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% File: InitializeWiMaxLDPC.m
%
% Description: Initializes the WiMax LDPC encoder/decoder
%
% The calling syntax is:
% [H_rows, H_cols, P] = InitializeWiMaxLDPC( rate, size, ind )
%
% Where:
% H_rows = a M-row matrix containing the indices of the non-zero rows of H excluding the dual-diagonal portion of H.
% H_cols = a (N-M)+z-row matrix containing the indices of the non-zeros rows of H.
% P = a z times z matrix used in encoding
%
% rate = the code rate
% size = the size of the code (number of code bits):
% = 576:96:2304
% ind = Selects either code 'A' or 'B' for rates 2/3 and 3/4
% = 0 for code rate type 'A'
% = 1 for code rate type 'B'
% = [empty array] for all other code rates
%
% Copyright (C) 2007-2008, Rohit Iyer Seshadri and Matthew C. Valenti
%
% Last updated on June. 23, 2007.
%
% Function InitializeWiMaxLDPC is part of the Iterative Solutions
% Coded Modulation Library. The Iterative Solutions Coded Modulation
% Library is free software; you can redistribute it and/or modify it
% under the terms of the GNU Lesser General Public License as published
% by the Free Software Foundation; either version 2.1 of the License,
% or (at your option) any later version.
%
% This library is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
% Lesser General Public License for more details.
%
% You should have received a copy of the GNU Lesser General Public
% License along with this library; if not, write to the Free Software
% Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
function [H_rows, H_cols,P]= InitializeWiMaxLDPC(rate, nldpc, ind)
epsilon=1e-3;
rt_flag=0;
if (abs(rate-1/2) <epsilon )
rt_flag=1;
Hbm=[-1 94 73 -1 -1 -1 -1 -1 55 83 -1 -1 7 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1;...
-1 27 -1 -1 -1 22 79 9 -1 -1 -1 12 -1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1;...
-1 -1 -1 24 22 81 -1 33 -1 -1 -1 0 -1 -1 0 0 -1 -1 -1 -1 -1 -1 -1 -1;...
61 -1 47 -1 -1 -1 -1 -1 65 25 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 -1;...
-1 -1 39 -1 -1 -1 84 -1 -1 41 72 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1;...
-1 -1 -1 -1 46 40 -1 82 -1 -1 -1 79 0 -1 -1 -1 -1 0 0 -1 -1 -1 -1 -1;...
-1 -1 95 53 -1 -1 -1 -1 -1 14 18 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1;...
-1 11 73 -1 -1 -1 2 -1 -1 47 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 -1;...
12 -1 -1 -1 83 24 -1 43 -1 -1 -1 51 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1;...
-1 -1 -1 -1 -1 94 -1 59 -1 -1 70 72 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1;...
-1 -1 7 65 -1 -1 -1 -1 39 49 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0;...
43 -1 -1 -1 -1 66 -1 41 -1 -1 -1 26 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0];
end
if (abs(rate -2/3) <epsilon)
rt_flag=1;
if (ind ==0)
Hbm =[ 3 0 -1 -1 2 0 -1 3 7 -1 1 1 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1;...
-1 -1 1 -1 36 -1 -1 34 10 -1 -1 18 2 -1 3 0 -1 0 0 -1 -1 -1 -1 -1;...
-1 -1 12 2 -1 15 -1 40 -1 3 -1 15 -1 2 13 -1 -1 -1 0 0 -1 -1 -1 -1;...
-1 -1 19 24 -1 3 0 -1 6 -1 17 -1 -1 -1 8 39 -1 -1 -1 0 0 -1 -1 -1;...
20 -1 6 -1 -1 10 29 -1 -1 28 -1 14 -1 38 -1 -1 0 -1 -1 -1 0 0 -1 -1;...
-1 -1 10 -1 28 20 -1 -1 8 -1 36 -1 9 -1 21 45 -1 -1 -1 -1 -1 0 0 -1;...
35 25 -1 37 -1 21 -1 -1 5 -1 -1 0 -1 4 20 -1 -1 -1 -1 -1 -1 -1 0 0;...
-1 6 6 -1 -1 -1 4 -1 14 30 -1 3 36 -1 14 -1 1 -1 -1 -1 -1 -1 -1 0];
elseif (ind ==1)
Hbm =[2 -1 19 -1 47 -1 48 -1 36 -1 82 -1 47 -1 15 -1 95 0 -1 -1 -1 -1 -1 -1;...
-1 69 -1 88 -1 33 -1 3 -1 16 -1 37 -1 40 -1 48 -1 0 0 -1 -1 -1 -1 -1;...
10 -1 86 -1 62 -1 28 -1 85 -1 16 -1 34 -1 73 -1 -1 -1 0 0 -1 -1 -1 -1;...
-1 28 -1 32 -1 81 -1 27 -1 88 -1 5 -1 56 -1 37 -1 -1 -1 0 0 -1 -1 -1 ;...
