tone. Finally, we propose                                         d1   d2
and evaluate several countermeasures to reduce fingerprint-
ing accuracy without entirely blocking access to the motion                                                                   Movable
sensors. Table I highlights some comparisons with related                                                                   Seismic Mass
works. Recently, Song et al. [32] have proposed reducing
accelerometer accuracy as a means of defense against tap
inference on smartphones. Their approach involves hiding
small changes in accelerometer reading by reporting a constant               Fig. 1: Internal architecture of a MEMS accelerometer. Differential
accelerometer value of 1g. We propose one similar technique                  capacitance is proportional to the applied acceleration.
where we calibrate motion sensors so that they report similar
constant readings. However, as we will later on show that
such an approach is not sufficient to hide uniqueness among
gyroscope sensors. We, therefore, explore several obfuscation                Coriolis effect to measure the angular rate. Whenever an
techniques in this paper.                                                    angular velocity of ω̂ is exerted on a moving mass of weight
                                                                             m, and velocity v̂, the object experiences a Coriolis force in a
       III.   A C LOSER L OOK AT M OTION S ENSORS                            direction perpendicular to the rotation axis and to the velocity
                                                                             of the moving object (as shown in figure 2). The Coriolis
    In this section we briefly take a closer look at motion                  force is calculated by the following equation F̂ = −2mω̂ × v̂.
sensors like accelerometer and gyroscope that are embedded                   Generally, the angular rate (ω̂) is measured by sensing the
in today’s smartphones. This will provide an understanding                   magnitude of the Coriolis force exerted on a vibrating proof-
of how they can be used to uniquely fingerprint smartphones.                 mass within the gyro [44]–[46]. The Coriolis force is sensed by
Accelerometer and gyroscope sensors in modern smartphones                    a capacitive sensing structure where a change in the vibration
are based on Micro Electro Mechanical Systems (MEMS).                        of the proof-mass causes a change in capacitance which is then
STMicroelectronics [33] and InvenSense [34] are among the                    converted into a voltage signal by the internal circuitry. Again
top vendors supplying MEMS-based accelerometer and gy-                       the slightest imperfection in the electro-mechanical structure
roscope sensor to different smartphone manufacturers [35].                   will introduce idiosyncrasies across chips.
Traditionally, Apple [36], [37]1 and Samsung [39], [40] favor
using STMicroelectronics motion sensors, while Google [41],                                   Z
[42] tends to use InvenSense sensors.                                                                  Y
                                                                                      ω
A. Accelerometer
    Accelerometer is a device that measures proper acceler-                               m            v
                                                                                                            X
ation. Proper acceleration is different from coordinate accel-
eration (linear acceleration) as it measures the g-force. For
example, an accelerometer at rest on a surface will measure
an acceleration of g = 9.81ms−2 straight upwards, while                         F Coriolis = −2m ω * v
for a free falling object it will measure an acceleration of                 Fig. 2: MEMS-based gyros use Coriolis force to compute angular
zero. MEMS-based accelerometers are based on differential                    velocity. The Coriolis force induces change in capacitance which is
capacitors [43]. Figure 1 shows the internal architecture of a               proportional to the angular velocity.
MEMS-based accelerometer. As we can see there are several
pairs of fixed electrodes and a movable seismic mass. Under
zero force the distances d1 and d2 are equal and as a result                    IV.       F EATURES AND C LASSIFICATION A LGORITHMS
the two capacitors are equal, but a change in force will cause
the movable seismic mass to shift closer to one of the fixed                     Here, we describe the data preprocessing step and the
electrodes (i.e., d1 6= d2 ) causing a change in the generated               features used in generating the sensor fingerprint. We also
capacitance. This difference in capacitance is detected and                  discuss the classification algorithms and metrics used in our
amplified to produce a voltage proportional to the acceleration.             evaluation.
The slightest gap difference between the structural electrodes,
introduced during the manufacturing process, can cause a                     A. Data Preprocessing
change in the generated capacitance. Also the flexibility of the
seismic mass can be slightly different from one chip to another.                  Data from motion sensors can be thought of as a stream
These form of minute imprecisions in the electro-mechanical                   of timestamped real values. For both accelerometer and gy-
structure induce subtle imperfections in accelerometer chips.                 roscope we obtain values along three axes. So, for a given
                                                                              timestamp, t, we have two vectors of the following form:
B. Gyroscope                                                                 ~a(t) = (ax , ay , az ) and ω
                                                                                                         ~ (t) = (ωx , ωy , ωz ). The accelerom-
                                                                              eter values include gravity, i.e., when the device is stationary
   Gyroscope measures the rate of rotation (in rads−1 ) along                 lying flat on top of a surface we get a value of 9.81ms−2 along
the device’s three axes. MEMS-based gyroscopes use the                        the z-axis. We convert the acceleration
                                                                                                               q         vector into a scalar by
   1 iPhone 6 has been reported to use sensors made by InvenSense [38]        taking its magnitude: |~a(t)| = a2x + a2y + a2z . This technique

                                                                         3
                                                TABLE II: Explored temporal and spectral features
    #      Domain             Feature                                                         Description
    1                          Mean                               The arithmetic mean of the signal strength at different timestamps
    2                   Standard Deviation                                     Standard deviation of the signal strength
    3                    Average Deviation                                          Average deviation from mean
    4                        Skewness                                             Measure of asymmetry about mean
    5                         Kurtosis                                   Measure of the flatness or spikiness of a distribution
            Time
    6                           RMS                 Square root of the arithmetic mean of the squares of the signal strength at various timestamps
    7                           Max                                                   Maximum signal strength
    8                           Min                                                   Minimum signal strength
    9                           ZCR                          The rate at which the signal changes sign from positive to negative or back
    10                  Non-Negative count                                         Number of non-negative values
    11                   Spectral Centroid                          Represents the center of mass of a spectral power distribution
    12                    Spectral Spread                             Defines the dispersion of the spectrum around its centroid
    13                   Spectral Skewness                               Represents the coefficient of skewness of a spectrum
    14                   Spectral Kurtosis              Measure of the flatness or spikiness of a distribution relative to a normal distribution
    15                    Spectral Entropy                               Captures the peaks of a spectrum and their locations
    16                    Spectral Flatness                               Measures how energy is spread across the spectrum
    17                  Spectral Brightness         Amount of spectral energy corresponding to frequencies higher than a given cut-off threshold
    18    Frequency       Spectral Rolloff              Defines the frequency below which 85% of the distribution magnitude is concentrated
    19                  Spectral Roughness                 Average of all the dissonance between all possible pairs of peaks in a spectrum
    20                  Spectral Irregularity                  Measures the degree of variation of the successive peaks of a spectrum
    21                     Spectral RMS             Square root of the arithmetic mean of the squares of the signal strength at various frequencies
    22                   Low-Energy-Rate          The percentage of frames with RMS power less than the average RMS power for the whole signal
    23                      Spectral flux                         Measure of how quickly the power spectrum of a signal changes
    24                 Spectral Attack Time                                       Average rise time to spectral peaks
    25                 Spectral Attack Slope                                       Average slope to spectral peaks

