Nothing Special   »   [go: up one dir, main page]

CN112737653B - Non-uniform antenna array system design method using spherical wave model - Google Patents

Non-uniform antenna array system design method using spherical wave model Download PDF

Info

Publication number
CN112737653B
CN112737653B CN202011588123.3A CN202011588123A CN112737653B CN 112737653 B CN112737653 B CN 112737653B CN 202011588123 A CN202011588123 A CN 202011588123A CN 112737653 B CN112737653 B CN 112737653B
Authority
CN
China
Prior art keywords
optimal
antenna
capacity
design
uniform
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202011588123.3A
Other languages
Chinese (zh)
Other versions
CN112737653A (en
Inventor
邓志伟
蒲旭敏
陈前斌
冯文婷
谭伟强
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shenzhen Wanzhida Technology Transfer Center Co ltd
Original Assignee
Chongqing University of Post and Telecommunications
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Chongqing University of Post and Telecommunications filed Critical Chongqing University of Post and Telecommunications
Priority to CN202011588123.3A priority Critical patent/CN112737653B/en
Publication of CN112737653A publication Critical patent/CN112737653A/en
Application granted granted Critical
Publication of CN112737653B publication Critical patent/CN112737653B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413—MIMO systems
    • H04B7/0456—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/391—Modelling the propagation channel
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413—MIMO systems
    • H04B7/0426—Power distribution
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00—Reducing energy consumption in communication networks
    • Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Power Engineering (AREA)
  • Radio Transmission System (AREA)

Abstract

The invention relates to the technical field of wireless communication, and discloses a method for designing a non-uniform antenna array system by using a spherical wave model, which comprises the following steps: s1, establishing an antenna array structure of the non-uniform transceiving antenna array; s2, establishing a channel model containing spherical wave characteristics according to the established antenna array architecture; s3, designing the optimal transmitting direction and the power distribution thereof by using the statistical channel information; and S4, finally, based on the maximum capacity criterion, under the optimal transmission strategy, giving the optimal antenna array element design criterion. The invention can provide the antenna design method criterion under different signal-to-noise ratios, so that the performance of the array antenna design method is better than that of other array antenna design methods.

Description

一种利用球面波模型的非均匀天线阵列系统设计方法A Design Method of Non-Uniform Antenna Array System Using Spherical Wave Model

技术领域technical field

本发明涉及无线通信技术领域，尤其涉及一种利用球面波模型的非均匀天线阵列系统设计方法。The invention relates to the technical field of wireless communication, in particular to a method for designing a non-uniform antenna array system using a spherical wave model.

背景技术Background technique

近年来，随着手机、平板等智能终端的广泛普及，移动数据业务量呈现爆炸式增长，而现有的无线通信系统已经逐渐不能满足如此庞大的业务需求。因此，学术界和产业界相继展开了针对第五代移动通信技术(5th Generation,5G)的研究。而大规模MIMO(Multiple Input Multiple Output，MIMO)技术作为5G的关键技术之一，相比现有的第四代移动通信技术(4th Generation,4G)技术，由于其能够非常显著地提升通信系统的频谱效率和能量效率，目前已成为国内外研究的热点。In recent years, with the widespread popularization of smart terminals such as mobile phones and tablets, the amount of mobile data services has exploded, and existing wireless communication systems have gradually been unable to meet such huge service demands. Therefore, academia and industry have successively launched research on the fifth generation mobile communication technology (5th Generation, 5G). As one of the key technologies of 5G, Massive MIMO (Multiple Input Multiple Output, MIMO) technology can significantly improve the performance of the communication system compared to the existing 4th Generation (4G) technology. Spectral efficiency and energy efficiency have become the research hotspots at home and abroad.

在MIMO系统中，使用平面波模型进行通信严重低估了系统的信道容量。相比于平面波，使用球面波模型进行通信可以显著增加系统容量；对于球面波模型的MIMO系统，现有技术大多都是关于均匀天线阵列的设计方案，其设计方案大多研究的都是在直视信道下，对于均匀天线的天线间距、天线方位角、收发天线间的距离等对系统性能的影响。而在三维空间中的均匀天线阵列下，目前也只是研究了系统的最优预编码设计方法。In a MIMO system, using the plane wave model for communication seriously underestimates the channel capacity of the system. Compared with plane waves, using the spherical wave model for communication can significantly increase the system capacity; for the MIMO system of the spherical wave model, most of the existing technologies are about the design scheme of uniform antenna arrays, and most of the design schemes are studied in direct view. Under the channel, the antenna spacing, antenna azimuth angle, and distance between transmitting and receiving antennas of uniform antennas affect the system performance. However, under the uniform antenna array in the three-dimensional space, only the optimal precoding design method of the system has been studied at present.

