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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>February</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Low-Cost Millimeter-Wave Interactive Sensing through Origami Reflectors</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Riku Arakawa</string-name>
          <email>riku.arakawa1996@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yang Zhang</string-name>
          <email>yang.zhang@cs.cmu.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>The University of Tokyo</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of California</institution>
          ,
          <addr-line>Los Angeles</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>17</volume>
      <issue>2021</issue>
      <abstract>
        <p>Millimeter-Wave (mm-wave) sensing provides an increasingly viable sensing solution for smart environments for its compact and solid-state form factor, non-intrusiveness, and low cost. While prior work in this domain has mostly focused on sensing humans - e.g., location, motion, and posture, we propose a new approach that leverage mm-wave sensing to enable tangible ubiquitous controllers such as buttons and switches. By encoding the controller state with the Radar Cross Section (RCS) of origami structures, our componentfree controllers cost less than 40 cents per unit and require virtually zero maintenance efort, while achieving long-range wireless sensing with suficient accuracies.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>mm-wave sensor
order controller kit
fold origami
calibrate controllers
use controllers</p>
    </sec>
    <sec id="sec-2">
      <title>CCS CONCEPTS</title>
      <p>• Human-centered computing → Ubiquitous and mobile
computing systems and tools.
Copyright 2021 for this paper by its authors. Use permitted under Creative Commons
License Attribution 4.0 International (CC BY 4.0).
1</p>
    </sec>
    <sec id="sec-3">
      <title>INTRODUCTION</title>
      <p>Millimeter-Wave (mm-wave) sensing poses an inviting opportunity
for ubiquitous sensing for being low-cost, compact, and
privacysensitive – key properties that make commercial integrations
possible. Recent years have seen an increasing trend of mm-wave sensing
techniques featured on consumer products such as smartwatches,
phones, autonomous vehicles, as well as home devices such as
occupancy sensors, smart lightbulbs, and thermometers. In these
systems, mm-wave sensors emit structured RF waves into user
environments and decode the reflectance signals to infer user
information such as presence, proximity, hand gestures, body postures,
and beyond.</p>
      <p>
        Meanwhile, conventional sensing techniques for ubiquitous
interactivity have several constraints that have prevented smart
environments from being widely adopted across society. Existing
controllers such as switches and buttons are often wired,
eliminating flexible deployments. Though, it is possible to enable
flexible deployments with batteries and wireless transceivers, these
components inevitably increase the maintenance and monetary
costs. In response, prior work proposed interactive sensing
techniques around computer vision [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ], capacitive sensing [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ], and RF
backscatter [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. Researchers have also leveraged user interactions
as sources of power to eliminate the need for batteries [
        <xref ref-type="bibr" rid="ref24 ref3">3, 24</xref>
        ].
      </p>
      <p>In this work, we leverage the increasingly popular mm-wave
sensing technique to build wireless interactive controllers that are
designed around origami-inspired structures. While most prior
work on mm-wave sensing focused on sensing direct signals from
users, our system senses objects – controllers that encode user
interactions into their radar cross section (RCS), which we can
detect to infer user interactions wirelessly at a room-scale.
Moreover, our controllers consist of only common everyday materials
(e.g., cardboard papers, aluminum foil), which are low-cost and
component-free, enabling users to deploy them across their
environments with negligible cost or maintenance efort.</p>
      <p>Specifically, we designed a series of origami-inspired controllers
to implement conventional controls, including ones with discrete
states such as buttons and switches, as well as ones with continuous
states such as knobs and sliders. We built a signal processing and
detection pipeline around a Frequency-Modulated Continuous Wave
(FMCW) radar and conducted a series of evaluations to demonstrate
our system’s feasibility. Overall, we believe our system proposes a
promising approach to achieving ubiquitous interactivity.
2</p>
    </sec>
    <sec id="sec-4">
      <title>INSPIRATIONS</title>
      <p>
        This work took much inspiration from prior literature, including
recent efort in HCI that leveraged paper as interaction medium,
where researchers empowered paper with sensing [
        <xref ref-type="bibr" rid="ref14 ref30">14, 30</xref>
        ] and
power generation [
        <xref ref-type="bibr" rid="ref11 ref2">2, 11</xref>
        ]. We were also inspired by a vast amount
of online resources on origami structures in the design of our
controllers. Finally, our project chose to follow the same low-cost and
do-it-yourself spirit as Nintendo Labo [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], a phenomenal
interaction design concept for console games. For these reasons, we
chose paper, one of the most accessible and tangible materials to
build our controllers. We envision a future where these paper-based
controllers can be easily accessed and assembled by average
homeowners to facilitate smart environment interactivity (Figure 1).
