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Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 449
Ponder, B. et al. (2016): JoSS, Vol. 5, No. 2, pp. 449–456
(Peer-reviewed article available at www.jossonline.com)
Using Cellphone Magnetometers for
Science on CubeSats
Brandon M. Ponder
Aerospace Engineering, University of Michigan, Ann Arbor, MI USA
Arie Sheinker and Mark B. Moldwin
Atmospheric, Oceanic and Space Sciences, University of Michigan, Ann Arbor, MI USA
Abstract
This paper explores the feasibility of using a smartphone magnetometer for CubeSat space science applica-
tions. Although smartphone magnetometers are less precise than other low-cost magnetic sensors that have been
used on CubeSats, the study demonstrates the detection of Field-Aligned Currents (FACs) and Auroral Electrojet
(AEJ) and Equatorial Electrojet (EEJ) signatures with low-precision, low-cost smartphone magnetometers. It
shows that low cost smartphone magnetometers, despite being significantly less sensitive than research quality
sensors, can measure FACs and AEJ and EEJ signatures by using the newly developed signal processing method
described herein.
1. Introduction
Modern cellular phones, i.e., smartphones, incor-
porate many types of sensors, including magnetome-
ters that are used by many applications as a compass.
The cost of sensors embedded in smartphones has
dropped dramatically, as the number of phones pro-
duced each year is estimated to have increased to more
than one billion smartphones sold in 2013 (Fingas,
2014). The magnetic sensors inside the Apple iPhone
5S and the Samsung Galaxy S4 are the Asahi Kasei
AK8963 and the Yamaha YAS532, respectively,
which are tri-axial hall effect sensors. This study uses
the iPhone 5S and Samsung Galaxy S4 to represent
popular smartphones and examine whether the level of
sensitivity of the smartphone magnetometer is suitable
for space science studies.
A 1U CubeSat is a small satellite that is cube-
shaped with a side length of 10 cm and usually weighs
no more than 1.33 kg (“CubeSat Design Specification
Rev. 13”). CubeSats have significantly lowered the
cost of satellites by often using commercial-off-the-
shelf electronics and sensors. A NASA project,
PhoneSat, explored the use of smartphones to control
Corresponding Author: Brandon M. Ponder, bponder@umich.edu
Ponder, B. et al.
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 450
all of the critical functions of the satellite (such as to
help determine attitude, store data, and use the camera
to take images of the Earth) and has already flown the
Nexus One smartphone in space (Talbert, 2013).
PhoneSat 2.4 made use of the Nexus S smartphone
magnetometer with a magnetorquer (Kramer, 2002) to
help orient the satellite. Hence, smartphones in gen-
eral, and smartphone magnetometers in particular,
have been used as part of the attitude control system
on CubeSats.
Satellites often use research quality magnetome-
ters to help stabilize the satellite, determine orienta-
tion, or measure the magnetic field for scientific re-
search. These magnetometers are sensitive and accu-
rate, but much more expensive than a smartphone
(Table 1).
It is anecdotally understood that research quality
magnetometers are about $1,000 USD, but for space
missions the price increases an order of magnitude be-
cause of the radiation tolerance feature. The added bo-
nus is that smartphones come with a data acquisition
unit, microprocessor, and storage device already inte-
grated with a simple development platform. By
launching smartphone-based CubeSats in a distributed
constellation of small satellites, similar to the IRID-
IUM-based Active Magnetosphere and Planetary
Electrodynamics Response Experiment (AMPERE)
mission (Clausen et al., 2012), they can perform a
science mission for lower cost and higher mission
security. AMPERE uses the IRIDIUM communication
satellites to measure high latitude auroral currents
flowing through the Earth’s upper atmosphere to
monitor space weather. Smartphone-based CubeSats
are much cheaper than CubeSats and larger satellites
with research-grade magnetometers. At the same
price, it is possible to launch multiple smartphone-
based CubeSats, so that even if one fails, the others can
perform the mission, ultimately increasing mission
success probability. Moreover, the CubeSat constella-
tions have the advantage of measuring in different lo-
cations simultaneously for mapping purposes.
Like AMPERE, which uses low-sensitivity mag-
netometers designed for attitude control, this study ex-
plores whether low-resolution smartphone magnetom-
eters can be used to identify field-aligned currents and
electrojet currents that flow in the Earth’s ionosphere.