但是如何在莱斯信道下研究非均匀线性天线阵列设计以及预编码设计方法，以及如何设计非均匀天线的摆放位置，是本领域一直需要解决的技术问题。However, how to study the non-uniform linear antenna array design and precoding design method under the Rice channel, and how to design the placement position of the non-uniform antenna are technical problems that need to be solved in the art.

发明内容SUMMARY OF THE INVENTION

有鉴于此，本发明的目的是提供一种利用球面波模型的非均匀天线阵列系统设计方法，能够给出在不同信噪比下，天线设计方法准则，使得阵列天线设计方法比其他的阵列天线的设计方法性能更优。In view of this, the purpose of the present invention is to provide a non-uniform antenna array system design method using a spherical wave model, which can give the antenna design method criteria under different signal-to-noise ratios, so that the array antenna design method is better than other array antennas. The design method has better performance.

本发明通过以下技术手段解决上述技术问题：The present invention solves the above-mentioned technical problems through the following technical means:

一种利用球面波模型的非均匀天线阵列系统设计方法，其特征在于：依据球面波模型设计非均匀天线阵列系统的预编码及阵列天线设计方式，具体包括以下步骤：A method for designing a non-uniform antenna array system using a spherical wave model, characterized in that: designing a precoding and array antenna design method for a non-uniform antenna array system according to the spherical wave model, specifically comprising the following steps:

S1、建立收发均为非均匀天线阵列的天线阵列架构，并且根据球面波模型建立信号模型；S1. Establish an antenna array structure in which both transceivers are non-uniform antenna arrays, and establish a signal model according to a spherical wave model;

S2、建立信道模型，并假设接收端知道信道全部的状态信息，发射端知道信道的统计状态信息，得出系统容量表达式为：S2. Establish a channel model, and assume that the receiving end knows all the state information of the channel, and the transmitting end knows the statistical state information of the channel, and the system capacity expression is obtained as:

Figure GDA0003474374730000021
Figure GDA0003474374730000021

其中，Q是发射信号的相关矩阵Q＝E{SSH}，ρ为ES/N0，U是

Figure GDA0003474374730000022
的特征向量矩阵，Λ是
Figure GDA0003474374730000023
特征分解对角矩阵，ΛQ是Q的特征分解对角矩阵；Among them, Q is the correlation matrix of the transmitted signal Q=E{SS H }, ρ is E S /N 0 , U is
Figure GDA0003474374730000022
The eigenvector matrix of , Λ is
Figure GDA0003474374730000023
Eigendecomposition diagonal matrix, Λ Q is the eigendecomposition diagonal matrix of Q;

利用Jensen不等式，利用统计信息推导信道遍历容量上界为：Using Jensen's inequality and using statistical information to derive the upper bound of the channel traversal capacity as:

Figure GDA0003474374730000024
Figure GDA0003474374730000024

S3、设计2发M收系统的最优发射方向：利用统计信息，求得2发M收非均匀天线阵列系统最优发射方向式及最优功率分配方案，具体包括以下步骤：根据接收信号表达式，推导最优的发射方向为信道响应矩阵右奇异矩阵，利用矩阵分析知识求解2发M收非均匀线性天线阵列系统传输矩阵右奇异矩阵；证明容量上界表达式是关于功率的凸函数，利用KKT条件求解最优的功率分配方案；S3. Design the optimal transmission direction of the 2-transmit, M-receive system: use the statistical information to obtain the optimal transmission direction and optimal power distribution scheme of the 2-transmit, M-receive non-uniform antenna array system, which specifically includes the following steps: expressing according to the received signal Formula, derive the optimal transmission direction as the right singular matrix of the channel response matrix, and use the knowledge of matrix analysis to solve the right singular matrix of the transmission matrix of the 2-transmit, M-receive non-uniform linear antenna array system; prove that the upper bound expression of the capacity is a convex function of power, Use KKT conditions to solve the optimal power distribution scheme;

S4、根据功率分配方案后容量闭式解，求解不同信噪比下阵列天线设计方法具体包括以下步骤：分析容量闭式解凹凸性，得出闭式解是个复合函数，根据复合函数中的子函数的单调性得出非均匀阵列天线参数取端点值容量最大结论；依据容量闭式解函数性质，判断不同信燥比条件下容量函数子函数单调性，确定系统最优非线均匀阵列天线参数取值；S4. According to the closed-form solution of the capacity after the power distribution scheme, the method for solving the array antenna design under different signal-to-noise ratios specifically includes the following steps: analyzing the concavo-convexity of the closed-form capacity solution, it is concluded that the closed-form solution is a composite function, and according to the sub-functions in the composite function The monotonicity of the function leads to the conclusion that the parameters of the non-uniform array antenna take the end value and the maximum capacity; according to the properties of the closed-form solution function of the capacity, the monotonicity of the sub-function of the capacity function under different signal-to-noise ratio conditions is judged, and the optimal non-linear uniform array antenna parameters of the system are determined. value;

