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CN112994764B - Position and transmitting-receiving precoding design method in HAP (Hap-assisted multi-pair) relay communication - Google Patents

Position and transmitting-receiving precoding design method in HAP (Hap-assisted multi-pair) relay communication Download PDF

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CN112994764B
CN112994764B CN202110153597.3A CN202110153597A CN112994764B CN 112994764 B CN112994764 B CN 112994764B CN 202110153597 A CN202110153597 A CN 202110153597A CN 112994764 B CN112994764 B CN 112994764B
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CN112994764A (en
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张军
张晗
张琦
成聿伦
吕文俊
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Nanjing University of Posts and Telecommunications
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621Feedback content
    • H04B7/0626Channel coefficients, e.g. channel state information [CSI]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/18502Airborne stations
    • H04B7/18504Aircraft used as relay or high altitude atmospheric platform
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0204Channel estimation of multiple channels
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0224Channel estimation using sounding signals

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Abstract

The invention provides a position and transmitting-receiving precoding design method in HAP auxiliary multi-pair relay communication, and the wireless transmission method mainly comprises the following steps: a user sends an uplink pilot signal to an HAP, and the HAP receives and carries out channel estimation on the uplink pilot signal sent by the user so as to acquire partial channel state information of the user; and the HAP calculates a receiving and transmitting precoding matrix by using the partial channel state information of the user, calculates the position of the HAP based on a maximized system and rate, and amplifies and transmits a signal to be transmitted by a transmitting end user to a target user. The method is simple to operate and practical in fitting, provides wide-range reliable communication for ground users, ensures quick and accurate information transfer between the ground users, and has important practical significance for the mobile relay auxiliary multi-antenna communication system.

Description

HAP辅助多对中继通信中的位置与收发预编码设计方法Location and Transceiver Precoding Design Method in HAP-assisted Multi-Pair Relay Communication

技术领域technical field

本发明属于无线通信技术领域,具体涉及一种基于部分CSI的HAP辅助多对中继通信中的位置与收发预编码设计方法。The invention belongs to the technical field of wireless communication, and in particular relates to a method for designing position and transceiving precoding in HAP-assisted multi-pair relay communication based on partial CSI.

背景技术Background technique

随着无线通信技术的飞速发展,高空无人平台(high altitude platform,HAP)通信系统近年来受到广泛关注,是一种新兴无线通信系统。HAP通信系统主要是指利用具备一定有效载荷并配备有天线的HAP,为地面用户提供通信服务的系统,类似于低轨卫星通信系统。但相较于低轨卫星,HAP有移动快速、可操控性强和实施成本低等优点,可以随时向潜在的地面用户移动,通过实时的动态调整来更好地适应通信环境,从而有效地增强局部地区的通信质量。因此,即便是在发生重大自然灾害或者地理区域比较偏远的环境下,HAP依旧能够提供基本的通信服务。With the rapid development of wireless communication technology, the high altitude platform (HAP) communication system has received extensive attention in recent years and is an emerging wireless communication system. The HAP communication system mainly refers to a system that provides communication services for ground users by using HAP with a certain payload and an antenna, similar to a low-orbit satellite communication system. However, compared with low-orbit satellites, HAP has the advantages of fast movement, strong maneuverability and low implementation cost. It can move to potential ground users at any time, and better adapt to the communication environment through real-time dynamic adjustment, thereby effectively enhancing Local area communication quality. Therefore, HAP can still provide basic communication services even in the event of major natural disasters or in remote geographical areas.

在移动通信系统中,作为移动中继辅助提高地面无线设备的连通性,扩大网络覆盖范围、保障地面用户的通信质量是HAP的重要功能。但当多对用户接入时,HAP作为中继在放大转发信号的同时,会对非目标用户产生一定的干扰,降低用户的通信质量。为保障信号的传送质量,提高系统性能,确有必要提出一种HAP辅助多对中继通信中的位置与收发预编码设计方法,以解决上述问题。In the mobile communication system, as a mobile relay, it is an important function of HAP to improve the connectivity of terrestrial wireless equipment, expand the network coverage, and ensure the communication quality of terrestrial users. However, when multiple pairs of users access, the HAP acts as a relay while amplifying and forwarding signals, and at the same time, it will cause certain interference to non-target users and reduce the communication quality of users. In order to ensure the transmission quality of the signal and improve the system performance, it is indeed necessary to propose a design method of position and transceiver precoding in HAP-assisted multi-pair relay communication to solve the above problems.

