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s3r1m5_333.m
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s3r1m5_333.m
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%In His Name
clc
clear all
close all
ux=1 ;
uSNR_db=[70];
uN_oi=100000;
uN_it=1;
uN_sm=500;
% UIE=zeros(uN_it,length(uSNR_db));
for uj=1:uN_it
clear H*
clear B*
clear D*
clear J*
clear M*
clear a*
clear N*
clear m
clear j*
clear R*
clear v*
clear oi
clear A
clear lb
clear W*
clear b*
clear S*
clear p*
clear k*
clear coun
clear i
clear m*
clear P*
clear d*
clear n*
clear w*
clear f*
D1=3;
D2=3;
D3=3;
Mn=5;
Mr=5;
H_1_1= (sqrt(1)*(randn(Mn,Mn)));
H_1_2= (sqrt(1)*(randn(Mn,Mn)));
H_1_3= (sqrt(1)*(randn(Mn,Mn)));
H_2_1= (sqrt(1)*(randn(Mn,Mn)));
H_2_2= (sqrt(1)*(randn(Mn,Mn)));
H_2_3= (sqrt(1)*(randn(Mn,Mn)));
H_3_1= (sqrt(1)*(randn(Mn,Mn)));
H_3_2= (sqrt(1)*(randn(Mn,Mn)));
H_3_3= (sqrt(1)*(randn(Mn,Mn)));
H_1_r= (sqrt(1)*(randn(Mn,Mn)));
H_2_r= (sqrt(1)*(randn(Mn,Mn)));
H_3_r= (sqrt(1)*(randn(Mn,Mn)));
H_r_1= (sqrt(1)*(randn(Mn,Mn)));
H_r_2= (sqrt(1)*(randn(Mn,Mn)));
H_r_3= (sqrt(1)*(randn(Mn,Mn)));
for u1=1:length(uSNR_db)
% IE=zeros(1,uN_oi);
SNR=10^(uSNR_db(u1)/10);
x=ones(D1,1);
v_1=trac(Mn,D1,2);
v_2=trac(Mn,D2,2);
v_3=trac(Mn,D3,2);
W_r=trac(Mn,Mn,2);
N0=(trace(H_1_1*v_1*x*(x')*v_1'*H_1_1')+trace(H_1_r*W_r*H_r_1*v_1*x*(x')*v_1'*H_r_1'*W_r'*H_1_r'))/( SNR*(1+trace([H_1_r*W_r]*[H_1_r*W_r]')));
N0_r=N0;
[v_1 v_2 v_3 W_r]=smst_3( H_1_1,H_1_2,H_2_1,H_2_2,H_1_3,H_2_3,H_3_3,H_r_3,H_3_1,H_3_2, H_3_r,H_1_r,H_2_r,H_r_1,H_r_2,N0,D1,D2,D3,Mn,Mr,uN_sm);
H_1_r_1=H_1_r*W_r*H_r_1;
H_1_r_2=H_1_r*W_r*H_r_2;
H_1_r_3=H_1_r*W_r*H_r_3;
H_2_r_1=H_2_r*W_r*H_r_1;
H_2_r_2=H_2_r*W_r*H_r_2;
H_2_r_3=H_2_r*W_r*H_r_3;
H_3_r_1=H_3_r*W_r*H_r_1;
H_3_r_2=H_3_r*W_r*H_r_2;
H_3_r_3=H_3_r*W_r*H_r_3;
H_p_1_1=H_1_1+H_1_r_1 ;
H_p_1_2=H_1_2+H_1_r_2 ;
H_p_1_3=H_1_3+H_1_r_3 ;
H_p_2_1=H_2_1+H_2_r_1 ;
H_p_2_2=H_2_2+H_2_r_2 ;
H_p_2_3=H_2_3+H_2_r_3 ;
H_p_3_1=H_3_1+H_3_r_1 ;
H_p_3_2=H_3_2+H_3_r_2 ;
H_p_3_3=H_3_3+H_3_r_3 ;
oi=0;
while (oi<uN_oi)
oi=oi+1;
R_1=v_1'*H_p_1_1'/(H_p_1_1*(v_1)*v_1'*H_p_1_1'+H_p_1_2*(v_2)*v_2'*H_p_1_2'+H_p_1_3*(v_3)*v_3'*H_p_1_3'+N0*eye(Mn)+H_1_r*W_r*N0_r*W_r'*H_1_r' );