S5、依据最优发射策略，设计最优的阵列天线分布；将发射功率分配方案进行闭式解分析，根据不同信噪比，进行天线方法的设计；具体如下：S5. Design the optimal array antenna distribution according to the optimal transmission strategy; carry out a closed-form solution analysis of the transmission power distribution scheme, and design the antenna method according to different signal-to-noise ratios; the details are as follows:

当

Figure GDA0003474374730000031
最优的非规则天线阵列的设计准则如下：when
Figure GDA0003474374730000031
The design criteria for the optimal irregular antenna array are as follows:

Figure GDA0003474374730000032
Figure GDA0003474374730000032

当满足

Figure GDA0003474374730000033
并且
Figure GDA0003474374730000034
最优的非规则天线阵列的设计准则如下：when satisfied
Figure GDA0003474374730000033
and
Figure GDA0003474374730000034
The design criteria for the optimal irregular antenna array are as follows:

Figure GDA0003474374730000035
Figure GDA0003474374730000035

当满足

Figure GDA0003474374730000036
或者
Figure GDA0003474374730000037
且
Figure GDA0003474374730000038
时，这个最优的天线设计准则为：when satisfied
Figure GDA0003474374730000036
or
Figure GDA0003474374730000037
and
Figure GDA0003474374730000038
When , the optimal antenna design criterion is:

Figure GDA0003474374730000039
Figure GDA0003474374730000039

进一步，所述步骤S3中，依据当信号最优发射方向等于信道响应协方差矩阵的特征向量矩阵式，信号的系统性能达到最优，得出系统最优发射方向为Further, in the step S3, according to the eigenvector matrix formula when the optimal transmission direction of the signal is equal to the channel response covariance matrix, the system performance of the signal is optimal, and the optimal transmission direction of the system is obtained:

Figure GDA00034743747300000310
Figure GDA00034743747300000310

其中in

Figure GDA00034743747300000311
Figure GDA00034743747300000311

其中，Lt、Lr分别表示发射和接收天线阵列的长度，λ表示信号的波长,D表示天线阵列之间的距离，αr,l表示第l个接收天线距离起点位置的归一化位置。Among them, L t and L r represent the lengths of the transmitting and receiving antenna arrays respectively, λ represents the wavelength of the signal, D represents the distance between the antenna arrays, α r,l represents the normalized position of the lth receiving antenna from the starting point. .

进一步，所述步骤S3中，根据统计信息求得的容量上界，得出使容量最优的2发M收系统发射天线功率分配方案；具体如下：Further, in the step S3, according to the upper bound of the capacity obtained from the statistical information, the transmission antenna power allocation scheme of the 2-transmit and M-receive system with the optimal capacity is obtained; the details are as follows:

当

Figure GDA0003474374730000041
时，最优的功率分配方案为when
Figure GDA0003474374730000041
When , the optimal power allocation scheme is

Figure GDA0003474374730000042
Figure GDA0003474374730000042

Figure GDA0003474374730000043
Figure GDA0003474374730000043

其中in

Figure GDA0003474374730000044
Figure GDA0003474374730000044

当

Figure GDA0003474374730000045
时，最优的功率分配方案为
Figure GDA0003474374730000046
when
Figure GDA0003474374730000045
When , the optimal power allocation scheme is
Figure GDA0003474374730000046

本发明的有益效果：Beneficial effects of the present invention:

在非规则阵列天线系统下，本发明利用球面波特征的非均匀天线阵列设计方法比现有等功率下预编码方案性能更优，并且在不同信噪比下，本发明给出的阵列天线设计方法比现有的阵列天线的设计方法性能优。Under the irregular array antenna system, the non-uniform antenna array design method utilizing spherical wave characteristics of the present invention has better performance than the existing precoding scheme under equal power, and under different signal-to-noise ratios, the array antenna design provided by the present invention is The method has better performance than the existing array antenna design methods.

附图说明Description of drawings

图1是本发明在三维空间中的非均匀天线阵列图；Fig. 1 is a non-uniform antenna array diagram of the present invention in three-dimensional space;

图2是本发明的莱斯信道系统下等功率与非等功率分配对比图；Fig. 2 is the lower equal power and the non-equal power distribution comparison diagram of the Rice channel system of the present invention;

图3是信噪比不同不同阵列天线设计方法的系统性能对比图。Figure 3 is a system performance comparison diagram of different array antenna design methods with different signal-to-noise ratios.

