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CN110620627B - A non-stationary channel modeling method and apparatus for a vehicle-to-vehicle multi-antenna system - Google Patents

A non-stationary channel modeling method and apparatus for a vehicle-to-vehicle multi-antenna system Download PDF

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CN110620627B
CN110620627B CN201910973638.6A CN201910973638A CN110620627B CN 110620627 B CN110620627 B CN 110620627B CN 201910973638 A CN201910973638 A CN 201910973638A CN 110620627 B CN110620627 B CN 110620627B
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马楠
王妙伊
张平
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Beijing University of Posts and Telecommunications
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    • HELECTRICITY
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    • H04W4/40Services specially adapted for particular environments, situations or purposes for vehicles, e.g. vehicle-to-pedestrians [V2P]
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Abstract

为了解决现有技术的问题,本公开提供了一种车辆到车辆多天线系统的非平稳信道建模方法及装置,可以建立高精度的信道模型。一种车辆到车辆多天线系统的非平稳信道建模方法,包括:以发射端和接收端为圆心建立双环模型;以发射端和接收端为焦点建立半椭球模型;基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;基于直射路径、单射路径和双射路径获得发射端到接收端的信道冲激响应函数;基于信道冲激响应函数获得时空相关函数。本公开基于直射路径、单射路径和双射路径建立信道模型,其建立的模型精度更高,能更好好地表征V2V MIMO信道的特性。

Figure 201910973638

In order to solve the problems of the prior art, the present disclosure provides a non-stationary channel modeling method and device for a vehicle-to-vehicle multi-antenna system, which can establish a high-precision channel model. A non-stationary channel modeling method for a vehicle-to-vehicle multi-antenna system, comprising: establishing a double-loop model with a transmitter and a receiver as the center; establishing a semi-ellipsoid model with the transmitter and receiver as the focus; based on the double-loop model and the semi-ellipse The spherical model obtains the direct path, the single-shot path and the double-shot path; the channel impulse response function from the transmitter to the receiver is obtained based on the direct path, the single-shot path and the double-shot path; the spatiotemporal correlation function is obtained based on the channel impulse response function. The present disclosure establishes a channel model based on the direct path, the single-shot path and the dual-shot path, and the established model has higher accuracy and can better characterize the characteristics of the V2V MIMO channel.

Figure 201910973638

Description

一种车辆到车辆多天线系统的非平稳信道建模方法及装置A non-stationary channel modeling method and device for a vehicle-to-vehicle multi-antenna system

技术领域technical field

本公开涉及一种通信领域,尤其涉及一种车辆到车辆多天线系统的非平稳信道建模方法及装置。The present disclosure relates to the field of communications, and in particular, to a non-stationary channel modeling method and device for a vehicle-to-vehicle multi-antenna system.

背景技术Background technique

近年来,大规模MIMO(多输入多输出)多天线无线通信技术由于具备可以大幅提高频谱效率和系统容量的优点,成为了研究的焦点。同时,车辆到车辆(V2V)通信被认为是智能化不可或缺的部分之一。因此,考虑在V2V通信系统中采用MIMO多天线无线通信技术(本文中将采用MIMO多天线无线通信技术的V2V通信系统简称为车辆到车辆多天线系统),对于第五代无线通信网络(5G)是非常有益的。现有相关文献已给出了V2V场景下MIMO信道的几何建模方法,但根据现有技术建模方法所建立的模型精度较低,无法精确地表征V2V MIMO信道的特性。In recent years, Massive MIMO (Multiple Input Multiple Output) multi-antenna wireless communication technology has become the focus of research due to its advantages of significantly improving spectral efficiency and system capacity. At the same time, vehicle-to-vehicle (V2V) communication is considered to be one of the indispensable parts of intelligence. Therefore, considering the adoption of the MIMO multi-antenna wireless communication technology in the V2V communication system (the V2V communication system employing the MIMO multi-antenna wireless communication technology is referred to as the vehicle-to-vehicle multi-antenna system for short), for the fifth generation wireless communication network (5G) is very helpful. Existing related literatures have given geometric modeling methods of MIMO channels in V2V scenarios, but the models established according to the existing modeling methods have low accuracy and cannot accurately characterize the characteristics of V2V MIMO channels.

发明内容SUMMARY OF THE INVENTION

为了解决上述技术问题中的至少一个,本公开提供了一种车辆到车辆多天线系统的非平稳信道建模方法及装置,提高信道模型高精度。In order to solve at least one of the above technical problems, the present disclosure provides a non-stationary channel modeling method and device for a vehicle-to-vehicle multi-antenna system, which improves the high precision of the channel model.

本公开的一方面,一种车辆到车辆多天线系统的非平稳信道建模方法,包括:In one aspect of the present disclosure, a non-stationary channel modeling method for a vehicle-to-vehicle multi-antenna system includes:

以发射端和接收端为圆心建立双环模型;A double-loop model is established with the transmitter and receiver as the center;

以发射端和接收端为焦点建立半椭球模型;A semi-ellipsoid model is established with the transmitter and receiver as the focus;

基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;Obtain direct path, single shot path and double shot path based on double ring model and semi-ellipsoid model;

基于直射路径、单射路径和双射路径获得发射端到接收端的信道冲激响应函数;Obtain the channel impulse response function from the transmitter to the receiver based on the direct path, the single-shot path and the dual-shot path;

基于信道冲激响应函数获得时空相关函数。The spatiotemporal correlation function is obtained based on the channel impulse response function.

可选的,根据Hata模型路径损耗公式计算单射路径和双射路径的可见增益,筛除可见增益小于阈值增益的单射路径和可见增益小于阈值增益的双射路径。Optionally, the visible gain of the single-shot path and the dual-shot path is calculated according to the Hata model path loss formula, and the single-shot path with the visible gain less than the threshold gain and the double-shot path with the visible gain less than the threshold gain are screened out.

可选的,所述信道冲激响应函数为:Optionally, the channel impulse response function is:

Figure GDA0003123609820000021
Figure GDA0003123609820000021

上式中,

Figure GDA0003123609820000022
表示直射路径分量;
Figure GDA0003123609820000023
表示单射路径分量,
Figure GDA0003123609820000024
表示双射路径分量;In the above formula,
Figure GDA0003123609820000022
represents the direct path component;
Figure GDA0003123609820000023
represents the injective path component,
Figure GDA0003123609820000024
represents the bijective path component;

其中,

Figure GDA0003123609820000025
in,
Figure GDA0003123609820000025

Figure GDA0003123609820000026
Figure GDA0003123609820000026

Figure GDA0003123609820000027
Figure GDA0003123609820000027

可选的,令双环模型中各环区域中的散射体数量以及半椭球模型区域中的散射体数量为S,优化时空相关函数。Optionally, let the number of scatterers in each ring region in the double-ring model and the number of scatterers in the region of the semi-ellipsoid model be S, and optimize the spatiotemporal correlation function.

