【含仿真录像】雷达信号失配广义夹角随信噪比变化的matlab仿真分析

clc; clear; close all; warning off; addpath(genpath(pwd)); L=8; K=50; d=1; M=3; sigma=1; snr=-10:30; N = 500; %初始化输出信干噪比矩阵 osinr_mpdr=zeros(length(snr),N); osinr_smi=zeros(length(snr),N); osinr_rmi=zeros(length(snr),N); osinr_dl=zeros(length(snr),N); osinr_sip=zeros(length(snr),N); %初始化失配广义夹角矩阵 angle_mismatched_mpdr=zeros(1,length(snr)); angle_mismatched_smi=zeros(1,length(snr)); angle_mismatched_rmi=zeros(1,length(snr)); angle_mismatched_dl=zeros(1,length(snr)); angle_mismatched_sisp=zeros(1,length(snr)); theta0=0; theta1=60; theta2=-60; a0=exp(1i*2*pi*d*sin(theta0*pi/180)*(0:L-1)'); a1=exp(1i*2*pi*d*sin(theta1*pi/180)*(0:L-1)'); a2=exp(1i*2*pi*d*sin(theta2*pi/180)*(0:L-1)'); b0=exp(1i*2*pi*d*sin((theta0+2)*pi/180)*(0:L-1)'); for m=1:length(snr) sigma0=sigma*10^(snr(m)/20); %两个干扰源，信干噪比为-30dB inr1=snr(m)+30; inr2=snr(m)+30; sigma1=sigma*10^(inr1/20); sigma2=sigma*10^(inr2/20); Rxx = sigma0^2*(a0*a0')+sigma1^2*(a1*a1')+sigma2^2*(a2*a2')+sigma^2*eye(L); Rin = sigma1^2*(a1*a1')+sigma2^2*(a2*a2')+sigma^2*eye(L); for i = 1:N st0=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma0; st1=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma1; st2=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma2; nt =(randn(L,K)+1i*randn(L,K))/sqrt(2)*sigma; xt = a0*st0+a1*st1+a2*st2+nt; sRxx = xt*xt'/ K; [eive,eiva] = eig(sRxx); %eive是特征向量，eiva是特征值 [temp,order] = sort(diag(eiva)); %order排序后对应原向量元素位置；temp 排序后的元素；从小到大排序 sigma_e = sqrt(sum(temp(1:L-M))); Us = eive(:,order(L-M+1:L)); Rin_e = a1*a1'/(a1'*inv(sRxx)*a1) + a2*a2'/(a2'*inv(sRxx)*a2) + sigma_e^2*eye(L);%?小特征值对应噪声功率 w_mpdr = inv(Rxx)*a0 /(a0'*inv(Rxx)*a0); w_smi = inv(sRxx)*b0/(b0'*inv(sRxx)*b0); w_rmi = inv(Rin_e)*b0/(b0'*inv(Rin_e)*b0); w_dl = inv(sRxx+1*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+1*sigma_e^2*eye(L))*b0); %rou=10 w_sip = inv(sRxx)*Us*Us'*b0; osinr_mpdr(m,i)=sigma0^2*(abs(w_mpdr'*a0))^2/abs(w_mpdr'*Rin*w_mpdr); osinr_smi(m,i) =sigma0^2*(abs(w_smi'*a0))^2/abs(w_smi'*Rin*w_smi); osinr_rmi(m,i) =sigma0^2*(abs(w_rmi'*a0))^2/abs(w_rmi'*Rin*w_rmi); osinr_dl(m,i) =sigma0^2*(abs(w_dl'*a0))^2/abs(w_dl'*Rin*w_dl); osinr_sip(m,i) =sigma0^2*(abs(w_sip'*a0))^2/abs(w_sip'*Rin*w_sip); a0_mpdr=Rxx*inv(Rxx)*a0; a0_smi=Rxx*inv(sRxx)*b0; a0_rmi=Rxx*inv(Rin_e)*b0; a0_dl=Rxx*inv(sRxx+1*sigma_e^2*eye(L))*b0; a0_sisp=Rxx*inv(sRxx)*Us*Us'*b0; angle_mismatched_mpdr(m)=angle_mismatched