发明内容SUMMARY OF THE INVENTION

发明目的:本发明提出提供一种HAP辅助多对中继通信中的位置与收发预编码设计方法,在发送功率受限的情况下,以“最大化系统速率”为目标,设计HAP的最优位置与收发预编码。Purpose of the invention: The present invention proposes to provide a method for designing position and transceiving precoding in HAP-assisted multi-pair relay communication. In the case of limited transmission power, with the goal of "maximizing system rate", the optimal HAP design is designed. Position and Transceiver Precoding.

发明内容:本发明提出一种HAP辅助多对中继通信中的位置与收发预编码设计方法,具体包括以下步骤:SUMMARY OF THE INVENTION The present invention proposes a method for designing position and transceiving precoding in HAP-assisted multi-pair relay communication, which specifically includes the following steps:

(1)构建HAP辅助多对中继的放大转发系统,所述系统包括:一个配备有多天线的HAP,多个单天线发送端用户,多个单天线接收端用户;(1) Build a HAP-assisted multi-pair relay amplification and forwarding system, the system includes: a HAP equipped with multiple antennas, a plurality of single-antenna transmitting end users, and a plurality of single-antenna receiving end users;

(2)所有单天线发送端用户和单天线接收端用户向HAP发送上行导频信号,HAP接收并对所有用户发来的上行导频信号进行信道估计,以获取所有用户的部分CSI;(2) All single-antenna transmitting end users and single-antenna receiving end users send uplink pilot signals to HAP, and HAP receives and performs channel estimation on the uplink pilot signals sent by all users to obtain partial CSI of all users;

(3)根据步骤(2)获取到所有用户的部分CSI,HAP计算收发预编码矩阵,并基于最大化系统和速率计算预编码矩阵中的最优参数以及HAP的最优位置,向目标用户放大并转发发送端用户所要传输的信号。(3) According to step (2), the partial CSI of all users is obtained, HAP calculates the transceiving precoding matrix, and calculates the optimal parameters in the precoding matrix and the optimal position of the HAP based on the maximizing system and rate, and enlarges it to the target user And forward the signal to be transmitted by the user at the sending end.

进一步地,所述步骤(2)实现过程如下:Further, described step (2) realization process is as follows:

HAP有N根天线,发送端用户集为S,目标用户集为D,S和D中分别有K个单天线用户,分别标记为(S1,S2,S3,…,SK)和(D1,D2,D3,…,DK);在第一时隙,对于发送端任意用户Sk,向HAP发送信息;在第二时隙,HAP将信息进行放大并转发给目标用户Dk;HAP利用所有用户发送的上行导频信号,对信道进行估计,所获取的部分CSI分别表示为:HAP has N antennas, the sender user set is S, and the target user set is D. There are K single-antenna users in S and D, respectively marked as (S 1 , S 2 , S 3 ,...,S K ) and (D 1 , D 2 , D 3 , . . . , D K ); in the first time slot, for any user S k at the sender, send information to the HAP; in the second time slot, the HAP amplifies the information and forwards it to the target User D k ; HAP uses the uplink pilot signals sent by all users to estimate the channel, and the obtained partial CSI is expressed as:

Figure BDA0002933505840000021
Figure BDA0002933505840000021

Figure BDA0002933505840000022
Figure BDA0002933505840000022

其中,

Figure BDA0002933505840000023
Figure BDA0002933505840000024
分别表示HAP与发送端第k个用户之间和第k个目标用户之间的估计信道,k∈[1,2,…,K];
Figure BDA0002933505840000025
Figure BDA0002933505840000026
是信道中的视距成分,向量大小分别为N×1和1×N;Rk和Tk是N×N的确定性非负定矩阵,分别表示接收信号和发送信号在HAP天线间的空间相关性;
Figure BDA0002933505840000027
Figure BDA0002933505840000028
Figure BDA0002933505840000029
都表示N×1的复高斯随机向量,其元素都服从均值为0、方差为
Figure BDA00029335058400000210
的独立同分布,
Figure BDA00029335058400000211
Figure BDA00029335058400000212
为信道估计参数,表示信道估计的准确度,
Figure BDA00029335058400000213
∈表示属于;
Figure BDA00029335058400000214
表示矩阵的平方根运算;(·)H表示矩阵的共轭转置运算;用户集S的部分CSI表示为
Figure BDA00029335058400000215
矩阵大小为N×K,用户集D的部分CSI表示为
Figure BDA00029335058400000216
矩阵大小为K×N。in,
Figure BDA0002933505840000023
and
Figure BDA0002933505840000024
Represent the estimated channels between the HAP and the kth user at the sender and between the kth target user, k∈[1,2,…,K];
Figure BDA0002933505840000025
and
Figure BDA0002933505840000026
is the line-of-sight component in the channel, and the vector sizes are N×1 and 1×N, respectively; R k and T k are N×N deterministic non-negative definite matrices, representing the space between the received signal and the transmitted signal respectively between the HAP antennas Correlation;
Figure BDA0002933505840000027
Figure BDA0002933505840000028
and
Figure BDA0002933505840000029
Both represent an N×1 complex Gaussian random vector, and its elements all obey the mean value of 0 and the variance of
Figure BDA00029335058400000210
independent and identically distributed,
Figure BDA00029335058400000211
and
Figure BDA00029335058400000212
is the channel estimation parameter, indicating the accuracy of the channel estimation,
Figure BDA00029335058400000213
∈ means belong to;
Figure BDA00029335058400000214
Represents the square root operation of the matrix; (·) H represents the conjugate transpose operation of the matrix; the partial CSI of the user set S is expressed as
Figure BDA00029335058400000215
The matrix size is N×K, and the partial CSI of user set D is expressed as
Figure BDA00029335058400000216
The matrix size is K×N.

进一步地,步骤(3)所述的收发预编码矩阵为:Further, the transceiving precoding matrix described in step (3) is:

Figure BDA00029335058400000217
Figure BDA00029335058400000217

其中,W的矩阵大小为N×N,

Figure BDA0002933505840000031
αG和αH为正则化参数;ζ表示满足高空无人平台中继功率约束的归一化参数;Among them, the matrix size of W is N×N,
Figure BDA0002933505840000031
α G and α H are the regularization parameters; ζ represents the normalization parameters that satisfy the relay power constraints of the high-altitude unmanned platform;

Figure BDA0002933505840000032
Figure BDA0002933505840000032

其中,PR表示高空无人平台中继处的功率,p=NPT,PT表示用户集S中用户的发送功率,σ2表示第一时隙段链路中的噪声功率,IN表示N阶单位阵,(·)-1表示矩阵的求逆运算,tr(·)表示矩阵的求迹运算。Among them, PR represents the power at the relay of the high-altitude unmanned platform, p=NP T , P T represents the transmit power of the users in the user set S, σ 2 represents the noise power in the link of the first time slot segment, and I N represents N-order identity matrix, (·) -1 represents the inversion operation of the matrix, and tr(·) represents the trace operation of the matrix.

进一步地,步骤(3)所述的最优正则化参数

Figure BDA0002933505840000033
的计算过程如下:Further, the optimal regularization parameter described in step (3)
Figure BDA0002933505840000033
The calculation process is as follows:

1)设置正则化参数αG和αH的初始值,代入Rsum中;1) Set the initial values of the regularization parameters α G and α H , and substitute them into R sum ;

2)在二维平面里穷举HAP位置坐标,保留Rsum取得最大值时的位置;2) exhaustively enumerate the HAP position coordinates in the two-dimensional plane, and retain the position when R sum obtains the maximum value;

3)将步骤2)中所得位置代入Rsum中,利用内点法求出此时令Rsum取得最大值的αG,并记录此时的αG3) Substitute the gained position in R sum in step 2), utilize the interior point method to obtain the α G that makes R sum obtain the maximum value at this moment, and record the α G at this moment;

4)将αG代入Rsum中,利用内点法求出此时令Rsum取得最大值的αH,并记录此时的αH4) Substitute α G into R sum , utilize the interior point method to obtain the α H that makes R sum obtain the maximum value at this time, and record the α H at this time;

5)将求3)和4)中求得的αG和αH代入Rsum中,重复步骤2)-4),直至速率Rsum收敛,得到最优的正则化参数

Figure BDA0002933505840000034
5) Substitute α G and α H obtained in 3) and 4) into R sum , and repeat steps 2)-4) until the rate R sum converges, and the optimal regularization parameter is obtained
Figure BDA0002933505840000034

进一步地,所述HAP最优位置由下式计算所得:Further, the HAP optimal position is calculated by the following formula:

Figure BDA0002933505840000035
Figure BDA0002933505840000035

Figure BDA0002933505840000036
Figure BDA0002933505840000036

其中,Rsum表示HAP中继系统的系统和速率,

Figure BDA0002933505840000037
为最优的正则化参数,γk表示第k个用户的信干噪比,
Figure BDA0002933505840000038
表示关于
Figure BDA0002933505840000039
Figure BDA00029335058400000310
的期望,xopt和yopt分别表示优化后HAP在水平方向和垂直方向的最优位置。where R sum represents the system and rate of the HAP relay system,
Figure BDA0002933505840000037
is the optimal regularization parameter, γ k represents the signal-to-interference-noise ratio of the kth user,
Figure BDA0002933505840000038
express about
Figure BDA0002933505840000039
and
Figure BDA00029335058400000310
, x opt and y opt represent the optimal position of the optimized HAP in the horizontal and vertical directions, respectively.