discards some information, but has the advantage of making                    the source sensor. Any supervised learning classifier has two
the accelerometer data independent of device orientation; e.g.,               main phases: training phase and testing phase. During training,
if the device is stationary the acceleration magnitude will                   features from all smartphones (i.e., labeled data) are used to
always be around 9.81ms−2 , whereas the reading on each                       train the classifier. In the test phase, the classifier predicts
individual axis will vary greatly (by +/- 1g) depending on how                the most probable class for a given (unseen) feature vector.
the device is held. For the gyroscope we consider data from                   We evaluate the performance of the following classifiers —
each axis as a separate stream, since there is no corresponding               Support Vector Machine (SVM), Naive-Bayes classifier, Mul-
baseline rotational acceleration. In other words, if the device               ticlass Decision Tree, k-Nearest Neighbor (k-NN), Quadratic
is stationary the rotation rate across all three axes should be               Discriminant Analysis classifier and Bagged Decision Trees
close to 0 rads−1 , irrespective of the orientation of the device.            (Matlab’s Treebagger model) [49]. We found that in gen-
Thus, our model considers four streams of sensor data in the                  eral ensemble based approaches like Bagged Decision Trees
form of {|~a(t)|, ωx (t), ωy (t), ωz (t)}.                                    outperform the other classifiers. We report the maximum
                                                                              achievable accuracies from these classifiers in the evaluation
    For all data streams, we also look at frequency domain
                                                                              Section V.
characteristics. But since the browser, running as one of many
applications inside the phone, makes API calls to collect sensor
                                                                              Evaluation metrics: For evaluation metric we use standard
data the OS might not necessarily respond in a synchro-
                                                                              multi-class classification metrics like—precision, recall, and F-
nized manner2 . This results in non-equally spaced data points.
                                                                              score [50]—in our evaluation. Assuming there are n classes,
We, therefore, use cubic-spline interpolation [47] to construct
                                                                              we first compute the true positive (T P ) rate for each class,
new data points such that {|~a(t)|, ωx (t), ωy (t), ωz (t)} become
                                                                              i.e., the number of traces from the class that are classified
equally-spaced.
                                                                              correctly. Similarly, we compute the false positive (F P ) and
B. Temporal and Spectral Features                                             false negative (F N ) as the number of wrongly accepted and
                                                                              wrongly rejected traces, respectively, for each class i (1 ≤ i ≤
    To summarize the characteristics of a sensor data stream,                 n). We then compute precision, recall, and the F-score for each
we explore a total of 25 features consisting of 10 temporal and               class using the following equations:
15 spectral features (listed in Table II). All of these features
have been well documented by researchers in the past. A                               Precision, P ri = T Pi /(T Pi + F Pi )                          (1)
detailed description of each feature is available in our technical                       Recall, Rei = T Pi /(T Pi + F Ni )                           (2)
report [48].                                                                             F-Score, Fi = (2 × P ri × Rei )/(P ri + Rei )                (3)
C. Classification Algorithms and Metrics                                      The F-score is the harmonic mean of precision and recall; it
                                                                              provides a good measure of overall classification performance,
Classification Algorithms: Once we have features extracted                    since precision and recall represent a trade-off: a more con-
from the sensor data, we use supervised learning to identify                  servative classifier that rejects more instances will have higher
     2 Depending on the load and other applications running, OS might         precision but lower recall, and vice-versa. To obtain the overall
prioritize such API calls differently.                                        performance of the system we compute average values in the

                                                                          4
following way:                                                                         worth of data. Now, since our fingerprinting approach aims to
                                            Pn                                         capture the inherent imperfections of motion sensors, we need
                                                i=1 P ri                               to keep the sensors stationary while collecting data. Therefore,
        Avg. Precision, AvgPr =                                             (4)
                                            Pn n                                       by default, we have the phone placed flat on a surface while
                                                i=1 Rei                                data is being collected, unless explicitly stated otherwise. We,
            Avg. Recall, AvgRe =                                            (5)
                                     n                                                 however, do test our approach for the scenario where the user
                                 2 × AvgP r × AvgRe                                    is holding the smartphone in his/her hand while sitting down.
            Avg. F-Score, AvgF =                                            (6)
                                   AvgP r + AvgRe
                                                                                           For training and testing the classifiers we randomly split
                V.     F INGERPRINTING E VALUATION                                     the dataset in such a way that 50% of data from each device
                                                                                       goes to the training set while the remaining 50% goes to the
    In this section we first describe our experimental setup                           test set. To prevent any bias in the selection of the training
(Section V-A). We then explore features to determine the                               and testing set, we randomize the training and testing set 10
minimal subset of features required to obtain high classification                      times and report the average F-score. We also compute the
accuracy (Section V-B). Lastly, we evaluate our fingerprinting                         95% confidence interval, but we found it to be less than 1%
approach under a controlled lab setting (Section V-C), an un-                          in most cases and hence do not report them in such cases. For
controlled real-world setting (Section V-D) and a combination                          analyzing and matching fingerprints we use a desktop machine
of both settings (Section V-E).                                                        with an Intel i7-2600 3.4GHz processor with 12GiB RAM. We
                                                                                       found that the average time required to match a new fingerprint
A. Experimental Setup                                                                  was around 10–100 ms.
    Given that mobile accounts for a third of all global web
pages served [51], our experimental setup consists of develop-                                            TABLE IV: Types of phones used
ing our own web page to collect sensor data3 . We use a simple                                            Maker        Model     Quantity
Javascript (code snippet available in Appendix A) to access                                                           iPhone 5       4
                                                                                                          Apple
accelerometer and gyroscope data. However, since we collect                                                          iPhone 5s       3
data through the browser the maximum obtainable sampling                                                              Nexus S       14
frequency is lower than the available hardware sampling fre-                                             Samsung     Galaxy S3       4
quency (restricted by the underlying OS). Table III summarizes                                                       Galaxy S4       5
the sampling frequencies obtained from the top 5 mobile                                                          Total              30
browsers [52]4 . We use a Samsung Galaxy S3 and iPhone
5 to test the sampling frequency of the different browsers.
Table III also highlights the motion sensors that are accessible                       B. Feature Exploration and Selection
from the different browsers. We see that Chrome provides the
best sampling frequency while the default Android browser                                  At first glance, it might seem that using all features to
is the most restrictive browser in terms of not only sampling                          identify the device is the optimal strategy. However, including
frequency but also access to different motion sensors. However,                        too many features can worsen performance in practice, due to
Chrome being the most popular mobile browser [53], we                                  their varying accuracies and potentially-conflicting signatures.
collect data using the Chrome browser.                                                 We, therefore, explore all the features and determine the
                                                                                       subset of features that optimize our fingerprinting accuracy.
     TABLE III: Sampling frequency from different browsers
                                                                                       For temporal features, no transformation of the data stream
                                                                                       is required, but for spectral features we first convert the non-
                                                  Sampling        Accessible
       OS                 Browser
                                              Frequency (∼Hz)      Sensorsa            equally spaced data stream into a fixed-spaced data stream
                           Chrome                   100              A,G               using cubic spline interpolation. We interpolate at a sampling
                           Android                   20               A                rate of 8kHz5 . Then, we use the following signal analytic tools
  Android 4.4               Opera                    40              A,G               and modules: MIRtoolbox [56] and Libxtract [57] to extract
                         UC Browser                  20              A,G               spectral features. We next look at feature selection where we
                     Standalone App [54]            200              A,G
                            Safari                   40              A,G
                                                                                       explore different combinations of features to maximize our
   iOS 8.1.3                                                                           fingerprinting accuracy. We use the FEAST toolbox [58] and
                     Standalone App [55]            100              A,G
    a here ‘A’ means accelerometer and ‘G’ refers to gyroscope                         utilize the Joint Mutual Information criterion (JMI criterion
                                                                                       is known to provide the best tradeoff in terms of accuracy,
    We start off our data collection from 30 lab-smartphones.                          stability, and flexibility with small data samples [59]) for
Table IV lists the distribution of the different smartphones                           ranking the features.
from which we collect sensor data. Now, as gyroscopes react
to audio stimulation we collect data under three different                                 Figure 3 shows the results of our feature exploration for the
background audio settings: no audio, an inaudible 20 kHz                               30 lab-smartphones. We see that when using only accelerome-
sine wave, or a popular song. In the latter two scenarios,                             ter data the F-score seems to flatten after considering the top 10
the corresponding audio file plays in the background of the                            features. For gyroscope data we see that using all 75 features
browser while data is being collected. Under each setting we                           (25 per data stream) achieves the best result. And finally when
collect 10 samples where each sample is about 5 to 8 seconds                           we combine both accelerometer and gyroscope features, the
    3 http://datarepo.cs.illinois.edu/DataCollectionHowPlaced.html                          5 Although up-sampling the signal from ∼100 Hz to 8 kHz does not
    4 Computed the avg. time to obtain 100 samples. http://datarepo.cs.illinois.       increase the accuracy of the signal, it does make direct application of standard
edu/SamplingFreq.html                                                                  signal processing tools more convenient.