其中，图1中TX、RX分别表示发射和接收天线阵列，θt、θr分别表示发射天线阵列和接收天线阵列与纵轴的夹角，D表示发射天线阵列与接收天线阵列之间的距离，φr表示就收天线阵列投影与水平线的夹角。Among them, T X and R X in Fig. 1 represent the transmitting and receiving antenna arrays, respectively, θ t and θ r represent the angle between the transmitting antenna array and the receiving antenna array and the vertical axis, respectively, and D represents the distance between the transmitting antenna array and the receiving antenna array. distance, φ r represents the angle between the projection of the receiving antenna array and the horizontal line.

具体实施方式Detailed ways

以下将结合附图对本发明进行详细说明：The present invention will be described in detail below in conjunction with the accompanying drawings:

如图1-3所示：As shown in Figure 1-3:

实施例1、Embodiment 1,

本实施例采用在天线数为4、24和100时，进行利用球面波特征的非均匀天线阵方法设计方案，如图1所示，包括以下步骤：In this embodiment, when the number of antennas is 4, 24 and 100, a non-uniform antenna array method design scheme utilizing spherical wave characteristics is adopted, as shown in FIG. 1 , including the following steps:

S1、建立非均匀收发天线阵列的天线阵列架构，并且根据球面波模型建立信号模型，具体为如下：S1. Establish an antenna array structure of a non-uniform transceiver antenna array, and establish a signal model according to the spherical wave model, as follows:

Figure GDA0003474374730000051
Figure GDA0003474374730000051

其中，

Figure GDA0003474374730000052
是接收信号向量，ES是单位周期内发射信号的总能量，
Figure GDA0003474374730000053
是信道响应矩阵,
Figure GDA0003474374730000054
是发送信号向量,
Figure GDA0003474374730000055
是独立同分布的复加性高斯白噪声向量；in,
Figure GDA0003474374730000052
is the received signal vector, E S is the total energy of the transmitted signal per unit period,
Figure GDA0003474374730000053
is the channel response matrix,
Figure GDA0003474374730000054
is the transmitted signal vector,
Figure GDA0003474374730000055
is an independent and identically distributed complex additive white Gaussian noise vector;

S2、建立信道模型，具体为如下：S2. Establish a channel model, which is as follows:

Figure GDA0003474374730000056
Figure GDA0003474374730000056

其中，

Figure GDA0003474374730000057
是莱斯信道中直射路径的信道响应矩阵，
Figure GDA0003474374730000058
是莱斯信道中散射路径的信道响应矩阵，K代表直射路径和散射路径的功率之比；in,
Figure GDA0003474374730000057
is the channel response matrix of the direct path in the Rice channel,
Figure GDA0003474374730000058
is the channel response matrix of the scattered path in the Rice channel, and K represents the power ratio of the direct path and the scattered path;

并假设接收端知道信道全部的状态信息，发射端知道信道的统计状态信息，则系统容量表达式如下公式：And assuming that the receiving end knows all the state information of the channel, and the transmitting end knows the statistical state information of the channel, the system capacity expression is as follows:

Figure GDA0003474374730000061
Figure GDA0003474374730000061

其中，Q是发射信号的相关矩阵Q＝E{SSH}，ρ为ES/N0，U是

Figure GDA0003474374730000062
的特征向量矩阵，Λ是
Figure GDA0003474374730000063
特征分解对角矩阵，ΛQ是Q的特征分解对角矩阵；Among them, Q is the correlation matrix of the transmitted signal Q=E{SS H }, ρ is E S /N 0 , U is
Figure GDA0003474374730000062
The eigenvector matrix of , Λ is
Figure GDA0003474374730000063
Eigendecomposition diagonal matrix, Λ Q is the eigendecomposition diagonal matrix of Q;

利用Jensen不等式，信道遍历容量上界如下公式：Using Jensen's inequality, the upper bound of the channel traversal capacity is as follows:

Figure GDA0003474374730000064
Figure GDA0003474374730000064

S3、依据当信号最优发射方向等于信道响应协方差矩阵的特征向量矩阵式，信号的系统性能达到最优，得出2发M收系统最优发射方向为S3. According to the eigenvector matrix formula when the optimal transmission direction of the signal is equal to the channel response covariance matrix, the system performance of the signal is optimal, and the optimal transmission direction of the 2-transmit M-receive system is obtained as

Figure GDA0003474374730000065
Figure GDA0003474374730000065

其中in

Figure GDA0003474374730000066
Figure GDA0003474374730000066

S4根据利用统计信息求得的容量上界，得出使容量最优的2发M收系统发射天线功率分配方案；具体如下：S4 According to the upper bound of the capacity obtained by using the statistical information, the transmission antenna power allocation scheme of the 2-transmitting-M-receiver system with the optimal capacity is obtained; the details are as follows:

当

Figure GDA0003474374730000067
时，最优的功率分配方案为when
Figure GDA0003474374730000067
When , the optimal power allocation scheme is

Figure GDA0003474374730000068
Figure GDA0003474374730000068

Figure GDA0003474374730000069
Figure GDA0003474374730000069

其中in

Figure GDA0003474374730000071
Figure GDA0003474374730000071

当

Figure GDA0003474374730000072
时，最优的功率分配方案为when
Figure GDA0003474374730000072
When , the optimal power allocation scheme is

Figure GDA0003474374730000073
Figure GDA0003474374730000073

实施例2Example 2

实施例2与实施例1对比，其区别仅仅在于，在进行天线方法的设计。Comparing Embodiment 2 with Embodiment 1, the only difference is that the antenna method is designed.

本实施例中当满足

Figure GDA0003474374730000074
时，最优的非均匀接收天线阵列的设计方法如下：In this embodiment, when the
Figure GDA0003474374730000074
When , the optimal non-uniform receiving antenna array design method is as follows:

Figure GDA0003474374730000075
Figure GDA0003474374730000075

实施例3Example 3

实施例3与实施例1对比，其区别仅仅在于，在进行天线方法的设计。Comparing Embodiment 3 with Embodiment 1, the only difference is that the antenna method is designed.

本实施例中当满足

Figure GDA0003474374730000076
且
Figure GDA0003474374730000077
时，最优的接收天线设计方法为：In this embodiment, when the
Figure GDA0003474374730000076
and
Figure GDA0003474374730000077
When , the optimal receiving antenna design method is:

Figure GDA0003474374730000078
Figure GDA0003474374730000078

实施例4Example 4

实施例4与实施例1对比，其区别仅仅在于，在进行天线方法的设计。Comparing Embodiment 4 with Embodiment 1, the only difference is that the antenna method is designed.

本实施例中当满足

Figure GDA0003474374730000079
或者
Figure GDA00034743747300000710
且
Figure GDA00034743747300000711
时，这个最优的天线设计方法如下公式：In this embodiment, when the
Figure GDA0003474374730000079
or
Figure GDA00034743747300000710
and
Figure GDA00034743747300000711
When , the optimal antenna design method is as follows:

Figure GDA0003474374730000081
Figure GDA0003474374730000081

对比实施例Comparative Example

对比实施例同样选择天线数为4、24、200时，在莱斯信道系统下，采用现有的非等功率的分配方法进行天线的设计。In the comparative embodiment, when the number of antennas is also selected to be 4, 24, and 200, under the Rice channel system, the existing unequal power distribution method is used to design the antennas.

最终如图2所示，在天线数为4、24、200时，在莱斯信道系统下采用我们提出的非等功率分配算法比传统的等功率分配算法性能得到提升；系统性能随着信噪比的增加而增加。Finally, as shown in Figure 2, when the number of antennas is 4, 24, and 200, the performance of our proposed unequal power allocation algorithm in the Rice channel system is improved compared with the traditional equal power allocation algorithm; the system performance increases with the signal-to-noise ratio. increased with the increase of the ratio.

如图3所示，在接收天线数为4的情况下不同非均匀天线设计方法下系统性能随着信噪比的不同的变化。从图中可以明显看出在低信噪比下天线设计方法为实施例2中的天线设计方法时性能最优，在高信噪比下天线设计方法采用实施例3的方法进行设计时，系统的性能最优。As shown in Figure 3, when the number of receiving antennas is 4, the system performance varies with the signal-to-noise ratio under different non-uniform antenna design methods. It can be clearly seen from the figure that the antenna design method in Embodiment 2 has the best performance under low signal-to-noise ratio. the best performance.

以上实施例仅用以说明本发明的技术方案而非限制，尽管参照较佳实施例对本发明进行了详细说明，本领域的普通技术人员应当理解，可以对本发明的技术方案进行修改或者等同替换，而不脱离本发明技术方案的宗旨和范围，其均应涵盖在本发明的权利要求范围当中。本发明未详细描述的技术、形状、构造部分均为公知技术。The above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be modified or equivalently replaced. Without departing from the spirit and scope of the technical solutions of the present invention, all of them should be included in the scope of the claims of the present invention. The technology, shape, and structural part that are not described in detail in the present invention are all well-known technologies.

