INV ITED
P A P E R
RF Sensor Networks for
Device-Free Localization:
Measurements, Models,
and Algorithms
This paper considers situations where a person or an object can be
examinedVeven in buildings and through wallsVbecause a wireless
network uses RF signals as a probe.
By Neal Patwari and Joey Wilson
ABSTRACT | In this paper, we discuss the emerging applica-
tion of device-free localization (DFL) using wireless sensor
networks, which find people and objects in the environment in
which the network is deployed, even in buildings and through
walls. These networks are termed ‘‘RF sensor networks’’
because the wireless network itself is the sensor, using radio-
frequency (RF) signals to probe the deployment area. DFL in
cluttered multipath environments has been shown to be
feasible, and in fact benefits from rich multipath channels. We
describe modalities of measurements made by RF sensors, the
statistical models which relate a person’s position to channel
measurements, and describe research progress in this area.
KEYWORDS | Fading; multistatic radar; radiowave propagation;
sensor systems and applications; signal processing; wireless
sensor networks
I . INTRODUCTION
Wireless networks are ubiquitous. Wherever we are, we
are interacting with radio-frequency (RF) electromagnetic
(EM) waves. In this paper, we review efforts to use the
changes caused by people’s interaction with the RF EM
wave field to infer their position. We call the static wireless
devices used for this purpose ‘‘RF sensors,’’ because they
are used to measure the signal on each link between
devices. Such a network we call an RF sensor network, as
opposed to the term ‘‘wireless sensor network,’’ which
refers to a general-purpose network of sensors. This area of
research is also called ‘‘device-free’’ localization (DFL) [1]
to emphasize that a person1 does not need to be carrying a
wireless device to be detected and located, or ‘‘sensorless
sensing’’ because sensor network researchers typically do
not consider the radio to be a sensor [2]. With or without a
radio transmitter (TX) or receiver (RX) on them, a
person’s presence at a location affects the radio waves
nearby. This area is related to radar, including ultrawide-
band (UWB) and multiple-input–multiple-output (MIMO)
radar systems, but is not limited to these frameworks.
There is an advantage to sensing RF energy as opposed
to light, infrared, or thermal energy when attempting to
infer people’s movements. Visible light cameras largely
depend on daylight; light and infrared do not penetrate
smoke. RF waves can penetrate nonmetal walls and smoke
[3], unlike light, thermal, or millimeter-wave energy. Thus,
RF-based DFL is a complementary security technology
which does not require floodlights to work at night, and can
locate people in a smoke-filled building, or from the
exterior of the building. Other radio-based localization
technologies exist, sometimes labeled as real-time location
Manuscript received December 7, 2009; revised March 26, 2010; accepted
May 23, 2010. Date of publication July 26, 2010; date of current version October 20,
2010. This work was supported by the National Science Foundation under Grant
#0748206.
The authors are with the Department of Electrical and Computer Engineering,
University of Utah, Salt Lake City, UT 84112 USA (e-mail: npatwari@ece.utah.edu;
joey@xandem.com).
Digital Object Identifier: 10.1109/JPROC.2010.2052010
1In this paper, we use ‘‘person’’ to refer generically either to a person
or a mobile object.
Vol. 98, No. 11, November 2010 | Proceedings of the IEEE 19610018-9219/$26.00 �2010 IEEE
systems (RTLSs), which require each person or object to be
attached to a radio transmitter tag, which is then located
based on the signals received from that tag at multiple other
sensors [4]. However, in security or emergency applica-
tions, one cannot expect all people of interest to be wearing
a radio tag.
With these advantages, DFL has several applications.
DFL technologies may complement existing localization
systems which use tags to locate and identify people by
combining RF sensor measurements from two sources:
1) from signals received from the transmitter tag, and
2) measurements between the static RF sensors. As such,
DFL may improve existing RTLSs. As another example,
DFL techniques may be useful for police or emergency
responders approaching a dangerous building. Prior to
entering, they may wish to deploy an RF sensor network
around the building, either independently from, or in
concert with, an existing wireless network in the building.
Then, they can use DFL techniques to locate and track
people moving within the building. As another example, RF
sensor networks may be deployed within large buildings
and facilities, as an alternative to more invasive video
camera networks, in order to ensure compliance with safety
and security rules. These networks may work in concert
with context-aware computing and control systems to
prevent accidents, and protect confidential information.
