mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2024-11-04 16:31:17 -05:00
366 lines
8.2 KiB
Fortran
366 lines
8.2 KiB
Fortran
|
subroutine osd204(llr,apmask,ndeep,decoded,cw,nhardmin,dmin)
|
||
|
|
!
|
||
|
|
! An ordered-statistics decoder for the (204,68) code.
|
||
|
|
!
|
||
|
|
include "ldpc_204_68_params.f90"
|
||
|
|
|
||
|
|
integer*1 apmask(N),apmaskr(N)
|
||
|
|
integer*1 gen(K,N)
|
||
|
|
integer*1 genmrb(K,N),g2(N,K)
|
||
|
|
integer*1 temp(K),m0(K),me(K),mi(K),misub(K),e2sub(N-K),e2(N-K),ui(N-K)
|
||
|
|
integer*1 r2pat(N-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)
|
||
|
|
logical first,reset
|
||
|
|
data first/.true./
|
||
|
|
save first,gen
|
||
|
|
|
||
|
|
if( first ) then ! fill the generator matrix
|
||
|
|
gen=0
|
||
|
|
do i=1,M
|
||
|
|
do j=1,17
|
||
|
|
read(g(i)(j:j),"(Z1)") istr
|
||
|
|
do jj=1, 4
|
||
|
|
irow=(j-1)*4+jj
|
||
|
|
if( btest(istr,4-jj) ) gen(irow,i)=1
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
do irow=1,K
|
||
|
|
gen(irow,M+irow)=1
|
||
|
|
enddo
|
||
|
|
first=.false.
|
||
|
|
endif
|
||
|
|
|
||
|
|
! Re-order received vector to place systematic msg bits at the end.
|
||
|
|
rx=llr(colorder+1)
|
||
|
|
apmaskr=apmask(colorder+1)
|
||
|
|
|
||
|
|
! Hard decisions on the received word.
|
||
|
|
hdec=0
|
||
|
|
where(rx .ge. 0) hdec=1
|
||
|
|
|
||
|
|
! Use magnitude of received symbols as a measure of reliability.
|
||
|
|
absrx=abs(rx)
|
||
|
|
call indexx(absrx,N,indx)
|
||
|
|
|
||
|
|
! Re-order the columns of the generator matrix in order of decreasing reliability.
|
||
|
|
do i=1,N
|
||
|
|
genmrb(1:K,i)=gen(1:K,indx(N+1-i))
|
||
|
|
indices(i)=indx(N+1-i)
|
||
|
|
enddo
|
||
|
|
|
||
|
|
! Do gaussian elimination to create a generator matrix with the most reliable
|
||
|
|
! received bits in positions 1:K in order of decreasing reliability (more or less).
|
||
|
|
do id=1,K ! diagonal element indices
|
||
|
|
do icol=id,K+20 ! The 20 is ad hoc - beware
|
||
|
|
iflag=0
|
||
|
|
if( genmrb(id,icol) .eq. 1 ) then
|
||
|
|
iflag=1
|
||
|
|
if( icol .ne. id ) then ! reorder column
|
||
|
|
temp(1:K)=genmrb(1:K,id)
|
||
|
|
genmrb(1:K,id)=genmrb(1:K,icol)
|
||
|
|
genmrb(1:K,icol)=temp(1:K)
|
||
|
|
itmp=indices(id)
|
||
|
|
indices(id)=indices(icol)
|
||
|
|
indices(icol)=itmp
|
||
|
|
endif
|
||
|
|
do ii=1,K
|
||
|
|
if( ii .ne. id .and. genmrb(ii,id) .eq. 1 ) then
|
||
|
|
genmrb(ii,1:N)=ieor(genmrb(ii,1:N),genmrb(id,1:N))
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
exit
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
|
||
|
|
g2=transpose(genmrb)
|
||
|
|
|
||
|
|
! 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. Return the member of the list that has the smallest Euclidean
|
||
|
|
! distance to the received word.