Claims (1)

1.一种利用球面波模型的非均匀天线阵列系统设计方法，其特征在于：依据球面波模型设计非均匀天线阵列系统的预编码及阵列天线设计方式，具体包括以下步骤：1. a non-uniform antenna array system design method utilizing spherical wave model, is characterized in that: according to the precoding of spherical wave model design non-uniform antenna array system and array antenna design mode, specifically comprise the following steps: S1、建立收发均为非均匀天线阵列的天线阵列架构，并且根据球面波模型建立信号模型；S1. Establish an antenna array structure in which both transceivers are non-uniform antenna arrays, and establish a signal model according to a spherical wave model; S2、建立信道模型，并假设接收端知道信道全部的状态信息，发射端知道信道的统计状态信息，得出系统容量表达式为：S2. Establish a channel model, and assume that the receiving end knows all the state information of the channel, and the transmitting end knows the statistical state information of the channel, and the system capacity expression is obtained as:
Figure FDA0003371186990000011
Figure FDA0003371186990000011
 其中，Q是发射信号的相关矩阵Q＝E{SSH}，ρ为ES/N0，U是
Figure FDA0003371186990000012
的特征向量矩阵，Λ是
Figure FDA0003371186990000013
特征分解对角矩阵，ΛQ是Q的特征分解对角矩阵；Among them, Q is the correlation matrix of the transmitted signal Q=E{SS H }, ρ is E S /N 0 , U is
Figure FDA0003371186990000012
The eigenvector matrix of , Λ is
Figure FDA0003371186990000013
Eigendecomposition diagonal matrix, Λ Q is the eigendecomposition diagonal matrix of Q; 利用Jensen不等式，利用统计信息推导信道遍历容量上界为：Using Jensen's inequality and using statistical information to derive the upper bound of the channel traversal capacity as:
Figure FDA0003371186990000014
Figure FDA0003371186990000014
 S3、设计2发M收系统的最优发射方向：利用统计信息，求得2发M收非均匀天线阵列系统最优发射方向式及最优功率分配方案，具体包括以下步骤：根据接收信号表达式，推导最优的发射方向为信道响应矩阵右奇异矩阵，利用矩阵分析求解2发M收非均匀线性天线阵列系统传输矩阵右奇异矩阵；证明容量上界表达式是关于功率的凸函数，利用KKT条件求解最优的功率分配方案；S3. Design the optimal transmission direction of the 2-transmit, M-receive system: use the statistical information to obtain the optimal transmission direction and optimal power distribution scheme of the 2-transmit, M-receive non-uniform antenna array system, which specifically includes the following steps: expressing according to the received signal Formula, derive the optimal transmission direction as the right singular matrix of the channel response matrix, and use the matrix analysis to solve the right singular matrix of the transmission matrix of the 2-transmit, M-receive non-uniform linear antenna array system; prove that the upper bound expression of the capacity is a convex function of power, using KKT conditions to solve the optimal power distribution scheme; S4、根据功率分配方案后容量闭式解，求解不同信噪比下阵列天线设计方法，具体包括以下步骤：分析容量闭式解凹凸性，得出闭式解复合函数，根据复合函数中的子函数的单调性得出非均匀阵列天线参数取端点值容量最大结论；依据容量闭式解函数性质，判断不同信燥比条件下容量函数子函数单调性，确定系统最优非线均匀阵列天线参数取值；S4. According to the post-capacity closed-form solution of the power distribution scheme, solve the design method of the array antenna under different signal-to-noise ratios, which specifically includes the following steps: analyzing the concave-convexity of the capacity closed-form solution, and obtaining a closed-form solution composite function, according to the sub-components in the composite function The monotonicity of the function leads to the conclusion that the parameters of the non-uniform array antenna take the end value and the maximum capacity; according to the properties of the closed-form solution function of the capacity, the monotonicity of the sub-function of the capacity function under different signal-to-noise ratio conditions is judged, and the optimal non-linear uniform array antenna parameters of the system are determined. value; S5、依据最优发射策略，设计最优的阵列天线分布；将发射功率分配方案进行闭式解分析，根据不同信噪比，进行天线方法的设计；具体如下：S5. Design the optimal array antenna distribution according to the optimal transmission strategy; carry out a closed-form solution analysis of the transmission power distribution scheme, and design the antenna method according to different signal-to-noise ratios; the details are as follows: 当
Figure FDA0003371186990000021
最优的非规则天线阵列的设计准则如下：when
Figure FDA0003371186990000021
The design criteria for the optimal irregular antenna array are as follows:
Figure FDA0003371186990000022
Figure FDA0003371186990000022
 当满足
Figure FDA0003371186990000023
并且
Figure FDA0003371186990000024
最优的非规则天线阵列的设计准则如下：when satisfied
Figure FDA0003371186990000023
and
Figure FDA0003371186990000024
The design criteria for the optimal irregular antenna array are as follows:
Figure FDA0003371186990000025
Figure FDA0003371186990000025
 当满足
Figure FDA0003371186990000026
或者
Figure FDA0003371186990000027
且
Figure FDA0003371186990000028
时，这个最优的天线设计准则为：when satisfied
Figure FDA0003371186990000026
or
Figure FDA0003371186990000027
and
Figure FDA0003371186990000028
When , the optimal antenna design criterion is:
Figure FDA0003371186990000029
Figure FDA0003371186990000029
 所述步骤S3中推到最优的发射方向具体为：依据当信号最优发射方向等于信道响应协方差矩阵的特征向量矩阵式，信号的系统性能达到最优，得出系统最优发射方向为The optimal transmission direction in step S3 is specifically: according to the eigenvector matrix formula when the optimal transmission direction of the signal is equal to the channel response covariance matrix, the system performance of the signal is optimal, and the optimal transmission direction of the system is obtained as:
Figure FDA00033711869900000210
Figure FDA00033711869900000210
 其中in
Figure FDA00033711869900000211
Figure FDA00033711869900000211
 其中，Lt、Lr分别表示发射和接收天线阵列的长度，λ表示信号的波长,D表示天线阵列之间的距离，αr,l表示第l个接收天线距离起点位置的归一化位置；Among them, L t and L r represent the lengths of the transmitting and receiving antenna arrays respectively, λ represents the wavelength of the signal, D represents the distance between the antenna arrays, α r,l represents the normalized position of the lth receiving antenna from the starting point. ; 所述步骤S3中求解最优的功率分配方案具体为，根据统计信息求得的容量上界，得出使容量最优的2发M收系统发射天线功率分配方案；具体如下：In the step S3, finding the optimal power allocation scheme is specifically, according to the upper bound of the capacity obtained from the statistical information, to obtain the transmission antenna power allocation scheme of the 2-transmit, M-receive system with the optimal capacity; the details are as follows: 当
Figure FDA0003371186990000031
时，最优的功率分配方案为when
Figure FDA0003371186990000031
When , the optimal power allocation scheme is
Figure FDA0003371186990000032
Figure FDA0003371186990000032
Figure FDA0003371186990000033
Figure FDA0003371186990000033
 其中in
Figure FDA0003371186990000034
Figure FDA0003371186990000034
 当
Figure FDA0003371186990000035
时，最优的功率分配方案为when
Figure FDA0003371186990000035
When , the optimal power allocation scheme is
Figure FDA0003371186990000036
Figure FDA0003371186990000036
CN202011588123.3A 2020-12-28 2020-12-28 Non-uniform antenna array system design method using spherical wave model Active CN112737653B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202011588123.3A CN112737653B (en) 2020-12-28 2020-12-28 Non-uniform antenna array system design method using spherical wave model

