CN105959045A - Multi-user generalized spatial modulation system phase adjusting linear precoding method - Google Patents

Abstract

Translated fromChinese

本发明公开了一种多用户广义空间调制系统相位调整线性预编码方法，该方法包括以下步骤：建立多用户广义空间调制系统，将链路发送端天线进行分组，每组发送天线采用广义空间调制服务于一个接收端；对系统中的信道增益矩阵和发送信号矩阵进行降维，得到等效信道增益矩阵和等效发送信号矩阵；利用所述降维矩阵对于发送端的发送信号矩阵进行相位调整线性预编码处理，并利用所述等效信道增益矩阵进行信号的传输，以将干扰转化为有利于目标符号的干扰。本发明方法能够有效提高系统的误码性能和系统的容量。

The invention discloses a multi-user generalized spatial modulation system phase adjustment linear precoding method. The method includes the following steps: establishing a multi-user generalized spatial modulation system, grouping link transmitting end antennas, and each group of transmitting antennas adopts generalized spatial modulation. Serving one receiving end; reducing the dimensionality of the channel gain matrix and the transmit signal matrix in the system to obtain the equivalent channel gain matrix and the equivalent transmit signal matrix; using the dimensionality reduction matrix to linearly adjust the phase of the transmit signal matrix of the transmitter Precoding processing, and using the equivalent channel gain matrix for signal transmission to convert interference into interference that is beneficial to the target symbol. The method of the invention can effectively improve the bit error performance of the system and the capacity of the system.

Description

Translated fromChinese

一种多用户广义空间调制系统相位调整线性预编码方法A phase-adjusted linear precoding method for multi-user generalized spatial modulation systems

技术领域technical field

本发明涉及无线通信领域，具体涉及一种应用于多用户广义空间调制系统的相位调整线性预编码方法。The invention relates to the field of wireless communication, in particular to a phase adjustment linear precoding method applied to a multi-user generalized space modulation system.

背景技术Background technique

空间调制技术在链路发送端激活一根天线进行信息传输，将部分发送信息映射到传统的数字调制星座图上，剩余部分映射到天线序号生成的空间维上，有效解决了信道间干扰的问题。广义空间调制技术可以使链路发送端激活两根或者多根天线，这解除了空间调制中链路发送端天线数必须是2的幂次的限制，增加了分集增益，并且有效提高了频谱效率，但其不可避免的引入了信道间干扰。与传统预编码方法中干扰被完全消除不同，相位调整线性预编码技术从利用干扰的角度，将所有干扰转化为有利于目标符号的有利干扰。Spatial modulation technology activates an antenna at the sending end of the link for information transmission, maps part of the sent information to the traditional digital modulation constellation diagram, and maps the rest to the space dimension generated by the antenna serial number, effectively solving the problem of inter-channel interference . The generalized spatial modulation technology can enable the link transmitting end to activate two or more antennas, which removes the limitation that the number of antennas at the link transmitting end must be a power of 2 in spatial modulation, increases the diversity gain, and effectively improves the spectrum efficiency. , but it inevitably introduces inter-channel interference. Different from the traditional precoding method where the interference is completely eliminated, the phase-adjusted linear precoding technology converts all interference into beneficial interference that is beneficial to the target symbol from the perspective of utilizing interference.

现有技术中，J.Wu等人研究了结合空间调制的多用户MIMO系统预编码，通过块对角化预编码操作，该系统等价为多个并行的单用户MIMO系统，再经过空间调制消除了信道间干扰，最后采用梯度下降算法，更新每个用户的功率分配因子，直到系统误码率降到最低，获得闭式解。In the prior art, J.Wu et al. studied the multi-user MIMO system precoding combined with spatial modulation. Through the block diagonalization precoding operation, the system is equivalent to multiple parallel single-user MIMO systems, and then the spatial modulation The inter-channel interference is eliminated, and finally the gradient descent algorithm is used to update the power allocation factor of each user until the system bit error rate is reduced to the minimum, and a closed-form solution is obtained.

J.Wu等人将多用户MIMO系统经过块对角化预编码处理后，通过空间调制消除了干扰，但是该方法只适用于多用户空间调制系统，即在单用户MIMO系统中只激活发射端一根天线时的特殊情况。对于多用户广义空间调制系统来说，由于存在两根或者两根以上的活跃天线数，所以信道间干扰依然存在。若将预编码技术直接应用于多用户广义空间调制系统，由于信道增益矩阵不满秩，信道增益矩阵不存在广义逆，所以多用户广义空间调制系统无法直接使用传统预编码方法以消除信道间干扰。J. Wu et al. processed the multi-user MIMO system through block diagonalization precoding, and eliminated the interference through spatial modulation, but this method is only applicable to the multi-user spatial modulation system, that is, only the transmitter is activated in the single-user MIMO system Special case for one antenna. For the multi-user generalized spatial modulation system, since there are two or more active antennas, inter-channel interference still exists. If the precoding technology is directly applied to the multi-user generalized spatial modulation system, since the channel gain matrix is not full of rank and there is no generalized inverse of the channel gain matrix, the multi-user generalized spatial modulation system cannot directly use the traditional precoding method to eliminate inter-channel interference.