                                                                                   5
                                   Using accelerometer data only                                                         Using gyroscope data only                                               Using both accelerometer and gyroscope data
                      100                                                                              100                                                                                 100
                                                                                                        95
                       98
                                                                                                        90                                                                                  99
  Avg. F-score (%)

                                                                                    Avg. F-score (%)

                                                                                                                                                                        Avg. F-score (%)
                       96
                                                                                                        85
                       94                                                                               80                                                                                  98
                                                                                                        75
                       92
                                                                                                        70                                                                                  97
                       90
                                                                                                        65
                       88                                                                               60                                                                                  96
                                                              No-audio                                                                       No-audio                                                                                    No-audio
                       86
                                                                  Sine                                  55                                       Sine                                                                                        Sine
                                                                 Song                                                                           Song                                                                                        Song
                                                                                                        50                                                                                  95
                            0      5        10      15        20     25        30                            0    5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80                                 0   10   20   30     40    50      60   70   80    90   100 110
                                         Number of features                                                                  Number of features                                                                    Number of features
Fig. 3: Exploring the number optimal features for different sensors. a) For accelerometer using more than top 10 features leads to diminished
returns, b) For gyroscope all 75 features contribute to obtaining improved accuracy, c) For the combined sensor data using more than 70
features leads to diminished returns.

top 70 features (from a total of 100 features) seems to provide                                                                                  Motorola Droid
                                                                                                                                          Samsung Galaxy Note 4
                                                                                                                                                                                           1.32%
                                                                                                                                                                                           1.32%
the best fingerprinting accuracy. Among these top 70 features                                                                             Samsung Galaxy Note 3                            1.32%
                                                                                                                                          Samsung Galaxy Note 2                            1.32%
we found that 21 of them came from accelerometer features                                                                                               LG L90                             1.32%
and the remaining 49 came from gyroscope features. In terms                                                                                              LG G3                             1.32%
                                                                                                                                                 Google Nexus 6                                2.63%
of the distribution between temporal and spectral features, we                                                                               Samsung Galaxy S5                                 2.63%
                                                                                                                                                 Motorola Moto                                     3.95%
found that spectral features dominated with 44 of the top 70                                                                                          iphone 4s                                    3.95%
                                                                                                                                                      HTC One                                          5.26%
features being spectral features. We use these subset of features                                                                                      iphone 4                                        5.26%
in all our later evaluations.                                                                                                                          iphone 6                                        5.26%
                                                                                                                                                       iphone 5                                            6.58%
                                                                                                                                             Samsung Galaxy S3                                             6.58%
                                                                                                                                                 Google Nexus 5                                                    9.21%
C. Results From Lab Setting                                                                                                                      Google Nexus 4                                                    9.21%
                                                                                                                                                      iphone 5s                                                            11.84%
                                                                                                                                             Samsung Galaxy S4                                                                                     19.74%
    First, we look at fingerprinting smartphones under lab                                                                                                         0%                                      10%                            20%
setting to demonstrate the basic viability of the attack. For                                                                                     Fig. 4: Distribution of participant device model.
this purpose we keep smartphones stationary on top of a
flat surface. Table V summarizes our results. We see that
we can almost correctly identify all 30 smartphones for all
three scenarios by combining the accelerometer and gyroscope                                                                         data. We recruited participants through email and online social
features. Even when devices are kept in the hand of the                                                                              networks. We asked participants to provide data under two
user we can successfully identify devices with an F-score                                                                            settings: no-audio setting and the inaudible sine-wave setting
of greater than 93%. While the benefit of the background                                                                             (we avoid the background song to make the experience less
audio stimulation is not clear from the table, we will later on                                                                      bothersome for the user). Each setting collected sensor data
show that audio stimulation do in fact enhance fingerprinting                                                                        for about one minute, requiring a total of two minutes of
accuracy in the presence of countermeasure techniques like                                                                           participation. On average, we had around 10 samples per
sensor calibration and data obfuscation (more in Section VI).                                                                        setting per device. Our data-gathering web page plants a cookie
Overall these results indicate that it is indeed possible to                                                                         in the form of a large random number (acting as a unique ID)
fingerprint smartphones through motion sensors.                                                                                      in the user’s browser, which makes it possible to correlate data
                                                                                                                                     points coming from the same device. Over the course of two
                                                                                                                                     weeks, we received data from a total of 76 devices. However,
                                TABLE V: Average F-score under lab setting                                                           some participants did not follow all the steps and as a result
            Device                                                    Avg. F-score (%)
            Placed
                                Stimulation
                                                 Accelerometer      Gyroscope     Accelerometer+Gyroscope
                                                                                                                                     we were able to use only 63 of the 76 submissions. Figure 4
                                 No-audio             96               95                   99                                       shows the distribution of the different devices that participated
     On Desk                       Sine               98               99                   100
                                  Song                93               98                   100
                                                                                                                                     in our study.
                                 No-audio                88               83                                 93                          Next, we apply our fingerprinting approach on the public
       In Hand                     Sine                  88               94                                 98
                                  Song                   84               89                                 95                      data set. Table VI shows our findings. Compared to the results
                                                                                                                                     from our lab setting, we see a slight decrease in F-score but
                                                                                                                                     even then we were able to obtain an F-score of 95%. Again,
D. Results From Public Setting                                                                                                       the benefit of the audio stimulation is not evident from these
    After gaining promising results from our relatively small-                                                                       results, however, their benefits will become more visible in the
scale lab setting, we set out to expand our data collection                                                                          later sections when we discuss countermeasure techniques.
process to real-world public setting. We invited people to
voluntarily participate in our study by visiting our web page6                                                                       E. Results From Combined Setting
and following a few simple steps to provide us with sensor                                                                               Finally, we combine our lab data with the publicly collected
                     6 Screenshots of the data collection page is available in Appendix B. We                                        data to give us a combined dataset containing 93 different
obtained approval from our Institutional Research Board (IRB) to perform the                                                         smartphones. We apply the same set of evaluations on this
data collection.                                                                                                                     combined dataset. Table VII highlights our findings. Again,

                                                                                                                                 6
                                                                            Avg. F-score (%)
                                                                                                 100
TABLE VI: Average F-score under public setting where smartphones                                  98
were kept on top of a desk                                                                        96
                                  Avg. F-score (%)                                                94
  Stimulation
                Accelerometer   Gyroscope     Accelerometer+Gyroscope                             92
   No-audio          86            87                   95                                        90
     Sine            85            87                   92                                        88       No-audio                            Combined setting
                                                                                                  86       Sine
                                                                                                       5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95
we see that combining features from both sensors provides                                                                     Number of devices
the best result. In this case we obtained an F-score of 96%.

