www.pudn.com > adaptivefiltering.rar > plot_16_13.m

%Contours for BPSK, no noise,  in equializer space 
% with global MMSE minima marked by *
clear
h0=1;h1=-0.5;h2=0.2;h3=0.3; 
H=[h1 h3;h0 h2]; 
ks=1; sig_s=1; sig_w=0;kw=0;

%cost function
p=0;q=0;r=0.01       
for w0=-4:r:4 
p=p+1;
q=0;
for w1= -4:r:4
q=q+1;
w=[w0 w1]';
J(p,q)=0.25*sig_s^4*(ks-3)*norm(H'*w,4)^4+0.75*sig_s^4*norm(H'*w,2)^4+...
0.25*sig_w^4*(kw-3)*norm(w,4)^4+0.75*sig_w^4*norm(w,2)^4+...
1.5*sig_s^2*sig_w^2*norm(H'*w,2)^2*norm(w,2)^2-...
0.5*sig_s^2*ks*(sig_s^2*norm(H'*w,2)^2 +sig_w^2*norm(w,2)^2)+0.25*sig_s^4*ks^2;
if J(p,q)>0.25 & w0^2+w1^2 >1.5
J(p,q)=nan;
end
end
end
[x1,x2]=find(J==min(min(J)));

hold on
contour(-4:r:4, -4:r:4, ((J')/max(max(J))),'k')
for p=1:length(x1)
plot(-4+x1(p)*r,-4+x2(p)*r, 'k*');
end
axis([-4 4 -3 3])
xlabel('w_0')
ylabel('w_1')
title('figure 16.13')
print -deps 16_13