发明内容Contents of the invention

为了解决目前传统相位调整线性预编码方法无法应用于多用户广义空间调制系统的问题，本发明提出一种应用于多用户广义空间调制系统下链路的相位调整线性预编码方法。In order to solve the problem that the current traditional phase-adjusted linear precoding method cannot be applied to the multi-user generalized spatial modulation system, the present invention proposes a phase-adjusted linear precoding method applied to the downlink of the multi-user generalized spatial modulation system.

本发明提出的一种多用户广义空间调制系统相位调整线性预编码方法包括以下步骤：A kind of multi-user generalized spatial modulation system phase adjustment linear precoding method proposed by the present invention comprises the following steps:

建立多用户广义空间调制系统，将链路发送端天线进行分组，每组发送天线采用广义空间调制服务于一个接收端；Establish a multi-user generalized spatial modulation system, group the antennas at the transmitting end of the link, and each group of transmitting antennas uses generalized spatial modulation to serve a receiving end;

对所述多用户广义空间调制系统中的信道增益矩阵和发送信号矩阵进行降维，得到等效信道增益矩阵和等效发送信号矩阵；performing dimensionality reduction on the channel gain matrix and the transmission signal matrix in the multi-user generalized spatial modulation system to obtain an equivalent channel gain matrix and an equivalent transmission signal matrix;

利用所述降维矩阵对于所述多用户广义空间调制系统链路发送端的等效发送信号矩阵进行相位调整线性预编码处理，并利用所述等效信道增益矩阵进行信号的传输，以将干扰转化为有利于目标符号的干扰。Use the dimensionality reduction matrix to perform phase adjustment linear precoding processing on the equivalent transmission signal matrix of the multi-user generalized space modulation system link transmitting end, and use the equivalent channel gain matrix to perform signal transmission, so as to transform the interference into interference in favor of the target symbol.

本发明提出的应用于多用户广义空间调制系统下链路的相位调整线性预编码方法，通过对链路发射端天线分组将多用户广义空间调制系统分解为许多独立的单用户广义空间调制系统，在假定用户的接收天线数与对应发送天线组的激活天线数相同的条件下，根据广义空间调制存在沉默天线的特点生成降维矩阵以降低信道增益矩阵和发送信号矩阵的维数，得到的等效信道增益矩阵和等效发送信号矩阵将活跃天线的发送信息和信道状态信息提取出来，最后利用相位调整线性预编码方法来将所有干扰转化为有利于目标符号的有利干扰。本发明在链路接收端分别利用最大似然检测方法和最大合并比检测方法估计激活天线序号和发送符号信息，从图3-4可以看出，系统的误码性能和系统容量都会得到进一步提高，其中，最大合并比检测方法通过检测能量最大符号所在的位置判断发送天线序号并判决出相应的发送比特；最大似然检测方法能同时检测天线序号和发送符号，它通过穷举法找出与接收信号最接近的比特信息，从图4中可以看出最大合并比检方法测可以获得更好的误码性能。The phase-adjusted linear precoding method applied to the link of the multi-user generalized spatial modulation system proposed by the present invention decomposes the multi-user generalized spatial modulation system into many independent single-user generalized spatial modulation systems by grouping the antennas at the transmitting end of the link, Assuming that the number of receiving antennas of the user is the same as the number of active antennas of the corresponding transmitting antenna group, the dimensionality reduction matrix is generated according to the characteristics of the presence of silent antennas in the generalized spatial modulation to reduce the dimensions of the channel gain matrix and the transmitting signal matrix, and the obtained Eq. The effective channel gain matrix and the equivalent transmitted signal matrix are used to extract the transmitted information and channel state information of active antennas, and finally the phase-adjusted linear precoding method is used to convert all interferences into beneficial interferences that are beneficial to the target symbols. In the present invention, the maximum likelihood detection method and the maximum combining ratio detection method are used to estimate the active antenna serial number and the transmission symbol information at the link receiving end respectively. It can be seen from Fig. 3-4 that the bit error performance and system capacity of the system will be further improved , where the maximum combining ratio detection method judges the serial number of the transmitting antenna by detecting the position of the symbol with the largest energy and determines the corresponding transmission bit; Receive the closest bit information of the signal, it can be seen from Figure 4 that the maximum combination ratio detection method can obtain better bit error performance.

附图说明Description of drawings

图1为本发明应用于多用户广义空间调制系统下链路的相位调整线性预编码方法的流程图。FIG. 1 is a flowchart of the phase-adjusted linear precoding method applied to the downlink of a multi-user generalized spatial modulation system according to the present invention.

图2为本发明使用的多用户广义空间调制系统的结构框图。Fig. 2 is a structural block diagram of the multi-user generalized spatial modulation system used in the present invention.

图3为使用本发明方法的速率性能仿真图。Fig. 3 is a simulation diagram of rate performance using the method of the present invention.

图4为使用本发明方法的误码性能仿真图。Fig. 4 is a simulation diagram of bit error performance using the method of the present invention.

具体实施方式detailed description

为使本发明的目的、技术方案和优点更加清楚明白，以下结合具体实施例，并参照附图，对本发明进一步详细说明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with specific embodiments and with reference to the accompanying drawings.