有益效果:与现有技术相比,本发明的有益效果:1、本方法采用HAP作中继辅助通信,并根据用户的部分CSI设计收发预编码矩阵,使得在HAP辅助的中继通信系统中用户的通信质量得到保障,有着重要的现实意义;2、本方法以最大化系统和速率为目标,并充分利用HAP的特性联合优化其位置和收发预编码矩阵,贴合实际通信场景,有很强的现实可行性。Beneficial effects: Compared with the prior art, the beneficial effects of the present invention are as follows: 1. The method adopts HAP as relay-assisted communication, and designs the transceiver precoding matrix according to part of the CSI of the user, so that in the HAP-assisted relay communication system The communication quality of the user is guaranteed, which has important practical significance; 2. This method aims at maximizing the system and rate, and makes full use of the characteristics of HAP to jointly optimize its location and transceiving precoding matrix, which is suitable for the actual communication scene, and has a great advantage. strong practicality.

附图说明Description of drawings

图1为本发明的流程图;Fig. 1 is the flow chart of the present invention;

图2为HAP辅助多对中继的放大转发系统的示意图。FIG. 2 is a schematic diagram of a HAP-assisted multi-pair relay amplifying and forwarding system.

具体实施方式Detailed ways

下面结合附图,对本发明的技术方案进行清晰、完整地描述。The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings.

本发明提出一种HAP辅助多对中继通信中的位置与收发预编码设计方法,首先,用户向HAP发送上行导频信号,HAP接收并对用户发来的上行导频信号进行信道估计,以获取用户的部分信道状态信息;其次,利用用户的部分信道状态信息,HAP计算收发预编码矩阵并基于最大化系统和速率计算自身位置,向目标用户放大并转发发送端用户所要传输的信号,如图1所示,具体包括以下步骤:The present invention proposes a method for designing position and transceiving precoding in HAP-assisted multi-pair relay communication. First, a user sends an uplink pilot signal to the HAP, and the HAP receives and performs channel estimation on the uplink pilot signal sent by the user to Obtain part of the channel state information of the user; secondly, using the part of the channel state information of the user, HAP calculates the transceiving precoding matrix and calculates its own position based on the maximized system and rate, and amplifies and forwards the signal to be transmitted by the transmitting end user to the target user, such as As shown in Figure 1, it specifically includes the following steps:

步骤1:构建HAP辅助多对中继的放大转发系统,如图2所示,包括:一个配备有多天线的HAP,多个单天线发送端用户,多个单天线接收端用户。Step 1: Build a HAP-assisted multi-pair relay amplification and forwarding system, as shown in Figure 2, including: a HAP equipped with multiple antennas, multiple single-antenna transmitting end users, and multiple single-antenna receiving end users.

步骤2:所有单天线发送端用户和单天线接收端用户向HAP发送上行导频信号,HAP接收并对所有用户发来的上行导频信号进行信道估计,以获取所有用户的部分CSI。Step 2: All single-antenna transmitting end users and single-antenna receiving end users send uplink pilot signals to the HAP, and the HAP receives and performs channel estimation on the uplink pilot signals sent by all users to obtain partial CSI of all users.