可选的,所述基于信道冲激响应函数获得时空相关函数包括:Optionally, the obtaining the spatiotemporal correlation function based on the channel impulse response function includes:

建立时空函数表达式:Create a spatiotemporal function expression:

Figure GDA0003123609820000028
Figure GDA0003123609820000028

其中,hkl,pq(t)表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间的信道冲激响应,hk′l′,p′q′(t)表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的信道冲激响应,τ表示时延,*表示求共轭复数的符号,E表示求数学期望符号;Among them, h kl,pq (t) represents the channel impulse response from the antenna element of row k row l column at the transmitting end to the antenna element of row p row q column at the receiving end at time t, h k′l′,p′q′ (t ) represents the channel impulse response from the antenna element in column k' row l' at the transmitting end to the antenna element in column p' row q' at the receiving end at time t, τ represents the time delay, * represents the symbol of complex conjugate, E represents Find the mathematical expectation symbol;

基于时空函数表达式和信道冲激响应函数得到时空表达式各路径分量:Based on the space-time function expression and the channel impulse response function, the path components of the space-time expression are obtained:

直射路径分量:Direct path component:

Figure GDA0003123609820000029
Figure GDA0003123609820000029

N1单射路径分量:N 1 injective path components:

Figure GDA00031236098200000210
Figure GDA00031236098200000210

N2单射路径分量:N 2 injective path components:

Figure GDA0003123609820000031
Figure GDA0003123609820000031

N3单射路径分量:N 3 injective path components:

Figure GDA0003123609820000032
Figure GDA0003123609820000032

双射路径分量:Bijective path components:

Figure GDA0003123609820000033
Figure GDA0003123609820000033

其中,N1表示以发射端为圆心的环上分布着N1个移动散射体,n1表示多径经过圆环上散射体的序号,N2表示以接收端为圆心的环上分布着N2个移动散射体,n2表示多径经过圆环上散射体的序号,N3表示以两个圆心为焦点的半椭球上分布着N3个静止散射体,n3表示多径经过半椭球上散射体的序号,令双环模型中各环区域中的散射体数量以及半椭球模型区域中的散射体数量为S。Among them, N1 indicates that N1 moving scatterers are distributed on the ring with the transmitting end as the center, n1 indicates the serial number of the scatterers on the multipath passing ring, and N2 indicates that there are N2 moving scatterers distributed on the ring with the receiving end as the center , n2 represents the serial number of the scatterer on the multipath passing through the ring, N3 represents the N3 stationary scatterers distributed on the semi-ellipsoid with the two centers as the foci, n3 represents the serial number of the scatterer on the multipath passing through the semi-ellipsoid, let The number of scatterers in each ring region in the double-ring model and the number of scatterers in the half-ellipsoid model region is S.

上式中,K是莱斯因子;e为常数,j表示虚数,t表示时间变量,

Figure GDA0003123609820000034
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间直射路径分量的多普勒频移,
Figure GDA0003123609820000035
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间的直射路径分量的接收相位,
Figure GDA0003123609820000036
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的直射路径分量的多普勒频移,
Figure GDA0003123609820000037
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的直射路径分量的接收相位;Pi和PDB是归一化功率相关系数,满足
Figure GDA0003123609820000038
Figure GDA0003123609820000039
是散射体ni与发射端MT之间的最大多普勒频移;
Figure GDA00031236098200000310
是散射体ni与接收端MR之间的最大多普勒频移;
Figure GDA00031236098200000311
Figure GDA00031236098200000312
在x-y平面的方位角;
Figure GDA00031236098200000313
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间非直射路径分量的多普勒频移;
Figure GDA00031236098200000314
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间的非直射路径分量的接收相位;i=1,2,3;NLoS表示非视距分量;
Figure GDA0003123609820000041
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间的非直射双射路径分量的多普勒频移;
Figure GDA0003123609820000042
表示t时刻从发射端k行l列天线元素到接收端p行q列天线元素之间的非直射双射路径分量的接收相位,
Figure GDA0003123609820000043
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的非直射路径分量的多普勒频移;
Figure GDA0003123609820000044
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的非直射路径分量的接收相位;
Figure GDA0003123609820000045
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的非直射双射路径分量的多普勒频移;
Figure GDA0003123609820000046
表示t时刻从发射端k’行l’列天线元素到接收端p’行q’列天线元素之间的非直射双射路径分量的接收相位。In the above formula, K is the Rice factor; e is a constant, j is an imaginary number, t is a time variable,
Figure GDA0003123609820000034
Represents the Doppler frequency shift of the direct path component from the antenna element of row k row l column at the transmitting end to the antenna element of row p row q column at the receiving end at time t,
Figure GDA0003123609820000035
represents the receiving phase of the direct path component between the antenna elements of k rows and l columns of the transmitting end to the antenna elements of p rows and q columns of the receiving end at time t,
Figure GDA0003123609820000036
Represents the Doppler frequency shift of the direct path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t,
Figure GDA0003123609820000037
Represents the receiving phase of the direct path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t; P i and P DB are the normalized power correlation coefficients, satisfying
Figure GDA0003123609820000038
Figure GDA0003123609820000039
is the maximum Doppler frequency shift between the scatterer ni and the transmitter MT ;
Figure GDA00031236098200000310
is the maximum Doppler frequency shift between the scatterer ni and the receiver MR ;
Figure GDA00031236098200000311
for
Figure GDA00031236098200000312
Azimuth in the xy plane;
Figure GDA00031236098200000313
Represents the Doppler frequency shift of the indirect path component from the antenna element of row k row l column at the transmitting end to the antenna element of row p row q column at the receiving end at time t;
Figure GDA00031236098200000314
Represents the receiving phase of the indirect path component from the antenna element of row k row l column at the transmitting end to the antenna element p row q column at the receiving end at time t; i=1, 2, 3; NLoS represents the non-line-of-sight component;
Figure GDA0003123609820000041
Represents the Doppler frequency shift of the indirect dual-radio path component between the antenna elements of k rows and l columns of the transmitting end to the antenna elements of p rows and q columns of the receiving end at time t;
Figure GDA0003123609820000042
represents the receiving phase of the indirect dual-radiation path component between the antenna elements of k rows and l columns of the transmitting end to the antenna elements of p rows and q columns of the receiving end at time t,
Figure GDA0003123609820000043
Represents the Doppler frequency shift of the indirect path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t;
Figure GDA0003123609820000044
Represents the receiving phase of the indirect path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t;
Figure GDA0003123609820000045
Represents the Doppler frequency shift of the indirect dual-radio path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t;
Figure GDA0003123609820000046
Represents the receiving phase of the indirect dual-radiation path component from the antenna element of the transmitting end k' row l' column to the receiving end p' row q' column antenna element at time t.

可选的,方法还包括基于时空相关函数预测通信系统性能,或,基于时空相关函数验证通信系统性能,或,基于时空相关函数进行后端信号处理。Optionally, the method further includes predicting the performance of the communication system based on the spatiotemporal correlation function, or verifying the performance of the communication system based on the spatiotemporal correlation function, or performing back-end signal processing based on the spatiotemporal correlation function.

本公开的另一方面,一种车辆到车辆多天线系统的非平稳信道建模装置,包括:Another aspect of the present disclosure is a non-stationary channel modeling apparatus for a vehicle-to-vehicle multi-antenna system, comprising:

双环模型建立模块,用于以发射端和接收端为圆心建立双环模型;The double-loop model building module is used to establish a double-loop model with the transmitting end and the receiving end as the center of the circle;

半椭球模型建立模块,用于以发射端和接收端为焦点建立半椭球模型;The semi-ellipsoid model building module is used to build a semi-ellipsoid model with the transmitting end and the receiving end as the focus;

路径获取模块,用于基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;The path acquisition module is used to obtain direct paths, single-shot paths and bi-jective paths based on the double-ring model and the semi-ellipsoid model;

信道冲激响应函数获取模块,用于基于直射路径、单射路径和双射路径获得发射端到接收端的信道冲激响应函数;The channel impulse response function acquisition module is used to obtain the channel impulse response function from the transmitter to the receiver based on the direct path, the single-shot path and the dual-shot path;

时空相关函数获取模块,用于基于信道冲激响应函数获得时空相关函数。The spatiotemporal correlation function obtaining module is used to obtain the spatiotemporal correlation function based on the channel impulse response function.