_mpdr(m)+(abs(a0_mpdr'*inv(Rin)*a0))^2/((a0_mpdr'*inv(Rin)*a0_mpdr)*(a0'*inv(Rin)*a0)); angle_mismatched_smi(m)=angle_mismatched_smi(m)+(abs(a0_smi'*inv(Rin)*a0))^2/((a0_smi'*inv(Rin)*a0_smi)*(a0'*inv(Rin)*a0)); angle_mismatched_rmi(m)=angle_mismatched_rmi(m)+(abs(a0_rmi'*inv(Rin)*a0))^2/((a0_rmi'*inv(Rin)*a0_rmi)*(a0'*inv(Rin)*a0)); angle_mismatched_dl(m)=angle_mismatched_dl(m)+(abs(a0_dl'*inv(Rin)*a0))^2/((a0_dl'*inv(Rin)*a0_dl)*(a0'*inv(Rin)*a0)); angle_mismatched_sisp(m)=angle_mismatched_sisp(m)+(abs(a0_sisp'*inv(Rin)*a0))^2/((a0_sisp'*inv(Rin)*a0_sisp)*(a0'*inv(Rin)*a0)); end osinr_mpdr(m,1) = sum(osinr_mpdr(m,:))/N ; osinr_smi(m,1) = sum(osinr_smi(m,:))/N ; osinr_rmi(m,1) = sum(osinr_rmi(m,:))/N ; osinr_dl(m,1) = sum(osinr_dl(m,:))/N ; osinr_sip(m,1) = sum(osinr_sip(m,:))/N ; angle_mismatched_mpdr(m)= abs(angle_mismatched_mpdr(m)/N); angle_mismatched_mpdr(m)= acos(sqrt(angle_mismatched_mpdr(m)))/pi*180; angle_mismatched_smi(m)=angle_mismatched_smi(m)/N; angle_mismatched_smi(m)= acos(sqrt(angle_mismatched_smi(m)))/pi*180; angle_mismatched_rmi(m)= angle_mismatched_rmi(m)/N; angle_mismatched_rmi(m)= acos(sqrt(angle_mismatched_rmi(m)))/pi*180; angle_mismatched_dl(m)=angle_mismatched_dl(m)/N; angle_mismatched_dl(m)= acos(sqrt(angle_mismatched_dl(m)))/pi*180; angle_mismatched_sisp(m)=angle_mismatched_sisp(m)/N; angle_mismatched_sisp(m)= acos(sqrt(angle_mismatched_sisp(m)))/pi*180; end %绘制输出信干噪比随输入信噪比变化 figure(1);hold on; plot(snr,10*log(osinr_mpdr(:,1)),'--','linewidth',2); plot(snr,10*log(osinr_smi(:,1)),'-.','linewidth',2); plot(snr,10*log(osinr_rmi(:,1)),'-*','linewidth',2); plot(snr,10*log(osinr_dl(:,1)),'-o','linewidth',2); plot(snr,10*log(osinr_sip(:,1)),'-+','linewidth',2); xlabel('SNR/dB');ylabel('OSINR/dB'); title('输出信干噪比随输入信噪比变化趋势'); legend('MPDR','SMI','RMI','DL','SIP'); %输出失配广义夹角随输入信噪比变化 figure(2);hold on; plot(snr,angle_mismatched_mpdr,'--','linewidth',2); plot(snr,abs(angle_mismatched_smi),'-.','linewidth',2); plot(snr,abs(angle_mismatched_rmi),'-*','linewidth',2); plot(snr,abs(angle_mismatched_dl),'-o','linewidth',2); plot(snr,abs(angle_mismatched_sisp),'-+','linewidth',2); xlabel('SNR/dB');ylabel('失配广义夹角/(^o)'); title('失配广义夹角随输入信噪比变化趋势'); legend('MPDR','SMI','RMI','DL','SIP'); %% DL clear,clc,close all; L=16; K=50; d=1; M=3; sigma=1; snr=-10:30; N = 500; %初始化输出信干噪比矩阵 