基于自适应波束成形算法的matlab性能仿真,对比SG和RLS两种方法

1.程序功能描述

基于自适应波束成形算法的matlab性能仿真,对比SG和RLS两种方法.

            

2.测试软件版本以及运行结果展示

MATLAB2022a版本运行

 

 

 

3.核心程序

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for ii = 1:MTKL          if SEL == 1            for i = 1:length(r)                r_(:,i) = SD'*r(:,i);                A_      = SD'*a;                %xx : x*                x_(i)   = W_'*r_(:,i);                xx(i)   = conj(x_(i));                %开始迭代                if i == 1                   W_ = SD'*(inv(R)*a*inv((a'*inv(R)*a))*e);                   SD = SD - mu1*xx(i)*(r(:,i)*W_' - inv(a' *a )*(a*W_')*(a'*r(:,i)));                else                   SD = SD - mu1*xx(i)*(r(:,i)*W_' - inv(a' *a )*(a*W_')*(a'*r(:,i)));                   W_ = W_ - mu2*xx(i)*(eye(D)     - inv(A_'*A_)*A_*A_') *r_(:,i);                end rx      = corrmtx(a*Sig_train(:,i),M-1);                RS      = rx'*rx; rx      = corrmtx(a*Sig_train(:,i),M-1); ry      = corrmtx(a*Sig_train(:,i)+Noise_train(:,i),M-1);                RI      = rx'*ry;            end         SINR(D) = abs((W_'*SD'*RS*SD*W_)/(W_'*SD'*RI*SD*W_));          end         %**************************************************************************         %RLS***********************************************************************         if SEL == 2            alpha = 1;            P     = zeros(M,M);            P_    = zeros(D,M);            for i = 1:length(r)                r_(:,i) = SD'*r(:,i); Pdelay  = P;                P       = inv(R);                A_      = SD'*a; P_delay = P_;                P_      = SD'*P;                SD      = (P*a*A_')/(a'*P*a);                W_      = (P_*a)/(A_'*P_*a);                k       = alpha*Pdelay*r(:,i)/(1+alpha*r(:,i)'*Pdelay*r(:,i));                P       = alpha*Pdelay-alpha*k*r(:,i)'*Pdelay;  rx      = corrmtx(a*Sig_train(:,i),31);                RI      = rx'*rx; rx      = corrmtx(a*Sig_train(:,i),31); ry      = corrmtx(a*Sig_train(:,i)+Noise_train(:,i),31);                RS      = rx'*ry;            end             SINR(D) = abs((W_'*SD'*RI*SD*W_)/(W_'*SD'*RS*SD*W_));         end     end     SINRs(:,ii) = SINR; end DD     = D3(4:end); SINRS2 = 20*log10(mean(SINRs(4:end,:),2)); figure; plot(DD,SINRS2,'b-o'); grid on; xlabel('Rank') ylabel('SINR'); 27_008m

　　

 

 

4.本算法原理

        自适应波束成形是阵列信号处理中的关键技术，用于在空间上选择性地增强期望信号并抑制干扰信号。在多种自适应波束成形算法中，随机梯度（Stochastic Gradient，SG）算法和递归最小二乘（Recursive Least Squares，RLS）算法是两种常用的方法。

 

       RLS的基本流程如下所示：

 

 

 

       SG的基本流程如下所示：