
Evaluation of stationarity regions in measured
non-WSSUS 60 GHz mmWave V2V channels
Danilo Radovic
Institute of Telecommunication
TU Wien
Vienna, Austria
danilo.radovic@tuwien.ac.at
Herbert Groll
Institute of Telecommunication
TU Wien
Vienna, Austria
herbert.groll@tuwien.ac.at
Christoph F. Mecklenbr¨
auker
Institute of Telecommunication
TU Wien
Vienna, Austria
Abstract—Due to high mobility in multipath propagation
environments, vehicle-to-vehicle (V2V) channels are generally
time and frequency variant. Therefore, the criteria for wide-
sense stationarity (WSS) and uncorrelated scattering (US) are
just satisfied over very limited intervals in the time and frequency
domains, respectively. We test the validity of these criteria in
measured vehicular 60 GHz millimeter wave (mmWave) channels,
by estimating the local scattering functions (LSFs) from the
measured data. Based on the variation of the LSFs, we define
time-frequency stationarity regions, over which the WSSUS
assumption is assumed to be fulfilled approximately. We analyze
and compare both line-of-sight (LOS) and non-LOS (NLOS) V2V
communication conditions.
We observe large stationarity regions for channels with a dom-
inant LOS connection, without relative movement between the
transmitting and receiving vehicle.
In the same measured urban driving scenario, modified by
eliminating the LOS component in the post-processing, the
channel is dominated by specular components reflected from an
overpassing vehicle with a relative velocity of 56 km/h. Here, we
observe a stationarity bandwidth of 270 MHz. Furthermore, the
NLOS channel, dominated by a single strong specular component,
shows a relatively large average stationarity time of 16 ms, while
the stationarity time for the channel with a rich multipath profile
is much shorter, in the order of 5ms.
Index Terms—V2V communication, mmWave, WSSUS, B5G
I. INTRODUCTION
Beyond fifth generation (B5G) wireless communication
technology is supposed to enhance the current systems by
offering new wide-bandwidth communication channels. Fur-
thermore, new technologies are developed to suit ever extend-
ing requirements of vehicular wireless communication. As a
suitable solution for this task, communication over millimeter
wave (mmWave) frequency band is proposed. However, the
vehicular channels show challenging characteristics due to
high mobility and rapidly changing scattering environment.
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Moreover, the Doppler spectrum may vary over the time-
frequency domain, limiting the validity assumption of wide-
sense stationarity (WSS) [1]. Nevertheless, the changing chan-
nel environment causes variations in the delay spectrum, vio-
lating the uncorrelated scattering (US) criterion. Furthermore,
as the carrier frequency increases, the Doppler shift becomes
more severe. Hence, the before mentioned stationarity issues
are magnified, and we conclude that mmWave vehicle-to-
vehicle (V2V) channels are in general non-WSSUS.
However, the validity of many channel models and design
of wireless transceivers is dependent on WSSUS assumption.
Therefore, it is important to analyze the size of stationarity
regions, as time-frequency area, in which WSSUS criteria are
approximately satisfied.
A theoretical approach to defining stationarity regions is given
in [2]. Further, multiple papers investigate the non-WSSUS
behavior of the measured channels. The authors in [3] and
[4] show spatial variation phenomenon, observing the fading
process and defining channel stationarity as a function of a
distance from the original position. [4] analyses the effect
of having a line-of-sight (LOS) as a contrast to a non-LOS
(NLOS) connection, showing that the spatial variation is not
as severe in LOS as in the NLOS conditions. Experimental
contributions for V2V communication, to the identification
of stationarity regions in time and frequency, for 5GHz
band, are presented in [5]. The authors in [6] analyze the
stationarity in the time domain depending on different V2V
5GHz measurement scenarios. However, to the best of our
knowledge, the stationarity investigation for 60 GHz band has
not been shown yet for vehicular communication.
We analyze the behavior of a real measured V2V 60 GHz
channel for typical LOS urban scenarios. Furthermore, in order
to compare the results with a NLOS scenario, we modify the
measured channel, by eliminating the LOS component in the
post-processing. We define local scattering function (LSF), by
using the concepts described in [2], and follow its variation
over time and frequency. By calculating collinearity between
LSFs, and setting a threshold, we define time and frequency,
over which LSF is approximately constant. Hence, we quantify
the consecutive time-frequency regions with approximately
satisfied WSSUS condition, called stationarity regions.
In Section II we introduce a definition of LSF, and discuss
arXiv:2210.02923v1 [eess.SP] 6 Oct 2022