📄 fig4_31b.m .txt
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Figure 4.31 (b)
% Beampattern of Chebychev array with null
% Lillian Xiaolan Xu 9/20/99
% Updated by K. Bell 9/29/00, 7/23/01, 9/30/01
%%%%%%%%%%%%%%%%%%%%%%%
clear all
close all
N=10;
lim=-60;
ux_set=-1:0.02:1;
uy_set=-1:0.02:1;
theta_set=pi*[-0.5:0.002:0.5];
phi_set=[55 60 65];
w=[0.773 0.569 0.796 0.029 1;0.569 0.946 0.119 0.618 0.667;0.796 0.119 0.486 0.777 0.286;0.029 0.618 0.777 0.387 0.071;1 0.667 0.286 0.071 0.008];
w=[w(5,:);w(4,:);w(3,:);w(2,:);w(1,:);w];
w=[w(:,5) w(:,4) w(:,3) w(:,2) w(:,1) w];
wd=w(:,1);
for num=2:N
wd=[wd;w(:,num)];
end
m=(1:N)';
v=exp(i*2*pi*(-m*0.25*0.5-sin(60/180*pi)/2*0.75));
for n=2:N
v=[v;exp(i*2*pi*(-m*0.25*0.5-n*sin(60/180*pi)/2*0.75))];
end
wo=wd-(wd'*v*inv(v'*v)*v')';
fig=1;
figure
for num=1:size(phi_set,2)
phi=phi_set(num);
for x=1:size(theta_set,2)
theta=theta_set(x);
ux=sin(theta)*cos(phi/180*pi);
uy=sin(theta)*sin(phi/180*pi);
b(x)=0;
for m=1:N
for n=1:N
b(x)=b(x)+wo((n-1)*N+m)*exp(-i*2*pi*(m*ux*0.5+n*uy*0.75));
end
end
end
b=b/max(max(b));
bdb=20*log10(abs(b));
for x=1:size(ux_set,2)
if bdb(x)<lim
bdb(x)=lim;
end
end
subplot(3,1,fig);
fig=fig+1;
plot(theta_set/pi*180,bdb);
axis([-90 90 lim 0])
title(['\phi=-',num2str(phi),'^o'],'Fontsize',14)
ylabel('Beam pattern (dB)','Fontsize',14)
if fig==4
xlabel(['\theta^o'],'Fontsize',14);
end
grid on
end;
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