                                                                            Avg. F-score (%)
                                                                                                 100
All these results suggest that smartphones can be successfully                                    98
fingerprinted through motion sensors.                                                             96
                                                                                                  94
                                                                                                  92
                                                                                                  90
TABLE VII: Average F-score under both lab and public setting where                                88       No-audio                            Public setting
smartphones were kept on top of a desk                                                            86       Sine
                                  Avg. F-score (%)                                                     5     10   15     20   25    30   35    40   45    50    55    60   65
  Stimulation
                Accelerometer   Gyroscope     Accelerometer+Gyroscope
   No-audio          85            89                   96
                                                                                                                              Number of devices

                                                                            Avg. F-score (%)
     Sine            89            89                   95                                       100
                                                                                                  99

F. Sensitivity Analysis                                                                           98
                                                                                                  97
    1) Varying the Number of Devices: We evaluate the ac-                                                                                       Lab setting
                                                                                                  96       No-audio
curacy of our classifier while varying the number of devices.                                              Sine
We pick a subset of n devices in our dataset and perform                                          95
                                                                                                       5            10              15         20              25          30
the training and testing steps for this subset. For each value
                                                                                                                              Number of devices
of n, we repeat the experiment 10 times, using a different                  Fig. 5: Average F-score for different numbers of smartphones. F-score
random subset of n devices each time. In this experiment we                 generally tends to decrease slightly as more devices are considered.
only consider the use of both accelerometer and gyroscope
features, since those produce the best performance (as evident
from our previous results), and focus on the no-audio and sine
wave background scenarios. Figure 5 shows that the F-score                                             Using both accelerometer and gyroscope data
generally decreases with large number of devices, which is                                       100
expected as an increased number of labels makes classification
more difficult. But even then scaling from 10 devices to 93                                       99
                                                                            Avg. F-score (%)

devices the F-score decreases by only 4%. Extrapolating from
the graph, we expect classification to remain accurate even for                                   98
significantly larger datasets.
    2) Varying Training Set Size: We also consider how varying                                    97
the training set size impacts the fingerprinting accuracy. For
this experiment we vary the ratio of training and testing set
                                                                                                  96
size. For this experiment we only look at data from our lab
setting as some of the devices from our public setting did                                                                                            No-audio
not have exactly 10 samples. We also consider the setting                                         95
                                                                                                    2:8           3:7         4:6        5:5        6:4         7:3        8:2
where there is no background audio stimulation and use the
combined features of accelerometer and gyroscope. Figure 6                                                        Training Set Size : Test Set Size
shows our findings. While an increased training size improves               Fig. 6: Average F-score for different ratio of training and testing data.
classification accuracy, even with mere two training samples                With only two training data we achieved an F-score of 98%.
(of 5–8 seconds each) we can achieve an F-score of 98%, with
increased training set sizes producing an F-score of over 99%.
   3) Varying Temperature: Here we analyze how temperature                  17 smartphones (as described in Table VIII)7 . Therefore, the
impacts the fingerprint of smartphone sensors. For this purpose             following results for this section are described in the context
we collect sensor data under different temperatures. We took                of only the smartphones specified in Table VIII.
one set of readings outside our office building on September                    Table IX summarizes our findings. We refer to September
03, 2015 (with temperatures in the range of 91◦ F to 93◦ F )                03, 2015 as a hot day and October 09, 2015 as a cold day.
while we took another set of readings on October 9, 2015                    From Table IX we see that temperatures do lower F-score
(with temperatures in the range of 61◦ F to 63◦ F ). In both                where warmer temperatures cause more discrepancies in the
cases we also took readings inside the office where temperature             generated fingerprints compared to colder temperatures (as
was set to around 74◦ F on the thermostat. As these set of                  indicated by the red and blue blocks in the table).
experiments were conducted at a later time compared to our
other experiments, we were only able to collect data from                                      7 We only had access to these 17 smartphones at that time.

