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										 |  |  | program ldpcsim204 | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | ! End-to-end test of the (300,60)/crc10 encoder and decoders. | 
					
						
							|  |  |  | 
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							|  |  |  | use crc | 
					
						
							|  |  |  | use packjt | 
					
						
							|  |  |  | 
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							|  |  |  | parameter(NRECENT=10) | 
					
						
							|  |  |  | character*12 recent_calls(NRECENT) | 
					
						
							|  |  |  | character*8 arg | 
					
						
							|  |  |  | integer*1, allocatable ::  codeword(:), decoded(:), message(:) | 
					
						
							|  |  |  | integer*1, target:: i1Msg8BitBytes(9) | 
					
						
							|  |  |  | integer*1, target:: i1Dec8BitBytes(9) | 
					
						
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										 |  |  | integer*1 msgbits(68) | 
					
						
							|  |  |  | integer*1 apmask(204) | 
					
						
							|  |  |  | integer*1 cw(204) | 
					
						
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										 |  |  | integer*2 checksum | 
					
						
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										 |  |  | integer colorder(204) | 
					
						
							|  |  |  | integer nerrtot(204),nerrdec(204),nmpcbad(68) | 
					
						
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										 |  |  | logical checksumok,fsk,bpsk | 
					
						
							|  |  |  | real*8, allocatable ::  rxdata(:) | 
					
						
							|  |  |  | real, allocatable :: llr(:) | 
					
						
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										 |  |  | real dllr(204),llrd(204) | 
					
						
							|  |  |  | 
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							|  |  |  | data colorder/                                                              & | 
					
						
							|  |  |  |          0,  1,  2,  3,  4,  5, 47,  6,  7,  8,  9, 10, 11, 12, 58, 55, 13, & | 
					
						
							|  |  |  |         14, 15, 46, 17, 18, 60, 19, 20, 21, 22, 23, 24, 25, 57, 26, 27, 49, & | 
					
						
							|  |  |  |         28, 52, 65, 16, 50, 73, 59, 68, 63, 29, 30, 31, 32, 51, 62, 56, 66, & | 
					
						
							|  |  |  |         45, 33, 34, 53, 67, 35, 36, 37, 61, 69, 54, 38, 71, 82, 39, 77, 80, & | 
					
						
							|  |  |  |         83, 78, 84, 48, 41, 85, 40, 64, 75, 96, 74, 72, 76, 86, 87, 89, 90, & | 
					
						
							|  |  |  |         79, 70, 92, 99, 93,101, 95,100, 97, 94, 42, 98,103,105,102, 43,104, & | 
					
						
							|  |  |  |         88, 44,106, 81,107,110,108,111,112,109,113,114,117,118,116,121,115, & | 
					
						
							|  |  |  |        119,122,120,125,129,124,127,126,128, 91,123,133,131,130,134,135,137, & | 
					
						
							|  |  |  |        136,132,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152, & | 
					
						
							|  |  |  |        153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169, & | 
					
						
							|  |  |  |        170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186, & | 
					
						
							|  |  |  |        187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203/ | 
					
						
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										 |  |  | 
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							|  |  |  | do i=1,NRECENT | 
					
						
							|  |  |  |   recent_calls(i)='            ' | 
					
						
							|  |  |  | enddo | 
					
						
							|  |  |  | nerrtot=0 | 
					
						
							|  |  |  | nerrdec=0 | 
					
						
							|  |  |  | nmpcbad=0  ! Used to collect the number of errors in the message+crc part of the codeword | 
					
						
							|  |  |  | 
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							|  |  |  | nargs=iargc() | 
					
						
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										 |  |  | if(nargs.ne.4) then | 
					
						
							|  |  |  |    print*,'Usage: ldpcsim  niter ndeep  #trials  s ' | 
					
						
							|  |  |  |    print*,'eg:    ldpcsim   100    4     1000    0.84' | 
					
						
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										 |  |  |    print*,'If s is negative, then value is ignored and sigma is calculated from SNR.' | 
					
						
							|  |  |  |    return | 
					
						
							|  |  |  | endif | 
					
						
							|  |  |  | call getarg(1,arg) | 
					
						
							|  |  |  | read(arg,*) max_iterations  | 
					
						
							|  |  |  | call getarg(2,arg) | 
					
						
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										 |  |  | read(arg,*) ndeep | 
					
						
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										 |  |  | call getarg(3,arg) | 
					