3
      </p>
    </sec>
    <sec id="sec-5">
      <title>RELATED WORK</title>
      <p>To situate our work, we first review previous approaches proposed
for room-scale interactions. We also review how RF sensing has
been utilized to power interactions in HCI.
3.1</p>
    </sec>
    <sec id="sec-6">
      <title>Room-Scale Interactions</title>
      <p>
        Many previous works have aimed to achieve room-scale
interactivity by deploying ubiquitous sensing modules based on various
principles. Vision-based sensing approaches have been widely
proposed [
        <xref ref-type="bibr" rid="ref13 ref27">13, 27</xref>
        ]. For example, WorldKit [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] is a system that uses
a depth camera and a projector to make ordinary surfaces (e.g.,
walls) interactive. SurfaceSight [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] is a LiDAR-based sensing
system that enriches IoT experiences by enabling sensing context on
table surfaces. On the other hand, sensing approaches without
relying on vision sensors have also been investigated. Wall++ [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]
is a capacitive sensing approach for allowing walls to become a
smart infrastructure that senses users’ touch and gestures.
Moreover, lasers have been utilized for sensing room-scale interactions
from a distance [
        <xref ref-type="bibr" rid="ref19 ref31">19, 31</xref>
        ].
      </p>
      <p>
        Meanwhile, there are also wireless sensors which allow
flexible installation and portable use (e.g., TV remotes). Still, these
controllers are often battery-powered, which requires user
maintenance (e.g., battery replacement). In response, there have been
developed battery-free wireless controllers. For example, The
Peppermill [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] utilizes human operation as a source of power, and
PaperID [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] uses RF backscatter to sense how a user is
manipulating RFID-instrumented paper. In addition, Iyer et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] embedded
backscatter structures into 3d-printed objects to make wireless
sensors such as buttons, knobs, and sliders. Finally, there have been
several commercial products such as QIACHIP switches [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] and
EnOcean switches [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>In this paper, we propose an approach for achieving battery-free
wireless controllers that consist of only ultra-low-cost everyday
materials in origami forms, working in conjunction with mm-wave
sensing. The proposed approach enables users to deploy controllers
with negligible cost and efort to maintain. Furthermore, in the
future, we expect our work to facilitate users making and replicating
these paper-based controllers easily on their own, enabling DIY
smart environment experience.
3.2</p>
    </sec>
    <sec id="sec-7">
      <title>RF Sensing in HCI</title>
      <p>
        On the technology front, our approach is closely related to systems
that leverage RF sensing. RF sensing has been actively integrated
into applications in our lives. One of its representative uses is
in autonomous vehicles where mm-wave radar is used primarily
for detecting objects around the vehicle (e.g., other vehicles and
pedestrians) [
        <xref ref-type="bibr" rid="ref26 ref35 ref8">8, 26, 35</xref>
        ]. Recently, Prabhakara et al. [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] showed
that a wireless approach to sensing tire wearing is also possible by
using mm-wave.
      </p>
      <p>
        Closer to our work are prior systems that focus on interactivity
in HCI. For example, Soli [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] is a ubiquitous gesture sensing
technology based on FMCW mm-wave sensing, which allows precise
ifnger tracking at close range [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]. The same mm-wave sensing
has also been applied for classifying proximate material and object
[
        <xref ref-type="bibr" rid="ref28 ref29">28, 29</xref>
        ]. Moreover, similar FMCW-based sensing using RF signals
are proposed for capturing human pose and motion even when they
are occluded from the device or in a diferent room [
        <xref ref-type="bibr" rid="ref1 ref33 ref34">1, 33, 34</xref>
        ]. These
approaches have been expanded to be capable of identifying users
by analyzing the signal reflections and been utilized for collecting
behavioral data in homes [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        Ultra-wideband (UWB) radar has been another common RF
sensing technique used for various purposes such as localizing
surrounding IoT devices and enhancing interactions with them [
        <xref ref-type="bibr" rid="ref10 ref7">7, 10</xref>
        ].
MechanoBeat [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] is a low-cost mechanical tag that can work with
UWB radar arrays for unobtrusively monitoring user interactions.
Additionally, the RF Doppler efect can also be utilized for detecting
movements of targets. For example, Goel et al. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] leveraged the
efect to detect facial gestures by monitoring user’s tongue, cheeks,
and jaw movements.