                                                                        7
TABLE VIII: Types of phones used for analyzing temperature effect                            mean signal value is the most discriminating feature for each
                                                                                             of the sensor streams, which is closely related to the offset.
              Maker         Model        Quantity
                                                                                             We therefore explore whether calibrating the sensors will make
                           iPhone 5          4
              Apple                                                                          them more difficult to fingerprint. We note that calibration has
                          iPhone 5s          3
                                                                                             a side effect of improving the accuracy of sensor readings and
                           Nexus S           3
             Samsung      Galaxy S3          2
                                                                                             is therefore of independent value. We perform the calibration
                          Galaxy S4          5                                               only on the sensors in our 30 lab smartphones because we
                      Total                 17                                               felt that calibration is too time consuming for the volunteers8 .
                                                                                             Moreover, we could better control the quality of the calibration
                                                                                             process when carried out in the lab.
    TABLE IX: Impact of temperature on sensor fingerprinting                                     First, let us briefly describe the sensor coordinate system
                                            Test (Avg. F-score in %)                         where the sensor framework uses a standard 3-axis coordinate
         No-audio
                           Inside (hot)   Outside (hot) Inside (cold)   Outside (cold)       system to express data values. For most sensors, the coordinate
           Inside (hot)        100a            89             90              92             system is defined relative to the device’s screen when the
          Outside (hot)         90            100a            81              75
 Train
          Inside (cold)         89             77           100a              97             device is held in its default orientation (shown in figure 7).
          Outside (cold)        86             82             99            100a             When the device is held in its default orientation, the positive
         Sine wave
                                            Test (Avg. F-score in %)                         x-axis is horizontal and points to the right, the positive y-axis
                           Inside (hot)   Outside (hot) Inside (cold)   Outside (cold)
                                                                                             is vertical and points up, and the positive z-axis points toward
            Inside (hot)       100a            80             92              91
           Outside (hot)        83            99a             82              72             the outside of the screen face9 . We compute offset and gain
 Train
           Inside (cold)        88             72           100a              90             error in all three axes.
           Outside(cold)        85             69             92            100a
   a 50% of the data set was used for training and remaining 50% for testing
                                                                                             Calibrating the Accelerometer: Considering both offset and
    4) Temporal Stability: We now take a closer look at how                                  gain error, the measured output of the accelerometer (aM =
the fingerprints evolve over time. For this purpose we reuse                                 [aM    M    M
                                                                                               x , ay , az ]) can be expressed as:
data collected from the previous section (Section V-F3). As                                           M  "
                                                                                                        ax          Ox
                                                                                                                        # "
                                                                                                                              Sx 0     0
                                                                                                                                          #"
                                                                                                                                             ax
we collected data inside our lab in two different dates (one on                                          M
                                                                                                      ay  = Oy + 0 Sy 0                    ay      (7)
September 03, 2015 and the other on October 09, 2015) we
                                                                                                        aM
                                                                                                         z
                                                                                                                    O z        0   0  S z    az
can analyze how sensor fingerprints change over time and how
they impact our F-score. Table X summarizes our findings. We                                 where S = [Sx , Sy , Sz ] and O = [Ox , Oy , Oz ] respectively
see that over time fingerprints do change to some extent, but                                represents the gain and offset errors along all three axes (a =
even then we can achieve an F-score of approximately 90%.                                    [ax , ay , az ] refers to the actual acceleration). In the ideal world
                                                                                             [Sx , Sy , Sz ] = [1, 1, 1] and [Ox , Oy , Oz ] = [0, 0, 0], but in re-
       TABLE X: Fingerprinting sensors at different dates                                    ality they differ from the desired values. To compute the offset
                              Test (Avg. F-score in %)                                       and gain error of an axis, we need data along both the positive
           No-audio                                                                          and negative direction of that axis (one measures positive +g
                           Sept. 03, 2015 Oct. 09,2015
            Sept. 03, 2015      100a                90                                       while the other measures negative −g). In other words, six
     Train
             Oct. 09,2015        89               100a                                       different static positions are used where in each position one of
                                                                                             the axes is aligned either along or opposite to earth’s gravity.
                                            Test (Avg. F-score in %)
              Sine wave                                                                      This causes the a = [ax , ay , az ] vector to take one of the
                                          Sept. 03, 2015 Oct. 09,2015
                 Sept. 03, 2015                100a             92                           following six possible values {[±g, 0, 0], [0, ±g, 0], [0, 0, ±g]}.
     Train
                  Oct. 09,2015                  88             100a                          For example, if aM               M
                                                                                                                   z+ and az− are two values of accelerometer
   a 50% of the data set was used for training and remaining 50% for testing                 reading along the positive and negative z-axis, then we can
                                                                                             compute the offset (Oz ) and gain (Sz ) error using the following
                                                                                             equation:
                       VI.      C OUNTERMEASURES
                                                                                                              aM      M
                                                                                                               z+ − az−               aM + aM
    So far we have focused on showing how easy it is to finger-                                           Sz =            ,    Oz = z+        z−
                                                                                                                                                         (8)
                                                                                                                  2g                      2
print smartphones through motion sensors. We now shift our
focus on providing a systematic approach to defending against                                We take 10 measurements along all six directions
such fingerprinting techniques. We propose two approaches:                                   (±x, ±y, ±z) from all our lab devices as shown in Figure 7.
sensor calibration and data obfuscation.                                                     From these measurements we compute the average offset
                                                                                             and gain error along all three axes using equation (8).
                                                                                             Figure 8 shows a scatter-plot of the errors along z − axis
A. Calibration                                                                               for 30 smartphones (each color code represents a certain
    Bojinov et al. [3] observe that their phones have calibration                            make-and-model). We can see that the devices are scattered
errors, and use these calibration differences as a mechanism to                              around all over the plot which signifies that different devices
distinguish between them. In particular, they consider an affine                             have different amount of offset and gain error. Such unique
error model: aM = g · a + o, where a is the true acceleration                                distinction makes fingerprinting feasible.
along an axis and aM is the measured value of the sensor. The                                     8 Requiring around 12 minutes in total for calibrating both the accelerom-
two error parameters are the offset o (bias away from 0) and the                             eter and gyroscope.
gain g which magnifies or diminishes the acceleration value.                                      9 Android and iOS consider the positive and negative direction along an
Our classification uses many features, but we find that the                                  axis differently.

                                                                                         8
                               Fig. 7: Calibrating accelerometer along three axes. We collect measurements along all 6 directions (±x, ±y, ±z).

                                                                                                                                  Measured rotation =        α
                                            Accelerometer data
                                                                                                                                             Actual rotation =     α
                    1.04

                    1.03                                       For Z-axis

                    1.02
Gain error (S)

                                                                                                                                             α
                    1.01

                       1                                                                                                                                   Smartphone
                                                                                                                                   α
                    0.99
                                                                    Nexus S
                    0.98                                           iPhone 5
                                                                  Galaxy S4                                                            (a)
                    0.97                                          Galaxy S3
                                                                  iPhone 5s
                    0.96
                        -1.2     -1   -0.8 -0.6 -0.4 -0.2     0     0.2   0.4   0.6   0.8
                                              Offset error (O)
    Fig. 8: Accelerometer offset and gain error from 30 smartphones.

                                                                                                                                                                  Smartphone
                                                                                                                                                   o
                                                                                                                                             180
Calibrating the Gyroscope: Calibrating gyroscope is a harder
problem as we need to induce a fixed angular change to
                                                                                                                                       (b)
determine the gain error even though the offset error can be
computed while keeping the device stationary10 . Similar to                                        Fig. 9: a) Offset and gain error in gyroscope impact systems that
                                                                                                   use them for angular-displacement measurements. b) Calibrating the
accelerometer we can also represent the measured output of                                         gyroscope by rotating the device 180◦ in the positive x-axis direction.
the gyroscope (ω M = [ωxM , ωyM , ωzM ]) using the following
equation:
        M  "
          ωx          Ox        Sx 0       0     ωx
                          # "                #"      #
        ωyM  = Oy + 0 Sy 0                     ωy                                                The angular displacement along any direction can be computed
                                                         (9)
                                                                                                   from gyroscopic data in the following manner:
          ωzM         Oz         0   0 Sz        ωz
                                                                                                                      ωiM = Oi + Si ω, i ∈ {±x, ±y, ±z}
where again S = [Sx , Sy , Sz ] and O = [Ox , Oy , Oz ] respec-                                              Z t            Z t            Z t
tively represents the gain and offset errors along all three                                                       ωiM dt =     Oi dt + Si     ω dt
axes. Here, ω = [ωx , ωy , ωz ] represents the ideal/actual angular                                           0               0                        0
velocity. Ideally all gain and offset errors should be equal to                                                      θiM = Oi t + Si θ                                         (10)
1 and 0 respectively. But in the real world when the device
is rotated by a fixed amount of angle, the measured angle                                          where t refers to the time it took to rotate the device by θ
tends to deviate from the actual angular displacement (shown                                       angle with a fixed angular velocity of ω. Now, for any two
in figure 9(a)). This impacts any system that uses gyroscope                                       measurements along the opposite directions of an axis we can
for angular-displacement measurements.                                                             compute the offset and gain error using the following equation:
                                                                                                                M      M
    To calibrate gyroscope we again need to collect data along                                                 θi+  + θi−       θM − θi−
                                                                                                                                      M
                                                                                                                                         − Oi (t1 − t2 )
all six different directions (±x, ±y, ±z) individually, but this                                       Oi =               , Si = i+                                            (11)
                                                                                                                 t1 + t2                 2π
time instead of keeping the device stationary we need to rotate
the device by a fixed amount of angle (θ). In our setting, we                                      where i ∈ {x, y, z} and t1 and t2 represents the timespan
set θ = 180◦ (or π rad). For example, Figure 9(b) shows how                                        of the positive and negative measurement respectively. We
we rotate the smartphone by 180◦ around the positive x-axis.                                       take 10 measurements along all six directions (±x, ±y, ±z)
                                                                                                   and compute the average offset and gain error along all three
                 10 However, we found that a gyroscope’s offset was impacted by orientation.       axes. However, since it is practically impossible to manually

