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LAYER.m
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% QCLDPC performance analysis for layered decoding
% check the path of the Base graph:
clear all;
bspath = 'C:\Program Files\MATLAB\R2019a\toolbox\5g\5g\+nr5g\+internal\+ldpc\baseGraph';
% parameters
Es = 1; % energy per symbol
max_iter = 15; % max iteration count
bgn = 1; % bbase graph number
C = 1000; % minimun simulation times per SNR
Zc = 32; % lifting size
K = 22*Zc; % message length
thres = 1000; % minimun error count per SNR
code_rate = 1/2; % code rate
snrdb = [0:0.2:2]; % SNR for simultion (in dB)
ber_res = zeros(1,length(snrdb)); % saving BER(bit error rate)
rng(0); % set random seed
err_limit = 10e-9; % minimun error rate
running = true;
% initailize QCLDPC PCM(partiy check matrix)
[LDPCParityCheckMatrix, B] = getPCM(bgn, K, code_rate, bspath);
% LDPC encode & decoder setting
encldpc = comm.LDPCEncoder(LDPCParityCheckMatrix);
mydecldpc = mydecoder(LDPCParityCheckMatrix, max_iter);
% simulate per SNR
for jj = 1:length(snrdb)
snr = 10^(snrdb(jj)/10);
% apply PSK modulator and demodulator
pskModulator = comm.PSKModulator(...
'ModulationOrder', 4,...
'BitInput', true, ...
'PhaseOffset', pi / 4, ...
'SymbolMapping', 'Custom', ...
'CustomSymbolMapping', [0 2 3 1]);
pskDemodulator = comm.PSKDemodulator(...
'ModulationOrder', 4, ...
'BitOutput', true, ...
'PhaseOffset', pi /4 , ...
'SymbolMapping', 'Custom', ...
'CustomSymbolMapping', [0 2 3 1], ...
'DecisionMethod', 'Approximate log-likelihood ratio', ...
'Variance', Es/snr);
chan = comm.AWGNChannel(...
'NoiseMethod', 'Variance',...
'Variance', Es/snr);
% Get the constellation
cacheBitInput = pskModulator.BitInput;
pskModulator.BitInput = false;
constellation = pskModulator((0:pskModulator.ModulationOrder-1)');
release(pskModulator);
pskModulator.BitInput = cacheBitInput;
error_cnt = 0;
error_cnt2 = 0;
error_cnt3 = 0;
time_cnt = 0;
% iterate C times
for ii = 1:C
% ii
message = randi([0, 1], K, 1);
ldpcEncOut = encldpc(message);
modOut = pskModulator(ldpcEncOut);
chanOut = chan(modOut);
demodOut = pskDemodulator(chanOut);
tic;
ldpcDecOut = mydecldpc.decodeSP_layer(demodOut')';
time_cnt = time_cnt + toc;
if sum(message ~= ldpcDecOut, 'all') ~= 0
% ii
error_cnt = error_cnt + sum(message ~= ldpcDecOut, 'all');
end
end
% iterate to minimun error count
num = 0;
while error_cnt < thres
num = num + 1;
message = randi([0, 1], K, 1);
ldpcEncOut = encldpc(message);
modOut = pskModulator(ldpcEncOut);
chanOut = chan(modOut);
demodOut = pskDemodulator(chanOut);
tic;
ldpcDecOut = mydecldpc.decodeSP_layer(demodOut')';
time_cnt = time_cnt + toc;
if sum(message ~= ldpcDecOut, 'all') ~= 0
% num+C
error_cnt = error_cnt + sum(message ~= ldpcDecOut, 'all');
end
end
% calculate BER & show
ber_res(1,jj) = error_cnt / K / (C+num);
fprintf("(MAT) BER is %.5f at snr %0.1fdB spending %03.2fs\n", ber_res(1,jj), snrdb(jj), time_cnt);
end
function [PCM, P] = getPCM(bgn, info_length, code_rate, bspath)
% Check the size & calculate lifting size
% Base graph 1 is 46 * 68
% Base graph 2 is 42 * 52
if bgn == 1
if mod(info_length, 22) ~= 0
error("InValid data length %d, it must be mutiple of 22 for base graph 1", info_length)
end
Zc = info_length / 22;
elseif bgn == 2
if mod(info_length, 10) ~= 0
error("InValid data length %d, it must be mutiple of 10 for base graph 2", info_length)
end
Zc = info_length / 10;
else
error("InValid index: No base graph number %d", bgn)
end
% load base graph
persistent bgs
if isempty(bgs)
bgs = coder.load(bspath);
end
% Get lifting set number
ZSets = {[2 4 8 16 32 64 128 256],... % Set 1
[3 6 12 24 48 96 192 384],... % Set 2
[5 10 20 40 80 160 320],... % Set 3
[7 14 28 56 112 224],... % Set 4
[9 18 36 72 144 288],... % Set 5
[11 22 44 88 176 352],... % Set 6
[13 26 52 104 208],... % Set 7
[15 30 60 120 240]}; % Set 8
for setIdx = 1:8
if any(Zc==ZSets{setIdx})
break;
end
end
switch bgn
case 1
switch setIdx
case 1
V = bgs.BG1S1;
case 2
V = bgs.BG1S2;
case 3
V = bgs.BG1S3;
case 4
V = bgs.BG1S4;
case 5
V = bgs.BG1S5;
case 6
V = bgs.BG1S6;
case 7
V = bgs.BG1S7;
otherwise % 8
V = bgs.BG1S8;
end
switch code_rate
case 1/2
V = V(1:24, 1:46);
case 2/3
V = V(1:13, 1:35);
case 2/5
V = V(1:35, 1:57);
case 1/3
V = V;
otherwise
error("Not supporting code rate")
end
otherwise % bgn = 2
switch setIdx
case 1
V = bgs.BG2S1;
case 2
V = bgs.BG2S2;
case 3
V = bgs.BG2S3;
case 4
V = bgs.BG2S4;
case 5
V = bgs.BG2S5;
case 6
V = bgs.BG2S6;
case 7
V = bgs.BG2S7;
otherwise % 8
V = bgs.BG2S8;
end
switch code_rate
case 1/2
V = V(1:12, 1:22);
case 1/3
V = V(1:22, 1:32);
case 1/5
V = V;
otherwise
error("Not supporting code rate")
end
end
% Get shift values matrix & construct PCM
P = nr5g.internal.ldpc.calcShiftValues(V,Zc);
% construct Full PCM
[row, col] = size(P);
PCM = zeros(row*Zc, col*Zc);
for ii = 1 : row
for jj = 1 : col
if P(ii,jj) ~= -1
row_from = (ii-1)*Zc + 1;
row_to = ii*Zc;
col_from = (jj-1)*Zc + 1;
col_to = jj*Zc;
PCM(row_from:row_to, col_from:col_to) = circshift(eye(Zc), P(ii,jj), 2);
end
end
end
PCM = sparse(PCM);
end