An RF sensor network effectively measures many
sections of the environment because many links between
pairs of radios exist in an area, and each link measures a
different section of space. Thus, the word tomography,
defined as imaging by sections, applies to estimation in RF
sensor networks. However, RF radio wave propagation is
not solely by line-of-sight (LOS) propagation [5]. In fact,
we typically expect the power in non-line-of-sight (NLOS)
paths to dominate, except in unobstructed short-range
links [6]. Thus, computed tomography (CT) techniques
developed for X-ray scanners, which assume that each
measurement is along a straight line through the medium
[7], do not directly applyVwe cannot simply scale up the
size of an area, scale down the frequency of emission, and
achieve proportional results.
Yet, as we describe in this paper, a significant quantity
of research has shown results that locate people in build-
ings using RF sensor measurements [1], [2], [8]–[17].
Results have been presented which count the number of
people moving [9], estimate a person’s location [13], [14],
[17], [18], and image the movements in an area of interest
[11]–[13], [15], all in real-world multipath environments.
Both location estimation (estimating a person’s coordinate
at one time) and tracking (estimating a person’s velocity
and sequence of positions over a duration of time) have
been reported, with accuracy of less than 1 m of average
error [8], [13], [14] or less than 2 m median error over a
1500-m2 area [17]; these results are at least as good as
reported location error when locating radio tagged objects
[4], [19], so the accuracy is surprising.
How are these systems able to counteract the effects of
multipath in an effort to track movement? The answer to
this question is that successful DFL systems have been
designed to take advantage of the effects of multipath
propagation, rather than try to counteract them. Multipath
fading becomes the signal, not the noise. We show in this
review paper how multipath fading is used for the benefit
of DFL systems. We present the results of the growing
literature for DFL in three parts, first discussing the RF
sensor measurement modalities in Section II, then pre-
senting models for the measurements in Section III, and
then presenting the algorithms and results in Section IV.
Finally, we conclude in Section VI.
II . MEASUREMENTS
DFL employs networks which measure properties of the
radio channel between many pairs of RF sensors. Changes
in channel properties provide information about the
position of objects in the environment. What types of radio
channel measurements are most appropriate for DFL? In this
section, we introduce several modalities of measurements
of radio channel characteristics which can be used to infer
the location of people and objects in a building. We discuss
the advantages and disadvantages of these modalities.
A. Ultrawideband
First, we discuss the use of UWB measurements for
purposes of DFL. UWB receivers measure the amplitudes,
time delays, and phases of the multipath signals which
exist in the radio channel. Measured at multiple probing
times t, UWB measurements and the changes between
them can be used to infer both the properties of the static
propagation environment, and the changes in the envi-
ronment which might indicate a moving person or object.
UWB transceivers are certainly more cost-prohibitive than
narrowband transceivers, but the ability to distinguish
time delay is a key benefit.
Transmitting and receiving a UWB pulse (or for that
matter, high bandwidth signal) allows one to measure the
channel impulse response (CIR). Assume at time t, NðtÞ
multipath components arrive at the RX, with the ith
component having complex amplitude gain of �iðtÞ and
time delay �iðtÞ. As a complex value, �iðtÞ can be written as
j�iðtÞj exp½jff�iðtÞ�. The CIR is [5]
hðt; �Þ ¼
XNðtÞ
i¼1
�iðtÞ� � � �iðtÞð Þ (1)
where �ð�Þ is the Dirac impulse function.
The knowledge of time delay provides important
information about position. Comparing the delay �iðtÞ to
the LOS time delay (assuming it is known) indicates the
excess delay, which gives some knowledge of the spatial
Patwari and Wilson: RF Sensor Networks for Device-Free Localization: Measurements, Models, and Algorithms
1962 Proceedings of the IEEE | Vol. 98, No. 11, November 2010
incidence of the ith multipath. For example, if the path was
assumed to result from a single ‘‘bounce,’’ i.e., change in
direction, then that object that caused the bounce is
located somewhere on an ellipse of a certain size, with the
TX and RX as foci [20]. When time delay is measured on
multiple links, the intersection between ellipses is an
estimate of the object location.