The Field-Aligned Currents (FACs) and Auroral Elec-
trojet (AEJ) and Equatorial Electrojet (EEJ) currents
flow into and through the ionosphere and have latitu-
dinal thicknesses between 700 km and 1000 km, and
often give rise to magnetic perturbations observed on
low-Earth orbit satellites on the order of 100 nT (for
the EEJ) and many hundreds to more than 1000 nT (for
the FAC and AEJ) (Alken and Maus, 2007; Slavin et
al., 2008; Vennerstrom and Moretto, 2013; Gasperini
and Forbes, 2014). The location and intensity of these
current systems provide information about how energy
is flowing and dissipating in the Earth’s space envi-
ronment and are often used as proxies for measuring
the intensity of geomagnetic disturbances (Moretto et
al., 2002).
This study demonstrates that the smartphone mag-
netometer is able to measure variations in the magnetic
intensity of FACs, AEJ, and strong EEJ signals using
signal post-processing techniques, by taking ad-
vantage of the known range of dimensions and ex-
pected magnetic bipolar magnetic signature that cur-
rent sheets and electrojets possess. Though the signal
processing technique described here is designed to pull
current signatures from low-resolution commercial
cellphone magnetometer data, the technique can be
used to extract weak signals for research grade mag-
netometers as well.
Table 1. Performance Comparison of Magnetometers
Price (USD) Intrinsic Noise Rating (nT(√𝐻𝑧)−1
Typical Smartphone < $1,000 100
Space-rated, Radiation-Hardened Research
Magnetometer
~ $10,000 0.1 or less
Using Cellphone Magnetometers for Science on CubeSats
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 451
2. Performance of Smartphone Magnetometers
The purpose of evaluating the sensitivity of
smartphone sensors is to show that it is feasible to
measure the changes expected when passing through
field-aligned currents, AEJ or strong EEJ. A typical
signal varies up to 300 nT peak to peak over a degree
in latitude (Alken and Maus, 2007; Slavin et al., 2008;
Vennerstrom and Moretto, 2013; Gasperini and
Forbes, 2014).
The manufacturer’s specifications on the magnetic
sensor used in the iPhone 5S (Asahi Kasei Microde-
vices Corporation, 2010) claims a measurement range
of ± 1200 μT and a resolution of 300 nT LSB−1
. De-
tecting the EEJ field change of 300 nT with a sensor
that only has a resolution of 300 nT LSB−1
requires
taking additional measures. Therefore, this study pro-
poses a method for detecting magnetic current signa-
tures based on digital signal processing and knowing
the expected duration and shape of the magnetic per-
turbations due to current sheets and jets.
As a first step, the analysis evaluated the
smartphones sensitivity and accuracy similarly to what
has been done for other commercial magnetometers
(Matandirotya et al., 2013). For both devices, record-
ing was for ten minutes at a sampling rate of 10 Hz.
The data are then transferred to a PC for further pro-
cessing. The mean value, standard deviation (σ), and
power spectrum density (PSD) were calculated. Figure
1 shows the setup used for testing the noise density in-
side a three-layer magnetic shield can which practi-
cally blocks the external magnetic field and thereby
enables the measurement of the phone’s intrinsic
noise. Table 2 shows the calculated σ of the different
magnetic sensors in different phones.
The Earth’s magnetic field in Ann Arbor, MI, USA
is about 54,050 nT (National Oceanic and Atmos-
pheric Administration National Geophysical Data
Center: Magnetic Field Calculators). Both sensors’
measurements are in the range of about ± 3,500 nT rel-
ative to the nominal field. Since the focus is on using
the magnetometers as variometers, this is an accepta-
ble accuracy. In the future, it might be improved by
first calibrating the sensors.
Figure 2 shows the noise density, which is above
1,000 nT (√𝐻𝑧)−1
within the relevant bandwidth. The
measurements were carried out inside the magnetic
shield which allows the measured magnetic field to
represent the sensor’s intrinsic noise. As expected, the
intrinsic noise follows the trend of about 1/f
(Slawomir, 2011). The calculation of the signals pe-
riod, shown later, is 91–130 seconds. The correspond-
ing bandwidth is at least 0.01 Hz. To achieve fine res-
olution and be able to filter out interferences while
avoiding aliasing, the bandwidth should be about 1 Hz.
Figure 1. Galaxy S4 running the Sensor Dump app inside of a
three-layer magnetic shield.
Table 2. Comparison of the σ Between Magnetic Sensors
(nT)
Galaxy S4
(YAS532)
iPhone 5S
(AK8963)
Galaxy S4
(AK8963)
σ 350 380 320
Ponder, B. et al.