						
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										 |  |  | read(arg,*) ntrials  | 
					
						
							|  |  |  | call getarg(4,arg) | 
					
						
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										 |  |  | read(arg,*) s | 
					
						
							|  |  |  | 
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							|  |  |  | fsk=.false. | 
					
						
							|  |  |  | bpsk=.true. | 
					
						
							|  |  |  | 
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										 |  |  | N=204 | 
					
						
							|  |  |  | K=68 | 
					
						
							|  |  |  | rate=real(K)/real(N) | 
					
						
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										 |  |  | 
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							|  |  |  | write(*,*) "rate: ",rate | 
					
						
							|  |  |  | write(*,*) "niter= ",max_iterations," s= ",s | 
					
						
							|  |  |  | 
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							|  |  |  | allocate ( codeword(N), decoded(K), message(K) ) | 
					
						
							|  |  |  | allocate ( rxdata(N), llr(N) ) | 
					
						
							|  |  |  | 
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							|  |  |  | ! The message should be packed into the first 7 bytes | 
					
						
							|  |  |  |   i1Msg8BitBytes(1:6)=85 | 
					
						
							|  |  |  |   i1Msg8BitBytes(7)=64 | 
					
						
							|  |  |  | ! The CRC will be put into the last 2 bytes | 
					
						
							|  |  |  |   i1Msg8BitBytes(8:9)=0 | 
					
						
							|  |  |  |   checksum = crc10 (c_loc (i1Msg8BitBytes), 9) | 
					
						
							|  |  |  | ! For reference, the next 3 lines show how to check the CRC | 
					
						
							|  |  |  |   i1Msg8BitBytes(8)=checksum/256 | 
					
						
							|  |  |  |   i1Msg8BitBytes(9)=iand (checksum,255) | 
					
						
							|  |  |  |   checksumok = crc10_check(c_loc (i1Msg8BitBytes), 9) | 
					
						
							|  |  |  |   if( checksumok ) write(*,*) 'Good checksum' | 
					
						
							|  |  |  | write(*,*) i1Msg8BitBytes(1:9) | 
					
						
							|  |  |  | 
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							|  |  |  |   mbit=0 | 
					
						
							|  |  |  |   do i=1, 7  | 
					
						
							|  |  |  |     i1=i1Msg8BitBytes(i) | 
					
						
							|  |  |  |     do ibit=1,8 | 
					
						
							|  |  |  |       mbit=mbit+1 | 
					
						
							|  |  |  |       msgbits(mbit)=iand(1,ishft(i1,ibit-8)) | 
					
						
							|  |  |  |     enddo | 
					
						
							|  |  |  |   enddo | 
					
						
							|  |  |  |   i1=i1Msg8BitBytes(8) ! First 2 bits of crc10 are LSB of this byte | 
					
						
							|  |  |  |   do ibit=1,2 | 
					
						
							|  |  |  |     msgbits(50+ibit)=iand(1,ishft(i1,ibit-2)) | 
					
						
							|  |  |  |   enddo | 
					
						
							|  |  |  |   i1=i1Msg8BitBytes(9) ! Now shift in last 8 bits of the CRC | 
					
						
							|  |  |  |   do ibit=1,8 | 
					
						
							|  |  |  |     msgbits(52+ibit)=iand(1,ishft(i1,ibit-8)) | 
					
						
							|  |  |  |   enddo | 
					
						
							|  |  |  | 
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							|  |  |  |   write(*,*) 'message' | 
					
						
							|  |  |  |   write(*,'(9(8i1,1x))') msgbits | 
					
						
							|  |  |  | 
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										 |  |  |   call encode204(msgbits,codeword) | 
					
						
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										 |  |  |   call init_random_seed() | 
					
						
							|  |  |  |   call sgran() | 
					
						
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							|  |  |  |   write(*,*) 'codeword'  | 
					
						
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										 |  |  |   write(*,'(204i1)') codeword | 
					
						
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							|  |  |  | write(*,*) "Es/N0  SNR2500   ngood  nundetected nbadcrc   sigma" | 
					
						
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										 |  |  | do idb = 20,-18,-1 | 
					
						
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										 |  |  | !do idb = -16, -16, -1  | 
					
						
							|  |  |  |   db=idb/2.0-1.0 | 
					
						
							|  |  |  | !  sigma=1/sqrt( 2*rate*(10**(db/10.0)) )  ! to make db represent Eb/No | 
					
