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/*!
* \file
* \brief EXIT class test program
* \author Bogdan Cristea
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2012 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ is free software: you can redistribute it and/or modify it under the
* terms of the GNU General Public License as published by the Free Software
* Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* IT++ 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 General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#include "itpp/itcomm.h"
#include "gtest/gtest.h"
using namespace itpp;
using namespace std;
TEST(EXIT, All)
{
//test parameters
const double eps = 1e-12;
const vec apriori_mutual_info_expect = "1.803346244821924e-05 0.48594415413293501 0.91282228577448177 0.99902335921776853";
const vec extrinsic_mutual_info_expect = "0.57474253793992003 0.79081789562325711 0.98191798133410091 0.9975400908252704";
const vec extrinsic_mutual_info_p_expect = "0.031706232459936402 0.33837811448717559 0.93275900297128034 0.99710134578550191";
//general parameters
vec sigmaA = "0.01 2 4 7";//standard deviation (sqrt(variance)) of the mutual a priori information
double threshold_value = 50;
string map_metric = "maxlogMAP";
ivec gen = "07 05";//octal form
int constraint_length = 3;
int nb_blocks_lim = 10;
int perm_len = int(itpp::pow10(3.0));//total number of bits in a block (with tail)
double EbN0_dB = 0.8;
double R = 1.0 / 3.0; //coding rate of PCCC
double Ec = 1.0;//coded bit energy
//other parameters
vec sigma2A = sqr(sigmaA);
int sigma2A_len = sigma2A.length();
int nb_bits = perm_len - (constraint_length - 1); //number of bits in a block (without tail)
double sigma2 = (0.5 * Ec / R) * pow(inv_dB(EbN0_dB), -1.0); //N0/2
double Lc = -2 / sigma2; //normalisation factor for intrinsic information (take into account the BPSK modulation)
bvec bits(nb_bits);
bvec tail;
bvec bits_tail(perm_len);
bmat parity_bits;
int coded_bits_len = 2 * perm_len;
bvec coded_bits(coded_bits_len);
vec mod_bits(coded_bits_len);
vec rec_sig(coded_bits_len);
vec intrinsic_coded(coded_bits_len);
vec intrinsic_coded_p(2 * nb_bits);
intrinsic_coded_p.zeros();
vec apriori_data(perm_len);
vec extrinsic_coded;
vec extrinsic_data;
vec apriori_mutual_info(sigma2A_len);
vec extrinsic_mutual_info(sigma2A_len);
vec extrinsic_mutual_info_p(sigma2A_len);
extrinsic_mutual_info.zeros();
extrinsic_mutual_info_p.zeros();
register int en, n, nb_blocks;
//Recursive Systematic Convolutional Code
Rec_Syst_Conv_Code rsc;
rsc.set_generator_polynomials(gen, constraint_length);//initial state should be the zero state
//BPSK modulator
BPSK bpsk;
//AWGN channel
AWGN_Channel channel;
channel.set_noise(sigma2);
//SISO module
SISO siso;
siso.set_generators(gen, constraint_length);
siso.set_map_metric(map_metric);
//EXIT chart
EXIT exit;
//Randomize generators
RNG_reset(12345);
//main loop
for(en = 0; en < sigma2A_len; en++) {
apriori_mutual_info(en) = exit.apriori_mutual_info(sigma2A(en));//a priori mutual info
for(nb_blocks = 0; nb_blocks < nb_blocks_lim; nb_blocks++) {
//bits generation
bits = randb(nb_bits);
//RSC code
rsc.encode_tail(bits, tail, parity_bits);//tail is added
//form coder output
bits_tail = concat(bits, tail);
for(n = 0; n < perm_len; n++) {
coded_bits(2 * n) = bits_tail(n); //systematic output
coded_bits(2 * n + 1) = parity_bits(n, 0); //parity output
}
//BPSK modulation (1->-1,0->+1)
mod_bits = bpsk.modulate_bits(coded_bits);
//AWGN channel
rec_sig = channel(mod_bits);
//first SISO RSC module (tail is added)
//intrinsic info. of coded bits
intrinsic_coded = Lc * rec_sig;
//a priori info. of data bits
apriori_data = exit.generate_apriori_info(bits_tail);
//SISO RSC module
siso.rsc(extrinsic_coded, extrinsic_data, intrinsic_coded, apriori_data, true);
//threshold
extrinsic_data = SISO::threshold(extrinsic_data, threshold_value);
//extrinsic mutual info
extrinsic_mutual_info(en) += exit.extrinsic_mutual_info(extrinsic_data.left(nb_bits), bits);
//second SISO RSC module (no tail added)
//intrinsic info. of coded bits
for(n = 0; n < nb_bits; n++)
intrinsic_coded_p(2 * n + 1) = Lc * rec_sig(2 * n + 1); //parity bits only
//a priori info. of data bits
apriori_data = exit.generate_apriori_info(bits);
//SISO RSC module
siso.rsc(extrinsic_coded, extrinsic_data, intrinsic_coded_p, apriori_data, false);
//threshold
extrinsic_data = SISO::threshold(extrinsic_data, threshold_value);
//extrinsic mutual info
extrinsic_mutual_info_p(en) += exit.extrinsic_mutual_info(extrinsic_data, bits);
}//end blocks (while loop)
//mean extrinsic mutual info over all blocks
extrinsic_mutual_info(en) /= nb_blocks_lim;
extrinsic_mutual_info_p(en) /= nb_blocks_lim;
//check results
ASSERT_NEAR(apriori_mutual_info_expect(en), apriori_mutual_info(en), eps);
ASSERT_NEAR(extrinsic_mutual_info_expect(en), extrinsic_mutual_info(en), eps);
ASSERT_NEAR(extrinsic_mutual_info_p_expect(en), extrinsic_mutual_info_p(en), eps);
}
}