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 452
3. Signal Processing Method and Results
The current study proposes the following method
to extract the signal out of the noise. Figure 3 shows
the proposed method comprising of bias removal, low
pass filtering, decimation, and applying match filter-
ing.
First, the bias was removed, since the only interest
is in changes in the magnetic field. Next, averaging
was applied, comprising low pass filtering (while
avoiding aliasing and decimation). Afterwards, a
matched filter was employed, to correlate the meas-
ured signal with a reference signal that resembles the
Figure 2. PSD of the x-axis of the iPhone 5S measured inside the magnetic shield.
Figure 3. Block diagram of simulating the EEJ environment and process of noise reduction.
Using Cellphone Magnetometers for Science on CubeSats
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 453
expected EEJ signal. Figure 4 shows the reference sig-
nal used in the simulation. The inspiration for the
shape of the reference signal is anomaly expected
when passing through the current sheet seen in Figure
5. The matched filter enables detecting signals with
similar patterns to the reference signal while suppress-
ing all other signals. Finally, a threshold was used for
making the decision of whether an EEJ signal has been
Figure 4. Normalized, reference signal for matched filtering step.
Figure 5. The magnetic perturbations and spatial derivatives in vertical (radial, black line) and inclined (radial, red
line) components of a satellite crossing an infinite line current of 1MA at a height of 300 km. The satellite track and
field geometry are shown in the bottom right corner (from Vennerstrom and Moretto, 2013).
Ponder, B. et al.
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 454
detected. In tests, the signal-to-noise ratio (SNR) was
around 0.3 using a smartphone satellite without signal
processing. The improved SNR at the output, approx-
imately 3, enables one to empirically choose an ade-
quate threshold for detection. However, determining
an optimal threshold is a subject for future investiga-
tion.
Given the conditions and a typical sample of noise,
the study simulated the iPhone acquiring data while
flying through the current sheet seen in Figure 5. As-
suming a CubeSat in low Earth orbit (LEO) traveling
at a velocity of 7.7 km s−1
and knowing that the thick-
ness of the EEJ/FAC/AEJ is between 700 km–1000
km (Alken and Maus, 2007; Slavin et al., 2008; Ven-
nerstrom and Moretto, 2013), the relevant period is 91
s to 130 s. The corresponding frequency bandwidth is
7.7 mHz through 11 mHz. Figure 5 (from Venner-
strom and Moretto, 2013) shows what the magnetic
signature would look like for a satellite at 300 km or-
bital altitude.
The sensor tests show that the smartphone’s mag-
netometer noise is higher than the expected environ-
mental noise in orbit. Therefore, the magnetic noise
acquired in the shield can be used to simulate the ex-
pected noise in orbit. The next step was to add the
noise measured from the magnetometers while inside
the magnetic shield to the simulated signal. For future
reference, this signal is referred to as the simulated
measurement. The EEJ with zero noise is shown in
Figure 6a. Figure 6b shows a simulated signal of an
EEJ using a smartphone quality magnetometer, while
Figure 6c is the smartphone simulated measurement
after applying decimation. As seen in Figure 6b, the
EEJ signature is practically hidden inside the noise.
Figure 6c depicts the previously hidden signal after
smoothing and decimation, which clearly improves the
visibility of the ambient field.
This study averaged the data by oversampling (us-
ing a faster data acquisition frequency) and then aver-
aging a number of samples to one data point. This is
repeated through the whole data set. Obtaining a larger
number of samples should better represent the EEJ sig-
nal while providing enough points to prevent losing
resolution.
Figure 6d is the output of the algorithm. The large
peak seen shows detection of the simulated EEJ anom-
aly. With a suitable threshold, this data could return a
binary response (Yes/No) and time stamp for mapping
purposes. The reference signal is mimicking the solid
black and red curves in Figure 5. The measured signal
is the readings from the smartphone magnetometer
(Figure 6b). The final step was to square the new sig-
nal to accentuate the peaks during the transition period
through the EEJ. The detection is seen around 1500 s.
This study models the AEJ/EEJ/FAC signature de-
picted in Figure 5 by a reference function as depicted
in Figure 4. However, tests show that even different
functions, e.g., hyperbolic tangents and certain step
functions, for the matched filtering produce similar re-
sults.
To further evaluate the robustness of the algo-
rithm, it was important to verify that the reference sig-
nal period could be different than the simulated meas-
urement period.
As previously mentioned, the time it takes to pass
through the whole EEJ ranges from about 91 s to 130
s. For this reason, sine waves with periods of 90 s and
130 s were also tested while keeping the reference sig-
nal period of 120 s. The detection is apparent and of
similar SNR.
