IEEE Signal Processing - May 2018 - 73

be corrupted by the sampling frequency offset and the symbol timing offset. Hence, before background calculation
and compensation, the phase of each CSI measurement
must be aligned. After alignment, based on the assumption
that the human radio biometrics contribute to only small
changes in the multipath, the background can be obtained
by taking the average of several CSI measurements.
■ TR-based identification: Once the complex-valued human
radio biometrics information is refined, this component simplifies the identification problem by reducing the highdimensional, complex-valued feature to a real-valued scalar.
By leveraging the TR technique, the human radio biometrics are mapped onto the TR space, and the TRRS quantifies the differences between different radio biometrics.
Mathematically, the frequency-domain CSI, i.e., the CFR,
for the mth link with the presence of human i can be decoupled
into a common CSI component and the human radio biometric component:
(m)

(m)

(m)

h F, i = h F, 0 + dh F, i , i = 1, 2, f, N,
(m)

(m)

In the CSI model in (14), the radio biometrics dh F, i also consist of two parts: the common radio biometric information and
(m)
the distinct radio biometric information. Thus, h i can be further decomposed as
(m)

(m)

(m)

(m)

h F, i = h F, 0 + dh F, i, ic + dh F, N, c, 6i, m,

(15)

(m)

where dh F, N, c represents the common radio biometric information determined by all of the N participants in the identifi(m)
cation system and dh F, i, ic is the individual distinct radio
biometric information.
(m)
To extract the distinct radio biometrics dh F, i, ic, we must first
(m)
(m)
estimate the background information in the CSI h F, 0 + dh F, N, c .
Then, we can extract the distinct human radio biometrics for
(m)
each individual on link m, i.e., the hu F, i , by subtracting a scaled
version of the background component from the original
CSI, as
(m)
(m)
hu F, i = h F, i - a
N
(m)

(m)

(m)

N

h F, i

i =1

h F, i

/

(m) 2

,

Identification methodology
After taking the radio shot by means of the TR signal processing, we map the high-dimensional, complex-valued human
radio biometrics embedded in the CSI measurements into the
TR space, and we reduce the feature dimension from L # M
to 1. We can implement the human recognition problem as a
simple multiclass classification problem, where we measure
the similarity between training and testing features by the
value of the TRRS.
Let us denote the TRRS between two CFRs h F, 1 and h F, 2
as TR (h F, 1, h F, 2). Then, the TRRS between two radio biometric matrices H F, i and H F, j is defined as the average of the
TRRSs on each of the links, i.e.,
(m) (m)
TR (H F, i, H F, j) = 1 / TR^hu F, i , hu F, j h.
M m =1
M

(14)

where h F, i is a N sub # 1 complex-valued vector, which denotes the CSI when the ith individual is present. N is the
number of individuals to be identified, and N sub is the number
of subcarriers, i.e., the length of the CSI. The static CSI com(m)
ponent h F, 0 is generated from the static environment in the
(m)
absence of a human, and dh F, i denotes the perturbation in the
(m)
CSI caused by the ith individual. Here, the dh F, i is the raw
human radio biometric information of the ith individual
embedding in the CSI of the mth link.

Radio biometrics refinement

Because of the MIMO transmission, the radio biometrics of
(1 )
(2 )
(N )
each individual is a matrix, i.e., H F, i = [hu F, i, hu F, i, f, hu F, ilink ], 6 i,
where N link is the number of transmitter-receiver links in the
MIMO system.

(16)

where N1 R iN= 1 h F, i / < h F, i <2 is the estimation of the background information in the CSI and a ! [0, 1] is the background subtraction factor. A typical value of a is 0.5.

(17)

For any radio biometric measurement H F, test, given a training database consisting of the radio biometrics of each individual H F, i 6i, the predicted individual identity is determined
based on the TRRS, as shown in (18), where C is a predefined
threshold for triggering the identification, and ti = 0 denotes
an unidentified individual.
ti = )

argmax TR (H F, test, H F, i), if max
TR (H F, test, H F, i) $ C,
i
0,

i

otherwise.

(18)

Experiments
We conducted experiments to evaluate both the accuracy of
the TR-based human identification system and the impact
introduced by the inconsistency in human poses. The test setting is depicted in Figure 17(a), where a tester stands on the
footprint in a closed room between the transmitter and the
receiver, which are marked as circles.
To analyze the feasibility and accuracy of identifying individuals using human radio biometrics, we tested the system
to differentiate among 11 individuals, and the corresponding
ROC curve is plotted in Figure 17(b). With a threshold C being
0.91, the average identification rate was 98.78%, while the false
alarm rate was 9.75%. A false alarm was introduced mainly
when two individuals had similar body contours, such that
the possibility of misclassification between them increased.
However, since the permittivity and conductivity of body tissues, which are more distinct between different individuals,
also affected the Wi-Fi signal propagation that encountered the
human body, the identification accuracy was still high.
In the next experiment, we studied the impact of the inconsistency in human poses between the training and testing phases on the identification accuracy. We asked four participants to
stand at the same location and assume five different poses by
lifting their arm at various angles and in different directions,

IEEE Signal Processing Magazine

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May 2018

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73



Table of Contents for the Digital Edition of IEEE Signal Processing - May 2018

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