📄 bp_decodenewc.m
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function [yo,iter] = BP_decodenewc(y,N0,H,m,n,max_iter)
if m>n
H=H';
[m,n] = size(H);
end
if ~issparse(H)
[ii,jj,sH] = find(H);
H = sparse(ii,jj,sH,m,n);
end
p0=1./(1+exp(-2.*y./(N0/2)));
p1=1-p0;
[ii,jj] = find(H);
indx = sub2ind(size(H),ii,jj);
q0 = H * spdiags(p0(:),0,n,n);
sq0 = full(q0(indx));
sff0 = sq0;
q1 = H * spdiags(p1(:),0,n,n);
sq1 = full(q1(indx));
sff1 = sq1;
for iter=1:max_iter
wsq1=1-2.*sq1;
wsq1(find(wsq1==0))=1e-20;
dq = sparse(ii,jj,wsq1,m,n);
Pdq_v = full(real(exp(sum(spfun('log',dq),2))));
Pdq = spdiags(Pdq_v(:),0,m,m) * H;
sPdq = full(Pdq(indx));
sr0 = (1+sPdq./wsq1)./2; sr0(find(abs(sr0) < 1e-20)) = 1e-20;
sr1 = (1-sPdq./wsq1)./2; sr1(find(abs(sr1) < 1e-20)) = 1e-20;
r0 = sparse(ii,jj,sr0,m,n);
r1 = sparse(ii,jj,sr1,m,n);
Pr0_v = full(real(exp(sum(spfun('log',r0),1))));
Pr0 = H * spdiags(Pr0_v(:),0,n,n);
sPr0 = full(Pr0(indx));
Q0 = full(sum(sparse(ii,jj,sPr0.*sff0,m,n),1));
Pr1_v = full(real(exp(sum(spfun('log',r1),1))));
Pr1 = H * spdiags(Pr1_v(:),0,n,n);
sPr1 = full(Pr1(indx));
Q1 = full(sum(sparse(ii,jj,sPr1.*sff1,m,n),1));
sq1 = sPr1.*sff1./sr1;
sqq = sq0+sq1;
sq0 = sq0./sqq;
sq1 = sq1./sqq;
QQ = Q0+Q1;
Q0 = Q0./QQ;
Q1 = Q1./QQ;
yo = (sign(Q1-Q0)+1)/2;
if rem(H*yo.',2) == 0,
break;
end
end
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