本发明提出了一种应用于多用户广义空间调制系统下链路的相位调整线性预编码方法，应用于图2所示的多用户广义空间调制系统。如图1所示，所述应用于多用户广义空间调制系统下链路的相位调整线性预编码方法包括以下步骤：The present invention proposes a phase-adjusted linear precoding method applied to the downlink of a multi-user generalized spatial modulation system, which is applied to the multi-user generalized spatial modulation system shown in FIG. 2 . As shown in Figure 1, the phase-adjusted linear precoding method applied to the downlink of a multi-user generalized spatial modulation system includes the following steps:

步骤S1：建立多用户广义空间调制系统，将多用户广义空间调制系统下链路中的发送端天线进行分组，每组发送天线采用广义空间调制服务于一个特定的用户，即接收端；Step S1: Establish a multi-user generalized spatial modulation system, group the antennas of the transmitting end in the downlink of the multi-user generalized spatial modulation system, and each group of transmitting antennas uses generalized spatial modulation to serve a specific user, that is, the receiving end;

对于一个多用户广义空间调制系统来讲，假设发送端已知信道状态信息，考虑发送端基站拥有N_t根发送天线，同时服务K个用户，如图2所示。假设用户i∈{1,…,K}有M_i根天线，则接收天线总数为在多用户广义空间调制系统中，N_r≤N_t。将N_t根发送天线分为K组，每组天线采用广义空间调制服务于一个特定的用户，该系统等价于多个单用户广义空间调制系统，假定每一发送天线组拥有N_t/K根天线，第i组发送天线服务于用户i，用户端的接收天线数与对应发送端天线组中激活天线数相同，在一组发送天线中激活天线在每个时隙上发送的符号信息相同。For a multi-user generalized spatial modulation system, assuming that the transmitter knows the channel state information, consider that the base station at the transmitter has N_t transmit antennas and serves K users at the same time, as shown in Figure 2. Assuming that user i∈{1,…,K} has M_i antennas, the total number of receiving antennas is In a multi-user generalized spatial modulation system, N_r ≤ N_t . Divide N_t transmitting antennas into K groups, and each group of antennas uses generalized spatial modulation to serve a specific user. This system is equivalent to multiple single-user generalized spatial modulation systems. It is assumed that each transmitting antenna group has N_t /K The i-th group of transmitting antennas serves user i, the number of receiving antennas at the user end is the same as the number of active antennas in the corresponding transmitting antenna group, and the active antennas in a group of transmitting antennas transmit the same symbol information on each time slot.

对于上述多用户广义空间调制系统，接收端的接收信号表示为：y＝f·HP_PALPx+n，f为功率限制因子，H表示瑞利平坦衰落信道增益矩阵，是发送端的预编码矩阵，x表示发送信号，n表示加性高斯白噪声。For the above multi-user generalized spatial modulation system, the received signal at the receiving end is expressed as: y=f HP_PALP x+n, f is the power limiting factor, H represents the Rayleigh flat fading channel gain matrix, is the precoding matrix at the sending end, x represents the transmitted signal, and n represents additive white Gaussian noise.

所述接收信号可展开为：The received signal can be expanded as:

$\mathrm{<span><span>y</span>the\; y</span>}<span><span>=</span>=</span>\left[\begin{array}{c}{\mathrm{<span><span>y</span>the\; y</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ {\mathrm{<span><span>y</span>the\; y</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>y</span>the\; y</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>=</span>=</span>\mathrm{<span><span>f</span>f</span>}<span><span>\&CenterDot;</span>\&CenterDot;</span>{\mathrm{<span><span>HP</span>HP</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}\left[\begin{array}{c}{\mathrm{<span><span>x</span>x</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ {\mathrm{<span><span>x</span>x</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>x</span>x</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>+</span>+</span>\left[\begin{array}{c}{\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>,</span>,</span>$

瑞利平坦衰落信道H可以用块矩阵的形式表示：The Rayleigh flat fading channel H can be represented in the form of a block matrix:

子矩阵代表第n组发送天线和用户i间的信道增益矩阵；表示用户i的接收信号；x⁽ⁱ⁾是第i组发送天线发送的符号向量其中，N_u⁽ⁱ⁾代表第i组发送天线中的活跃天线数，表示从i组发送天线中第j根活跃天线发出的信号，sq表示M-QAM星座图中的第q个符号；表示用户i的加性高斯白噪声向量。令表示基站的发送符号向量，满足P_T是基站的发射总功率，E[·]表示求均值，||·||表示求Eucliden范数；发送端的总功率限制可以表示为：T_r(P_PALPP_PALP^H)≤P_T，Tr(·)表示求迹操作。submatrix Represents the channel gain matrix between the nth group of transmit antennas and user i; Represents the received signal of user i; x⁽ⁱ⁾ is the symbol vector sent by the i-th group of transmitting antennas Among them, Nu (_i⁾ represents the number of active antennas in the i-th group of transmitting antennas, Indicates the signal sent from the jth active antenna in the i group of transmitting antennas, and sq indicates the qth symbol in the M-QAM constellation diagram; represents the additive white Gaussian noise vector for user i. make Represents the transmitted symbol vector of the base station, satisfying PT is the total transmit power of the base station, E[ ] means to calculate the average value, ||·|| means to seek the Eucliden norm; the total power limit of the transmitter can be expressed as:_Tr (P_PALP P_PALP^H )_≤PT , Tr(·) represents a trace operation.