When varying the period of the simulated signal
between 50 s and 300 s, the detection output is
bounded to within 10% of 150 (ambiguous units).
Around 150 is peak, see Figure 6, when the reference
signal period and simulated signal period are matched
(both values at 120 s). In both cases, the detection peak
around the 120 second timestamp is still more than
double the amplitude of any other random peaks that
appear from the noise of the phone. For routine current
identification, a Monte Carlo approach should be used
examining the time series and convolving the data
with sine waves of varying duration across regions
where bipolar signatures are observed. Since the
strongest EEJ intensity is often significantly weaker
than the AEJ, this analysis demonstrates that with sig-
nal processing, a smartphone magnetometer could be
used to map the location of global current systems by
Using Cellphone Magnetometers for Science on CubeSats
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 455
taking advantage of the approximate shape of the cur-
rent signature and range of expected current crossing
durations.
4. Further Investigation
Despite the smartphone sensor’s rather poor sensi-
tivity compared to most advanced magnetometers
used on other missions, the current study demonstrated
that with signal processing, smartphones are able to
measure FAC, AEJ, and strong EEJ with an SNR of
about 3. Magnetometer calibration and smartphone
noise mitigation will potentially allow the use of
smartphones for many other applications involving de-
tection of even lower magnetic signals. Development
of a robust and computationally efficient search algo-
rithm would also make routine identification and map-
ping of current systems possible using CubeSat based
magnetometer data, even with low-resolution magne-
tometers.
Figure 6. The top plot shows the signal we are attempting to detect. The next plot simulates the magnetic measurements of a Cu-
beSat equipped with an iPhone 5S passing through an EEJ. The third plot shows the applied averaging and filtering. The bottom
plot is the output of convolving the reference signal and third plot together.
Ponder, B. et al.
Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 456
5. Conclusions
Using a smartphone magnetometer on a CubeSat
provides a low-cost navigational and science instru-
ment capable of detecting the Earth’s global current
systems. The Smartphone sensors used in the iPhone
5S and Galaxy S4 have σ around 300 nT. Given the
expected variations in magnetic field intensity for
passing through FAC, AEJ, and strong EEJ, applying
signal processing is required to detect the field signa-
ture of typical current intensities.
Acknowledgments
This work was partially supported by a University
of Michigan Grand Challenges for a Third Century
Team Building grant.
References
Alken, P. and Maus, S. (2007): Spatio-temporal Char-
acterization of the Equatorial Electrojet from
CHAMP, Ørsted, and SAC-C Satellite Magnetic
Measurements. J. Geophys. Res., 112, A09305,
doi:10.1029/2007JA012524.
Clausen, L. B. N. et al. (2012): Dynamics of the
Region 1 Birkeland Current Oval Derived
from the Active Magnetosphere and Planetary
Electrodynamics Response Experiment (AM-
PERE), J. Geophys. Res., 117, A06233,
doi:10.1029/2012JA017666.
Fingas, J. (2014): Smartphone sales may have
topped 1 billion in 2013, depending on who
you ask. Available at: http:www.engadget.com/
2014/01/28/smartphone/smartphone-sales-may-
have-topped-1-billion-2013/ (last accessed Janu-
ary 23, 2015).
Gasperini, F. and Forbes, J. M. (2014): Lunar-
solar Interactions in the Equatorial Electrojet,
Geophys. Res. Lett., 41, 3026–3031, doi:10.1002/
2014GL059294.
Kramer, H. (2002): PhoneSat-2.5. Earth Observa-
tion Portal. Available at: https://directory.
eoportal.org/web/eoportal/satellite-missions/p/
phonesat-2-5 (last accessed January 23, 2015).
Matandirotya, E. et al. (2013): Evaluation of a Com-
mercial-Off-the-Shelf Fluxgate Magnetometer for
CubeSat Space Magnetometry. J. Small Satellites,
Vol. 2, No. 1, pp. 133–146.
Moretto, T. et al. (2002): Investigating the Auroral
Electrojets with Low Altitude Polar Orbiting
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igrfwmm (last accessed May 12, 2014).