|
||
|
|
|
||
|
|
hdec=hdec(indices) ! hard decisions from received symbols
|
||
|
|
m0=hdec(1:K) ! zero'th order message
|
||
|
|
absrx=absrx(indices)
|
||
|
|
rx=rx(indices)
|
||
|
|
apmaskr=apmaskr(indices)
|
||
|
|
|
||
|
|
call mrbencode(m0,c0,g2,N,K)
|
||
|
|
nxor=ieor(c0,hdec)
|
||
|
|
nhardmin=sum(nxor)
|
||
|
|
dmin=sum(nxor*absrx)
|
||
|
|
|
||
|
|
cw=c0
|
||
|
|
ntotal=0
|
||
|
|
nrejected=0
|
||
|
|
|
||
|
|
if(ndeep.eq.0) goto 998 ! norder=0
|
||
|
|
if(ndeep.gt.5) ndeep=5
|
||
|
|
if( ndeep.eq. 1) then
|
||
|
|
nord=1
|
||
|
|
npre1=0
|
||
|
|
npre2=0
|
||
|
|
nt=40
|
||
|
|
ntheta=12
|
||
|
|
elseif(ndeep.eq.2) then
|
||
|
|
nord=1
|
||
|
|
npre1=1
|
||
|
|
npre2=0
|
||
|
|
nt=40
|
||
|
|
ntheta=12
|
||
|
|
elseif(ndeep.eq.3) then
|
||
|
|
nord=1
|
||
|
|
npre1=1
|
||
|
|
npre2=1
|
||
|
|
nt=40
|
||
|
|
ntheta=12
|
||
|
|
ntau=14
|
||
|
|
elseif(ndeep.eq.4) then
|
||
|
|
nord=2
|
||
|
|
npre1=1
|
||
|
|
npre2=0
|
||
|
|
nt=40
|
||
|
|
ntheta=12
|
||
|
|
ntau=19
|
||
|
|
elseif(ndeep.eq.5) then
|
||
|
|
nord=2
|
||
|
|
npre1=1
|
||
|
|
npre2=1
|
||
|
|
nt=40
|
||
|
|
ntheta=12
|
||
|
|
ntau=19
|
||
|
|
endif
|
||
|
|
|
||
|
|
do iorder=1,nord
|
||
|
|
misub(1:K-iorder)=0
|
||
|
|
misub(K-iorder+1:K)=1
|
||
|
|
iflag=K-iorder+1
|
||
|
|
do while(iflag .ge.0)
|
||
|
|
if(iorder.eq.nord .and. npre1.eq.0) then
|
||
|
|
iend=iflag
|
||
|
|
else
|
||
|
|
iend=1
|
||
|
|
endif
|
||
|
|
do n1=iflag,iend,-1
|
||
|
|
mi=misub
|
||
|
|
mi(n1)=1
|
||
|
|
if(any(iand(apmaskr(1:K),mi).eq.1)) cycle
|
||
|
|
ntotal=ntotal+1
|
||
|
|
me=ieor(m0,mi)
|
||
|
|
if(n1.eq.iflag) then
|
||
|
|
call mrbencode(me,ce,g2,N,K)
|
||
|
|
e2sub=ieor(ce(K+1:N),hdec(K+1:N))
|
||
|
|
e2=e2sub
|
||
|
|
nd1Kpt=sum(e2sub(1:nt))+1
|
||
|
|
d1=sum(ieor(me(1:K),hdec(1:K))*absrx(1:K))
|
||
|
|
else
|
||
|
|
e2=ieor(e2sub,g2(K+1:N,n1))
|
||
|
|
nd1Kpt=sum(e2(1:nt))+2
|
||
|
|
endif
|
||
|
|
if(nd1Kpt .le. ntheta) then
|
||
|
|
call mrbencode(me,ce,g2,N,K)
|
||
|
|
nxor=ieor(ce,hdec)
|
||
|
|
if(n1.eq.iflag) then
|
||
|
|
dd=d1+sum(e2sub*absrx(K+1:N))
|
||
|
|
else
|
||
|
|
dd=d1+ieor(ce(n1),hdec(n1))*absrx(n1)+sum(e2*absrx(K+1:N))
|
||
|
|
endif
|
||
|
|
if( dd .lt. dmin ) then
|
||
|
|
dmin=dd
|
||
|
|
cw=ce
|
||
|
|
nhardmin=sum(nxor)
|
||
|
|
nd1Kptbest=nd1Kpt
|
||
|
|
endif
|
||
|
|
else
|
||
|
|
nrejected=nrejected+1
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
! Get the next test error pattern, iflag will go negative
|
||
|
|
! when the last pattern with weight iorder has been generated.
|
||
|
|
call nextpat(misub,k,iorder,iflag)
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
|
||
|
|
if(npre2.eq.1) then
|
||
|
|
reset=.true.
|
||
|
|
ntotal=0
|
||
|
|
do i1=K,1,-1
|
||
|
|
do i2=i1-1,1,-1
|
||
|
|
ntotal=ntotal+1
|
||
|
|
mi(1:ntau)=ieor(g2(K+1:K+ntau,i1),g2(K+1:K+ntau,i2))
|
||
|
|
call boxit(reset,mi(1:ntau),ntau,ntotal,i1,i2)
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
|
||
|
|
ncount2=0
|
||
|
|
ntotal2=0
|
||
|
|
reset=.true.