步骤S2：根据广义空间调制的特性，对所述多用户广义空间调制系统中的信道增益矩阵和发送信号矩阵进行降维，得到等效信道增益矩阵和等效发送信号矩阵；Step S2: according to the characteristics of generalized spatial modulation, perform dimensionality reduction on the channel gain matrix and transmission signal matrix in the multi-user generalized spatial modulation system to obtain an equivalent channel gain matrix and an equivalent transmission signal matrix;

在多用户广义空间调制系统中，由于只有活跃天线进行信息传输而没有被激活的天线保持沉默，所以信道增益矩阵H中对应于沉默天线所在的列和被发送的信号x中对应于沉默天线所在的行都为零向量。针对这一特点，我们将分别建立降低信道增益矩阵H和发送信号矩阵x维数的降维矩阵和假设第i组天线中的活跃天线数M_i与第i个用户的接收天线数N_u⁽ⁱ⁾相同，即M_i＝N_u⁽ⁱ⁾，首先考虑当没有对发送信号进行预编码处理时，接收端的接收信号为:In a multi-user generalized spatial modulation system, since only the active antennas transmit information and the unactivated antennas remain silent, the column corresponding to the silent antenna in the channel gain matrix H and the column corresponding to the silent antenna in the transmitted signal x The rows of are all zero vectors. In view of this feature, we will respectively establish a dimensionality reduction matrix that reduces the channel gain matrix H and the x dimension of the transmitted signal matrix and Assuming that the number of active antennas M_i in the i-th group of antennas is the same as the number of receiving antennas Nu⁽ⁱ⁾ of the i-th user, that_is , M_i =N_u⁽ⁱ⁾ , first consider when no precoding processing is performed on the transmitted signal , the received signal at the receiver is:

$\mathrm{<span><span>y</span>the\; y</span>}<span><span>=</span>=</span>\mathrm{<span><span>H</span>h</span>}\mathrm{<span><span>x</span>x</span>}<span><span>+</span>+</span>\mathrm{<span><span>n</span>no</span>}<span><span>=</span>=</span><span><span>\&lsqb;</span>\&lsqb;</span>\begin{array}{ccccccccccc}\mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}\end{array}<span><span>\&rsqb;</span>\&rsqb;</span>\left[\begin{array}{c}\mathrm{<span><span>0</span>0</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ \mathrm{<span><span>0</span>0</span>}\\ {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ \mathrm{<span><span>0</span>0</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ \mathrm{<span><span>0</span>0</span>}\\ {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\\ \mathrm{<span><span>0</span>0</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ \mathrm{<span><span>0</span>0</span>}\end{array}\right]<span><span>+</span>+</span>\left[\begin{array}{c}{\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]$

其中，代表第i组发送天线中第j根活跃天线所对应的信道状态信息矩阵列，由于沉默天线不进行信息传输，因此当只考虑激活天线的信道信息和发送信息时，接收信号可以进一步写为：in, Represents the channel state information matrix column corresponding to the jth active antenna in the i-th group of transmitting antennas. Since the silent antennas do not transmit information, when only the channel information and transmission information of the active antennas are considered, the received signal can be further written as:

$\left[\begin{array}{c}{\mathrm{<span><span>y</span>the\; y</span>}}_{\mathrm{<span><span>1</span>1</span>}}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>y</span>the\; y</span>}}_{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>r</span>r</span>}}}\end{array}\right]<span><span>=</span>=</span><span><span>\&lsqb;</span>\&lsqb;</span>\begin{array}{ccc}{\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>...</span>...</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}<span><span>\&rsqb;</span>\&rsqb;</span>\left[\begin{array}{c}{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>+</span>+</span>\left[\begin{array}{c}{\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>2</span>2</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>n</span>no</span>}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>,</span>,</span>$

则等效信道增益矩阵和等效发送信号矩阵分别为：Then the equivalent channel gain matrix and the equivalent transmitted signal matrix are respectively:

$\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>h</span>h</span>}}<span><span>=</span>=</span><span><span>\&lsqb;</span>\&lsqb;</span>\begin{array}{ccc}{\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>...</span>...</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}<span><span>\&rsqb;</span>\&rsqb;</span><span><span>=</span>=</span><span><span>\&lsqb;</span>\&lsqb;</span>\begin{array}{ccccccccccc}\mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>h</span>h</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}\end{array}<span><span>\&rsqb;</span>\&rsqb;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>1</span>1</span>}}$

$\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>x</span>x</span>}}<span><span>=</span>=</span>\left[\begin{array}{c}{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ <span><span>.</span>.</span>\\ {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}\end{array}\right]<span><span>=</span>=</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>3</span>3</span>}}{\left[\begin{array}{ccccccccccc}\mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>1</span>1</span>}}<span><span>,</span>,</span>\mathrm{<span><span>1</span>1</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}& {\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}^{<span><span>(</span>(</span>{\mathrm{<span><span>l</span>l</span>}}_{{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}}<span><span>,</span>,</span>\mathrm{<span><span>K</span>K</span>}<span><span>)</span>)</span>}& \mathrm{<span><span>0</span>0</span>}& \mathrm{<span><span>...</span>...</span>}& \mathrm{<span><span>0</span>0</span>}\end{array}\right]}^{\mathrm{<span><span>H</span>h</span>}}$