HAP有N根天线,发送端用户集为S,目标用户集为D,S和D中分别有K个单天线用户,分别标记为(S1,S2,S3,…,SK)和(D1,D2,D3,…,DK);在第一时隙,对于发送端任意用户Sk,向HAP发送信息;在第二时隙,HAP将信息进行放大并转发给目标用户Dk。HAP利用用户发送的上行导频信号,对信道进行估计,所获取的部分CSI分别表示为:HAP has N antennas, the sender user set is S, and the target user set is D. There are K single-antenna users in S and D, respectively marked as (S 1 , S 2 , S 3 ,...,S K ) and (D 1 , D 2 , D 3 , . . . , D K ); in the first time slot, for any user S k at the sender, send information to the HAP; in the second time slot, the HAP amplifies the information and forwards it to the target User Dk . HAP uses the uplink pilot signal sent by the user to estimate the channel, and the obtained partial CSI is expressed as:

Figure BDA0002933505840000041
Figure BDA0002933505840000041

Figure BDA0002933505840000042
Figure BDA0002933505840000042

其中,

Figure BDA0002933505840000051
Figure BDA0002933505840000052
分别表示HAP与发送端第k个用户之间和第k个目标用户之间的估计信道,k∈[1,2,…,K];
Figure BDA0002933505840000053
Figure BDA0002933505840000054
是信道中的视距成分,向量大小分别为N×1和1×N;Rk和Tk是N×N的确定性非负定矩阵,分别表示接收信号和发送信号在HAP天线间的空间相关性;
Figure BDA0002933505840000055
Figure BDA0002933505840000056
Figure BDA0002933505840000057
都表示N×1的复高斯随机向量,其元素都服从均值为0、方差为
Figure BDA0002933505840000058
的独立同分布,
Figure BDA0002933505840000059
Figure BDA00029335058400000510
为信道估计参数,表示信道估计的准确度,
Figure BDA00029335058400000511
∈表示属于;
Figure BDA00029335058400000512
表示矩阵的平方根运算;(·)H表示矩阵的共轭转置运算;用户集S的部分CSI表示为
Figure BDA00029335058400000513
矩阵大小为N×K,用户集D的部分CSI表示为
Figure BDA00029335058400000514
矩阵大小为K×N。in,
Figure BDA0002933505840000051
and
Figure BDA0002933505840000052
Represent the estimated channels between the HAP and the kth user at the sender and between the kth target user, k∈[1,2,…,K];
Figure BDA0002933505840000053
and
Figure BDA0002933505840000054
is the line-of-sight component in the channel, and the vector sizes are N×1 and 1×N, respectively; R k and T k are N×N deterministic non-negative definite matrices, representing the space between the received signal and the transmitted signal respectively between the HAP antennas Correlation;
Figure BDA0002933505840000055
Figure BDA0002933505840000056
and
Figure BDA0002933505840000057
Both represent an N×1 complex Gaussian random vector, and its elements all obey the mean value of 0 and the variance of
Figure BDA0002933505840000058
independent and identically distributed,
Figure BDA0002933505840000059
and
Figure BDA00029335058400000510
is the channel estimation parameter, indicating the accuracy of the channel estimation,
Figure BDA00029335058400000511
∈ means belong to;
Figure BDA00029335058400000512
Represents the square root operation of the matrix; (·) H represents the conjugate transpose operation of the matrix; the partial CSI of the user set S is expressed as
Figure BDA00029335058400000513
The matrix size is N×K, and the partial CSI of user set D is expressed as
Figure BDA00029335058400000514
The matrix size is K×N.

步骤3:根据步骤2中获取到用户的部分CSI,HAP计算收发预编码矩阵,并基于最大化系统和速率计算预编码矩阵中的最优参数以及HAP的最优位置,向目标用户放大并转发发送端用户所要传输的信号。Step 3: According to the partial CSI of the user obtained in step 2, the HAP calculates the transceiving precoding matrix, and calculates the optimal parameters in the precoding matrix and the optimal position of the HAP based on the maximizing system and rate, and amplifies and forwards it to the target user. The signal to be transmitted by the user at the sending end.

HAP计算收发预编码矩阵为:HAP calculates the transceiver precoding matrix as:

Figure BDA00029335058400000515
Figure BDA00029335058400000515

其中,W的矩阵大小为N×N,

Figure BDA00029335058400000516
αG和αH为正则化参数;ζ表示满足高空无人平台中继功率约束的归一化参数。Among them, the matrix size of W is N×N,
Figure BDA00029335058400000516
α G and α H are the regularization parameters; ζ represents the normalization parameters that satisfy the relay power constraints of the high-altitude unmanned platform.

Figure BDA00029335058400000517
Figure BDA00029335058400000517

其中,PR表示高空无人平台中继处的功率,p=NPT,PT表示用户集S中用户的发射功率,σ2表示第一时隙链路中的噪声功率,IN表示N阶单位阵,(·)-1表示矩阵的求逆运算,tr(·)表示矩阵的求迹运算。Among them, PR represents the power at the relay of the high-altitude unmanned platform, p=NP T , P T represents the transmit power of the users in the user set S, σ 2 represents the noise power in the first time slot link, and I N represents N Order identity matrix, (·) -1 represents the inversion operation of the matrix, and tr(·) represents the trace operation of the matrix.