						
							|  |  |  |   sigma=1/sqrt( 2*(10**(db/10.0)) )        ! db represents Es/No | 
					
						
							|  |  |  |   ngood=0 | 
					
						
							|  |  |  |   nue=0 | 
					
						
							|  |  |  |   nbadcrc=0 | 
					
						
							|  |  |  |   nberr=0 | 
					
						
							|  |  |  |   do itrial=1, ntrials | 
					
						
							|  |  |  | ! Create a realization of a noisy received word | 
					
						
							|  |  |  |     do i=1,N | 
					
						
							|  |  |  |       if( bpsk ) then | 
					
						
							|  |  |  |         rxdata(i) = 2.0*codeword(i)-1.0 + sigma*gran() | 
					
						
							|  |  |  |       elseif( fsk ) then | 
					
						
							|  |  |  |         if( codeword(i) .eq. 1 ) then | 
					
						
							|  |  |  |           r1=(1.0 + sigma*gran())**2 + (sigma*gran())**2 | 
					
						
							|  |  |  |           r2=(sigma*gran())**2 + (sigma*gran())**2 | 
					
						
							|  |  |  |         elseif( codeword(i) .eq. 0 ) then | 
					
						
							|  |  |  |           r2=(1.0 + sigma*gran())**2 + (sigma*gran())**2 | 
					
						
							|  |  |  |           r1=(sigma*gran())**2 + (sigma*gran())**2 | 
					
						
							|  |  |  |         endif  | 
					
						
							|  |  |  |         rxdata(i)=0.35*(sqrt(r1)-sqrt(r2)) | 
					
						
							|  |  |  | !        rxdata(i)=0.35*(exp(r1)-exp(r2)) | 
					
						
							|  |  |  | !        rxdata(i)=0.12*(log(r1)-log(r2)) | 
					
						
							|  |  |  |       endif | 
					
						
							|  |  |  |     enddo | 
					
						
							|  |  |  |     nerr=0 | 
					
						
							|  |  |  |     do i=1,N | 
					
						
							|  |  |  |       if( rxdata(i)*(2*codeword(i)-1.0) .lt. 0 ) nerr=nerr+1 | 
					
						
							|  |  |  |     enddo | 
					
						
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										 |  |  |     if(nerr.ge.1) nerrtot(nerr)=nerrtot(nerr)+1 | 
					
						
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										 |  |  |     nberr=nberr+nerr | 
					
						
							|  |  |  | 
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							|  |  |  | ! Correct signal normalization is important for this decoder. | 
					
						
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										 |  |  |     rxav=sum(rxdata)/N | 
					
						
							|  |  |  |     rx2av=sum(rxdata*rxdata)/N | 
					
						
							|  |  |  |     rxsig=sqrt(rx2av-rxav*rxav) | 
					
						
							|  |  |  |     rxdata=rxdata/rxsig | 
					
						
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										 |  |  | ! To match the metric to the channel, s should be set to the noise standard deviation.  | 
					
						
							|  |  |  | ! For now, set s to the value that optimizes decode probability near threshold.  | 
					
						
							|  |  |  | ! The s parameter can be tuned to trade a few tenth's dB of threshold for an order of | 
					
						
							|  |  |  | ! magnitude in UER  | 
					
						
							|  |  |  |     if( s .lt. 0 ) then | 
					
						
							|  |  |  |       ss=sigma | 
					
						
							|  |  |  |     else  | 
					
						
							|  |  |  |       ss=s | 
					
						
							|  |  |  |     endif | 
					
						
							|  |  |  | 
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							|  |  |  |     llr=2.0*rxdata/(ss*ss) | 
					
						
							|  |  |  |     apmask=0 | 
					
						
							|  |  |  | ! max_iterations is max number of belief propagation iterations | 
					
						
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										 |  |  |     call bpdecode204(llr,apmask,max_iterations,decoded,cw,nharderror,niterations) | 
					
						
							|  |  |  |     if( (nharderror .lt. 0) .and. (ndeep .ge. 0) ) then | 
					
						
							|  |  |  |        call osd204(llr, apmask, ndeep, decoded, cw, nhardmin, dmin) | 
					
						
							|  |  |  |        niterations=nhardmin | 
					
						
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										 |  |  |     endif | 
					
						
							|  |  |  |     n2err=0 | 
					
						
							|  |  |  |     do i=1,N | 
					
						
							|  |  |  |       if( cw(i)*(2*codeword(i)-1.0) .lt. 0 ) n2err=n2err+1 | 
					
						
							|  |  |  |     enddo | 
					
						
							|  |  |  | !write(*,*) nerr,niterations,n2err | 
					
						
							|  |  |  |     damp=0.75 | 
					
						
							|  |  |  |     ndither=0 | 
					
						
							|  |  |  |     if( niterations .lt. 0 ) then | 
					
						
							|  |  |  |       do i=1, ndither | 
					
						
							|  |  |  |         do in=1,N | 
					
						
							|  |  |  |           dllr(in)=damp*gran()   | 
					
						
							|  |  |  |         enddo | 
					
						
							|  |  |  |         llrd=llr+dllr       | 
					
						
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										 |  |  |         call bpdecode300(llrd, apmask, max_iterations, decoded, cw, nharderror, niterations) | 
					