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202011588123.3A CN112737653B (en) 2020-12-28 2020-12-28 Non-uniform antenna array system design method using spherical wave model

Publications (2)

Publication Number Publication Date
CN112737653A CN112737653A (en) 2021-04-30
CN112737653B true CN112737653B (en) 2022-03-25

Family

ID=75607076

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202011588123.3A Active CN112737653B (en) 2020-12-28 2020-12-28 Non-uniform antenna array system design method using spherical wave model

Country Status (1)

Country Link
CN (1) CN112737653B (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114389660B (en) * 2021-12-02 2023-04-07 重庆邮电大学 Transmission method containing spherical wave characteristics in super-large-scale MIMO
CN114520682B (en) * 2022-01-14 2023-05-12 重庆邮电大学 Low-complexity signal detection method utilizing spherical wave characteristics in ultra-large-scale MIMO
CN114553275B (en) * 2022-03-02 2022-11-22 西安科技大学 An improved codebook design method and device suitable for non-uniform line/area array MIMO systems

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103746729A (en) * 2013-12-25 2014-04-23 河海大学 Distributed MIMO system base station side antenna position optimization method
CN105205253A (en) * 2015-09-18 2015-12-30 电子科技大学 Optimization method of sparse circular antenna array
CN107248877A (en) * 2017-05-22 2017-10-13 西安电子科技大学 MassiveMIMO channel modeling methods based on measured data
US9800396B1 (en) * 2016-12-16 2017-10-24 Industrial Technology Research Institute Transmitter and receiver
CN108199794A (en) * 2018-03-05 2018-06-22 南京邮电大学 A kind of statistical modeling method of novel Massive mimo channels model
CN108830009A (en) * 2018-06-28 2018-11-16 西安电子科技大学 A kind of focusing transmission reflective array antenna design method of unequal power distribution