|
||
|
|
! Now run through again and do the second pre-processing rule
|
||
|
|
misub(1:K-nord)=0
|
||
|
|
misub(K-nord+1:K)=1
|
||
|
|
iflag=K-nord+1
|
||
|
|
do while(iflag .ge.0)
|
||
|
|
me=ieor(m0,misub)
|
||
|
|
call mrbencode(me,ce,g2,N,K)
|
||
|
|
e2sub=ieor(ce(K+1:N),hdec(K+1:N))
|
||
|
|
do i2=0,ntau
|
||
|
|
ntotal2=ntotal2+1
|
||
|
|
ui=0
|
||
|
|
if(i2.gt.0) ui(i2)=1
|
||
|
|
r2pat=ieor(e2sub,ui)
|
||
|
|
778 continue
|
||
|
|
call fetchit(reset,r2pat(1:ntau),ntau,in1,in2)
|
||
|
|
if(in1.gt.0.and.in2.gt.0) then
|
||
|
|
ncount2=ncount2+1
|
||
|
|
mi=misub
|
||
|
|
mi(in1)=1
|
||
|
|
mi(in2)=1
|
||
|
|
if(sum(mi).lt.nord+npre1+npre2.or.any(iand(apmaskr(1:K),mi).eq.1)) cycle
|
||
|
|
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)
|
||
|
|
endif
|
||
|
|
goto 778
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
call nextpat(misub,K,nord,iflag)
|
||
|
|
enddo
|
||
|
|
endif
|
||
|
|
|
||
|
|
998 continue
|
||
|
|
! Re-order the codeword to place message bits at the end.
|
||
|
|
cw(indices)=cw
|
||
|
|
hdec(indices)=hdec
|
||
|
|
decoded=cw(M+1:N)
|
||
|
|
cw(colorder+1)=cw ! put the codeword back into received-word order
|
||
|
|
return
|
||
|
|
end subroutine osd204
|
||
|
|
|
||
|
|
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
|
||
|
|
if( ind .lt. 0 ) then ! no more patterns of this order
|
||
|
|
iflag=ind
|
||
|
|
return
|
||
|
|
endif
|
||
|
|
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
|
||
|
|
do i=1,k ! iflag will point to the lowest-index 1 in mi
|
||
|
|
if(mi(i).eq.1) then
|
||
|
|
iflag=i
|
||
|
|
exit
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
return
|
||
|
|
end subroutine nextpat
|
||
|
|
|
||
|
|
subroutine boxit(reset,e2,ntau,npindex,i1,i2)
|
||
|
|
integer*1 e2(1:ntau)
|
||
|
|
integer indexes(4000,2),fp(0:525000),np(4000)
|
||
|
|
logical reset
|
||
|
|
common/boxes/indexes,fp,np
|
||
|
|
|
||
|
|
if(reset) then
|
||
|
|
patterns=-1
|
||
|
|
fp=-1
|
||
|
|
np=-1
|
||
|
|
sc=-1
|
||
|
|
indexes=-1
|
||
|
|
reset=.false.
|
||
|
|
endif
|
||
|
|
|
||
|
|
indexes(npindex,1)=i1
|
||
|
|
indexes(npindex,2)=i2
|
||
|
|
ipat=0
|
||
|
|
do i=1,ntau
|
||
|
|
if(e2(i).eq.1) then
|
||
|
|
ipat=ipat+ishft(1,ntau-i)
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
|
||
|
|
ip=fp(ipat) ! see what's currently stored in fp(ipat)
|
||
|
|
if(ip.eq.-1) then
|
||
|
|
fp(ipat)=npindex
|
||
|
|
else
|
||
|
|
do while (np(ip).ne.-1)
|
||
|
|
ip=np(ip)
|
||
|
|
enddo
|
||
|
|
np(ip)=npindex
|
||
|
|
endif
|
||
|
|
return
|
||
|
|
end subroutine boxit
|
||
|
|
|
||
|
|
subroutine fetchit(reset,e2,ntau,i1,i2)
|
||
|
|
integer indexes(4000,2),fp(0:525000),np(4000)
|
||
|
|
integer lastpat
|
||
|
|
integer*1 e2(ntau)
|
||
|
|
logical reset
|
||
|
|
common/boxes/indexes,fp,np
|
||
|
|
save lastpat,inext
|
||
|
|
|
||
|
|
if(reset) then
|
||
|
|
lastpat=-1
|
||
|
|
reset=.false.
|
||
|
|
endif
|
||
|
|
|
||
|
|
ipat=0
|
||
|
|
do i=1,ntau
|
||
|
|
if(e2(i).eq.1) then
|
||
|
|
ipat=ipat+ishft(1,ntau-i)
|
||
|
|
endif
|
||
|
|
enddo
|
||
|
|
index=fp(ipat)
|
||
|
|
|
||
|
|
if(lastpat.ne.ipat .and. index.gt.0) then ! return first set of indices
|
||
|
|
i1=indexes(index,1)
|
||
|
|
i2=indexes(index,2)
|
||
|
|
inext=np(index)
|
||
|
|
elseif(lastpat.eq.ipat .and. inext.gt.0) then
|
||
|
|
i1=indexes(inext,1)
|
||
|
|
i2=indexes(inext,2)
|
||
|
|
inext=np(inext)
|
||
|
|
else
|
||
|
|
i1=-1
|
||
|
|
i2=-1
|
||
|
|
inext=-1
|
||
|
|
endif
|
||
|
|
lastpat=ipat
|
||
|
|
return
|
||
|
|
end subroutine fetchit
|
||
|
|
|