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文献中的大多数信道模型均基于以下假设:移动站(MS)沿直线以恒定速度移动。 在现实的环境中,MS可能会遇到速度和轨迹的变化。 在本文中,提出了允许移动速度变化的三维(3-D)非平稳宽带多输入多输出(MIMO)信道模型。 这些参数是从WINNER +通道模型中获得的,以使仿真更加逼真。 推导并分析了包括空间互相关函数(CCF),时间自相关函数(ACF)和多普勒功率谱密度(PSD)在内的统计属性。 我们的发现表明,MS速度的变化对通道模型的统计特性有重大影响。 此外,所提出的信道模型可以用作将来的非平稳信道建模的基本框架。
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A 3-D Non-Stationary Wideband MIMO Channel
Model Allowing for Velocity Variations of the
Mobile Station
Ji Bian
1
, Cheng-Xiang Wang
2
, Minggao Zhang
1
, Xiaohu Ge
3
, and Xiqi Gao
4
1
Shandong Provincial Key Lab of Wireless Communication Technologies, Shandong University, Jinan, 250100, China.
2
Institute of Sensors, Signals and Systems, School of Engineering & Physical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK.
3
Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China.
4
School of Information Science and Engineering, Southeast University, Nanjing, 210096, China.
Email: bianjimail@163.com, cheng-xiang.wang@hw.ac.uk, zmg225@163.com, xhge@mail.hust.edu.cn, xqgao@seu.edu.cn
Abstract—Most channel models in the literature are based
on the assumption that the mobile station (MS) moves along
a straight line with a constant speed. In a realistic environment,
the MS may experience changes in their speeds and trajectories.
In this paper, a three-dimensional (3-D) non-stationary wideband
multiple-input multiple-output (MIMO) channel model allowing
for velocity variations of the MS is proposed. The parameters
are obtained from the WINNER+ channel model to make the
simulations more realistic. Statistical properties including spatial
cross-correlation function (CCF), temporal autocorrelation func-
tion (ACF), and Doppler power spectral density (PSD) are derived
and analyzed. Our findings show that a variation of the velocity
of the MS has a significant impact on the statistical properties of
the channel model. Furthermore, the proposed channel model can
be used as a basic framework for future non-stationary channel
modeling.
Index Terms—Non-stationary, GBSM, statistical properties,
trajectory variations, time-variant parameters.
I. INTRODUCTION
The development of the fifth generation (5G) wireless
communication systems is being carried out in full swing [1]–
[4]. The mobility features of the 5G wireless communication
networks call for the need for accurate and effective channel
models which are able to capture the dynamic properties
of the real wireless propagation environments. A common
assumption in channel modeling is that the channel fulfills
the wide-sense stationary (WSS) condition. However, the
WSS assumption is only valid when the observation time
interval is much shorter than the stationary interval. Channel
models with WSS assumption may neglect the non-stationary
characteristics of the channel, especially in high mobility
scenarios [5]–[7]. In realistic propagation scenarios, the non-
stationarity of the channel could be a result of movements of
scatterers such as fallen leaves, pedestrians, and vehicles. In
[8], a non-stationary 3-D wideband twin-cluster channel model
was proposed. The clusters are in motion or stay static with
certain probabilities and a birth-death process was adopted to
model the clusters’ appearance and disappearance. Another
major cause leading to wireless channels’ non-stationarity is
the movement of MS. The COST family channel models, e.g.,
the COST 2100 channel model [9] introduced the concept of
visibility region (VR). As the MS enters and leaves different
VRs, the active clusters that can be seen by the MS change,
resulting in a non-stationary channel.
Most channel models in the literature [10]–[13] are based
on the assumption that the MS moves with a constant speed
in a fixed direction. However, in a realistic environment, the
MS may experience acceleration/deceleration caused by traffic
lights and change the movement direction when cornering,
which can cause a significant impact on the statistics of
wireless channels. However, the channel models allowing for
velocity variations of the MS are still very limited. The authors
in [14] analyzed the statistics of the channel when the MS
moves with a constant acceleration but in a fix direction.
The authors in [15] proposed a two-dimensional (2-D) non-
stationary channel model allowing the MS to move with
varying velocity (both speeds and directions). In [16], the
authors expanded the work of [15] into a mobile-to-mobile
(M2M) channel model, in which both the transmitter and the
receiver can change their velocities over time. The temporal
ACF and the Wigner spectrum of the proposed model were
derived. The authors in [17] proposed a 2-D non-stationary
channel model using a sum-of-chirps (SOC
h
) process and
the Doppler PSD was analyzed through the Wigner spectrum.
However, channel models in [15]–[17] are 2-D channel models
and ignored the time evolution of clusters. Besides, the channel
models in [15] and [16] can only model isotropic scattering
environment.
In this paper, a 3-D non-stationary wideband MIMO channel
model is proposed. The MS of the proposed channel model
is allowed to move with an acceleration and move in curves,
e.g., a sine shaped trajectory. The spatial CCF, temporal ACF,
and Doppler PSD of the proposed channel model are derived
and analyzed. It is shown that the motion of the MS has a
significant impact on the statistical properties of the channel
model. Furthermore, the channel model can be adapted to
various scenarios by setting different channel parameters.
The remainder of this paper is organized as follows. In
Section II, a 3-D non-stationary wideband MIMO channel
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