osinr_mpdr=zeros(length(snr),N); osinr_smi=zeros(length(snr),N); osinr_rmi=zeros(length(snr),N); osinr_dl=zeros(length(snr),N); osinr_sip=zeros(length(snr),N); %初始化失配广义夹角矩阵 angle_mismatched_mpdr=zeros(1,length(snr)); angle_mismatched_smi=zeros(1,length(snr)); angle_mismatched_rmi=zeros(1,length(snr)); angle_mismatched_dl=zeros(1,length(snr)); angle_mismatched_sisp=zeros(1,length(snr)); theta0=0; theta1=60; theta2=-60; a0=exp(1i*2*pi*d*sin(theta0*pi/180)*(0:L-1)'); a1=exp(1i*2*pi*d*sin(theta1*pi/180)*(0:L-1)'); a2=exp(1i*2*pi*d*sin(theta2*pi/180)*(0:L-1)'); b0=exp(1i*2*pi*d*sin((theta0+2)*pi/180)*(0:L-1)'); for m=1:length(snr) sigma0=sigma*10^(snr(m)/20); %两个干扰源，信干噪比为-30dB inr1=snr(m)+30; inr2=snr(m)+30; sigma1=sigma*10^(inr1/20); sigma2=sigma*10^(inr2/20); Rxx = sigma0^2*(a0*a0')+sigma1^2*(a1*a1')+sigma2^2*(a2*a2')+sigma^2*eye(L); Rin = sigma1^2*(a1*a1')+sigma2^2*(a2*a2')+sigma^2*eye(L); for i = 1:N st0=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma0; st1=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma1; st2=(randn(1,K)+1i*randn(1,K))/sqrt(2)*sigma2; nt =(randn(L,K)+1i*randn(L,K))/sqrt(2)*sigma; xt = a0*st0+a1*st1+a2*st2+nt; sRxx = xt*xt'/ K; [eive,eiva] = eig(sRxx); %eive是特征向量，eiva是特征值 [temp,order] = sort(diag(eiva)); %order排序后对应原向量元素位置；temp 排序后的元素；从小到大排序 sigma_e = sqrt(sum(temp(1:L-M))); w_mpdr = inv(sRxx+1*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+1*sigma_e^2*eye(L))*b0); w_smi = inv(sRxx+5*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+5*sigma_e^2*eye(L))*b0); w_rmi = inv(sRxx+10*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+10*sigma_e^2*eye(L))*b0); w_dl = inv(sRxx+15*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+15*sigma_e^2*eye(L))*b0); w_sip = inv(sRxx+20*sigma_e^2*eye(L))*b0/(b0'*inv(sRxx+20*sigma_e^2*eye(L))*b0); osinr_mpdr(m,i)=sigma0^2*(abs(w_mpdr'*a0))^2/abs(w_mpdr'*Rin*w_mpdr); osinr_smi(m,i) =sigma0^2*(abs(w_smi'*a0))^2/abs(w_smi'*Rin*w_smi); osinr_rmi(m,i) =sigma0^2*(abs(w_rmi'*a0))^2/abs(w_rmi'*Rin*w_rmi); osinr_dl(m,i) =sigma0^2*(abs(w_dl'*a0))^2/abs(w_dl'*Rin*w_dl); osinr_sip(m,i) =sigma0^2*(abs(w_sip'*a0))^2/abs(w_sip'*Rin*w_sip); a0_mpdr=Rxx*inv(sRxx+1*sigma_e^2*eye(L))*b0; a0_smi=Rxx*inv(sRxx+5*sigma_e^2*eye(L))*b0; a0_rmi=Rxx*inv(sRxx+10*sigma_e^2*eye(L))*b0; a0_dl=Rxx*inv(sRxx+15*sigma_e^2*eye(L))*b0; a0_sisp=Rxx*inv(sRxx+20*sigma_e^2*eye(L))*b0; angle_mismatched_mpdr(m)=angle_mismatched_mpdr(m)+(abs(a0_mpdr'*inv(Rin)*a0))^2/((a0_mpdr'*inv(Rin)*a0_mpdr)*(a0'*inv(Rin)*a0)); angl