Significantly more efficient and slightly more sensitive implementation of the ordered statistics decoder.

git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@7677 ab8295b8-cf94-4d9e-aec4-7959e3be5d79
This commit is contained in:
Steven Franke 2017-05-12 21:23:34 +00:00
parent f7e8c81357
commit 669aa55457
1 changed files with 89 additions and 51 deletions

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@ -1,18 +1,14 @@
subroutine osd300(llr,norder,decoded,niterations,cw)
!
! An ordered-statistics decoder based on ideas from:
! "Soft-decision decoding of linear block codes based on ordered statistics,"
! by Marc P. C. Fossorier and Shu Lin,
! IEEE Trans Inf Theory, Vol 41, No 5, Sep 1995
!
! An ordered-statistics decoder for the (300,60) code.
!
include "ldpc_300_60_params.f90"
integer*1 gen(K,N)
integer*1 genmrb(K,N)
integer*1 temp(K),m0(K),me(0:K)
integer indices(N)
integer*1 codeword(N),cw(N),hdec(N)
integer*1 genmrb(K,N),g2(N,K)
integer*1 temp(K),m0(K),me(K),mi(K)
integer indices(N),nxor(N)
integer*1 cw(N),ce(N),c0(N),hdec(N)
integer*1 decoded(K)
integer indx(N)
real llr(N),rx(N),absrx(N)
@ -83,58 +79,100 @@ do id=1,K ! diagonal element indices
enddo
enddo
g2=transpose(genmrb)
!do i=1,N
! g2(i,1:K)=genmrb(1:K,i)
!enddo
! The hard decisions for the K MRB bits define the order 0 message, m0.
! Encode m0 using the modified generator matrix to find the "order 0" codeword.
! Flip various combinations of bits in m0 and re-encode to generate a list of
! codewords. Test all such codewords against the received word to decide which
! codeword is most likely to be correct.
hdec=hdec(indices)
m0=hdec(1:K)
nhardmin=N
j0=0
j1=0
j2=0
j3=0
if( norder.ge.4 ) j0=K
if( norder.ge.3 ) j1=K
if( norder.ge.2 ) j2=K
if( norder.ge.1 ) j3=K
! me(0) is a dummy position --- only me(1:K) are actually used. This is done
! to avoid "if" statements within the inner loop.
do i1=0,j0
do i2=i1,j1
do i3=i2,j2
do i4=i3,j3
me(1:K)=m0
me(i1)=1-me(i1)
me(i2)=1-me(i2)
me(i3)=1-me(i3)
me(i4)=1-me(i4)
hdec=hdec(indices) ! hard decisions from received symbols
m0=hdec(1:K) ! zero'th order message
absrx=absrx(indices)
rx=rx(indices)
! me is the m0 + error pattern. encode this message using genmrb to
! produce a codeword. test the codeword against the received vector
! and save it if it's the best that we've seen so far.
do i=1,N
nsum=sum(iand(me(1:K),genmrb(1:K,i)))
codeword(i)=mod(nsum,2)
enddo
nhard=count(codeword .ne. hdec)
if( nhard .lt. nhardmin ) then
cw=codeword
nhardmin=nhard
i1min=i1
i2min=i2
i3min=i3
i4min=i4
endif
enddo
enddo
enddo
s1=sum(absrx(1:K))
s2=sum(absrx(K+1:N))
xlam=5.0
rho=s1/(s1+xlam*s2)
call mrbencode(m0,c0,g2,N,K)
nxor=ieor(c0,hdec)
nhardmin=sum(nxor)
dmin=sum(nxor*absrx)
thresh=rho*dmin
cw=c0
nt=0
nrejected=0
do iorder=1,norder
mi(1:K-iorder)=0
mi(K-iorder+1:K)=1
iflag=0
do while(iflag .ge. 0 )
dpat=sum(mi*absrx(1:K))
nt=nt+1
if( dpat .lt. thresh ) then ! reject unlikely error patterns
me=ieor(m0,mi)
call mrbencode(me,ce,g2,N,K)
nxor=ieor(ce,hdec)
dd=sum(nxor*absrx)
if( dd .lt. dmin ) then
dmin=dd
cw=ce
nhardmin=sum(nxor)
thresh=rho*dmin
endif
else
nrejected=nrejected+1
endif
! get the next test error pattern, iflag will go negative
! when the last pattern with weight iorder has been generated
call nextpat(mi,k,iorder,iflag)
enddo
enddo
!write(*,*) 'nhardmin ',nhardmin
!write(*,*) 'total patterns ',nt,' number rejected ',nrejected
! re-order the codeword to place message bits at the end
cw(indices)=cw
decoded=cw(M+1:N)
niterations=1
return
end subroutine osd300
subroutine mrbencode(me,codeword,g2,N,K)
integer*1 me(K),codeword(N),g2(N,K)
! fast encoding for low-weight test patterns
codeword=0
do i=1,K
if( me(i) .eq. 1 ) then
codeword=ieor(codeword,g2(1:N,i))
endif
enddo
return
end subroutine mrbencode
subroutine nextpat(mi,k,iorder,iflag)
integer*1 mi(k),ms(k)
! generate the next test error pattern
ind=-1
do i=1,k-1
if( mi(i).eq.0 .and. mi(i+1).eq.1) ind=i
enddo
ms=0
ms(1:ind-1)=mi(1:ind-1)
ms(ind)=1
ms(ind+1)=0
if( ind+1 .lt. k ) then
nz=iorder-sum(ms)
ms(k-nz+1:k)=1
endif
mi=ms
iflag=ind
return
end subroutine nextpat