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2012129850A1 (en) * 2011-03-30 2012-10-04 中兴通讯股份有限公司 Method for reconstructing outer mode field of multiple input multiple output antenna channels
CN102738583B (en) * 2012-06-06 2014-04-09 北京航空航天大学 Phased-array antenna beam control system based on distribution-centralization type beam control mode

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103746729A (en) * 2013-12-25 2014-04-23 河海大学 Distributed MIMO system base station side antenna position optimization method
CN105205253A (en) * 2015-09-18 2015-12-30 电子科技大学 Optimization method of sparse circular antenna array
US9800396B1 (en) * 2016-12-16 2017-10-24 Industrial Technology Research Institute Transmitter and receiver
CN107248877A (en) * 2017-05-22 2017-10-13 西安电子科技大学 MassiveMIMO channel modeling methods based on measured data
CN108199794A (en) * 2018-03-05 2018-06-22 南京邮电大学 A kind of statistical modeling method of novel Massive mimo channels model
CN108830009A (en) * 2018-06-28 2018-11-16 西安电子科技大学 A kind of focusing transmission reflective array antenna design method of unequal power distribution

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
Lei Yang ; Xumin Pu ; Jide Yuan ; Shi Jin ; Qianbin Chen.Optimal Precoding Design for Uniform Linear Antenna Arrays with the Spherical-Wave Model.《 2019 IEEE/CIC International Conference on Communications in China (ICCC)》.2019, *
Xumin Pu ; Qianbin Chen ; Shihai Shao ; Rong Chai ; Youxi Tang.Transmit Design for Short-Range MIMO Channels With the Spherical-Wave Model.《 IEEE Communications Letters ( Volume: 21, Issue: 8, Aug. 2017)》.2017, *
基于特征基函数的球面共形微带天线阵列分析;于涛，尹成友，刘汉;《物理学报》;20150122;全文 *

Also Published As

Publication number Publication date
CN112737653A (en) 2021-04-30

Similar Documents

Publication Publication Date Title
CN112737653B (en) Non-uniform antenna array system design method using spherical wave model
CN111294096B (en) Channel capacity optimization method of intelligent reflector MISO wireless communication system
CN102104193B (en) Multiple input multiple output antenna system
CN102164374B (en) Method, device and system for processing beam searching
CN110417444B (en) Millimeter wave channel beam training method based on deep learning
CN114826450B (en) Statistical channel-based traversal rate analysis method and phase optimization method in STAR-RIS auxiliary NOMA system
CN113225112B (en) Millimeter wave combined beam selection and power distribution optimization method
CN115642941B (en) Transmitting beam forming method of multi-antenna integrated system
CN114726410B (en) A non-uniform beam spatial modulation method and system suitable for multi-antenna communication and sensing integration
CN112272418B (en) A RIS-assisted D2D communication transmission mode selection method
CN111277314A (en) Antenna routing method and related device
CN110649943B (en) A beam scanning method for designing beam width by stacking multiple sub-beams
CN115173901A (en) IRS (intelligent communications system) -assisted MISO (multiple input single output) wireless energy-carrying communication system energy efficiency maximization method
CN117498900A (en) Resource allocation device and method for decellularized massive MIMO synaesthesia integrated system
CN113766526A (en) RIS-based OFDM communication frequency spectrum resource management system and method
CN112563742A (en) Novel broadband decoupling antenna housing
CN114513237B (en) A sub-array structure design method for large-scale array communication
CN110233649B (en) Dynamic subarray design method based on millimeter wave MIMO system
CN114765785B (en) Multi-intelligent reflecting surface selection method based on maximum signal-to-noise ratio
CN117792453A (en) Honeycomb-free terahertz antenna transmission selection method based on leaky-wave antenna
CN113315556B (en) Two-stage power distribution method suitable for compact array Massive MIMO system
CN114389660B (en) Transmission method containing spherical wave characteristics in super-large-scale MIMO
CN114039638B (en) Combined design method of hybrid beam shaper and analog-to-digital converter
CN114828151A (en) Interruption probability and traversal capacity performance analysis method of STAR-RIS auxiliary NOMA system under hardware damage
CN111130611B (en) Improved distributed MIMO system antenna selection decrement algorithm

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
TR01 Transfer of patent right

Effective date of registration: 20240613

Address after: 1003, Building A, Zhiyun Industrial Park, No. 13 Huaxing Road, Henglang Community, Dalang Street, Longhua District, Shenzhen City, Guangdong Province, 518000

Patentee after: Shenzhen Wanzhida Technology Transfer Center Co.,Ltd.

Country or region after: China

Address before: Chongqing University of Posts and telecommunications, No.2 Chongwen Road, Nan'an District, Chongqing 400065

Patentee before: CHONGQING University OF POSTS AND TELECOMMUNICATIONS

Country or region before: China

TR01 Transfer of patent right