                                                                                               9
rotate the device at a fixed angular velocity, the integration in                           TABLE XI: Average F-score for calibrated data under lab setting
equation (10) will introduce noise and therefore, the calculated                             Device                                    Avg. F-score (%)
                                                                                                       Stimulation
errors will at best be approximations of the real errors. We                                 Placed                  Accelerometer   Gyroscope     Accelerometer+Gyroscope
also approximate the integral using trapezoidal rule which will                                         No-audio          71            97                   97
                                                                                             On Desk      Sine            75            98                   98
introduce more error.                                                                                    Song             77            99                   99
                                                                                                        No-audio          69            85                   91
                                                                                             In Hand      Sine            70            90                   93
    We next visualize the offset and gain error obtained from                                            Song             69            89                   93
the gyroscopes of 30 smartphones (only showing for z − axis
where each color code represents a certain make-and-model).
Figure 10 shows our findings. We see similar result compared                               B. Data Obfuscation
to accelerometers where devices are scattered around at differ-
                                                                                               Rather than removing calibration errors, we can instead add
ent regions of the plot. This suggests that gyroscopes exhibit
                                                                                           extra noise to hide the miscalibration. This approach has the
different range of offset and gain error across different units.
                                                                                           advantage of not requiring a calibration step, which requires
                                                                                           user intervention and is particularly difficult for the gyroscope
                                                                                           sensors. As such, the obfuscation technique could be deployed
                                            Gyroscope data                                 with an operating system update. Obfuscation, however, adds
                 1.07                                                                      extra noise and can therefore negatively impact the utility of
                                                              Nexus S
                 1.06                                        iPhone 5                      the sensors (in contrast to calibration, which improves their
                 1.05                                       Galaxy S4                      utility). In this section we will discuss the following techniques
                                                            Galaxy S3                      for adding noise –
                 1.04                                       iPhone 5s
Gain error (S)

                 1.03                                                                        • Uniform noise: highest entropy while having a bound.
                 1.02                                                                        • Laplace noise: highest entropy which is inspired by
                 1.01                                                                          Differential Privacy.
                   1                                                                         • White noise: affecting all aspects of a signal.
                 0.99
                 0.98
                                                                                               1) Uniform Noise: In this section we randomly choose
                                                                                           offset and gain errors from a uniform range where we deduce
                 0.97                                            For Z-axis
                                                                                           the base range from our lab phones.
                 0.96
                    -0.03   -0.02   -0.01    0    0.01   0.02   0.03    0.04   0.05
                                            Offset error (O)                               Basic Obfuscation: First, we consider small obfuscation
           Fig. 10: Gyroscope offset and gain error from 30 smartphones.                   values in the range that is similar to what we observed in the
                                                                                           calibration errors above. Adding noise in this range is roughly
                                                                                           equivalent to switching to a differently (mis)calibrated phone
                                                                                           and therefore should cause minimal impact to the user. To add
                                                                                           obfuscation noise, we compute aO = (aM −oO )/g O , where g O
Fingerprinting Calibrated Data: In this section we look at                                 and oO are the obfuscation gain and offset, respectively. Based
how calibrating sensors impact fingerprinting accuracy. For this                           on Figures 8 and 10, we choose a range of [-0.5,0.5] for the
setting, we first correct the raw values by removing the offset                            accelerometer offset, [-0.1,0.1] for the gyroscope offset, and
and gain errors before extracting features from them. That is,                             [0.95,1.05] for the gain. For each session, we pick uniformly
the calibrated value aC = (aM − o)/g. We then generate                                     random obfuscation gain and offset values from the range;
fingerprints on the corrected data and train the classifiers on                            by varying the obfuscation values we make it difficult to
the new fingerprints. Table XI shows the average F-score for                               fingerprint repeated visits. Table XII summarizes our findings
calibrated data under three scenarios, considering both cases                              when we apply obfuscation to all the sensor data obtained from
where the devices were kept on top of a desk and in the hand                               our 30 lab smartphones. Compared to unaltered data (Table V),
of a user. When we compare the results from uncalibrated data                              data obfuscation seems to provide significant improvement
(Table V) to those from calibrated data, we see that the F-score                           in terms of reducing the average F-score. Depending on the
reduces by approximately 16–25% for accelerometer data but                                 type of audio stimulation, F-score reduces by almost 7–24%
not as much for the gyroscope data. This suggests that we were                             when smartphones are kept stationary on the desk and by 23–
able to calibrate the accelerometer much more precisely than                               42% when smartphones are kept stationary in the hand of the
the gyroscope, as expected given the more complex and error-                               user. The impact of audio stimulation in fingerprinting motion
prone manual calibration procedure for the gyroscope. Another                              sensors is much more visible in these results. We see that
interesting observation is that audio stimulation provides small                           F-score increases by almost 18–21% when a song is being
improvement in classifier accuracy. This suggests that audio                               played in the background (compared to the no-audio scenario);
stimulation does not influence the dominant features removed                               again, we expect this to be a consequence of audio-stimulation
by the calibration, but does significantly impact secondary                                significantly impacting secondary features that come into play
features that come into play once calibration is carried out.                              once primary features are obfuscated.
Overall, our results demonstrate that calibration is a promising
technique, especially if more precise measurements can be                                     Next, we apply similar techniques to the public and
made. Manufacturers should be encouraged to perform better                                 combined dataset. We apply the same range of offset and
calibration to both improve the accuracy of their sensors and                              gain errors to the raw values before generating fingerprints.
to help protect users’ privacy.                                                            Table XIII and Table XIV summarizes our results for both

                                                                                      10
TABLE XII: Average F-score for obfuscated data under lab setting                                                   Using both accelerometer and gyroscope data
  Device                                      Avg. F-score (%)
              Stimulation
  Placed                    Accelerometer   Gyroscope     Accelerometer+Gyroscope                            100
                No-audio         43            73                   75
                                                                                                              90                         No-audio
  On Desk         Sine           49            76                   76
                                                                                                              80                             Sine

                                                                                          Avg. F-score (%)
                 Song            71            88                   93