B. Narrowband
Next, we discuss narrowband channel measurements
for purposes of DFL. Narrowband receivers cannot provide
information about individual multipath, only the signal
magnitude and phase as a whole. However, narrowband
transceivers are produced in high quantity for commercial
applications, thus their low cost is a key part of enabling
large-scale RF sensor networks.
Narrowband wireless devices simply measure the sum
of the contributions of all multipath. We consider a
continuous-wave (CW) signal, which results in a received
complex baseband voltage ~V of
~V ¼ VT
XNðtÞ
i¼1
�iðtÞ ¼
XNðtÞ
i¼1
ViðtÞ (2)
where VT is the complex baseband voltage at the TX, and
ViðtÞ ¼ VT�iðtÞ is the complex baseband voltage of com-
ponent i at the RX [5].
There is information about position contained in ~V.
First, the information in the magnitude of ~V will be
discussed below. Second, ~V, when compared to the ~V
measured at other RX locations or at multiple antennas,
provides information about the azimuth or elevation
angles-of-arrival of the multipath signals [21], and can be
used in multiple wave field reconstruction techniques as
discussed in Section IV-B.
Typical distributed wireless sensors have difficulty
with accurate timing synchronization [22], and for
coherent phase measurements, phase synchronization is
required. Phase synchronization means that the carrier
used by two different transceivers must have the same
phase. Since the carrier phase changes from 0 to 2� each
carrier cycle, timing synchronization errors must be much
less than 1=fc, where fc is the carrier frequency. For
example, at 900 MHz, timing errors must be much smaller
than 1 ns. A future challenge in DFL is to either provide
practical means for phase-coherent measurements of ~V at
disparate sensors, such as interferometric methods [23], or
to achieve some of the benefits of phase-coherent
measurements using noncoherent measurements.
C. Received Signal Strength (RSS)
In this section, we consider measurements of RSS for
purposes of DFL. Compared to the narrowband measure-
ments presented above, RSS is a magnitude-only measure-
ment. Measurements of RSS are ubiquitous in nearly
all wireless devices. The received power is the squared
magnitude of the complex baseband voltage ~V. What we
typically call the RSS is a measurement of the received
power in decibel terms. For a narrowband receiver, this
power is
RdB ¼ 20 log10 j~Vj ¼ PT þ 20 log10
XNðtÞ
i¼1
�iðtÞ
�����
����� (3)
where PT ¼ 20 log10 jVTj.
One source of information in RdB is its magnitude. For
links with a strong LOS component, when that strong
component is blocked, RdB tends to decrease. This is called
shadowing, and a sharp decrease in RdB can be used to infer
that a person or object is located along the LOS path [11].
Further, multipath fading is a source of location
information. Depending on the phases of each ViðtÞ, the
sum in (2) may be destructive (with opposite phases) or
constructive (with similar phases). Measurements of fading
are one source of information about the location or number
of moving people in the environment, as discussed in
Section IV. Fading can be quantified, for example, with the
variance of RdB [9], [13], by the absolute value of
differences [8], [24], or even the link quality indicator
(LQI) [9].
The variance of RdB has been shown to be approxi-
mately linearly related to the total power in multipath
components affected by the movement in the environ-
ment [25]. We will discuss what is meant by ‘‘affected’’
and provide models for the effect in Section III-D.
Although individual RSS measurements are less
informative about person location than UWB measure-
ments, for example, the low cost of RSS-only narrowband
radios will allow more nodes for a given price. Since
measurements are made between pairs of RF sensors, the
number of measurements increases as OðN2Þ, and the
overall capability of the RF sensor network can be very
significant.
D. Polarization
Finally, we consider the DFL information contained in
the polarization of the EM wave at the RX. The polar-
ization is useful to detect movement in the environment
[26]. The polarization of an EM wave at the RX will change
due to environmental changes just as the phase of the
signal will change. Using two orthogonally polarized
antennas, an RX can measure both relative amplitudes
and the phase between the two signals. Just like in (2),
each polarized received signal has multipath component
amplitudes and phases. These two measurements deter-
mine a point on a Poincare´ sphere. The ‘‘differential
polarization’’ can be determined by finding the angular
Patwari and Wilson: RF Sensor Networks for Device-Free Localization: Measurements, Models, and Algorithms
Vol. 98, No. 11, November 2010 | Proceedings of the IEEE 1963
change from an original polarization state to the current
state. This differential can be calculated either with a time
average, or a frequency-domain subband average. The
latter is shown in [26] to provide a higher signal-to-noise
ratio for detection of human-caused changes.