由此得出P₁的形式为在第l(l_j,i)行，第列的元素为1，其余元素为0，记为其他位置为0，其中，l(l_j,i)代表第i组发送天线中第j根活跃天线的序号，N_u^(k)代表第k组发送天线中的活跃天线数；同时可得：其他位置为0，取预编码矩阵P_PALP＝P₁P₂P₃，为相位调整线性预编码矩阵时，可以满足使信道增益矩阵H和发送信号矩阵x降维的目的。Therefore, the form of P₁ is obtained in the l(l_j , i) line, the The elements of the column are 1, and the rest of the elements are 0, recorded as The other positions are 0, where l(l_j ,i) represents the serial number of the jth active antenna in the i-th group of transmitting antennas, and Nu (_k⁾ represents the number of active antennas in the k-th group of transmitting antennas; at the same time: Other positions are 0, take the precoding matrix P_PALP =P₁ P₂ P₃ , When the linear precoding matrix is adjusted for the phase, the purpose of reducing the dimension of the channel gain matrix H and the transmission signal matrix x can be met.

步骤S3：对于所述多用户广义空间调制系统链路发送端的等效发送信号矩阵进行相位调整线性预编码处理，并利用所述等效信道增益矩阵进行信号的传输，从而可以将所有干扰转化为有利于目标符号的有利干扰。Step S3: Perform phase adjustment linear precoding processing on the equivalent transmission signal matrix at the transmission end of the multi-user generalized spatial modulation system link, and use the equivalent channel gain matrix for signal transmission, so that all interference can be converted into Favorable interference in favor of the target symbol.

该步骤中，取预编码矩阵为P_PALP＝P₁P₂P₃，时，用户的接收信号可以表示为：其中，令表示传输信道的等效信道增益矩阵。In this step, the precoding matrix is taken as P_PALP =P₁ P₂ P₃ , When , the user's received signal can be expressed as: Among them, order Represents the equivalent channel gain matrix of the transmission channel.

所述步骤S3进一步包括以下步骤：Said step S3 further comprises the following steps:

步骤S31：根据等效信道增益矩阵建立互相关矩阵Step S31: According to the equivalent channel gain matrix build cross-correlation matrix

其中，指在等效信道增益矩阵中第i组天线与第i个用户间的信道增益，其中，in, Refers to the equivalent channel gain matrix The channel gain between the i-th group of antennas and the i-th user in , where,

步骤S32：基于互相关矩阵R⁽ⁱ⁾计算相对相位差c_u,n⁽ⁱ⁾；Step S32: Calculate the relative phase difference c_u,n⁽ⁱ⁾ based on the cross-correlation matrix R⁽ i);

其中，第n个符号对第u个符号造成的同信道干扰与第n个符号之间的相对相位差c_u,n⁽ⁱ⁾表示为：Among them, the relative phase difference c_u,n⁽ⁱ⁾ between the co-channel interference caused by the nth symbol to the uth symbol and the nth symbol is expressed as:

${{\mathrm{<span><span>c</span>c</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>=</span>=</span><span><span>\&angle;</span>\&angle;</span>{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>-</span>-</span><span><span>\&angle;</span>\&angle;</span><span><span>(</span>(</span>{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>\&CenterDot;</span>\&Center\; Dot;</span>{{\mathrm{<span><span>\&rho;</span>\&rho;</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>)</span>)</span><span><span>=</span>=</span>{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}<span><span>\&CenterDot;</span>\&Center\; Dot;</span>\frac{\mathrm{<span><span>c</span>c</span>}\mathrm{<span><span>o</span>o</span>}\mathrm{<span><span>n</span>no</span>}\mathrm{<span><span>j</span>j</span>}<span><span>(</span>(</span>{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>\&CenterDot;</span>\&Center\; Dot;</span>{{\mathrm{<span><span>\&rho;</span>\&rho;</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>)</span>)</span>}{<span><span>|</span>|</span>{{\mathrm{<span><span>\&rho;</span>\&rho;</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>|</span>|</span>}<span><span>,</span>,</span>$

其中，u,n＝1,…,N_u⁽ⁱ⁾，s_q⁽ⁱ⁾是目标符号，ρ_u,n⁽ⁱ⁾是互相关矩阵中第u行第n列的互相关元素，s_q⁽ⁱ⁾·ρ_u,n⁽ⁱ⁾表示第u个符号对第n个符号造成的干扰。∠(x)，conj(x)和|x|分别表示x的角度，共轭和求模运算。Among them, u,n=1,…,N_u⁽ⁱ⁾ , s_q⁽ⁱ⁾ is the target symbol, ρ_u,n⁽ⁱ⁾ is the cross-correlation matrix The cross-correlation element of row u and column n in , s_q⁽ⁱ⁾ ·ρ_u,n⁽ⁱ⁾ represents the interference caused by the u symbol to the n symbol. ∠(x), conj(x) and |x| represent the angle of x, conjugation and modulo operation respectively.