  In Hand
                No-audio
                  Sine
                                 46
                                 42
                                               46
                                               49
                                                                    51
                                                                    57
                                                                                                              70
                 Song            55            63                   72                                        60
                                                                                                              50
                                                                                                              40
presence and absence of audio stimulation. We see that F-score                                                30
reduces by approximately 20–41% (compared to Table VI                                                         20
and Table VII). We expect one of the reasons for the lower                                                    10
accuracy is the usage of a larger dataset, suggesting that for                                                 0
even larger sets the impact of obfuscation is likely to be even                                                    1 2 3 4 5 6 7 8 9 10
more pronounced.                                                                                                   Obfuscaton Range (’×’ times the base range)
                                                                                         Fig. 11: Impact of obfuscation range as the range is linearly scaled
TABLE XIII: Average F-score for obfuscated data under public                             up from 1x to 10x of the base range.
setting where smartphones were kept on top of a desk
                                        Avg. F-score (%)
  Stimulation
                   Accelerometer      Gyroscope     Accelerometer+Gyroscope
   No-audio             27               52                   57                         The main idea is to probabilistically insert a modified version
     Sine               40               65                   66                         of the current data point in between the past and current
                                                                                         timestamp where the timestamp itself is randomly selected.
                                                                                         Doing so will influence cubic interpolation of the data stream
TABLE XIV: Average F-score for obfuscated data under both lab                            which in turn will impact the spectral features extracted from
and public setting where smartphones were kept on top of a desk                          the data stream.
                                        Avg. F-score (%)
  Stimulation                                                                            Algorithm 1 Obfuscated Data Injection
                   Accelerometer      Gyroscope     Accelerometer+Gyroscope
   No-audio             26               50                   55
     Sine               41               69                   75
                                                                                                  Input: Time series Data (D, T ), Probability P r, Offset O,
                                                                                                           Gain G, Offset Range Orange , Gain Range Grange
                                                                                                  Output: Modified time series Data (M D, M T )
Increasing Obfuscation Range: We now look at how the fin-                                         offset ← N ull
gerprinting technique reacts to different ranges of obfuscation.                                  gain ← N ull
Starting with our base ranges of [−0.5, 0.5] and [−0.1, 0.1]                                      # Random(range) : randomly selects a value in range
for the accelerometer and gyroscope offsets, respectively, and                                    j←1
[0.95, 1.05] for the gain, we linearly scale the ranges and                                       for i = 1 to length(D) do
observe the impact on F-score. We scale all ranges by the same                                       #New data insertion
amount, increasing the ranges symmetrically on both sides of                                         if i > 1 and Random([0, 1]) < P r then
the interval midpoint.                                                                                  offset ← Random(Orange )
                                                                                                        gain ← Random(Grange )
    For this experimental setup we only consider the com-
                                                                                                        M T [j] ← Random([T [i], M T [j − 1])
bined dataset as this contains the most number of devices
                                                                                                        M D[j] ← (D[i] − offset)/gain
(93 in total). We also restrict ourselves to the setting where
                                                                                                        j ←j+1
we combine both the accelerometer and gyroscope features
                                                                                                     end if
because this provides the best result (as evident from all our
                                                                                                     #Original Data
past results). Figure 11 highlights our findings. As we can see
increasing the obfuscation range does reduce F-score but it                                          M D[j] ← (D[i] − O)/G
has a diminishing return. For 10x increment, the F-score drops                                       M T [j] ← T [i]
down to approximately 40% and 55% for no-audio and audio                                             j ←j+1
stimulation respectively. Beyond 10x increment (not shown)                                        end for
the reduction in F-score is minimal (at most 10% reduction at                                     return (M D, M T )
50x increment). This result suggests that simply obfuscating
the raw values is not sufficient to hide all unique characteristics                          To evaluate our approach we first fix an obfuscation range.
of the sensors. So far we have only manipulated the signal                               We choose 10x of the base range from the previous section
value but did not alter any of the frequency features and as a                           as our fixed obfuscation range. We then vary the probability
result the classifier is still able to utilize the spectral features                     of data injection from [0,1]. Figure 12 shows our findings.
to uniquely distinguish individual devices.                                              We can see that even with relatively small amount of data
                                                                                         injection (in the order of 20–40%) we can reduce the average
Enhanced Obfuscation: Given that we know that the spectral                               F-score to approximately 15–20% depending on the type of
features are not impacted by our obfuscation techniques, we                              input stimulation applied.
now focus on adding noise to the frequency of the sensor sig-
nal. Our data injection procedure is described in Algorithm 1.                           Impact of Uniform Noise on Utility: In this section we

                                                                                    11
                                Using both accelerometer and gyroscope data                     differing on at most one element, and all S ⊆ Range(K),
                      100
                                                                    No-audio                                                  Pr[K(D1 ) ∈ S] ≤ e Pr[K(D2 ) ∈ S]               (12)
                       90                                               Sine
                       80
                                                                                                We can remap this setting into our own problem where
                                                                                                we can think of each device as a single data set, and K
Avg. F-score (%)

                       70
                                                                                                as the process of selecting random offset and gain error.
                       60                                                                       S then becomes the outcome of applying random noise to
                       50                                                                       raw sensor data. By changing  we can control to what
                       40                                                                       extent two device-output distributions are alike. In our setting
                       30                                                                       we have offset and gain errors along 6 axes (xyz -axes for
                                                                                                both accelerometer and gyroscope), giving us a total of 12
                       20
                                                                                                dimensions. We equally distribute our privacy budget  along
                       10                                                                       all 12 dimensions and select noise along the i − th dimension
                        0                                                                       using the following Laplace distribution: Lap(0, βi ) where
                            0          0.2        0.4         0.6            0.8       1
                                                                                                βi = Si /(/12) and Si = max(i-th Dimensional values) −
                                 Probability of injecting new data samples                      min(i-th Dimensional values), i ∈ {1, 2, ..., 12}. Figure 13
                      Fig. 12: Impact of randomly inserting new data points.                    shows that as we increase  (i.e., as we lower the scale
                                                                                                parameter of the Laplace distribution), F-score also increases.
                                                                                                But even with a relatively high privacy budget of  = 10 we see
                                                                                                that F-score reduces from around 95% to 47–65% depending
briefly analyze how uniform noise impact applications using                                     on the type of background stimulation.
motion sensors. To evaluate this we prototype a Step Counter
application, a very popular smartphone application [60], that
uses accelerometer readings to determine the number of steps                                                                 Using both accelerometer and gyroscope data
taken by a user. We use the same procedure to collect sensor                                                       100
data through a web page. In our experimental setting, we ask                                                        90
the participant to take 20 steps while holding the phone in                                                         80
                                                                                                Avg. F-score (%)

his/her hand and this whole process in repeated 10 times.                                                           70
We then calibrate11 and obfuscate12 the collected sensor data.
                                                                                                                    60
Table XV shows the step counts computed from the original
and modified sensor streams. Neither calibration nor basic                                                          50
obfuscation have a significant effect on accuracy. We would                                                         40
expect calibration to generally improve accuracy, but our cali-                                                     30
bration process is imperfect and it is possible that it introduces                                                  20
very minor errors. Basic obfuscation introduces errors that                                                                                                     No-audio
                                                                                                                    10
are commensurate with calibration errors of actual devices                                                                                                          Sine
and thus also has minimal impact on accuracy. Increasing                                                             0
                                                                                                                         1      2    3    4     5    6      7       8      9   10
the obfuscation range introduces errors that are still within                                                                                 Epsilon (ε)
acceptable range. However, introducing new data points makes
                                                                                                Fig. 13: Randomly selecting offset/gain errors from a Laplace distri-
the accelerometer readings significantly less reliable, and we                                  bution.
observe this effect in the step count. We next explore several
alternative ways to add noise and their impact on privacy and
utility.
                                                                                                Impact of Laplace Noise on Utility: We rerun our step
                                                                                                counter application on sensor data where we select offset
                        TABLE XV: Impact of calibration and obfuscation                         and gain error from a Laplace distribution while varying
                                                         Step Count                             . Figure 14 shows how step count evolves for different
                                 Stream Type                                                    levels of privacy budget (). We see that as we increase ,
                                                      Mean     Std dev
                                Original Stream        20         0                             step count converges to the expected value with negligible
                               Calibrated Stream      20.1      0.32                            deviation. For  ≥ 6 the confidence interval is negligible,
                              Basic Obfuscation       20.1      0.32                            i.e., for  ≥ 6 the impact of noise is minimal. Notably, on
                         Increased-Range Obfuscation  19.9      1.69                            Figure 13, we can see that for  = 6, we get significantly
                            Enhanced Obfuscation      25.1      4.63                            lower classification accuracy than using low levels of uniform
                                                                                                noise (see Figure 11). This suggests that Laplace noise may
    2) Laplace Noise: Next, we adopted an approach similar                                      achieve a better tradeoff between privacy and utility; we plan
to differential privacy where we randomly selected offset and                                   to investigate its impact on the utility of other applications in
gain error from a Laplace distribution. From the definition of                                  the future.
differential privacy [61], we know that a randomized function                                       3) White Noise: From figure 13 we see that even when
K gives -differential privacy if for all data sets D1 and D2                                    = 1 we can achieve an F-score of 26–41%. We then looked
                                                                                                at the dominant features and found that spectral features like
                   11 Using a handset for which we have computed calibration errors.            spectral irregularity, spectral attack slope and spectral entropy
                   12 Using random offset and gain error for each session.                      are dominant. Changing the gain and offset have minimal