可选的,所述路径获取模块,还用于根据Hata模型路径损耗公式计算单射路径和双射路径的可见增益,筛除可见增益小于阈值增益的单射路径和可见增益小于阈值增益的双射路径。Optionally, the path acquisition module is further configured to calculate the visible gain of the single-shot path and the dual-shot path according to the Hata model path loss formula, and filter out the single-shot path with the visible gain less than the threshold gain and the double-shot path with the visible gain less than the threshold gain. shot path.

可选的,装置还包括时空相关函数优化模块,用于令双环模型中各环区域中的散射体数量以及半椭球模型区域中的散射体数量为S,优化时空相关函数。Optionally, the device further includes a spatiotemporal correlation function optimization module, configured to optimize the spatiotemporal correlation function by setting the number of scatterers in each ring region in the double-ring model and the number of scatterers in the semi-ellipsoid model region as S.

可选的,装置还包括处理模块,处理模块用于基于时空相关函数预测通信系统性能,或,基于时空相关函数验证通信系统性能,或,基于时空相关函数进行后端信号处理。Optionally, the apparatus further includes a processing module configured to predict the performance of the communication system based on the spatiotemporal correlation function, or verify the performance of the communication system based on the spatiotemporal correlation function, or perform back-end signal processing based on the spatiotemporal correlation function.

本发明以发射端和接收端为圆心建立双环模型;以发射端和接收端为焦点建立半椭球模型;基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;基于直射路径、单射路径和双射路径建立信道模型,其建立的模型精度更高,能更好好地表征V2V MIMO信道的特性。The invention takes the transmitting end and the receiving end as the center of the circle to establish a double-ring model; takes the transmitting end and the receiving end as the focus to establish a semi-ellipsoid model; Path, single-shot path and dual-shot path establish channel models, and the established models have higher accuracy and can better characterize the characteristics of V2V MIMO channels.

附图说明Description of drawings

附图示出了本公开的示例性实施方式,并与其说明一起用于解释本公开的原理,其中包括了这些附图以提供对本公开的进一步理解,并且附图包括在本说明书中并构成本说明书的一部分。The accompanying drawings illustrate exemplary embodiments of the present disclosure and, together with the description, serve to explain the principles of the present disclosure, are included to provide a further understanding of the disclosure, and are incorporated in and constitute the present specification part of the manual.

图1是本公开的示例性实施方式中的方法流程图;FIG. 1 is a flowchart of a method in an exemplary embodiment of the present disclosure;

图2是本公开的示例性实施方式中的信道模型图;2 is a channel model diagram in an exemplary embodiment of the present disclosure;

图3是本公开的示例性实施方式中的装置连接图。FIG. 3 is a device connection diagram in an exemplary embodiment of the present disclosure.

具体实施方式Detailed ways

下面结合附图和实施方式对本公开作进一步的详细说明。可以理解的是,此处所描述的具体实施方式仅用于解释相关内容,而非对本公开的限定。另外还需要说明的是,为了便于描述,附图中仅示出了与本公开相关的部分。The present disclosure will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the related content, but not to limit the present disclosure. In addition, it should be noted that, for the convenience of description, only the parts related to the present disclosure are shown in the drawings.

需要说明的是,在不冲突的情况下,本公开中的实施方式及实施方式中的特征可以相互组合。下面将参考附图并结合实施方式来详细说明本公开。It should be noted that the embodiments of the present disclosure and the features of the embodiments may be combined with each other unless there is conflict. The present disclosure will be described in detail below with reference to the accompanying drawings and in conjunction with the embodiments.

如图1和图2所述,一种车辆到车辆多天线系统的非平稳信道建模方法,包括:As shown in Figures 1 and 2, a non-stationary channel modeling method for a vehicle-to-vehicle multi-antenna system includes:

步骤S1:以发射端和接收端为圆心建立双环模型;Step S1: establish a double-ring model with the transmitting end and the receiving end as the center;

步骤S2:以发射端和接收端为焦点建立半椭球模型;Step S2: establishing a semi-ellipsoid model with the transmitting end and the receiving end as the focus;

步骤S3:基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;Step S3: obtaining a direct path, a single shot path and a double shot path based on the double ring model and the semi-ellipsoid model;

步骤S4:基于直射路径、单射路径和双射路径获得发射端到接收端的信道冲激响应函数;Step S4: obtaining the channel impulse response function from the transmitter to the receiver based on the direct path, the single-shot path and the dual-shot path;

步骤S5:基于信道冲激响应函数获得时空相关函数。Step S5: obtaining a spatiotemporal correlation function based on the channel impulse response function.

本实施例,车辆到车辆多天线系统的发射端MT和接收端MR采用均匀平面阵列天线,车辆到车辆多天线系统的非平稳信道建模方法即建立从发射端k行l列到接收端p行q列天线元素之间的信道模型的方法。In this embodiment, the transmitting end MT and the receiving end MR of the vehicle-to-vehicle multi-antenna system use uniform planar array antennas, and the non-stationary channel modeling method of the vehicle-to-vehicle multi-antenna system is to establish a channel from the transmitting end k rows and l columns to the receiving end. A method for channel modeling between antenna elements at end p rows and q columns.

如图2所示,步骤S1中,双环模型包括以发射端为圆心的第一圆环和以接收端为圆心的第二圆环,第一圆环半径记为Rt,第二圆环半径记为Rr,半椭球模型以发射端和接收端作为模型中的椭圆的两个焦点,椭圆的长短半轴分别为a和b,焦点距离为D0As shown in Figure 2, in step S1, the double-ring model includes a first ring with the transmitting end as the center and a second ring with the receiving end as the center, the radius of the first ring is denoted as R t , and the radius of the second ring Denoted as R r , the semi-ellipsoid model takes the transmitting end and the receiving end as the two foci of the ellipse in the model, the long and short semi-axes of the ellipse are a and b respectively, and the focal distance is D 0 .

发射端移动速度向量记为vT,以发射端为圆心的第一圆环上分布着N1个移动速度向量为

Figure GDA0003123609820000061
的车辆(即第一散射体N1′);接收端移动速度向量记为vR,以接收端为圆心的第二圆环上分布着N2个移动速度向量为
Figure GDA0003123609820000062
的车辆(即第二散射体N2′);考虑车辆沿道路行驶,假设所有的速度方向均沿x轴正方向。假设半椭球模型(图2中的半椭球区域,)分布着N3个静止散射体(即第三散射体N2′)。本申请中,N′i表示散射体本身,Ni表示散射体数量,ni表示N′i散射体集合中的单个散射体,取值为1到Ni。The moving speed vector of the transmitting end is denoted as v T , and N 1 moving speed vectors are distributed on the first ring with the transmitting end as the center of the circle, which is
Figure GDA0003123609820000061
The vehicle (that is, the first scatterer N 1 ′); the moving speed vector of the receiving end is denoted as v R , and there are N 2 moving speed vectors distributed on the second ring with the receiving end as the center of the circle:
Figure GDA0003123609820000062
The vehicle (ie the second scatterer N 2 ′); consider the vehicle traveling along the road, assuming that all the speed directions are along the positive direction of the x-axis. It is assumed that the semi-ellipsoid model (the semi-ellipsoid region in Fig. 2 ) is distributed with N 3 stationary scatterers (ie, the third scatterer N 2 '). In this application, N' i represents the scatterer itself, Ni represents the number of scatterers, ni represents a single scatterer in the set of N' i scatterers, and ranges from 1 to N i .

步骤S3中的直射路径即发射端到接收端的直达路径,单射路径即发射端通过一个散射体(一个第一散射体、第二散射体或第三散射体)后到接收端的路径,双射路径即通过两个散射体(一个第一散射体和一个第二散射体)后到接收端的路径。The direct path in step S3 is the direct path from the transmitter to the receiver, the single shot path is the path from the transmitter to the receiver after passing through a scatterer (a first scatterer, a second scatterer or a third scatterer), and a double shot path. The path is the path to the receiving end after passing through two scatterers (a first scatterer and a second scatterer).

