📄 homework3.m
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clear;
clc;
N1=10000;
N=5120;
N2=100;
P=input('please input the order of the AR model')
for m=1:P
a(m)=input('please input a')
linda(m)=input('please input linda')
end
miu=input('please input the length of step');
sigma_v2=input('please input the variance of noise')
Jmin=sigma_v2;
M=miu*sum(linda)/(2-miu*sum(linda));
Jex_inf=M*Jmin;
w=zeros(P,N,N2);
e=zeros(N2,N);
for k=1:N2
v=sqrt(sigma_v2)*randn(1,N1);
u1=zeros(1,N1);
for m=1:N1-2
u1(m+P)=v(m);
for n=1:P
u1(m+P)=u1(m+P)-a(n)*u1(m+P-n);
end
end
u=u1(N1-N+1:N1);
u2=[zeros(1,P) u];
x=zeros(P,1);
for m=1:P
x(m)=u2(P+1-m);
end
for n=1:N-1
w(:,n+1,k)=w(:,n,k)+miu*x*conj(e(k,n));
x=zeros(P,1);
for m=1:P
x(m)=u2(n+P+1-m);
end
e(k,n+1)=u2(n+P+1)-(w(:,n+1,k))'*x;
end
end
w1=mean(w,3);
e1=mean(e.^2,1);
Jex_N=e1(N)-Jmin;
M1=Jex_N/Jmin;
plot(0:length(e1)-1,e1)
xlabel('迭代次数n')
ylabel('J(n)')
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