📄 fig7_11.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Figure 7.11
% Gerry Tian 6/24/99
% Updated by K. Bell 1/30/04
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear all
close all
N=10;
SNR=10.^(10/10);
INR=10^(20/10);
LNRdb=[-10:10:20];
LNR=10.^(LNRdb/10);
K=4;
L=1;
J=rot90(eye(N));
uo=0; ui=[0.29 0.45]; D=2;
amf=[-(N-1)/2:(N-1)/2]';
Vs=exp(j*pi*amf*uo);
Vi=exp(j*pi*amf*ui);
u=[-1:0.01:1];
V=exp(j*pi*amf*u);
% steady state
for i=1:length(LNR)
Xs=Vs*sqrt(SNR/2)*(randn(1,K)+j*randn(1,K));
Xi=Vi*sqrt(INR/2)*(randn(D,K)+j*randn(D,K));
Xw=(randn(N,K)+j*randn(N,K))/sqrt(2);
Xn=Xi+Xw; Xx=Xn+Xs;
Rx=Xx*Xx'/K+LNR(i)*eye(N);
Rxfb=(Rx+J*conj(Rx)*J)/2;
Wp=inv(Rxfb)*Vs*inv(Vs'*inv(Rxfb)*Vs);
Bp(i,:) =20*log10(abs(Wp'*V));
end
save ex7_3_4e Bp LNR LNRdb N K ui u
figure
for i=1:length(LNR)
%figure
subplot(2,2,i)
plot(u,Bp(i,:))
hold on
plot([ui(1),ui(1)],[-70,10],'--')
plot([ui(2),ui(2)],[-70,10],'--')
xlabel('u')
ylabel('Beam pattern (dB)')
title(['{\it N} = 10,{\it K} = 4, \sigma_{\itL}^{2} = ',num2str(LNRdb(i)),' dB'])
grid
if i==1
axis([-1,1,-50,20])
else
axis([-1,1,-60,10])
end
end
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