III . MODELS
All of the measurements described in Section II map
changes in multipath components in order to locate and
count the number of moving people (or objects) in the
environment. Consider a person located at coordinate xo,
and a link with TX location xt and RX location xr, as
depicted in Figs. 1 and 2. In this section, we consider
models for the relationship between changes caused to the
multipath components by the person, and coordinate of
the person xo. Certainly, if changes are not a function of
xo, we have no ability to locate the person. It is thus critical
to have models to describe the changes in measurements as
a function of position xo.
There are generally two views on the formulation of
this position dependence.
1) Relative position dependence: The channel param-
eters are only a function of the relative position of
xo to TX and RX positions xt and xr. For example,
the parameters may only be a function of the dis-
tances kxo � xtk and kxo � xrk. These assump-
tions are used in the algorithms presented in
Sections IV-B–H.
2) Absolute position dependence: The channel param-
eter dependence cannot be simplified using the
relative positions of xo, xt, and xr [1], [10],
[17], [18].
In the latter case, the dependence of the measurement
on xo must be determined for every link (and thus xt and
xr), and for the entire range of xo, for each environment.
Channel measurements are very sensitive to the place-
ment and EM properties of all objects in the environ-
ment, and these positions and properties are highly likely
to be unknown. Thus, measurements are required, at a
high density of positions xo. For multiple people, the
channel will have to be measured for all combinations of
human locations. Algorithms which have this perspective
are called fingerprint-based DFL, and are discussed in
Section IV-A.
From the relative position dependence perspective, a
statistical model describes the relationship between the
channel changes experienced on a given link and xo,
relative to xt and xr. If knowledge about environmental
objects is available (e.g., wall locations) their relative
positions with respect to (w.r.t.) xt and xr can also be used
in the propagation model [27]. While not every link will
experience the same changes given identical relative
position information, if measured for many links, the
distribution of changes should be characterized by the
model. Such a statistical model could be generated from
theory, or from many sets of measurements.
We do not suppose that a statistical model is accurate
for all environments. True EM simulation or ray tracing
might be used if the properties, size, and position of
objects in the environment were known. Or, perhaps these
parameters can be considered ‘‘clutter’’ and measured so
that a scatterer’s position can be determined regardless
[28], [29]. Statistical models are required when the
complexity of typical static environments cannot be
accurately determined. Algorithms which do not make
multipath propagation assumptions are discussed further
in Section IV-B.
To formulate multipath channel models which provide
position dependence, we primarily need to consider their
spatial impact, rather than time delay and amplitude [25].We
denote SiðtÞ as the spatial filter of path i at time t. Generally,
we model SiðtÞ as series of connected line segments, rep-
resenting a plane wave changing direction at discrete points.
Finally, to simplify the language, we simply refer to all objects
which interact with a wave via transmission, diffraction,
reflection, or scattering, as ‘‘scatterers,’’ regardless of the
actual propagation mechanism.
A. Related Research
Fading models for static links dependent on the position
of moving people are less prevalent than those for frequency-
dependent fading or for space-dependent (small-scale) fading
models. However, the reported literature has observations
relevant to DFL, which we relate in this section.
Fig. 1. (a) Example multipath components between TX at xt and
RX at xr . (b) When a person appears at xo, there are additional
paths ð����Þ and alterations to existing multipath ð� � �Þ.
Fig. 2. TX, RX, plane containing scatterers, and the new person.
Patwari and Wilson: RF Sensor Networks for Device-Free Localization: Measurements, Models, and Algorithms
1964 Proceedings of the IEEE | Vol. 98, No. 11, November 2010
In past studies, fading due to human motion was quan-
tified to aid in the design of static communications systems
which operate among moving people, e.g., indoor wireless
local area networks (WLANs) [30]–[33]. For indoor
communications links, fading on a static link typically
follows a Ricean mixture distribution, with a high variance
when people are moving in and around the area of the link,
and a low variance when they are not [30]. The Ricean
K-factor depends on the power in ‘‘stationary’’ paths versus
power in ‘‘time-
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