本公开的技术方案,结合直射路径分量(即视距分量)、静止散射体的单射分量、移动散射体的单射分量和移动散射体的二次散射分量,得到信道冲激响应函数和时空相关函数,使得模型精度更高,更接近车辆通信的实际环境。The technical solution of the present disclosure combines the direct path component (ie the line-of-sight component), the single-shot component of the stationary scatterer, the single-shot component of the moving scatterer, and the secondary scattering component of the moving scatterer to obtain the channel impulse response function and the space-time The correlation function makes the model more accurate and closer to the actual environment of vehicle communication.

信道冲激响应hkl,pq(t)由直射路径分量、分别通过N1′,N2′,N3′的单射路径分量和通过N1′N2′的双射路径分量组成。The channel impulse response h kl,pq (t) consists of a direct path component, a single-shot path component passing through N 1 ', N 2 ', N 3 ', respectively, and a dual-shot path component passing through N 1 'N 2 '.

具体表示为:Specifically expressed as:

Figure GDA0003123609820000071
Figure GDA0003123609820000071

Figure GDA0003123609820000072
表示直射路径分量;
Figure GDA0003123609820000073
表示单射路径分量,
Figure GDA0003123609820000074
表示双射路径分量。
Figure GDA0003123609820000072
represents the direct path component;
Figure GDA0003123609820000073
represents the injective path component,
Figure GDA0003123609820000074
represents a bijective path component.

具体的,公式中的下标kl表示发射端k行l列,pq表示接收端p行q列,t表示时间变量;

Figure GDA0003123609820000075
表示时间变量t下发射端k行l列到接收端p行q列的直射路径分量;
Figure GDA0003123609820000076
表示时间变量t下发射端k行l列通过ni到接收端p行q列的单射路径分量;
Figure GDA0003123609820000077
表示时间变量t下发射端k行l列通过n1和n2到接收端p行q列的双射路径分量。Specifically, the subscript k1 in the formula represents the k row and 1 column of the transmitter, pq represents the p row and q column of the receiver, and t represents the time variable;
Figure GDA0003123609820000075
Represents the direct path component from the transmitting end k row l column to the receiving end p row q column under the time variable t;
Figure GDA0003123609820000076
Represents the single-shot path component from the transmitting end k row l column to the receiving end p row q column through n i under the time variable t;
Figure GDA0003123609820000077
Represents the bijective path components from the transmitter in row k, column l, through n 1 and n 2 to the receiver in row p, column q, under the time variable t.

其中:in:

直射路径分量:Direct path component:

Figure GDA0003123609820000078
Figure GDA0003123609820000078

K是莱斯因子,e为常数,其值约为2.71828,

Figure GDA0003123609820000079
表示直射路径的多普勒频移,
Figure GDA00031236098200000710
表示直射路径分量的接收相位。j表示虚数,平方等于-1,t表示时间变量。具体的,
Figure GDA00031236098200000711
表示时间变量t下发射端k行l列到接收端p行q列的直射路径分量的多普勒频移,
Figure GDA00031236098200000712
表示时间变量t下发射端k行l列到接收端p行q列的直射路径分量的接收相位。K is the Rice factor, e is a constant, and its value is about 2.71828,
Figure GDA0003123609820000079
represents the Doppler shift of the direct path,
Figure GDA00031236098200000710
Represents the receive phase of the direct path component. j represents the imaginary number, the square is equal to -1, and t represents the time variable. specific,
Figure GDA00031236098200000711
Represents the Doppler frequency shift of the direct path component from the transmitter in row k, column l to the receiver, in column p, row q, under the time variable t,
Figure GDA00031236098200000712
Represents the receiving phase of the direct path component from the transmitting end in row k, column l to the receiving end in row p, column q under the time variable t.

单射路径分量:Single-shot path components:

Figure GDA00031236098200000713
Figure GDA00031236098200000713

K是莱斯因子,i=1,2,3,Pi是归一化功率相关系数,

Figure GDA00031236098200000714
是散射体ni与MT(MR)之间的最大多普勒频移,即
Figure GDA00031236098200000715
表示散射体ni与发射端MT之间的最大多普勒频移,
Figure GDA00031236098200000716
表示散射体ni与接收端MR之间的最大多普勒频移;如图2所示,
Figure GDA00031236098200000717
Figure GDA00031236098200000718
在x-y平面的方位角,即
Figure GDA00031236098200000719
Figure GDA00031236098200000720
在x-y平面的方位角,
Figure GDA00031236098200000721
Figure GDA00031236098200000722
在x-y平面的方位角;
Figure GDA00031236098200000723
是时间变量t下发射端k行l列通过ni到接收端p行q列的直射路径分量中的接收端MR一侧的路径段,如i=3时,
Figure GDA0003123609820000081
表示散射体n3到接收端MR段;
Figure GDA0003123609820000082
表示单射路径分量的接收相位,具体的,
Figure GDA0003123609820000083
表示时间变量t下发射端k行l列通过ni到接收端p行q列的单射路径分量的接收相位。本申请中的公式参数均按上述方式命名。K is the Rice factor, i =1,2,3, Pi is the normalized power correlation coefficient,
Figure GDA00031236098200000714
is the maximum Doppler shift between scatterer ni and M T (MR ), namely
Figure GDA00031236098200000715
represents the maximum Doppler frequency shift between the scatterer ni and the transmitter MT ,
Figure GDA00031236098200000716
represents the maximum Doppler frequency shift between the scatterer ni and the receiver MR ; as shown in Figure 2,
Figure GDA00031236098200000717
for
Figure GDA00031236098200000718
The azimuth in the xy plane, i.e.
Figure GDA00031236098200000719
for
Figure GDA00031236098200000720
Azimuth in the xy plane,
Figure GDA00031236098200000721
for
Figure GDA00031236098200000722
Azimuth in the xy plane;
Figure GDA00031236098200000723
is the path segment on the receiving end MR side in the direct path component of the transmitting end k row l column passing through n i to the receiving end p row q column under the time variable t, such as when i=3,
Figure GDA0003123609820000081
Represents the MR segment from the scatterer n 3 to the receiver;
Figure GDA0003123609820000082
represents the received phase of the single-shot path component, specifically,
Figure GDA0003123609820000083
Represents the receiving phase of the single-shot path component from the transmitting end in row k, column l through ni to the receiving end in row q, column under the time variable t. The formula parameters in this application are named in the above-mentioned manner.

双射路径分量:Bijective path components:

Figure GDA0003123609820000084
Figure GDA0003123609820000084

K是莱斯因子,Pi和PDB是归一化功率相关系数,满足

Figure GDA0003123609820000085
Figure GDA0003123609820000086
Figure GDA0003123609820000087
是散射体n1与发射端MT之间的最大多普勒频移,
Figure GDA0003123609820000088
是散射体n2与接收端MR之间的最大多普勒频移。
Figure GDA0003123609820000089
表示双射路径分量的接收相位;
Figure GDA00031236098200000810
Figure GDA00031236098200000811
在x-y平面的方位角,
Figure GDA00031236098200000812
Figure GDA00031236098200000813
在x-y平面的方位角,具体的,
Figure GDA00031236098200000814
表示时间变量t下发射端k行l列通过n1和n2到接收端p行q列的双射路径分量的接收相位;
Figure GDA00031236098200000815
是时间变量t下发射端k行l列通过n1到接收端p行q列的直射路径分量中的发射端MT一侧的路径段,即散射体n1到发射端MT段;
Figure GDA00031236098200000816
是时间变量t下发射端k行l列通过n2到接收端p行q列的直射路径分量中的接收端MR一侧的路径段,即散射体n2到接收端MR段。K is the Rice factor, P i and P DB are the normalized power correlation coefficients, satisfying
Figure GDA0003123609820000085
Figure GDA0003123609820000086
Figure GDA0003123609820000087
is the maximum Doppler shift between the scatterer n 1 and the transmitter MT,
Figure GDA0003123609820000088
is the maximum Doppler shift between the scatterer n 2 and the receiver MR .
Figure GDA0003123609820000089
represents the received phase of the bijection path component;
Figure GDA00031236098200000810
for
Figure GDA00031236098200000811
Azimuth in the xy plane,
Figure GDA00031236098200000812
for
Figure GDA00031236098200000813
The azimuth in the xy plane, specifically,
Figure GDA00031236098200000814
Represents the receiving phase of the bijection path component from the transmitting end k row l column through n 1 and n 2 to the receiving end p row q column under the time variable t;
Figure GDA00031236098200000815
is the path segment on the side of the transmitting end MT in the direct path component of the transmitting end k row l column passing n 1 to the receiving end p row q column under the time variable t, that is, the scatterer n 1 to the transmitting end MT segment;
Figure GDA00031236098200000816
is the path segment on the receiving end MR side in the direct path component of the transmitting end k row l column passing n 2 to the receiving end row q column under the time variable t, that is, the scatterer n 2 to the receiving end MR segment.

各路径分量的多普勒频移可以分别表示为:The Doppler shift of each path component can be expressed as:

Figure GDA00031236098200000817
Figure GDA00031236098200000817

Figure GDA00031236098200000818
Figure GDA00031236098200000818

Figure GDA00031236098200000819
Figure GDA00031236098200000819

其中,<>表示矢量内积,即点乘。||||表示模值。这里用的是向量内积的定义,两向量内积除以两向量的模值,等于两向量夹角余弦值。

Figure GDA00031236098200000820
是散射体ni与MT(MR)之间的最大多普勒频移,即
Figure GDA00031236098200000821
是散射体n1与MT之间的最大多普勒频移,
Figure GDA00031236098200000822
是散射体n1与MR之间的最大多普勒频移,
Figure GDA00031236098200000823
是散射体n2与MR之间的最大多普勒频移,
Figure GDA00031236098200000824
是散射体n2与TR之间的最大多普勒频移,λ=c/fc,fc是载波频率,c是光速。Among them, <> represents the inner product of the vector, that is, the dot product. |||| represents the modulo value. The definition of vector inner product is used here. The inner product of two vectors divided by the modulus value of the two vectors is equal to the cosine value of the angle between the two vectors.
Figure GDA00031236098200000820
is the maximum Doppler shift between scatterer ni and M T (MR ), namely
Figure GDA00031236098200000821
is the maximum Doppler shift between scatterer n 1 and MT,
Figure GDA00031236098200000822
is the maximum Doppler shift between scatterer n 1 and MR ,
Figure GDA00031236098200000823
is the maximum Doppler shift between scatterer n and MR ,
Figure GDA00031236098200000824
is the maximum Doppler shift between scatterer n 2 and TR , λ=c/f c , f c is the carrier frequency, and c is the speed of light.

各路径分量的接收相位可以分别表示为:The received phase of each path component can be expressed as:

Figure GDA0003123609820000091
Figure GDA0003123609820000091

Figure GDA0003123609820000092
Figure GDA0003123609820000092

Figure GDA0003123609820000093
Figure GDA0003123609820000093

Figure GDA0003123609820000094
Figure GDA0003123609820000094

其中初始相位

Figure GDA0003123609820000095
Figure GDA0003123609820000096
Figure GDA0003123609820000097
在x-y平面的方位角。考虑到静止散射体N3表征街道周围环境中的高楼建筑、树木等实物,建模时高度不可忽略。记
Figure GDA0003123609820000098
Figure GDA0003123609820000099
的仰角,
Figure GDA00031236098200000910
Figure GDA00031236098200000911
与x轴的空间夹角,则有:where the initial phase
Figure GDA0003123609820000095
Figure GDA0003123609820000096
for
Figure GDA0003123609820000097
Azimuth in the xy plane. Considering that the static scatterer N 3 represents real objects such as tall buildings and trees in the surrounding environment of the street, the height cannot be ignored in modeling. remember
Figure GDA0003123609820000098
for
Figure GDA0003123609820000099
the elevation angle,
Figure GDA00031236098200000910
for
Figure GDA00031236098200000911
The space angle with the x-axis is:

Figure GDA00031236098200000912
Figure GDA00031236098200000912

Figure GDA00031236098200000913
Figure GDA00031236098200000913

考虑信道的非平稳特性,记时延为τ,时变参数在t+τ时刻进行如下更新:Considering the non-stationary characteristics of the channel, the time delay is τ, and the time-varying parameters are updated as follows at time t+τ:

Figure GDA00031236098200000914
Figure GDA00031236098200000914

Figure GDA00031236098200000915
Figure GDA00031236098200000915

Figure GDA00031236098200000916
Figure GDA00031236098200000916

基于大尺度损耗考虑距离和路损因子的影响,对散射体可见区域进行划分,我们根据提出模型对应的街区环境特征,选择Hata模型路径损耗公式:Considering the influence of distance and path loss factors based on large-scale loss, the visible area of scatterers is divided. According to the characteristics of the block environment corresponding to the proposed model, we select the path loss formula of the Hata model:

Figure GDA00031236098200000917
Figure GDA00031236098200000917

其中dB是单位,

Figure GDA00031236098200000918
为与接收天线相关的系数,hT、hR分别为发射天线和接收天线的高度,对于中等大小的覆盖范围,
Figure GDA00031236098200000919
取值为:where dB is the unit,
Figure GDA00031236098200000918
are the coefficients related to the receiving antenna, h T and h R are the heights of the transmitting and receiving antennas, respectively. For medium-sized coverage,
Figure GDA00031236098200000919
The value is:

Figure GDA00031236098200000920
Figure GDA00031236098200000920

根据本模型场景特征取hT=hR=0,整理得到本模型路损计算公式:According to the scene characteristics of this model, h T =h R =0 is taken, and the calculation formula of the path loss of this model is obtained:

PLHata(d)[dB]=68.75+27.72log fc+44.9log d (19)PL Hata (d)[dB]=68.75+ 27.72logfc +44.9logd(19)

不计散射点处的功率损耗,得单射路径和双射路径的可见增益计算总式:Disregarding the power loss at the scattering point, the general formula for calculating the visible gain of the single-shot path and the double-shot path is obtained:

Figure GDA0003123609820000101
Figure GDA0003123609820000101

若可见增益大于等于阈值增益,则保留该有效单射路径和双射路径;若可见增益小于阈值增益,则对无效路径进行筛除,计算时空相关函数时对该路径分量不予考虑。If the visible gain is greater than or equal to the threshold gain, the effective single-shot path and the bi-jective path are retained; if the visible gain is less than the threshold gain, the invalid path is screened out, and the path component is not considered when calculating the spatiotemporal correlation function.

时空相关函数可以刻画信道在时间和空间的变化情况,表征信道特性,计算表达式如下:The spatiotemporal correlation function can describe the changes of the channel in time and space, and characterize the channel characteristics. The calculation expression is as follows:

Figure GDA0003123609820000102
Figure GDA0003123609820000102

其中*代表复共轭,E[]表示求均值;ρk′l′p′q′,klpq(t,τ)表示在时刻为t、时延为τ的条件下,从发射端k′行l′列到接收端p′行q′列的信道和从发射端k行l列到接收端p行q列的信道之间的相关函数。

Figure GDA0003123609820000103
表示在时刻为t、时延为τ的条件下,从发射端k′行l′列到接收端p′行q′列的信道冲激响应。Among them, * represents complex conjugate, E[] represents mean value; ρ k'l'p'q',klpq (t,τ) represents that under the condition of time t and delay τ, from the transmitting end k' The correlation function between the channel from column l' to column p' of column q' at the receiving end and the channel from column k, column l of the transmitting end to the channel of column p, column q at the receiving end.
Figure GDA0003123609820000103
It represents the channel impulse response from the transmitting end k' row l' column to the receiving end p' row q' column under the condition of time t and time delay τ.