      </p>
      <p>As shown in these works, while most previous works have been
focusing on sensing direct signals from users, we aim to sense the
states of objects as controllers that encode user interaction. In detail,
we propose an approach to utilizing origami-inspired structures as
ultra-low-cost reflectors that can change their shapes upon user
interaction. We expect that this shape change can result in unique
RCS values which can be sensed remotely with a mm-wave radar.
In Section 5, we explain how our origami-based controllers were
designed.
4</p>
    </sec>
    <sec id="sec-8">
      <title>SENSING HARDWARE</title>
      <p>We used the Infineon Position2Go 2, a 24GHz radar sensor
development kit utilizing BGT24MTR12 RF transceiver and XMC4700
32-bit ARM® Cortex®-M4 MCU series, which costs approximately
$300. The sensor has one transmitter (Tx) and two receivers (Rxs)
2https://www.infineon.com/cms/en/product/evaluation-boards/demo-position2go/
and its board size is 50 mm × 45 mm. The horizontal and vertical
ifeld of view are 76 ° and 19°, and the minimum and maximum
distance for sensing are 1 m and 25 m. The sensor streams raw data
to a PC via USB, with 2.5 W power consumption. We utilized the
oficially provided Matlab APIs to receive the streamed data and
developed our detection algorithm, which will be described later
in Section 7. Note in the equation below that the received power
( ), which is calculated through FFT computation on raw radar
measurements, is linearly proportional to RCS of a target object ()
at a fixed distance to the radar ( ), with a constant scale factor of
transmitted power level ( ), transmitter gain ( ), receiver gain
( ), and signal wavelength ():
 =
 2</p>
      <p>(4 )24</p>
      <p>As a result, we treated the received power as an indicator of RCS
in the rest of this paper.
5</p>
    </sec>
    <sec id="sec-9">
      <title>REFLECTOR DESIGN</title>
      <p>
        Our design rationale is to create shape-changing reflector
structures that can 1) be actuated by force at a single point, and 2) result
in distinctive RCS at diferent shapes. To explore potential origami
models suitable for our purpose, we first looked into a variety of
existing works available on the Internet. We anticipated that
structures consisting of mutually perpendicular surfaces would have
high RCS values. This is inspired by the fact that corner reflectors,
which have three mutually perpendicular intersecting flat surfaces,
reflect waves directly towards the source, resulting in high RCS
values [
        <xref ref-type="bibr" rid="ref12 ref22">12, 22</xref>
        ].
      </p>
      <p>
        We found four designs that could be used for our controllers.
In general, all form-changing origami designs change their RCS
when morphing. However, as we anticipated, the four selected
origami designs feature mutually perpendicular surfaces, which
get distorted during the folding and unfolding process, resulting in
significant RCS changes. For example, we incorporated Miura-fold
[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] into one controller that forms such perpendicular surfaces
when its structure is gradually expanded. Herein, we show the
current controller designs: Button, Toggle Switch, Knob, and Slider
(see Figure 2 and Figure 3). We used conventional silver origami,
paper with aluminum films coated on the surface, to further improve
the RF reflectance of surfaces. Our total material cost is less than
40 cents per controller unit.
      </p>
      <p>• Button (umbrella-fold): This controller works as a
push-andpull button and has discrete states (i.e., on and of). It consists
of an umbrella-fold and a 3d-printed handle attached to the
origami. The umbrella part opens when the handle is pushed
and closes when it is pulled.
• Toggle Switch (corner reflector): This controller works as a
toggle switch and has discrete states (i.e., on and of). It is a
corner reflector structure made of cardboard papers coated
with silver origami. The three surfaces get mutually
perpendicular in the on state. This structure is disrupted when
the switch is turned of. Users interact with the attached
3d-printed handle to switch between the two states.</p>
      <p>We measured RCS changes of each controller when they
morphed. To do this, we first recorded signals without a controller as
a base signal. Then, we placed a controller perpendicularly, 1 m
away from the sensor. We recorded the signals with a controller
in each state and calculated the ratio of their amplitude to that of
the base signal, measured in dB. Overall, We found significant RCS
changes between diferent states of the controllers. We elaborate an
algorithm as to how these values are utilized for detection later in
Section 7 and document the evaluation of our system in Section 8.
6</p>
    </sec>
    <sec id="sec-10">
      <title>USER INTERACTION</title>
      <p>Before explaining the sensing algorithm, we describe our envisioned
future scenario of how users will set up and use our proposed
origami controllers (Figure 1). First, a user purchases controller tool
kits of interest from a distributor. These tool kits allow the user to
easily make controllers from pieces on their own. Then, the user
opens a dedicated smartphone or smart speaker app to initiate the
setup. The app will prompt the user to identify mm-wave sensors
in their room and origami controllers within the sensing range,
and start the calibration process. For calibration, he user collects
a small amount of sample data corresponding to each state of the
controller, and the our system is ready to use.