Slavin, J. A. et al. (2008): Space Technology 5 Multi-
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Final-Using-Cellphone-Magnetometers-for-Science-on-CubeSats

  • 1. www.DeepakPublishing.com www. JoSSonline.com Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 449 Ponder, B. et al. (2016): JoSS, Vol. 5, No. 2, pp. 449–456 (Peer-reviewed article available at www.jossonline.com) Using Cellphone Magnetometers for Science on CubeSats Brandon M. Ponder Aerospace Engineering, University of Michigan, Ann Arbor, MI USA Arie Sheinker and Mark B. Moldwin Atmospheric, Oceanic and Space Sciences, University of Michigan, Ann Arbor, MI USA Abstract This paper explores the feasibility of using a smartphone magnetometer for CubeSat space science applica- tions. Although smartphone magnetometers are less precise than other low-cost magnetic sensors that have been used on CubeSats, the study demonstrates the detection of Field-Aligned Currents (FACs) and Auroral Electrojet (AEJ) and Equatorial Electrojet (EEJ) signatures with low-precision, low-cost smartphone magnetometers. It shows that low cost smartphone magnetometers, despite being significantly less sensitive than research quality sensors, can measure FACs and AEJ and EEJ signatures by using the newly developed signal processing method described herein. 1. Introduction Modern cellular phones, i.e., smartphones, incor- porate many types of sensors, including magnetome- ters that are used by many applications as a compass. The cost of sensors embedded in smartphones has dropped dramatically, as the number of phones pro- duced each year is estimated to have increased to more than one billion smartphones sold in 2013 (Fingas, 2014). The magnetic sensors inside the Apple iPhone 5S and the Samsung Galaxy S4 are the Asahi Kasei AK8963 and the Yamaha YAS532, respectively, which are tri-axial hall effect sensors. This study uses the iPhone 5S and Samsung Galaxy S4 to represent popular smartphones and examine whether the level of sensitivity of the smartphone magnetometer is suitable for space science studies. A 1U CubeSat is a small satellite that is cube- shaped with a side length of 10 cm and usually weighs no more than 1.33 kg (“CubeSat Design Specification Rev. 13”). CubeSats have significantly lowered the cost of satellites by often using commercial-off-the- shelf electronics and sensors. A NASA project, PhoneSat, explored the use of smartphones to control Corresponding Author: Brandon M. Ponder, bponder@umich.edu
  • 2. Ponder, B. et al. Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 450 all of the critical functions of the satellite (such as to help determine attitude, store data, and use the camera to take images of the Earth) and has already flown the Nexus One smartphone in space (Talbert, 2013). PhoneSat 2.4 made use of the Nexus S smartphone magnetometer with a magnetorquer (Kramer, 2002) to help orient the satellite. Hence, smartphones in gen- eral, and smartphone magnetometers in particular, have been used as part of the attitude control system on CubeSats. Satellites often use research quality magnetome- ters to help stabilize the satellite, determine orienta- tion, or measure the magnetic field for scientific re- search. These magnetometers are sensitive and accu- rate, but much more expensive than a smartphone (Table 1). It is anecdotally understood that research quality magnetometers are about $1,000 USD, but for space missions the price increases an order of magnitude be- cause of the radiation tolerance feature. The added bo- nus is that smartphones come with a data acquisition unit, microprocessor, and storage device already inte- grated with a simple development platform. By launching smartphone-based CubeSats in a distributed constellation of small satellites, similar to the IRID- IUM-based Active Magnetosphere and Planetary Electrodynamics Response Experiment (AMPERE) mission (Clausen et al., 2012), they can perform a science mission for lower cost and higher mission security. AMPERE uses the IRIDIUM communication satellites to measure high latitude auroral currents flowing through the Earth’s upper atmosphere to monitor space weather. Smartphone-based CubeSats are much cheaper than CubeSats and larger satellites with research-grade magnetometers. At the same price, it is possible to launch multiple smartphone- based CubeSats, so that even if one fails, the others can perform the mission, ultimately increasing mission success probability. Moreover, the CubeSat constella- tions have the advantage of measuring in different lo- cations simultaneously for mapping purposes. Like AMPERE, which uses low-sensitivity mag- netometers designed for attitude control, this study ex- plores whether low-resolution smartphone magnetom- eters can be used to identify field-aligned currents and electrojet currents that flow in the Earth’s ionosphere. The Field-Aligned Currents (FACs) and Auroral Elec- trojet (AEJ) and Equatorial Electrojet (EEJ) currents flow into and through the ionosphere and have latitu- dinal thicknesses between 700 km and 1000 km, and often give rise to magnetic perturbations observed on low-Earth