在传统假设中,模型中的散射体数量趋于无穷,离开角(AoD)和到达角(AoA)均由连续变化的概率密度分布来表示。基于这个假设,上式中的各路径分量分别进行如下展开计算,其中直射路径分量(LoS路径分量):In traditional assumptions, the number of scatterers in the model tends to be infinite, and both the angle of departure (AoD) and the angle of arrival (AoA) are represented by continuously varying probability density distributions. Based on this assumption, each path component in the above formula is calculated as follows, where the direct path component (LoS path component):

Figure GDA0003123609820000104
Figure GDA0003123609820000104

N1’,N2’单射路径分量:N1 ' , N2 ' injective path components:

Figure GDA0003123609820000105
Figure GDA0003123609820000105

N3’单射路径分量:N 3 ' injective path components:

Figure GDA0003123609820000111
Figure GDA0003123609820000111

双射路径分量:Bijective path components:

Figure GDA0003123609820000112
Figure GDA0003123609820000112

考虑实际场景中散射体数量应为有限个,令N1=N2=N3=S,积分形式调整为如下求和式:Considering that the number of scatterers in the actual scene should be limited, let N 1 =N 2 =N 3 =S, and the integral form is adjusted to the following summation formula:

N1单射路径分量:N 1 injective path components:

Figure GDA0003123609820000113
Figure GDA0003123609820000113

N2单射路径分量:N 2 injective path components:

Figure GDA0003123609820000114
Figure GDA0003123609820000114

N3单射路径分量:N 3 injective path components:

Figure GDA0003123609820000115
Figure GDA0003123609820000115

双射路径分量:Bijective path components:

Figure GDA0003123609820000116
Figure GDA0003123609820000116

上述公式参数可以参考前文中的解释;The above formula parameters can refer to the explanation in the previous section;

分别令时延因子τ=0、k′l′p′q′=klpq,时空相关函数可分别简化得到空间相关函数(CCF)和时间相关函数(ACF)。Let the delay factor τ=0 and k′l′p′q′=klpq respectively, the space-time correlation function can be simplified to obtain the spatial correlation function (CCF) and the time correlation function (ACF) respectively.

时空相关函数后可以基于时空相关函数预测通信系统性能,基于时空相关函数验证通信系统性能,基于时空相关函数进行后端信号处理。After the spatiotemporal correlation function, the performance of the communication system can be predicted based on the spatiotemporal correlation function, the performance of the communication system can be verified based on the spatiotemporal correlation function, and the back-end signal processing can be performed based on the spatiotemporal correlation function.

本实施例,利用双环模型和半椭球模型(半椭球模型)结合,探究静止散射体和移动散射体共同作用下信道的变化,对天线采用均匀平面阵列,表征球面波的近场效应。通过不同路径损耗对可见散射区域进行划分,通过改变参数对时空相关函数进行分析。最后效果可由计算机仿真显示。In this embodiment, the combination of the double-ring model and the semi-ellipsoid model (semi-ellipsoid model) is used to explore the change of the channel under the combined action of the static scatterer and the moving scatterer, and a uniform plane array is used for the antenna to characterize the near-field effect of spherical waves. The visible scattering region is divided by different path losses, and the spatiotemporal correlation function is analyzed by changing the parameters. The final effect can be displayed by computer simulation.

本实施例的另一方面,如图3所示,一种车辆到车辆多天线系统的非平稳信道建模装置,包括:Another aspect of this embodiment, as shown in FIG. 3 , is a non-stationary channel modeling apparatus for a vehicle-to-vehicle multi-antenna system, including:

双环模型建立模块1,用于以发射端和接收端为圆心建立双环模型;The double-loop model establishment module 1 is used to establish a double-loop model with the transmitting end and the receiving end as the center of the circle;

半椭球模型建立模块2,用于以发射端和接收端为焦点建立半椭球模型;The semi-ellipsoid model building module 2 is used to establish a semi-ellipsoid model with the transmitting end and the receiving end as the focus;

路径获取模块3,用于基于双环模型和半椭球模型获得直射路径、单射路径和双射路径;The path obtaining module 3 is used to obtain the direct path, the single-shot path and the double-shot path based on the double-ring model and the semi-ellipsoid model;

信道冲激响应函数获取模块4,用于基于直射路径、单射路径和双射路径获得发射端到接收端的信道冲激响应函数;a channel impulse response function acquiring module 4, used for acquiring the channel impulse response function from the transmitter to the receiver based on the direct path, the single-shot path and the dual-shot path;

时空相关函数获取模块5,用于基于信道冲激响应函数获得时空相关函数。The spatiotemporal correlation function obtaining module 5 is used for obtaining the spatiotemporal correlation function based on the channel impulse response function.

可选的,所述路径获取模块,还用于根据Hata模型路径损耗公式计算单射路径和双射路径的可见增益,筛除可见增益小于阈值增益的单射路径和可见增益小于阈值增益的双射路径。Optionally, the path acquisition module is further configured to calculate the visible gain of the single-shot path and the dual-shot path according to the Hata model path loss formula, and filter out the single-shot path with the visible gain less than the threshold gain and the double-shot path with the visible gain less than the threshold gain. shot path.

可选的,装置还包括时空相关函数优化模块,用于令双环模型中各环区域中的散射体数量以及半椭球模型区域中的散射体数量为S,优化时空相关函数。Optionally, the device further includes a spatiotemporal correlation function optimization module, configured to optimize the spatiotemporal correlation function by setting the number of scatterers in each ring region in the double-ring model and the number of scatterers in the semi-ellipsoid model region as S.

可选的,装置还包括处理模块,处理模块用于基于时空相关函数预测通信系统性能,或,基于时空相关函数验证通信系统性能,或,基于时空相关函数进行后端信号处理。Optionally, the apparatus further includes a processing module configured to predict the performance of the communication system based on the spatiotemporal correlation function, or verify the performance of the communication system based on the spatiotemporal correlation function, or perform back-end signal processing based on the spatiotemporal correlation function.

本实施方式中的装置,用于实现上述实施例中的方法,其原理和效果与方法中的一致,本实施方式不再重复描述。The device in this embodiment is used to implement the method in the above-mentioned embodiment, and the principle and effect thereof are the same as those in the method, and the description in this embodiment will not be repeated.

本实施例,针对车辆通信场景,提出了一种基于几何的3D非平稳V2V MIMO通信信道模型,基于均匀平面阵天线配置,利用双环和半椭球模型(半椭球),综合考虑了环境中静止散射体和移动散射体的分布,并对散射体数量做了有限近似处理。同时结合直射路径分量(视距分量)、通过静止散射体的单射分量、通过移动散射体的单射分量和通过移动散射体的二次散射分量,推导了信道冲激响应和时空相关函数表达式,以传输路径功率衰减程度作为依据,设计了散射体可见区域划分算法。最后通过仿真模拟分析了不同参数对信道相关性的影响,结果表明所提出的模型能很好地表征V2V MIMO信道的特性。In this embodiment, for the vehicle communication scenario, a geometry-based 3D non-stationary V2V MIMO communication channel model is proposed. Based on the uniform planar array antenna configuration, the double loop and the semi-ellipsoid model (semi-ellipsoid) are used to comprehensively consider the environment. The distribution of stationary and moving scatterers, with a finite approximation of the number of scatterers. Combined with the direct path component (line-of-sight component), the single-shot component passing through the stationary scatterer, the single-shot component passing through the moving scatterer, and the secondary scattering component passing through the moving scatterer, the channel impulse response and spatiotemporal correlation function expressions are derived Based on the power attenuation degree of the transmission path, the visible area division algorithm of the scatterer is designed. Finally, the effects of different parameters on the channel correlation are analyzed by simulation. The results show that the proposed model can well characterize the characteristics of V2V MIMO channels.