						
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										 |  |  |         if( niterations .ge. 0 ) exit  | 
					
						
							|  |  |  |       enddo | 
					
						
							|  |  |  |     endif   | 
					
						
							|  |  |  | 
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							|  |  |  | ! If the decoder finds a valid codeword, niterations will be .ge. 0. | 
					
						
							|  |  |  |     if( niterations .ge. 0 ) then | 
					
						
							|  |  |  | ! Check the CRC | 
					
						
							|  |  |  |       do ibyte=1,6 | 
					
						
							|  |  |  |         itmp=0 | 
					
						
							|  |  |  |         do ibit=1,8 | 
					
						
							|  |  |  |           itmp=ishft(itmp,1)+iand(1,decoded((ibyte-1)*8+ibit)) | 
					
						
							|  |  |  |         enddo | 
					
						
							|  |  |  |         i1Dec8BitBytes(ibyte)=itmp | 
					
						
							|  |  |  |       enddo | 
					
						
							|  |  |  |       i1Dec8BitBytes(7)=decoded(49)*128+decoded(50)*64 | 
					
						
							|  |  |  | ! Need to pack the received crc into bytes 8 and 9 for crc10_check | 
					
						
							|  |  |  |       i1Dec8BitBytes(8)=decoded(51)*2+decoded(52) | 
					
						
							|  |  |  |       i1Dec8BitBytes(9)=decoded(53)*128+decoded(54)*64+decoded(55)*32+decoded(56)*16 | 
					
						
							|  |  |  |       i1Dec8BitBytes(9)=i1Dec8BitBytes(9)+decoded(57)*8+decoded(58)*4+decoded(59)*2+decoded(60)*1 | 
					
						
							|  |  |  |       ncrcflag=0 | 
					
						
							|  |  |  |       if( crc10_check( c_loc( i1Dec8BitBytes ), 9 ) ) ncrcflag=1 | 
					
						
							|  |  |  | 
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							|  |  |  |       if( ncrcflag .ne. 1 ) then | 
					
						
							|  |  |  |         nbadcrc=nbadcrc+1 | 
					
						
							|  |  |  |       endif | 
					
						
							|  |  |  |       nueflag=0 | 
					
						
							|  |  |  | 
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							|  |  |  |       nerrmpc=0 | 
					
						
							|  |  |  |       do i=1,K   ! find number of errors in message+crc part of codeword | 
					
						
							|  |  |  |         if( msgbits(i) .ne. decoded(i) ) then | 
					
						
							|  |  |  |           nueflag=1 | 
					
						
							|  |  |  |           nerrmpc=nerrmpc+1  | 
					
						
							|  |  |  |         endif | 
					
						
							|  |  |  |       enddo | 
					
						
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										 |  |  |       if(nerrmpc.ge.1) nmpcbad(nerrmpc)=nmpcbad(nerrmpc)+1  ! This histogram should inform our selection of CRC poly | 
					
						
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										 |  |  |       if( ncrcflag .eq. 1 .and. nueflag .eq. 0 ) then | 
					
						
							|  |  |  |         ngood=ngood+1 | 
					
						
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										 |  |  |         if(nerr.ge.1) nerrdec(nerr)=nerrdec(nerr)+1 | 
					
						
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										 |  |  |       else if( ncrcflag .eq. 1 .and. nueflag .eq. 1 ) then | 
					
						
							|  |  |  |         nue=nue+1; | 
					
						
							|  |  |  |       endif | 
					
						
							|  |  |  |     endif | 
					
						
							|  |  |  |   enddo | 
					
						
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										 |  |  |   snr2500=db+10*log10(200.0/116.0/2500.0) | 
					
						
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										 |  |  |   pberr=real(nberr)/(real(ntrials*N)) | 
					
						
							|  |  |  |   write(*,"(f4.1,4x,f5.1,1x,i8,1x,i8,1x,i8,8x,f5.2,8x,e10.3)") db,snr2500,ngood,nue,nbadcrc,ss,pberr | 
					
						
							|  |  |  | 
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							|  |  |  | enddo | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | open(unit=23,file='nerrhisto.dat',status='unknown') | 
					
						
							|  |  |  | do i=1,120 | 
					
						
							|  |  |  |   write(23,'(i4,2x,i10,i10,f10.2)') i,nerrdec(i),nerrtot(i),real(nerrdec(i))/real(nerrtot(i)+1e-10) | 
					
						
							|  |  |  | enddo | 
					
						
							|  |  |  | close(23) | 
					
						
							|  |  |  | open(unit=25,file='nmpcbad.dat',status='unknown') | 
					
						
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										 |  |  | do i=1,68 | 
					
						
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										 |  |  |   write(25,'(i4,2x,i10)') i,nmpcbad(i) | 
					
						
							|  |  |  | enddo | 
					
						
							|  |  |  | close(25) | 
					
						
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										 |  |  | end program ldpcsim204 |