步骤S33：基于互相关矩阵R⁽ⁱ⁾和相对相位差c_u,n⁽ⁱ⁾建立第i个用户的相Step S33: Based on the cross-correlation matrix R⁽ⁱ⁾ and the relative phase difference c_u,n^(i), establish the phase

位修正矩阵R_c⁽ⁱ⁾；bit correction matrix R_c⁽ⁱ⁾ ;

由于沉默天线的发送功率为0，所以假设沉默天线发送的符号为0，可以得到第i个用户的相对相位矩阵c⁽ⁱ⁾为：Since the transmit power of the silent antenna is 0, assuming that the symbol sent by the silent antenna is 0, the relative phase matrix c⁽ⁱ⁾ of the i-th user can be obtained as:

则第i个用户的相位修正矩阵为：Then the phase correction matrix of the i-th user is:

其中，ο表示两个矩阵对应元素相乘的运算。Among them, ο represents the operation of multiplying corresponding elements of two matrices.

步骤S34：基于第i个用户的相位修正矩阵R_c⁽ⁱ⁾，建立多用户广义空间调制系统相位调整线性预编码矩阵P_PALP；Step S34: Based on the phase correction matrix R_c⁽ⁱ⁾ of the i-th user, establish the phase adjustment linear precoding matrix P_PALP of the multi-user generalized spatial modulation system;

对于所述多用户广义空间调制系统，相位修正矩阵R_c可表示为：For the multi-user generalized spatial modulation system, the phase correction matrix_Rc can be expressed as:

可以得到相位调整线性预编码矩阵为：The phase-adjusted linear precoding matrix can be obtained as:

${\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>P</span>P</span>}}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}<span><span>=</span>=</span>{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}{<span><span>(</span>(</span>\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}<span><span>)</span>)</span>}^{<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>R</span>R</span>}}_{\mathrm{<span><span>c</span>c</span>}}<span><span>=</span>=</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>2</span>2</span>}}<span><span>,</span>,</span>$

对于所述多用户广义空间调制系统，多用户广义空间调制系统相位调整线性预编码矩阵表示为：For the multi-user generalized spatial modulation system, the phase adjustment linear precoding matrix of the multi-user generalized spatial modulation system is expressed as:

${\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}<span><span>=</span>=</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>2</span>2</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>3</span>3</span>}}<span><span>=</span>=</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>1</span>1</span>}}{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}{<span><span>(</span>(</span>\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}<span><span>)</span>)</span>}^{<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>R</span>R</span>}}_{\mathrm{<span><span>c</span>c</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>3</span>3</span>}}<span><span>.</span>.</span>$

步骤S35：利用功率限制因子f控制发送端总功率，利用相位调整线Step S35: Use the power limiting factor f to control the total power of the transmitting end, and use the phase adjustment line

性预编码矩阵P_PALP进行信号的传输。The characteristic precoding matrix P_PALP is used for signal transmission.

链路发送端的总发送功率为P_T，因此链路发送端的总功率限制为Tr(P_PALPP_PALP^H)_＝P_T，由此可以得到功率限制因子f为：The total transmit power of the link sender is P_T , so the total power limit of the link sender is Tr(P_PALP P_PALP^H )_=PT , thus the power limit factor f can be obtained as:

$\mathrm{<span><span>f</span>f</span>}<span><span>=</span>=</span>\sqrt{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>T</span>T</span>}}<span><span>/</span>/</span>\mathrm{<span><span>T</span>T</span>}\mathrm{<span><span>r</span>r</span>}<span><span>(</span>(</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}}^{\mathrm{<span><span>H</span>h</span>}}<span><span>)</span>)</span>}<span><span>,</span>,</span>$

则第u根接收天线的接收信号为：Then the received signal of the uth receiving antenna is:

$\begin{array}{c}{{\mathrm{<span><span>y</span>the\; y</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}<span><span>,</span>,</span>\mathrm{<span><span>u</span>u</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>=</span>=</span>{\mathrm{<span><span>H</span>h</span>}}_{\mathrm{<span><span>u</span>u</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>P</span>P</span>}\mathrm{<span><span>A</span>A</span>}\mathrm{<span><span>L</span>L</span>}\mathrm{<span><span>P</span>P</span>}}{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>+</span>+</span>{\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>u</span>u</span>}}<span><span>=</span>=</span>\mathrm{<span><span>f</span>f</span>}<span><span>\&CenterDot;</span>\&Center\; Dot;</span>{\mathrm{<span><span>H</span>h</span>}}_{\mathrm{<span><span>u</span>u</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>1</span>1</span>}}{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}{<span><span>(</span>(</span>\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}{\stackrel{<span><span>~</span>~</span>}{\mathrm{<span><span>H</span>h</span>}}}^{\mathrm{<span><span>H</span>h</span>}}<span><span>)</span>)</span>}^{<span><span>-</span>-</span>\mathrm{<span><span>1</span>1</span>}}{\mathrm{<span><span>R</span>R</span>}}_{\mathrm{<span><span>c</span>c</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>3</span>3</span>}}{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>+</span>+</span>{\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>u</span>u</span>}}\\ <span><span>=</span>=</span>\mathrm{<span><span>f</span>f</span>}<span><span>\&CenterDot;</span>\&Center\; Dot;</span>{\mathrm{<span><span>R</span>R</span>}}_{\mathrm{<span><span>c</span>c</span>}<span><span>,</span>,</span>\mathrm{<span><span>u</span>u</span>}}{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>+</span>+</span>{\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>u</span>u</span>}}<span><span>=</span>=</span>\mathrm{<span><span>f</span>f</span>}<span><span>\&CenterDot;</span>\&Center\; Dot;</span><span><span>(</span>(</span>{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>q</span>q</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>+</span>+</span>\underset{\mathrm{<span><span>n</span>no</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>u</span>u</span>}}{\overset{{\mathrm{<span><span>N</span>N</span>}}_{\mathrm{<span><span>r</span>r</span>}}}{\underset{\mathrm{<span><span>n</span>no</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{<span><span>\&Sigma;</span>\&Sigma;</span>}}}{{\mathrm{<span><span>\&rho;</span>\&rho;</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}{{\mathrm{<span><span>c</span>c</span>}}_{\mathrm{<span><span>u</span>u</span>}<span><span>,</span>,</span>\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}{{\mathrm{<span><span>s</span>the\; s</span>}}_{\mathrm{<span><span>n</span>no</span>}}}^{<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>)</span>)</span>}<span><span>)</span>)</span><span><span>+</span>+</span>{\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>u</span>u</span>}}\end{array}<span><span>,</span>,</span>$