orbit satellites on the order of 100 nT (for the EEJ) and many hundreds to more than 1000 nT (for the FAC and AEJ) (Alken and Maus, 2007; Slavin et al., 2008; Vennerstrom and Moretto, 2013; Gasperini and Forbes, 2014). The location and intensity of these current systems provide information about how energy is flowing and dissipating in the Earth’s space envi- ronment and are often used as proxies for measuring the intensity of geomagnetic disturbances (Moretto et al., 2002). This study demonstrates that the smartphone mag- netometer is able to measure variations in the magnetic intensity of FACs, AEJ, and strong EEJ signals using signal post-processing techniques, by taking ad- vantage of the known range of dimensions and ex- pected magnetic bipolar magnetic signature that cur- rent sheets and electrojets possess. Though the signal processing technique described here is designed to pull current signatures from low-resolution commercial cellphone magnetometer data, the technique can be used to extract weak signals for research grade mag- netometers as well. Table 1. Performance Comparison of Magnetometers Price (USD) Intrinsic Noise Rating (nT(√𝐻𝑧)−1 Typical Smartphone < $1,000 100 Space-rated, Radiation-Hardened Research Magnetometer ~ $10,000 0.1 or less
  • 3. Using Cellphone Magnetometers for Science on CubeSats Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 451 2. Performance of Smartphone Magnetometers The purpose of evaluating the sensitivity of smartphone sensors is to show that it is feasible to measure the changes expected when passing through field-aligned currents, AEJ or strong EEJ. A typical signal varies up to 300 nT peak to peak over a degree in latitude (Alken and Maus, 2007; Slavin et al., 2008; Vennerstrom and Moretto, 2013; Gasperini and Forbes, 2014). The manufacturer’s specifications on the magnetic sensor used in the iPhone 5S (Asahi Kasei Microde- vices Corporation, 2010) claims a measurement range of ± 1200 μT and a resolution of 300 nT LSB−1 . De- tecting the EEJ field change of 300 nT with a sensor that only has a resolution of 300 nT LSB−1 requires taking additional measures. Therefore, this study pro- poses a method for detecting magnetic current signa- tures based on digital signal processing and knowing the expected duration and shape of the magnetic per- turbations due to current sheets and jets. As a first step, the analysis evaluated the smartphones sensitivity and accuracy similarly to what has been done for other commercial magnetometers (Matandirotya et al., 2013). For both devices, record- ing was for ten minutes at a sampling rate of 10 Hz. The data are then transferred to a PC for further pro- cessing. The mean value, standard deviation (σ), and power spectrum density (PSD) were calculated. Figure 1 shows the setup used for testing the noise density in- side a three-layer magnetic shield can which practi- cally blocks the external magnetic field and thereby enables the measurement of the phone’s intrinsic noise. Table 2 shows the calculated σ of the different magnetic sensors in different phones. The Earth’s magnetic field in Ann Arbor, MI, USA is about 54,050 nT (National Oceanic and Atmos- pheric Administration National Geophysical Data Center: Magnetic Field Calculators). Both sensors’ measurements are in the range of about ± 3,500 nT rel- ative to the nominal field. Since the focus is on using the magnetometers as variometers, this is an accepta- ble accuracy. In the future, it might be improved by first calibrating the sensors. Figure 2 shows the noise density, which is above 1,000 nT (√𝐻𝑧)−1 within the relevant bandwidth. The measurements were carried out inside the magnetic shield which allows the measured magnetic field to represent the sensor’s intrinsic noise. As expected, the intrinsic noise follows the trend of about 1/f (Slawomir, 2011). The calculation of the signals pe- riod, shown later, is 91–130 seconds. The correspond- ing bandwidth is at least 0.01 Hz. To achieve fine res- olution and be able to filter out interferences while avoiding aliasing, the bandwidth should be about 1 Hz. Figure 1. Galaxy S4 running the Sensor Dump app inside of a three-layer magnetic shield. Table 2. Comparison of the σ Between Magnetic Sensors (nT) Galaxy S4 (YAS532) iPhone 5S (AK8963) Galaxy S4 (AK8963) σ 350 380 320
  • 4. Ponder, B. et al. Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 452 3. Signal Processing Method and Results The current study proposes the following method to extract the signal out of the noise. Figure 3 shows the proposed method comprising of bias removal, low pass filtering, decimation, and applying match filter- ing. First, the bias was removed, since the only interest is in changes in the magnetic field. Next, averaging was applied, comprising low pass filtering (while avoiding aliasing and decimation). Afterwards, a matched filter was employed, to correlate the meas- ured signal with a reference signal that resembles the Figure 2. PSD of the x-axis of the iPhone 5S measured inside the magnetic shield. Figure 3. Block diagram of simulating the EEJ environment and process of noise reduction.