正则化参数αG、αH和HAP位置由下式计算所得:The regularization parameters α G , α H and HAP positions are calculated by:

Figure BDA0002933505840000061
Figure BDA0002933505840000061

其中,

Figure BDA0002933505840000062
表示HAP中继系统的系统和速率,
Figure BDA0002933505840000063
为最优的正则化参数,γk表示第k个用户的信干噪比,
Figure BDA0002933505840000064
表示关于
Figure BDA0002933505840000065
Figure BDA0002933505840000066
的期望,xopt和yopt分别表示优化后HAP在水平方向和垂直方向的最优位置。in,
Figure BDA0002933505840000062
Indicates the system and rate of the HAP relay system,
Figure BDA0002933505840000063
is the optimal regularization parameter, γ k represents the signal-to-interference-noise ratio of the kth user,
Figure BDA0002933505840000064
express about
Figure BDA0002933505840000065
and
Figure BDA0002933505840000066
, x opt and y opt represent the optimal position of the optimized HAP in the horizontal and vertical directions, respectively.

具体计算方法如下:The specific calculation method is as follows:

S1、设置正则化参数αG和αH的初始值,代入Rsum中;S1. Set the initial values of the regularization parameters α G and α H , and substitute them into R sum ;

S2、在二维平面里穷举HAP位置坐标,保留Rsum取得最大值时的位置;S2, exhaustively enumerate the HAP position coordinates in the two-dimensional plane, and retain the position when R sum obtains the maximum value;

S3、将步骤S2中所得位置代入Rsum中,利用内点发求出此时令Rsum取得最大值的αG,并记录此时的αGS3, substitute the gained position in step S2 in R sum , utilize the inner point to send out and find out the α G that makes R sum obtain the maximum value at this moment, and record the α G at this moment;

S4、将αG代入Rsum中,利用内点法求出此时令Rsum取得最大值的αH,并记录此时的αHS4. Substitute α G into R sum , and use the interior point method to obtain the α H that makes R sum obtain the maximum value at this time, and record the α H at this time;

S5、将求S3和S4中求得的αG和αH代入Rsum中,重复步骤S2-S4,直至速率Rsum收敛,得到最优的正则化参数

Figure BDA0002933505840000067
和HAP的最优位置(xopt,yopt)。S5. Substitute α G and α H obtained in S3 and S4 into R sum , and repeat steps S2-S4 until the rate R sum converges, and the optimal regularization parameter is obtained
Figure BDA0002933505840000067
and the optimal position of the HAP (x opt , y opt ).

综上所述,本方法考虑对HAP辅助多对中继通信系统中位置和预编码的设计,保障用户的通信质量,确保系统速率能够得到最大程度的提升。并且本方法的设计过程中利用部分CSI,更加贴合实际,因此本方法具有较强现实可行性,能应用于实际通信场景。To sum up, this method considers the design of location and precoding in the HAP-assisted multi-pair relay communication system, to ensure the communication quality of users, and to ensure that the system rate can be improved to the greatest extent. In addition, part of the CSI is used in the design process of this method, which is more practical. Therefore, this method has strong practical feasibility and can be applied to actual communication scenarios.

以上所述,仅为本发明中的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉该技术的人在本发明所揭露的技术范围内,可理解想到的变换或替换,都应涵盖在本发明的包含范围之内,本发明中所述的HAP包括无人飞艇、无人飞行器、有人飞行器或其他搭载一定有效载荷的空中飞行物。因此,本发明的保护范围应该以权利要求书的保护范围为准。The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited to this, any person familiar with the technology can understand the transformation or replacement that comes to mind within the technical scope disclosed by the present invention, All should be included within the scope of the present invention. The HAP described in the present invention includes unmanned airships, unmanned aerial vehicles, manned aerial vehicles or other aerial objects carrying a certain payload. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims (2)