其中，H_u表示H中的第u行。where Hu denotes the_uth row in H.

下面结合图3-4对本发明的效果做进一步的描述。参见图3-4中使用本发明的多用户广义空间调制系统相位调整线性预编码方法的速率和误码性能仿真图，以及图2所示的多用户广义空间调制系统结构图。图3-4的仿真环境为：信道为平坦瑞丽衰落信道，噪声为零均值加性高斯白噪声，用户数K＝6，每一组天线都采用4-QAM广义空间调制方法，N_t/M＝7，激活天线数为N_u⁽ⁱ⁾＝2。图3-4中MU-GSM和MU-GSM-PALP分别表示没有采用多用户广义空间调制系统相位调整线性预编码方法的多用户广义空间调制系统和采用多用户广义空间调制系统相位调整线性预编码的多用户广义空间调制系统；MU-GSM-MRC和MU-GSM-ML分别表示采用最大合并比检测方法的多用户广义空间调制系统和采用最大似然检测方法的多用户广义空间调制系统；MU-GSM-PALP-MRC表示采用最大合并比检测方法并且应用多用户广义空间调制系统相位调整线性预编码的多用户广义空间调制系统；MU-GSM-PALP-ML表示采用最大似然检测方法并且应用多用户广义空间调制系统相位调整线性预编码的多用户广义空间调制系统，从图3-4可以明显看出，在同样的信噪比区间，本发明提出的多用户广义空间调制系统相位调整线性预编码方法能使系统的速率和误码性能得到显著提高，并且当利用最大合并比检测方法时相比采用最大似然检测方法时会取得更好的误码性能。The effects of the present invention will be further described below in conjunction with FIGS. 3-4 . See Figures 3-4 for the rate and bit error performance simulation diagrams using the phase-adjusted linear precoding method of the multi-user generalized spatial modulation system of the present invention, and the structure diagram of the multi-user generalized spatial modulation system shown in Figure 2 . The simulation environment in Figure 3-4 is: the channel is a flat Rayleigh fading channel, the noise is zero-mean additive white Gaussian noise, the number of users is K=6, and each group of antennas adopts the 4-QAM generalized spatial modulation method, N_t /M =7, the number of activated antennas is N_u⁽ⁱ⁾ =2. In Figure 3-4, MU-GSM and MU-GSM-PALP represent the multi-user generalized spatial modulation system without the phase-adjusted linear precoding method of the multi-user generalized spatial modulation system and the phase-adjusted linear precoding method of the multi-user generalized spatial modulation system, respectively. The multi-user generalized spatial modulation system; MU-GSM-MRC and MU-GSM-ML represent the multi-user generalized spatial modulation system using the maximum combining ratio detection method and the multi-user generalized spatial modulation system using the maximum likelihood detection method; MU -GSM-PALP-MRC means the multi-user generalized spatial modulation system adopting the maximum combining ratio detection method and applying the phase adjustment linear precoding of the multi-user generalized spatial modulation system; MU-GSM-PALP-ML means adopting the maximum likelihood detection method and applying Multi-user generalized spatial modulation system phase adjustment linear precoding multi-user generalized spatial modulation system, it can be clearly seen from Figure 3-4 that in the same SNR interval, the multi-user generalized spatial modulation system phase adjustment linear The precoding method can significantly improve the rate and bit error performance of the system, and the bit error performance will be better when using the maximum combining ratio detection method than when using the maximum likelihood detection method.

以上所述的具体实施例，对本发明的目的、技术方案和有益效果进行了进一步详细说明，所应理解的是，以上所述仅为本发明的具体实施例而已，并不用于限制本发明，凡在本发明的精神和原则之内，所做的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。The specific embodiments described above have further described the purpose, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above descriptions are only specific embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims (10)

1. A multi-user generalized spatial modulation system phase adjustment linear precoding method is characterized by comprising the following steps:

establishing a multi-user generalized spatial modulation system, grouping the antennas at the transmitting end of a link, wherein each group of transmitting antennas adopts generalized spatial modulation to serve one receiving end;

reducing dimensions of a channel gain matrix and a sending signal matrix in the multi-user generalized spatial modulation system to obtain an equivalent channel gain matrix, an equivalent sending signal matrix and a corresponding dimension reduction matrix;

and performing phase adjustment linear precoding processing on a signal matrix sent by the link sending end of the multi-user generalized spatial modulation system by using the dimensionality reduction matrix, and transmitting a signal by using the equivalent channel gain matrix so as to convert interference into interference favorable for a target symbol.