  • 5. Using Cellphone Magnetometers for Science on CubeSats Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 453 expected EEJ signal. Figure 4 shows the reference sig- nal used in the simulation. The inspiration for the shape of the reference signal is anomaly expected when passing through the current sheet seen in Figure 5. The matched filter enables detecting signals with similar patterns to the reference signal while suppress- ing all other signals. Finally, a threshold was used for making the decision of whether an EEJ signal has been Figure 4. Normalized, reference signal for matched filtering step. Figure 5. The magnetic perturbations and spatial derivatives in vertical (radial, black line) and inclined (radial, red line) components of a satellite crossing an infinite line current of 1MA at a height of 300 km. The satellite track and field geometry are shown in the bottom right corner (from Vennerstrom and Moretto, 2013).
  • 6. Ponder, B. et al. Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 454 detected. In tests, the signal-to-noise ratio (SNR) was around 0.3 using a smartphone satellite without signal processing. The improved SNR at the output, approx- imately 3, enables one to empirically choose an ade- quate threshold for detection. However, determining an optimal threshold is a subject for future investiga- tion. Given the conditions and a typical sample of noise, the study simulated the iPhone acquiring data while flying through the current sheet seen in Figure 5. As- suming a CubeSat in low Earth orbit (LEO) traveling at a velocity of 7.7 km s−1 and knowing that the thick- ness of the EEJ/FAC/AEJ is between 700 km–1000 km (Alken and Maus, 2007; Slavin et al., 2008; Ven- nerstrom and Moretto, 2013), the relevant period is 91 s to 130 s. The corresponding frequency bandwidth is 7.7 mHz through 11 mHz. Figure 5 (from Venner- strom and Moretto, 2013) shows what the magnetic signature would look like for a satellite at 300 km or- bital altitude. The sensor tests show that the smartphone’s mag- netometer noise is higher than the expected environ- mental noise in orbit. Therefore, the magnetic noise acquired in the shield can be used to simulate the ex- pected noise in orbit. The next step was to add the noise measured from the magnetometers while inside the magnetic shield to the simulated signal. For future reference, this signal is referred to as the simulated measurement. The EEJ with zero noise is shown in Figure 6a. Figure 6b shows a simulated signal of an EEJ using a smartphone quality magnetometer, while Figure 6c is the smartphone simulated measurement after applying decimation. As seen in Figure 6b, the EEJ signature is practically hidden inside the noise. Figure 6c depicts the previously hidden signal after smoothing and decimation, which clearly improves the visibility of the ambient field. This study averaged the data by oversampling (us- ing a faster data acquisition frequency) and then aver- aging a number of samples to one data point. This is repeated through the whole data set. Obtaining a larger number of samples should better represent the EEJ sig- nal while providing enough points to prevent losing resolution. Figure 6d is the output of the algorithm. The large peak seen shows detection of the simulated EEJ anom- aly. With a suitable threshold, this data could return a binary response (Yes/No) and time stamp for mapping purposes. The reference signal is mimicking the solid black and red curves in Figure 5. The measured signal is the readings from the smartphone magnetometer (Figure 6b). The final step was to square the new sig- nal to accentuate the peaks during the transition period through the EEJ. The detection is seen around 1500 s. This study models the AEJ/EEJ/FAC signature de- picted in Figure 5 by a reference function as depicted in Figure 4. However, tests show that even different functions, e.g., hyperbolic tangents and certain step functions, for the matched filtering produce similar re- sults. To further evaluate the robustness of the algo- rithm, it was important to verify that the reference sig- nal period could be different than the simulated meas- urement period. As previously mentioned, the time it takes to pass through the whole EEJ ranges from about 91 s to 130 s. For this reason, sine waves with periods of 90 s and 130 s were also tested while keeping the reference sig- nal period of 120 s. The detection is apparent and of similar SNR. When varying the period of the simulated signal between 50 s and 300 s, the detection output is bounded to within 10% of 150 (ambiguous units). Around 150 is peak, see Figure 6, when the reference signal period and simulated signal period are matched (both values at 120 s). In both cases, the detection peak around the 120 second timestamp is still more than double the amplitude of any other random peaks that appear from the noise of the phone. For routine current identification, a Monte Carlo approach should be used examining the time series and convolving the data with sine waves of varying duration across regions where bipolar signatures are observed. Since the strongest EEJ intensity is often significantly weaker than the AEJ, this analysis demonstrates that with sig- nal processing, a smartphone magnetometer could be used to map the location of global current systems by
  • 7. Using Cellphone Magnetometers for Science on CubeSats Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 455 taking advantage of the approximate shape of the cur- rent signature and range of expected current crossing durations. 4. Further Investigation Despite the smartphone sensor’s rather poor sensi- tivity compared to most advanced magnetometers used on other missions, the current study demonstrated that with signal processing, smartphones are able to measure FAC, AEJ, and strong EEJ with an SNR of about 3. Magnetometer calibration and smartphone noise mitigation will potentially allow the use of smartphones for many other applications involving de- tection of even lower magnetic signals. Development of a robust and computationally efficient search algo- rithm would also make routine identification and map- ping of current systems possible using CubeSat based magnetometer data, even with low-resolution magne- tometers. Figure 6. The top plot shows the signal we are attempting to detect. The next plot simulates the magnetic measurements of a Cu- beSat equipped with an iPhone 5S passing through an EEJ. The third plot shows the applied averaging and filtering. The bottom plot is the output of convolving the reference signal and third plot together.