7</p>
    </sec>
    <sec id="sec-11">
      <title>SENSING ALGORITHM</title>
      <p>
        Our detection approach is based on FMCW sensing [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]. At each
frame, the Tx transmits ℎ chirps and there are 
samples in each chirp, resulting in a reflected signal matrix:  ∈
C ×ℎ . When we apply fast Fourier transform (FFT) with
the size of    , we get    ∈ C   ×ℎ =   ( ). Then,
the largest value in each row (i.e., over ℎ chirps) was taken
out after calculating the amplitude, resulting in a frame vector
 ∈ R   ×1 = max |   |. Each of the values in the    bins
corresponds to the power of the reflected signal within specific
ranges from the sensor. The range resolution is given by 2 , where
 is the light speed and  represents the used bandwidth.
      </p>
      <p>Our current implementation ignores frames that contain
nonnegligible human body movements that interfere with our RCS
sensing. To do this, we applied a simple threshold-based algorithm.
In detail, we calculated the diference of two consecutive frames,
say  and +1, and classified the frame +1 as containing human
body movements if the norm of the diference (i.e., |+1 −  |) is
larger than a predefined threshold. Note that the current detection
algorithm requires users to exit the controller proximity after
interaction. This means our system only works in an asynchronous
manner, where there could be a lag between user interaction and
its detection.</p>
      <p>Once a frame is detected as not containing human body
movements, the frame is processed for detecting the controller’s state.
Here, we assume that the system knows the bins of the feature
vector  that correspond to the controller position in terms of its
distance from the sensor. This information is provided during the
user calibration process. By extracting the values in these bins of
 , we can focus on the data relevant to the controller’s state. Thus,
we denote the values in these bins as a sub-vector  and use it for
the subsequent processing.</p>
      <p>For detecting discrete states of the controllers, users first collect
data for on and of states of the controllers in the calibration, as we
described in Section 6. Then, we calculated the mean values of data
collected from these two states as the thresholds to classify new
frames of data after calibration.</p>
      <p>Similarly, for detecting continuous states of the controllers, users
provide sample data in the calibration for some of the data points in
the detection range. We trained regression models (i.e., linear) with
the data collected during the user calibration process. Note that we
found the RCS change as the controllers morph to be monotonous</p>
    </sec>
    <sec id="sec-12">
      <title>8 PILOT TEST</title>
      <p>We examined the accuracy of the proposed algorithm. In this pilot
test, we set the sensor parameters as followings: ℎ = 4 chirps
per frame,  = 256 samples per chirp,    = 256, and
 = 200 MHz bandwidth. We averaged the measurements across
the two Rxs for calculating  and  in this pilot test. We conducted
the test in an open indoor space of approximately 10 2.</p>
    </sec>
    <sec id="sec-13">
      <title>8.1 Discrete Detection</title>
      <p>We first tested the accuracy of detecting discrete states of the
controllers – button and toggle switch.
8.1.1 Seting. We examined the sensing accuracy in a variety of
settings in terms of the controllers’ distance from the sensor, azimuth
angle, and angle of incidence. Figure 4 (left) shows the locations
we tested and Figure 4 (right) illustrates the angles of incidence
we tested. For each controller, we first placed it in the mm-wave
RF beam direction with 1 m interval up to 5 m. Then, we fixed the
distance to 3 m and changed the azimuth angle with 15 degrees
interval up to 45 degrees. Lastly, we fixed the distance to 3 m and
the azimuth angle to 0 degrees, and changed the angle of incidence
with 15 degrees interval up to 45 degrees.</p>
      <p>For each placement pattern, we first placed our controller and
conducted calibration, as described in Section 7. After the
calibration, we changed the state of the controller to be on and of
repeatedly, five times each, while we recording the output of the
algorithm each time.
8.1.2 Result. Figure 5 shows the accuracy, each corresponding
to when we changed distance (top), azimuth angle (center), and
angle of incidence (bottom). The toggle switch showed a stable
detection accuracy over the conditions. On the other hand, the
accuracy for detecting the button’s state gradually decreased as
it was placed far from the sensor or its perpendicularity lost (i.e.,
as we changed the azimuth angle or angle of incidence). Overall,
the high detection accuracy confirmed the validity of using our
origami-based reflectors as discrete controllers.