2. The method of claim 1, wherein in the multi-user generalized spatial modulation system, the number of receiving antennas at a receiving end is the same as the number of active antennas in a corresponding transmitting antenna group, and the symbol information transmitted by the active antennas of each group of transmitting antennas is the same in each time slot.

3. The method according to claim 1, wherein in the step of reducing the dimensions of the channel gain matrix and the transmit signal matrix in the multi-user generalized spatial modulation system:

according to the multi-user generalized spatial modulation system, the column of the channel gain matrix corresponding to the silent antenna and the row of the transmission signal corresponding to the silent antenna are zero vectors, and a dimension reduction matrix P for reducing the dimension of the channel gain matrix and the transmission signal matrix is constructed₁And P₃。

4. The method of claim 3, wherein the dimension reduction matrix P₁In the first (l)_jI) line I)The elements in the column are 1 and the other elements are 0, wherein l (l)_jI) represents the serial number of the j active antenna in the i group of transmitting antennas, N_u^(k)Representing the number of active antennas in the kth group of transmitting antennas, i is 1, …, K is the number of receiving ends, j is 1, …, N_u⁽ⁱ⁾。

5. The method of claim 3, wherein the step of removing the substrate comprises removing the substrate from the substrateDimension reduction matrix P₃In the first placeLine l (l)_jI) the elements in column 1 and the remaining elements 0, where l (l)_jI) represents the serial number of the j active antenna in the i group of transmitting antennas, N_u^(k)Representing the number of active antennas in the kth group of transmitting antennas, i is 1, …, K is the number of receiving ends, j is 1, …, N_u⁽ⁱ⁾。

6. The method according to claim 3, wherein the step S3 further comprises the steps of:

according to equivalent channel gain matrixEstablishing a cross-correlation matrixWherein,finger on equivalent channel gain matrixChannel gain between the ith group of antennas and the ith user;

based on a cross-correlation matrix R⁽ⁱ⁾Calculating the relative phase difference c_u,n⁽ⁱ⁾；

Based on a cross-correlation matrix R⁽ⁱ⁾And relative phase difference c_u,n⁽ⁱ⁾Establishing a phase correction matrix R of the ith user_c⁽ⁱ⁾＝R⁽ⁱ⁾οc⁽ⁱ⁾Wherein c is⁽ⁱ⁾Relative phase matrix representing the ith user:

phase correction matrix R based on ith user_c⁽ⁱ⁾Establishing a phase adjustment linear precoding matrix P of the multi-user generalized spatial modulation system_PALP；

The total power of a transmitting end is controlled by a power limiting factor f, and a linear precoding matrix P is adjusted by a phase_PALPThe transmission of the signal is performed.

7. Method according to claim 6, characterized in that the relative phase difference c is calculated_u,n⁽ⁱ⁾In the step (b), the co-channel interference caused by the nth symbol to the u-th symbol and the relative phase difference c between the nth symbol_u,n⁽ⁱ⁾Expressed as:

${c_{u,n}}^{\left(i\right)}=\&angle;{s_q}^{\left(i\right)}-\&angle;({s_q}^{\left(i\right)}\&CenterDot;{{\mathrm{\&rho;}}_{u,n}}^{\left(i\right)})=s_q\&CenterDot;\frac{conj({s_q}^{\left(i\right)}\&CenterDot;{{\mathrm{\&rho;}}_{u,n}}^{\left(i\right)})}{\left|{{\mathrm{\&rho;}}_{u,n}}^{\left(i\right)}\right|},$

wherein u, N is 1, …, N_u⁽ⁱ⁾，s_q⁽ⁱ⁾Is the target symbol, p_u,n⁽ⁱ⁾Is a cross correlation matrixCross-correlation element, s, in the u-th row and n-th column_q⁽ⁱ⁾·ρ_u,n⁽ⁱ⁾Indicating the interference caused by the nth symbol, ∠ (x), conj (x), and | x | indicate the angle, conjugate, and modulo operation of x, respectively.

8. The method of claim 6, wherein the multi-user generalized spatial modulation system phase adjusts a linear precoding matrix P_PALPExpressed as:wherein R is_cRepresents the phase correction matrix:

9. the method of claim 6, wherein the total power of the transmitting end is controlled by a power limiting factor f, and wherein the phase-adjusted linear precoding matrix P is used_PALPAfter the transmission of the signal, the received signal of the u-th receiving antenna is expressed as:

y_PALP,u⁽ⁱ⁾＝f·H_uP_PALPs_q⁽ⁱ⁾+n_u，

where f is the power limiting factor, H_uDenotes line u, n in H_uRepresenting additive white gaussian noise.

10. The method of claim 1, wherein the receiving end performs signal detection by using a maximum combining ratio detection method or a maximum likelihood detection method.