  • 8. Ponder, B. et al. Copyright © A. Deepak Publishing. All rights reserved. JoSS, Vol. 5, No. 2, p. 456 5. Conclusions Using a smartphone magnetometer on a CubeSat provides a low-cost navigational and science instru- ment capable of detecting the Earth’s global current systems. The Smartphone sensors used in the iPhone 5S and Galaxy S4 have σ around 300 nT. Given the expected variations in magnetic field intensity for passing through FAC, AEJ, and strong EEJ, applying signal processing is required to detect the field signa- ture of typical current intensities. Acknowledgments This work was partially supported by a University of Michigan Grand Challenges for a Third Century Team Building grant. References Alken, P. and Maus, S. (2007): Spatio-temporal Char- acterization of the Equatorial Electrojet from CHAMP, Ørsted, and SAC-C Satellite Magnetic Measurements. J. Geophys. Res., 112, A09305, doi:10.1029/2007JA012524. Clausen, L. B. N. et al. (2012): Dynamics of the Region 1 Birkeland Current Oval Derived from the Active Magnetosphere and Planetary Electrodynamics Response Experiment (AM- PERE), J. Geophys. Res., 117, A06233, doi:10.1029/2012JA017666. Fingas, J. (2014): Smartphone sales may have topped 1 billion in 2013, depending on who you ask. Available at: http:www.engadget.com/ 2014/01/28/smartphone/smartphone-sales-may- have-topped-1-billion-2013/ (last accessed Janu- ary 23, 2015). Gasperini, F. and Forbes, J. M. (2014): Lunar- solar Interactions in the Equatorial Electrojet, Geophys. Res. Lett., 41, 3026–3031, doi:10.1002/ 2014GL059294. Kramer, H. (2002): PhoneSat-2.5. Earth Observa- tion Portal. Available at: https://directory. eoportal.org/web/eoportal/satellite-missions/p/ phonesat-2-5 (last accessed January 23, 2015). Matandirotya, E. et al. (2013): Evaluation of a Com- mercial-Off-the-Shelf Fluxgate Magnetometer for CubeSat Space Magnetometry. J. Small Satellites, Vol. 2, No. 1, pp. 133–146. Moretto, T. et al. (2002): Investigating the Auroral Electrojets with Low Altitude Polar Orbiting Satellites. Ann. Geophys., 20, 1049–1061, doi:10.5194/angeo-20-1049-2002. National Oceanic and Atmospheric Administra- tion National Geophysical Data Center: Magnetic Field Calculators. Available at: http://www.ngdc.noaa.gov/geomag-web/# igrfwmm (last accessed May 12, 2014). Slavin, J. A. et al. (2008): Space Technology 5 Multi- point Measurements of Near-Earth Magnetic Fields: Initial results. Geophys. Res. Lett., 35, L02107, doi:10.1029/2007GL031728. Tumanski, S. (2011): Handbook of Magnetic Meas- urements, 1st ed. Boca Raton, FL: CRC Press, A Taylor and Francis Book. Talbert, T. (2013): PhoneSat Flight Demonstrations. National Aeronautics and Space Administration, Available at: http://www.nasa.gov/directorates/ spacetech/small_spacecraft/phonesat.html (last accessed July 7, 2014). Vennerstrom, S. and Moretto, T. (2013): Monitoring Auroral Electrojets with Satellite Data. Space Weather, 11, 509–519, doi:10.1002/swe.20090.