R_2=v_2'*H_p_2_2'/(H_p_2_1*(v_1)*v_1'*H_p_2_1'+H_p_2_2*(v_2)*v_2'*H_p_2_2'+H_p_2_3*(v_3)*v_3'*H_p_2_3'+N0*eye(Mn)+H_2_r*W_r*N0_r*W_r'*H_2_r' );
R_3=v_3'*H_p_3_3'/(H_p_3_1*(v_1)*v_1'*H_p_3_1'+H_p_3_2*(v_2)*v_2'*H_p_3_2'+H_p_3_3*(v_3)*v_3'*H_p_3_3'+N0*eye(Mn)+H_3_r*W_r*N0_r*W_r'*H_3_r' );
[v_1 v_2 v_3]=V_cvx_3(Mn,Mr,N0,R_1,R_2,R_3, H_1_1,H_1_2,H_2_1,H_2_2,H_1_3,H_2_3,H_3_3,H_r_3,H_3_1,H_3_2, H_3_r,H_1_r,H_2_r,H_r_1,H_r_2,D1,D2,D3,W_r);
W_r=W_cvx_3(Mn,Mr,N0,v_1,v_2,v_3,R_1,R_2,R_3, H_1_1,H_1_2,H_2_1,H_2_2,H_1_3,H_2_3,H_3_3,H_r_3,H_3_1,H_3_2, H_3_r,H_1_r,H_2_r,H_r_1,H_r_2,D1,D2,D3);
uj
H_1_r_1=H_1_r*W_r*H_r_1;
H_1_r_2=H_1_r*W_r*H_r_2;
H_1_r_3=H_1_r*W_r*H_r_3;
H_2_r_1=H_2_r*W_r*H_r_1;
H_2_r_2=H_2_r*W_r*H_r_2;
H_2_r_3=H_2_r*W_r*H_r_3;
H_3_r_1=H_3_r*W_r*H_r_1;
H_3_r_2=H_3_r*W_r*H_r_2;
H_3_r_3=H_3_r*W_r*H_r_3;
H_p_1_1=H_1_1+H_1_r_1 ;
H_p_1_2=H_1_2+H_1_r_2 ;
H_p_1_3=H_1_3+H_1_r_3 ;
H_p_2_1=H_2_1+H_2_r_1 ;
H_p_2_2=H_2_2+H_2_r_2 ;
H_p_2_3=H_2_3+H_2_r_3 ;
H_p_3_1=H_3_1+H_3_r_1 ;
H_p_3_2=H_3_2+H_3_r_2 ;
H_p_3_3=H_3_3+H_3_r_3 ;
ME(oi) =MSE_3(Mn,Mr,N0,v_1,v_2,v_3,R_1,R_2,R_3,H_1_1,H_1_2,H_2_1,H_2_2,H_1_3,H_2_3,H_3_3,H_r_3,H_3_1,H_3_2, H_3_r,H_1_r,H_2_r,H_r_1,H_r_2,D1,D2,D3,W_r );
IA3=H_p_3_1*v_1*[v_1']*H_p_2_1'+H_p_3_2*v_2*[v_2']*H_p_3_2';
BI3=svd(IA3);
ie3=0;
for ik=0:D3-1
ie3=BI3(Mn-ik)+ie3;
end
Ie3=ie3/trace(IA3);
IA2=H_p_2_1*v_1*[v_1']*H_p_2_1'+H_p_2_3*v_3*[v_3']*H_p_2_3';
BI2=svd(IA2);
ie2=0;
for ik=0:D2-1
ie2=BI2(Mn-ik)+ie2;
end
Ie2=ie2/trace(IA2);
Q2=R_2*(H_p_2_1*v_1*(v_1')*H_p_2_1+H_p_2_3*v_3*(v_3')*H_p_2_3)*R_2';
Q1=R_1*(H_p_1_2*v_2*(v_2')*H_p_1_2+H_p_1_3*v_3*(v_3')*H_p_1_3)*R_1';
Q3=R_3*(H_p_3_2*v_2*(v_2')*H_p_3_2+H_p_3_1*v_1*(v_1')*H_p_3_1)*R_3';
TE(oi)=trace(Q1)+trace(Q2)+trace(Q3);
IA1=H_p_1_2*v_2*[v_2']*H_p_1_2'+H_p_1_3*v_3*[v_3']*H_p_1_3';
BI1=svd(IA1);
ie1=0;
for ik=0:D1-1
ie1=BI1(Mn-ik)+ie1;
end
Ie1=ie1/trace(IA1);
IE(oi)=Ie1+Ie2+Ie3;
% if(oi>25)
%
% if(abs(ME(oi)-ME(oi-1))<0.0001)
% oi=101;
% end
% end
if (mod(oi,20)==0)
save ham_bar333_for0.mat
end
end
UIE(uj,u1)=min(IE);
UTE(uj,u1)=min(TE);
UME(uj,u1)=min(ME);
clear IE
clear TE
clear ME
end
save data_s3r1m5_333.mat
end