在本说明书的描述中,参考术语“一个实施例/方式”、“一些实施例/方式”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例/方式或示例描述的具体特征、结构、材料或者特点包含于本申请的至少一个实施例/方式或示例中。在本说明书中,对上述术语的示意性表述不必须针对的是相同的实施例/方式或示例。而且,描述的具体特征、结构、材料或者特点可以在任一个或多个实施例/方式或示例中以合适的方式结合。此外,在不相互矛盾的情况下,本领域的技术人员可以将本说明书中描述的不同实施例/方式或示例以及不同实施例/方式或示例的特征进行结合和组合。In the description of this specification, references to the terms "one embodiment/mode", "some embodiments/modes", "example", "specific example", or "some examples", etc. are intended to be combined with the description of the embodiment/mode A particular feature, structure, material, or characteristic described by way of example or example is included in at least one embodiment/mode or example of the present application. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment/mode or example. Furthermore, the particular features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments/means or examples. Furthermore, those skilled in the art may combine and combine the different embodiments/modes or examples described in this specification and the features of the different embodiments/modes or examples without conflicting each other.

此外,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。在本申请的描述中,“多个”的含义是至少两个,例如两个,三个等,除非另有明确具体的限定。In addition, the terms "first" and "second" are only used for descriptive purposes, and should not be construed as indicating or implying relative importance or implying the number of indicated technical features. Thus, a feature delimited with "first", "second" may expressly or implicitly include at least one of that feature. In the description of the present application, "plurality" means at least two, such as two, three, etc., unless expressly and specifically defined otherwise.

本领域的技术人员应当理解,上述实施方式仅仅是为了清楚地说明本公开,而并非是对本公开的范围进行限定。对于所属领域的技术人员而言,在上述公开的基础上还可以做出其它变化或变型,并且这些变化或变型仍处于本公开的范围内。Those skilled in the art should understand that the above-mentioned embodiments are only for clearly illustrating the present disclosure, rather than limiting the scope of the present disclosure. For those skilled in the art, other changes or modifications may also be made on the basis of the above disclosure, and these changes or modifications are still within the scope of the present disclosure.

Claims (4)