8.2</p>
    </sec>
    <sec id="sec-14">
      <title>Continuous Detection</title>
      <p>Next, we tested the performance of detecting continuous states of
the controllers – knob and slider.
8.2.1 Seting. We first recorded signals without a controller placed
in the environment and obtained  . Then, we placed a controller
1 m away from the sensor board perpendicularly so that both the
azimuth angle and angle of incidence were 0°. We then changed the
expansion level of the controller from 0% to 100% with 25% interval,
while we recording the corresponding signals . We calculated
and plotted the ratio of the amplitude of  to  in dB. We also
trained a linear regression model and calculated the mean absolute
percentage error (MAPE).
8.2.2 Result. Figure 6 shows the measured ratio of the amplitude
of  to  in each of the controller’s expansion level. As expected,
the values gradually increased as the controllers were expanded.
The MAPE for each of the controllers are 33.2% (knob) and 28.6%
(slider), respectively. The results clearly showed the correlation
between the expansion level and RCS, with which our regression
models can be easily trained for using origami-based reflectors as
continuous controllers. However, our proof-of-concept regressor
implementation did not yield high accuracies due to large deviations
when controllers were expanded to certain levels (e.g., 75%). We
suspect this issue was caused by fabrication defects, which we plan
to further investigate and make improvements in our future work.
9</p>
    </sec>
    <sec id="sec-15">
      <title>EXAMPLE APPLICATIONS</title>
      <p>As we discussed in Section 1, our low-cost controllers can be a
promising approach for ubiquitous interactivity. For example,
average homeowners can easily deploy the controllers into their
environments and connect them with various IoT applications, such
as light, music player, TV, air conditioner, etc. Moreover, the
controllers can be installed in public places such as museums, hospitals,
restaurants, and buses, replacing exiting controllers that are mostly
wired and powered. Overall, we believe the advantages of our
approach being ultra-low-cost, wireless, and battery-free facilitate</p>
    </sec>
    <sec id="sec-16">
      <title>DISCUSSION AND FUTURE WORK</title>
      <p>There are some directions to further refine our approach. First,
the accuracy and robustness can be improved by adopting better
fabrication process. For example, adding linings on top of basic
origami structures could yield more programmable shape changing
of the continuous controllers. We could also add protective coatings
to mitigate degradation of origami structures over time.</p>
      <p>Secondly, we will expand the origami design set. In this
paper, we demonstrated four designs, but considering the abundant
lfected signal to that of the base signal when controllers
were expanded from 0% to 100% with 25% interval (top: knob,
bottom: slider). Blue lines represent the fitted linear
regression model while orange dots correspond to the measured
data points.
origami structures found, we believe there are many other
possible designs. We would like to run simulations to estimate RCS
changes of origami structures for comprehensive exploration and
optimization.</p>
      <p>Third, for achieving the ubiquitous interactivity through our
controllers, it is demanded to enable the system to detect spatial
information of controllers. We would like to utilize beamforming
and Angle of Arrival estimation with radars that have multiple
transmitter and receiver antennas to increase spatial resolution.
This improvement on spatial resolution will allow a user to deploy
multiple controllers in the environment. Additionally, improved
spatial resolution will help locate users more precisely, which could
mitigate the current limitation that the users must be out of the
controller proximity for detection.</p>
      <p>Lastly, current controllers are relatively large in comparison
to conventional ones. In future work, we will miniaturize the
controllers with better fabrication techniques based on human-machine
ergonomics. Specifically, we will apply automated fabrication
techniques such as laser cutting combined with vacuum forming, which
will enable us to develop more complicated origami structures. At
the same time, we would like to further investigate the
interaction space where users can easily assemble controllers from basic
material primitives, as we discussed in Section 2 and Section 6.
11</p>
    </sec>
    <sec id="sec-17">
      <title>CONCLUSION</title>
      <p>In this paper, we proposed a novel approach to achieving
ubiquitous interactivity: ultra-low-cost (less than 40 cents), wireless,
battery-free controllers made of origami in concert with mm-wave
sensing. We demonstrated four controller designs (i.e., button,
toggle switch, knob, and slider). These controllers change their RCS
significantly upon user interaction, which can be detected remotely
by mm-wave sensing (e.g., FMCW). Our pilot test demonstrated
the feasibility of the proposed approach. We believe that our work
demonstrates a novel technique for ubiquitous interactivity, and
will greatly facilitate users’ DIY of future smart environments.</p>
    </sec>
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