                                                                                           12
                   90                                                                                      200
                                                     Measured Step Count                                   190                              Measured Step Count
                   80                                Expected Step Count                                   180                              Expected Step Count
                                                                                                           170
                                                                                                           160
                   70                                                                                      150

                                                                                         Avg. step count
                                                                                                           140
Avg. step count

                   60                                                                                      130
                                                                                                           120
                   50                                                                                      110
                                                                                                           100
                                                                                                            90
                   40                                                                                       80
                                                                                                            70
                   30                                                                                       60
                                                                                                            50
                   20                                                                                       40
                                                                                                            30
                                                                                                            20
                   10                                                                                       10
                                                                                                             0
                   0                                                                                             0    1    2      3     4   5     6    7      8      9   10
                        0    1     2      3    4    5     6     7     8    9   10                                              SNR (powersignal/powernoise)
                                               Epsilon (ε)
                            Fig. 14: Impact of Laplace noise on utility.                                         Fig. 16: Impact of white noise on sensor utility.

impact on spectral features; therefore we next added Gaussian                            obfuscated unless the user explicitly allows an application to
white noise to the signal, after applying random offset and                              access unaltered sensor data. As we just observed for some
gain error from a Laplace distribution. For this experimental                            applications small amount of obfuscation does not impact
setup we fixed  = 6 (because for  = 6 we observed minimal                              their utility, however, for others, e.g., a 3-D game might need
impact on utility in Figure 14) and varied the signal-to-noise                           access to raw accelerometer and gyroscope data instead of the
ratio (SNR). Figure 15 highlights F-score for different values                           obfuscated data to operate properly, in which case this will be
of SNR. We can see that F-score remains more or less steady                              noticeable to the user who can then provide the appropriate
but increases slightly for higher SNRs. However, compared                                permission to the application. Our default obfuscated-setting
to Laplace noise (Figure 13) we see that F-score decreases                               will ensure that users do not have to worry about applications
significantly when white noise is added to the signal.                                   like browser accessing sensor data without their awareness.

                        Using both accelerometer and gyroscope data
                                                                                                                               VII.    L IMITATIONS
                   50
                                                                                             Our approach has a few limitations. First, we experimented
                   40                                                                    with 93 devices; a larger target device pool could lower our
Avg. F-score (%)

                                                                                         accuracy. However, we conducted our experiments in real-
                   30                                                                    world settings (i.e., users under natural web browsing settings),
                                                                                         collecting data from a wide variety of smartphones. We,
                   20
                                                                                         therefore, believe our results are representatives of real-world
                                                                                         scenarios. Secondly, our calibration process has some errors,
                                                                                         specially the manual calibration process for the gyroscope is
                   10                                                                    error-prone as it is impossible to manually rotate the device
                                                               No-audio
                                                                   Sine                  at a fixed angular velocity. That being said one of our main
                   0                                                                     goals is to show that even simple calibration techniques can
                        0    1     2      3    4    5     6     7     8    9   10
                                                                                         reasonably reduce device fingerprinting.
                                       SNR (powersignal/powernoise)
                            Fig. 15: Impact of white noise on F-score.                                                         VIII.   C ONCLUSION
                                                                                             In this paper, we show that motion sensors such as ac-
Impact of White Noise on Utility: Given that we see adding                               celerometers and gyroscopes can be used to uniquely identify
white noise provides low F-scores we wanted to see what kind                             smartphones. The more concerning matter is that these sensors
on impact it would have on sensor utility. To evaluate this we                           can be surreptitiously accessed by a web page publisher
rerun our step counter application on sensor data after applying                         without users’ awareness. We also show that injecting audio
Gaussian white noise. Figure 16 highlights the computed step                             stimulation in the background improves detection rate as
counts for different SNRs. We see that adding white noise                                sensors like gyroscopes react to acoustic stimulation uniquely.
has drastic consequences as it increases the number of steps
                                                                                             Our countermeasure techniques, however, mitigate such
counted significantly, even at high signal-to-noise ratios.
                                                                                         threats by obfuscating anomalies in sensor data. We were able
                                                                                         to significantly reduce fingerprinting accuracy by employing
C. Deployment Considerations
                                                                                         simple, yet effective obfuscation techniques. As a general
  We envision our obfuscation technique as an update to the                              conclusion, we suggest using our obfuscation techniques in
mobile operating system. Under default setting, data is always                           the absence of explicit user permission/awareness.

                                                                                    13
                          ACKNOWLEDGMENT                                                 [17]   F. Guo and T. cker Chiueh, “Sequence Number-Based MAC Address
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their valuable feedback. We would specially like to thank                                [18]   G. Lyon. Nmap: a free network mapping and security scanning tool.
Romit Roy Choudhury and his group at UIUC for providing                                         http://nmap.org/.
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       website-traffic-share/.
[52]   Top Mobile Browsers from Jan 2014 toJan 2015. http://gs.statcounter.
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[53]   Browser Trends September 2014: Chrome Is the Top Mobile Browser.
       http://www.sitepoint.com/browser-trends-september-2014-chrome-top-
       mobile-browser/.
[54]   Android Sensors Overview. http://developer.android.com/guide/topics/
       sensors/sensors overview.html.
[55]   Corona SDK API reference. http://docs.coronalabs.com/api/library/
       system/setAccelerometerInterval.html.
[56]   MIRtoolbox. https://www.jyu.fi/hum/laitokset/musiikki/en/research/coe/
       materials/mirtoolbox.
                                                                                            Fig. 17: Screenshot of our data collection website.
[57]   LibXtract Documentation. http://libxtract.sourceforge.net/.
[58]   A. Pocock and G. Brown, “FEAST,” 2014, http://mloss.org/software/
       view/386/.
[59]   G. Brown, A. Pocock, M.-J. Zhao, and M. Luján, “Conditional Likeli-
       hood Maximisation: A Unifying Framework for Information Theoretic
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       2012.
[60]   Wearables vs. Smartphone Apps: Which Are Better to Count
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       step-counts.html.
[61]   C. Dwork, “Differential Privacy,” in Proceedings of the 33rd Interna-
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       Springer Verlag, 2006, pp. 1–12.

                     A PPENDIX A
       ACCESSING M OTION S ENSORS F ROM B ROWSER
    To access motion sensors the DeviceMotion class needs to
be initialized. A sample JavaScript snippet is given below:

if(window.DeviceMotionEvent!=undefined){
    window.addEventListener(’devicemotion’,
       motionHandler);
    window.ondevicemotion = motionHandler;
}

                                                                                15