23 -1 29 -1 15 -1 30 -1 66 -1 24 -1 50 -1 62 -1 -1 -1 -1 -1 0 0 -1 -1;...
-1 30 -1 65 -1 54 -1 14 -1 0 -1 30 -1 74 -1 0 -1 -1 -1 -1 -1 0 0 -1;...
32 -1 0 -1 15 -1 56 -1 85 -1 5 -1 6 -1 52 -1 0 -1 -1 -1 -1 -1 0 0;...
-1 0 -1 47 -1 13 -1 61 -1 84 -1 55 -1 78 -1 41 95 -1 -1 -1 -1 -1 -1 0];
end
end
if (abs(rate-3/4)<epsilon)
rt_flag=1;
if (ind ==0)
Hbm=[6 38 3 93 -1 -1 -1 30 70 -1 86 -1 37 38 4 11 -1 46 48 0 -1 -1 -1 -1;...
62 94 19 84 -1 92 78 -1 15 -1 -1 92 -1 45 24 32 30 -1 -1 0 0 -1 -1 -1;...
71 -1 55 -1 12 66 45 79 -1 78 -1 -1 10 -1 22 55 70 82 -1 -1 0 0 -1 -1;...
38 61 -1 66 9 73 47 64 -1 39 61 43 -1 -1 -1 -1 95 32 0 -1 -1 0 0 -1;...
-1 -1 -1 -1 32 52 55 80 95 22 6 51 24 90 44 20 -1 -1 -1 -1 -1 -1 0 0;...
-1 63 31 88 20 -1 -1 -1 6 40 56 16 71 53 -1 -1 27 26 48 -1 -1 -1 -1 0];
elseif (ind ==1)
Hbm= [-1 81 -1 28 -1 -1 14 25 17 -1 -1 85 29 52 78 95 22 92 0 0 -1 -1 -1 -1;...
42 -1 14 68 32 -1 -1 -1 -1 70 43 11 36 40 33 57 38 24 -1 0 0 -1 -1 -1;...
-1 -1 20 -1 -1 63 39 -1 70 67 -1 38 4 72 47 29 60 5 80 -1 0 0 -1 -1;...
64 2 -1 -1 63 -1 -1 3 51 -1 81 15 94 9 85 36 14 19 -1 -1 -1 0 0 -1;...
-1 53 60 80 -1 26 75 -1 -1 -1 -1 86 77 1 3 72 60 25 -1 -1 -1 -1 0 0;...
77 -1 -1 -1 15 28 -1 38 -1 72 30 68 85 84 26 64 11 89 0 -1 -1 -1 -1 0];
end
end
if (abs(rate-5/6)<epsilon)
rt_flag=1;
Hbm= [1 25 55 -1 47 4 -1 91 84 8 86 52 82 33 5 0 36 20 4 77 80 0 -1 -1;...
-1 6 -1 36 40 47 12 79 47 -1 41 21 12 71 14 72 0 44 49 0 0 0 0 -1;...
51 81 83 4 67 -1 21 -1 31 24 91 61 81 9 86 78 60 88 67 15 -1 -1 0 0;...
50 -1 50 15 -1 36 13 10 11 20 53 90 29 92 57 30 84 92 11 66 80 -1 -1 0];
end
if (rt_flag ==0)
error('This rate is not supported');
end
if(length(find(nldpc==[576:96:2304]))~=1)
error('This codeword length is not supported');
end
z =nldpc/24;
z0 =96;
[m, n]= size(Hbm);
row_ind=zeros(1,n);
col_ind=zeros(1,m);
cnt1=1;
for i=1:m
row_ind(i) =length( find(Hbm(i, :)~=-1));
cnt2=1;
for j=1:n
col_ind(j) =length( find(Hbm(:, j)~=-1));
if (Hbm(i,j) ==-1)
H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)= zeros(z,z);
end
if (Hbm(i, j) ==0)
H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)= eye(z);
end
if (Hbm(i, j) >0)
if ((rate ==2/3)&&(ind ==0))
H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)=circshift( eye(z),[0,mod(Hbm(i,j),z)]);
else
H(cnt1:cnt1+z-1, cnt2:cnt2+z-1)= circshift( eye(z),[0,floor(Hbm(i,j)*z/z0)]);
end
end
cnt2=cnt2+z;
end
cnt1=cnt1+z;
end
P =eye(z);
if ((rate ==3/4) && (ind ==1))
P=inv(circshift( eye(z),[0,floor(80*z/z0)]));
end
[mldpc, nldpc]=size(H);
H_rows=zeros(mldpc, max(row_ind)-2);
H_cols=zeros((nldpc-mldpc)+z , max(col_ind));
for i=1:mldpc
[a,b]=find(H(i,1:(nldpc-mldpc)+z)==1);
H_rows(i,1:length(b))=[b];
end
for i=1:(nldpc-mldpc)+z
[a1,b1]=find(H(:,i)==1);
H_cols(i,1:length(b1))=[a1'];
end
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