mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2024-11-05 17:01:17 -05:00
410 lines
10 KiB
Fortran
410 lines
10 KiB
Fortran
subroutine osd174_91(llr,k,apmask,ndeep,message91,cw,nhardmin,dmin)
|
|
!
|
|
! An ordered-statistics decoder for the (174,91) code.
|
|
! Message payload is 77 bits. Any or all of a 14-bit CRC can be
|
|
! used for detecting incorrect codewords. The remaining CRC bits are
|
|
! cascaded with the LDPC code for the purpose of improving the
|
|
! distance spectrum of the code.
|
|
!
|
|
! If p1 (0.le.p1.le.14) is the number of CRC14 bits that are
|
|
! to be used for bad codeword detection, then the argument k should
|
|
! be set to 77+p1.
|
|
!
|
|
! Valid values for k are in the range [77,91].
|
|
!
|
|
character*14 c14
|
|
integer, parameter:: N=174
|
|
integer*1 apmask(N),apmaskr(N)
|
|
integer*1, allocatable, save :: gen(:,:)
|
|
integer*1, allocatable :: genmrb(:,:),g2(:,:)
|
|
integer*1, allocatable :: temp(:),m0(:),me(:),mi(:),misub(:),e2sub(:),e2(:),ui(:)
|
|
integer*1, allocatable :: r2pat(:)
|
|
integer indices(N),nxor(N)
|
|
integer*1 cw(N),ce(N),c0(N),hdec(N)
|
|
integer*1, allocatable :: decoded(:)
|
|
integer*1 message91(91),m96(96)
|
|
integer indx(N)
|
|
real llr(N),rx(N),absrx(N)
|
|
|
|
logical first,reset
|
|
data first/.true./
|
|
save first
|
|
|
|
allocate( genmrb(k,N), g2(N,k) )
|
|
allocate( temp(k), m0(k), me(k), mi(k), misub(k), e2sub(N-k), e2(N-k), ui(N-k) )
|
|
allocate( r2pat(N-k), decoded(k) )
|
|
|
|
if( first ) then ! fill the generator matrix
|
|
!
|
|
! Create generator matrix for partial CRC cascaded with LDPC code.
|
|
!
|
|
! Let p2=91-k and p1+p2=14.
|
|
!
|
|
! The last p2 bits of the CRC14 are cascaded with the LDPC code.
|
|
!
|
|
! The first p1=k-77 CRC14 bits will be used for error detection.
|
|
!
|
|
allocate( gen(k,N) )
|
|
gen=0
|
|
do i=1,k
|
|
message91=0
|
|
message91(i)=1
|
|
if(i.le.77) then
|
|
m96=0
|
|
m96(1:91)=message91
|
|
call get_crc14(m96,96,ncrc14)
|
|
write(c14,'(b14.14)') ncrc14
|
|
read(c14,'(14i1)') message91(78:91)
|
|
message91(78:k)=0
|
|
endif
|
|
call encode174_91_nocrc(message91,cw)
|
|
gen(i,:)=cw
|
|
enddo
|
|
|
|
first=.false.
|
|
endif
|
|
|
|
rx=llr
|
|
apmaskr=apmask
|
|
|
|
! 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 mrbencode91(m0,c0,g2,N,k)
|
|
nxor=ieor(c0,hdec)
|
|
nhardmin=sum(nxor)
|
|
dmin=sum(nxor*absrx)
|
|
|
|
cw=c0
|
|
ntotal=0
|
|
nrejected=0
|
|
npre1=0
|
|
npre2=0
|
|
|
|
if(ndeep.eq.0) goto 998 ! norder=0
|
|
if(ndeep.gt.6) ndeep=6
|
|
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
|
|
ntheta=10
|
|
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=1
|
|
nt=40
|
|
ntheta=12
|
|
ntau=17
|
|
elseif(ndeep.eq.5) then
|
|
nord=3
|
|
npre1=1
|
|
npre2=1
|
|
nt=40
|
|
ntheta=12
|
|
ntau=15
|
|
else !ndeep=6
|
|
nord=4
|
|
npre1=1
|
|
npre2=1
|
|
nt=95
|
|
ntheta=12
|
|
ntau=15
|
|
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
|
|
d1=0.
|
|
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 mrbencode91(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 mrbencode91(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 nextpat91(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 boxit91(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 mrbencode91(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 fetchit91(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 mrbencode91(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 nextpat91(misub,k,nord,iflag)
|
|
enddo
|
|
endif
|
|
|
|
998 continue
|
|
! Re-order the codeword to [message bits][parity bits] format.
|
|
cw(indices)=cw
|
|
hdec(indices)=hdec
|
|
message91=cw(1:91)
|
|
m96=0
|
|
m96(1:77)=cw(1:77)
|
|
m96(83:96)=cw(78:91)
|
|
call get_crc14(m96,96,nbadcrc)
|
|
if(nbadcrc.ne.0) nhardmin=-nhardmin
|
|
|
|
return
|
|
end subroutine osd174_91
|
|
|
|
subroutine mrbencode91(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 mrbencode91
|
|
|
|
subroutine nextpat91(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 nextpat91
|
|
|
|
subroutine boxit91(reset,e2,ntau,npindex,i1,i2)
|
|
integer*1 e2(1:ntau)
|
|
integer indexes(5000,2),fp(0:525000),np(5000)
|
|
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 boxit91
|
|
|
|
subroutine fetchit91(reset,e2,ntau,i1,i2)
|
|
integer indexes(5000,2),fp(0:525000),np(5000)
|
|
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 fetchit91
|
|
|