1. A method of modeling non-stationary channels of a vehicle-to-vehicle multi-antenna system, comprising:
establishing a double-ring model by taking the transmitting end and the receiving end as circle centers;
establishing a semi-ellipsoid model by taking a transmitting end and a receiving end as focuses;
obtaining a direct path, a single-shot path and a bishot path based on the double-ring model and the semi-ellipsoid model;
calculating the visible gains of the single-ray path and the double-ray path according to a Hata model path loss formula, and screening out the single-ray path and the double-ray path of which the visible gains are smaller than a threshold gain;
obtaining a channel impulse response function from a transmitting end to a receiving end based on a direct path, a single-ray path and a double-ray path;
obtaining a space-time correlation function based on a channel impulse response function;
wherein,
Figure FDA0003123609810000011
Figure FDA0003123609810000012
Figure FDA0003123609810000013
is that k rows and l columns at a transmitting end pass through a static scatterer n under a time variable t3Transmitting end M in direct path component to receiving end p rows and q columnsTOr receiving end MRThe path section on one side of the device,
Figure FDA0003123609810000014
is a direct path section from k rows and l columns of a transmitting end to p rows and q columns of a receiving end under a time variable t,
Figure FDA0003123609810000015
is composed of
Figure FDA0003123609810000016
The angle of elevation of (a) is,
Figure FDA0003123609810000017
is composed of
Figure FDA0003123609810000018
The spatial angle with the x-axis is,
Figure FDA0003123609810000019
is that
Figure FDA00031236098100000110
Azimuth in the x-y plane;
the obtaining the space-time correlation function based on the channel impulse response function comprises:
establishing a space-time function expression:
Figure FDA00031236098100000111
wherein h iskl,pq(t) represents the channel impulse response between k rows and l columns of antenna elements at the transmitting end and p rows and q columns of antenna elements at the receiving end at time t, hk′l′,p′q′(t) represents the channel impulse response from k 'row l' row antenna elements at the transmitting end to p 'row q' row antenna elements at the receiving end at the time t, wherein tau represents time delay, a symbol for solving conjugate complex number, and E represents the mathematical expectation symbol;
obtaining each path component of the space-time expression based on the space-time function expression and the channel impulse response function:
direct path component:
Figure FDA0003123609810000021
N1single-shot path component:
Figure FDA0003123609810000022
N2single-shot path component:
Figure FDA0003123609810000023
N3single-shot path component:
Figure FDA0003123609810000024
bijective path component:
Figure FDA0003123609810000025
wherein N is1Indicating that N is distributed on the ring with the transmitting end as the center1A moving scatterer, n1Number of scatterers on the ring representing multipath2Indicating that N is distributed on the ring with the receiving end as the center2A moving scatterer, n2Number of scatterers on the ring representing multipath3Showing that N is distributed on a semi-ellipsoid taking two circle centers as focuses3A static scatterer, n3Representing the serial number of scatterers on a semi-ellipsoid passed by multipath, and making the number of scatterers in each ring region and the number of scatterers in the semi-ellipsoid model region in a double-ring model be S;
the channel impulse response function is:
Figure FDA0003123609810000026
in the above formula, the first and second carbon atoms are,
Figure FDA0003123609810000027
representing the direct path component;
Figure FDA0003123609810000028
the components of the single-ray path are represented,
Figure FDA0003123609810000029
representing the bijective path component;
wherein,
Figure FDA00031236098100000210
Figure FDA0003123609810000031
Figure FDA0003123609810000032
in the above formula, K is the Rice factor; e is a constant, j represents an imaginary number, t represents a time variable,
Figure FDA0003123609810000033
indicating the doppler shift of the direct path component from k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA0003123609810000034
representing the reception phase of the direct path component between k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA0003123609810000035
represents the doppler shift of the direct path component between k ' rows/columns of antenna elements at time t from the transmitting end to p ' rows q ' columns of antenna elements at the receiving end,
Figure FDA0003123609810000036
representing the receiving phase of a direct path component between k 'rows and l' columns of antenna elements at the transmitting end to p 'rows and q' columns of antenna elements at the receiving end at the time t; piAnd PDBIs a normalized power correlation coefficient satisfying
Figure FDA0003123609810000037
Figure FDA0003123609810000038
Is a scatterer niAnd a transmitting terminal MTMaximum doppler shift in between;
Figure FDA0003123609810000039
is a scatterer niAnd receiving end MRMaximum doppler shift in between;
Figure FDA00031236098100000310
is composed of
Figure FDA00031236098100000311
Azimuth in the x-y plane;
Figure FDA00031236098100000312
the Doppler frequency shift of a non-direct path component between k rows and l columns of antenna elements at a transmitting end and p rows and q columns of antenna elements at a receiving end at the moment t is represented;
Figure FDA00031236098100000313
the receiving phase of a non-direct path component between k rows and l columns of antenna elements at a transmitting end and p rows and q columns of antenna elements at a receiving end at the time t is represented; i is 1,2, 3; NLoS represents a non-line-of-sight component;
Figure FDA00031236098100000314
the Doppler frequency shift of a non-direct bijective path component between the k rows and l columns of antenna elements at the transmitting end and p rows and q columns of antenna elements at the receiving end at the time t is represented;
Figure FDA00031236098100000315
representing the reception phase of the non-direct bijective path component between k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA00031236098100000316
the Doppler frequency shift of a non-direct path component between k 'rows and l' columns of antenna elements at the transmitting end and p 'rows and q' columns of antenna elements at the receiving end at the time t is represented;
Figure FDA00031236098100000317
representing the receiving phase of a non-direct path component between k 'rows and l' columns of antenna elements at the transmitting end and p 'rows and q' columns of antenna elements at the receiving end at the time t;
Figure FDA00031236098100000318
the Doppler frequency shift of a non-direct bijective path component between k 'rows and l' columns of antenna elements at the transmitting end and p 'rows and q' columns of antenna elements at the receiving end at the time t is represented;
Figure FDA00031236098100000319
representing the receive phase of the non-direct bijection path component between k ' rows/columns of antenna elements at time t from the transmitting end to p ' rows q ' columns of antenna elements at the receiving end.
2. The method of claim 1, further comprising predicting communication system performance based on a spatio-temporal correlation function, or verifying communication system performance based on a spatio-temporal correlation function, or performing back-end signal processing based on a spatio-temporal correlation function.
3. A non-stationary channel modeling apparatus for a vehicle-to-vehicle multi-antenna system, comprising:
the double-ring model establishing module is used for establishing a double-ring model by taking the transmitting end and the receiving end as circle centers;
the semi-ellipsoid model establishing module is used for establishing a semi-ellipsoid model by taking the transmitting end and the receiving end as focuses;
the path acquisition module is used for acquiring a direct path, a single-shot path and a bishot path based on the double-ring model and the semi-ellipsoid model; calculating the visible gains of the single-ray path and the double-ray path according to a Hata model path loss formula, and screening out the single-ray path and the double-ray path of which the visible gains are smaller than a threshold gain;
the channel impulse response function acquisition module is used for acquiring a channel impulse response function from a transmitting end to a receiving end based on a direct path, a single-shot path and a double-shot path;
wherein,
Figure FDA0003123609810000041
Figure FDA0003123609810000042
Figure FDA0003123609810000043
is that k rows and l columns at a transmitting end pass through a static scatterer n under a time variable t3Transmitting end M in direct path component to receiving end p rows and q columnsTOr receiving end MRThe path section on one side of the device,
Figure FDA0003123609810000044
is a direct path section from k rows and l columns of a transmitting end to p rows and q columns of a receiving end under a time variable t,
Figure FDA0003123609810000045
is composed of
Figure FDA0003123609810000046
The angle of elevation of (a) is,
Figure FDA0003123609810000047
is composed of
Figure FDA0003123609810000048
The spatial angle with the x-axis is,
Figure FDA0003123609810000049
is that
Figure FDA00031236098100000410
Azimuth in the x-y plane;
a spatio-temporal correlation function acquisition module for
Establishing a space-time function expression:
Figure FDA00031236098100000411
wherein h iskl,pq(t) represents the channel impulse response between k rows and l columns of antenna elements at the transmitting end and p rows and q columns of antenna elements at the receiving end at time t, hk′l′,p′q′(t) represents the channel impulse response from k 'row l' row antenna elements at the transmitting end to p 'row q' row antenna elements at the receiving end at the time t, wherein tau represents time delay, a symbol for solving conjugate complex number, and E represents the mathematical expectation symbol;
obtaining each path component of the space-time expression based on the space-time function expression and the channel impulse response function:
direct path component:
Figure FDA0003123609810000051
N1single-shot path component:
Figure FDA0003123609810000052
N2single-shot path component:
Figure FDA0003123609810000053
N3single-shot path component:
Figure FDA0003123609810000054
bijective path component:
Figure FDA0003123609810000055
wherein N is1Indicating that N is distributed on the ring with the transmitting end as the center1A moving scatterer, n1Number of scatterers on the ring representing multipath2Indicating that N is distributed on the ring with the receiving end as the center2A moving scatterer, n2Number of scatterers on the ring representing multipath3Showing that N is distributed on a semi-ellipsoid taking two circle centers as focuses3A static scatterer, n3Representing the serial number of scatterers on a semi-ellipsoid passed by multipath, and making the number of scatterers in each ring region and the number of scatterers in the semi-ellipsoid model region in a double-ring model be S;
the channel impulse response function is:
Figure FDA0003123609810000056
in the above formula, the first and second carbon atoms are,
Figure FDA0003123609810000057
representing the direct path component;
Figure FDA0003123609810000058
the components of the single-ray path are represented,
Figure FDA0003123609810000059
representing the bijective path component;
wherein,
Figure FDA0003123609810000061
Figure FDA0003123609810000062
Figure FDA0003123609810000063
in the above formula, K is the Rice factor; e is a constant, j represents an imaginary number, t represents a time variable,
Figure FDA0003123609810000064
indicating the doppler shift of the direct path component from k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA0003123609810000065
representing the reception phase of the direct path component between k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA0003123609810000066
represents the doppler shift of the direct path component between k ' rows/columns of antenna elements at time t from the transmitting end to p ' rows q ' columns of antenna elements at the receiving end,
Figure FDA0003123609810000067
representing the receiving phase of a direct path component between k 'rows and l' columns of antenna elements at the transmitting end to p 'rows and q' columns of antenna elements at the receiving end at the time t; piAnd PDBIs a normalized power correlation coefficient satisfying
Figure FDA0003123609810000068
Figure FDA0003123609810000069
Is a scatterer niAnd a transmitting terminal MTMaximum doppler shift in between;
Figure FDA00031236098100000610
is a scatterer niAnd receiving end MRMaximum doppler shift in between;
Figure FDA00031236098100000611
is composed of
Figure FDA00031236098100000612
Azimuth in the x-y plane;
Figure FDA00031236098100000613
the Doppler frequency shift of a non-direct path component between k rows and l columns of antenna elements at a transmitting end and p rows and q columns of antenna elements at a receiving end at the moment t is represented;
Figure FDA00031236098100000614
the receiving phase of a non-direct path component between k rows and l columns of antenna elements at a transmitting end and p rows and q columns of antenna elements at a receiving end at the time t is represented; i is 1,2, 3; NLoS represents a non-line-of-sight component;
Figure FDA00031236098100000615
the Doppler frequency shift of a non-direct bijective path component between the k rows and l columns of antenna elements at the transmitting end and p rows and q columns of antenna elements at the receiving end at the time t is represented;
Figure FDA00031236098100000616
representing the reception phase of the non-direct bijective path component between k rows and l columns of antenna elements at the transmitting end to p rows and q columns of antenna elements at the receiving end at time t,
Figure FDA00031236098100000617
indicating that at time t, the antenna elements are k 'row/column' from the transmitting end to p 'row q' from the receiving end' Doppler shift of the non-direct path component between the column antenna elements;
Figure FDA00031236098100000618
representing the receiving phase of a non-direct path component between k 'rows and l' columns of antenna elements at the transmitting end and p 'rows and q' columns of antenna elements at the receiving end at the time t;
Figure FDA00031236098100000619
the Doppler frequency shift of a non-direct bijective path component between k 'rows and l' columns of antenna elements at the transmitting end and p 'rows and q' columns of antenna elements at the receiving end at the time t is represented;
Figure FDA00031236098100000620
representing the receive phase of the non-direct bijection path component between k ' rows/columns of antenna elements at time t from the transmitting end to p ' rows q ' columns of antenna elements at the receiving end.
4. The apparatus of claim 3, wherein the apparatus further comprises a processing module for predicting communication system performance based on a spatiotemporal correlation function, or verifying communication system performance based on a spatiotemporal correlation function, or performing back-end signal processing based on a spatiotemporal correlation function.
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