1.一种HAP辅助多对中继通信中的位置与收发预编码设计方法,其特征在于,包括以下步骤:1. a position in HAP-assisted multiple pairs of relay communications and a method for designing transceiver precoding, is characterized in that, comprises the following steps: (1)构建HAP辅助多对中继的放大转发系统,所述系统包括:一个配备有多天线的HAP,多个单天线发送端用户,多个单天线接收端用户;(1) Build a HAP-assisted multi-pair relay amplification and forwarding system, the system includes: a HAP equipped with multiple antennas, a plurality of single-antenna transmitting end users, and a plurality of single-antenna receiving end users; (2)所有单天线发送端用户和单天线接收端用户向HAP发送上行导频信号,HAP接收并对所有用户发来的上行导频信号进行信道估计,以获取所有用户的部分CSI;(2) All single-antenna transmitting end users and single-antenna receiving end users send uplink pilot signals to HAP, and HAP receives and performs channel estimation on the uplink pilot signals sent by all users to obtain partial CSI of all users; (3)根据步骤(2)获取到所有用户的部分CSI,HAP计算收发预编码矩阵,并基于最大化系统和速率计算预编码矩阵中的最优参数以及HAP的最优位置,向目标用户放大并转发发送端用户所要传输的信号;(3) According to step (2), the partial CSI of all users is obtained, HAP calculates the transceiving precoding matrix, and calculates the optimal parameters in the precoding matrix and the optimal position of the HAP based on the maximizing system and rate, and enlarges it to the target user And forward the signal to be transmitted by the sender user; 所述HAP计算收发预编码矩阵为:The HAP calculates the transceiver precoding matrix as:
Figure FDA0003337849990000011
Figure FDA0003337849990000011
其中,W的矩阵大小为N×N,
Figure FDA0003337849990000012
Figure FDA0003337849990000013
αG和αH为正则化参数;ζ表示满足高空无人平台中继功率约束的归一化参数:
Among them, the matrix size of W is N×N,
Figure FDA0003337849990000012
Figure FDA0003337849990000013
α G and α H are regularization parameters; ζ represents the normalization parameters that satisfy the relay power constraints of high-altitude unmanned platforms:
Figure FDA0003337849990000014
Figure FDA0003337849990000014
其中,PR表示高空无人平台中继处的功率,p=NPT,PT表示用户集S中用户的发射功率,σ2表示第一时隙链路中的噪声功率,IN表示N阶单位阵,(·)-1表示矩阵的求逆运算,tr(·)表示矩阵的求迹运算;Among them, PR represents the power at the relay of the high-altitude unmanned platform, p=NP T , P T represents the transmit power of the users in the user set S, σ 2 represents the noise power in the first time slot link, and I N represents N Order identity matrix, ( ) -1 represents the inversion operation of the matrix, and tr( ) represents the trace operation of the matrix; 正则化参数αG、αH和HAP位置由下式计算所得:The regularization parameters α G , α H and HAP positions are calculated by:
Figure FDA0003337849990000015
Figure FDA0003337849990000015
其中,
Figure FDA0003337849990000016
表示HAP中继系统的系统和速率,
Figure FDA0003337849990000017
为最优的正则化参数,γk表示第k个用户的信干噪比,
Figure FDA0003337849990000018
表示关于
Figure FDA0003337849990000019
Figure FDA00033378499900000110
的期望,xopt和yopt分别表示优化后HAP在水平方向和垂直方向的最优位置;
in,
Figure FDA0003337849990000016
Indicates the system and rate of the HAP relay system,
Figure FDA0003337849990000017
is the optimal regularization parameter, γ k represents the signal-to-interference-noise ratio of the kth user,
Figure FDA0003337849990000018
express about
Figure FDA0003337849990000019
and
Figure FDA00033378499900000110
, x opt and y opt represent the optimal positions of the optimized HAP in the horizontal and vertical directions, respectively;
所述最优正则化参数
Figure FDA0003337849990000021
的计算过程如下:
The optimal regularization parameter
Figure FDA0003337849990000021
The calculation process is as follows:
S1、设置正则化参数αG和αH的初始值,代入Rsum中;S1. Set the initial values of the regularization parameters α G and α H , and substitute them into R sum ; S2、在二维平面里穷举HAP位置坐标,保留Rsum取得最大值时的位置;S2, exhaustively enumerate the HAP position coordinates in the two-dimensional plane, and retain the position when R sum obtains the maximum value; S3、将步骤S2中所得位置代入Rsum中,利用内点发求出此时令Rsum取得最大值的αG,并记录此时的αGS3, substitute the gained position in step S2 in R sum , utilize the inner point to send out and find out the α G that makes R sum obtain the maximum value at this moment, and record the α G at this moment; S4、将αG代入Rsum中,利用内点法求出此时令Rsum取得最大值的αH,并记录此时的αHS4. Substitute α G into R sum , and use the interior point method to obtain the α H that makes R sum obtain the maximum value at this time, and record the α H at this time; S5、将求S3和S4中求得的αG和αH代入Rsum中,重复步骤S2-S4,直至速率Rsum收敛,得到最优的正则化参数
Figure FDA0003337849990000022
和HAP的最优位置(xopt,yopt)。
S5. Substitute α G and α H obtained in S3 and S4 into R sum , and repeat steps S2-S4 until the rate R sum converges, and the optimal regularization parameter is obtained
Figure FDA0003337849990000022
and the optimal position of the HAP (x opt , y opt ).
2.根据权利要求1所述的HAP辅助多对中继通信中的位置与收发预编码设计方法,其特征在于,所述步骤(2)实现过程如下:2. the position in the HAP-assisted multi-pair relay communication according to claim 1 and the sending and receiving precoding design method, it is characterized in that, described step (2) realization process is as follows: HAP有N根天线,发送端用户集为S,目标用户集为D,S和D中分别有K个单天线用户,分别标记为(S1,S2,S3,…,SK)和(D1,D2,D3,…,DK);在第一时隙,对于发送端任意用户Sk,向HAP发送信息;在第二时隙,HAP将信息进行放大并转发给目标用户Dk;HAP利用所有用户发送的上行导频信号,对信道进行估计,所获取的部分CSI分别表示为:HAP has N antennas, the sender user set is S, and the target user set is D. There are K single-antenna users in S and D, respectively marked as (S 1 , S 2 , S 3 ,...,S K ) and (D 1 , D 2 , D 3 , . . . , D K ); in the first time slot, for any user S k at the sender, send information to the HAP; in the second time slot, the HAP amplifies the information and forwards it to the target User D k ; HAP uses the uplink pilot signals sent by all users to estimate the channel, and the obtained partial CSI is expressed as:
Figure FDA0003337849990000023
Figure FDA0003337849990000023
Figure FDA0003337849990000024
Figure FDA0003337849990000024
其中,
Figure FDA0003337849990000025
Figure FDA0003337849990000026
分别表示HAP与发送端第k个用户之间和第k个目标用户之间的估计信道,k∈[1,2,…,K];
Figure FDA0003337849990000027
Figure FDA0003337849990000028
是信道中的视距成分,向量大小分别为N×1和1×N;Rk和Tk是N×N的确定性非负定矩阵,分别表示接收信号和发送信号在HAP天线间的空间相关性;
Figure FDA0003337849990000029
Figure FDA00033378499900000210
Figure FDA00033378499900000211
都表示N×1的复高斯随机向量,其元素都服从均值为0、方差为
Figure FDA0003337849990000031
的独立同分布,
Figure FDA0003337849990000032
Figure FDA0003337849990000033
为信道估计参数,表示信道估计的准确度,
Figure FDA0003337849990000034
∈表示属于;
Figure FDA0003337849990000035
表示矩阵的平方根运算;(·)H表示矩阵的共轭转置运算;用户集S的部分CSI表示为
Figure FDA0003337849990000036
矩阵大小为N×K,用户集D的部分CSI表示为
Figure FDA0003337849990000037
矩阵大小为K×N。
in,
Figure FDA0003337849990000025
and
Figure FDA0003337849990000026
Represent the estimated channel between the HAP and the kth user at the sender and between the kth target user, k∈[1, 2,…,K];
Figure FDA0003337849990000027
and
Figure FDA0003337849990000028
is the line-of-sight component in the channel, and the vector sizes are N×1 and 1×N, respectively; R k and T k are N×N deterministic non-negative definite matrices, representing the space between the received signal and the transmitted signal respectively between the HAP antennas Correlation;
Figure FDA0003337849990000029
Figure FDA00033378499900000210
and
Figure FDA00033378499900000211
Both represent an N×1 complex Gaussian random vector, and its elements all obey the mean value of 0 and the variance of
Figure FDA0003337849990000031
independent and identically distributed,
Figure FDA0003337849990000032
and
Figure FDA0003337849990000033
is the channel estimation parameter, indicating the accuracy of the channel estimation,
Figure FDA0003337849990000034
∈ means belong to;
Figure FDA0003337849990000035
Represents the square root operation of the matrix; (·) H represents the conjugate transpose operation of the matrix; the partial CSI of the user set S is expressed as
Figure FDA0003337849990000036
The matrix size is N×K, and the partial CSI of user set D is expressed as
Figure FDA0003337849990000037
The matrix size is K×N.
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