int main(int argc, char *argv[]) { //receiver parameters ivec gen = "0133 0171"; int constraint_length = 7; int const_size = 16;//constellation size int coherence_time = 512;//expressed in symbol durations, multiple of T, T<=coherence_time<=tx_duration, T is the ST code duration double threshold_value = 50; string map_metric="maxlogMAP"; string demapper_method = "mmsePIC";//Hassibi_maxlogMAP or GA or sGA or mmsePIC or zfPIC or Alamouti_maxlogMAP int nb_errors_lim = 1500; int nb_bits_lim = int(1e6); int perm_len = pow2i(14);//permutation length int nb_iter = 5;//number of iterations in the turbo decoder int rec_antennas = 2;//number of reception antennas vec EbN0_dB = "0:20"; double Es = 1.0;//mean symbol energy int em_antennas = 2;//number of emission antennas int channel_uses = 1;//ST code duration string code_name = "V-BLAST_MxN";//V-BLAST_MxN, Golden_2x2, Damen_2x2, Alamouti_2xN bool ideal_channel = false; bool to_file = false; //get parameters if any if (EXIT_FAILURE == get_opts(argc, argv, demapper_method, const_size, nb_errors_lim, nb_bits_lim, perm_len, nb_iter, rec_antennas, em_antennas, channel_uses, code_name, ideal_channel, to_file, EbN0_dB)) { print_help(argv[0]); return EXIT_FAILURE; } //convolutional code generator polynomials Convolutional_Code nsc; nsc.set_generator_polynomials(gen, constraint_length); double coding_rate = 1.0/2.0; //QAM modulator class QAM mod(const_size); //Space-Time code parameters STC st_block_code(code_name, const_size, em_antennas, channel_uses);//generate matrices for LD code (following Hassibi's approach) int symb_block = st_block_code.get_nb_symbols_per_block(); em_antennas = st_block_code.get_nb_emission_antenna();//these parameters could by changed depending on the selected code channel_uses = st_block_code.get_channel_uses(); //recompute interleaver length int G = coherence_time*mod.bits_per_symbol()*symb_block; perm_len = G*(perm_len/G);//recompute interleaver length int block_len = int(coding_rate*perm_len);//informational block length int nb_symb = perm_len/mod.bits_per_symbol();//number of symbols at the modulator output int nb_subblocks = nb_symb/symb_block;//number of blocks of ST code emitted in an interleaver period int tx_duration = channel_uses*nb_subblocks;//transmission duration expressed in number of symbol periods //show configuration parameters std::cout << "const_size = " << const_size << "\ndemapper_method = " << demapper_method << "\nnb_errors_lim = " << nb_errors_lim << "\nnb_bits_lim = " << nb_bits_lim << "\nperm_len = " << perm_len << "\ncode_name = " << code_name << "\nem_antennas = " << em_antennas << "\nchannel_uses = " << channel_uses << "\nnb_iter = " << nb_iter << "\nrec_antennas = " << rec_antennas << "\nEbN0_dB = " << EbN0_dB << std::endl; if (true == ideal_channel) { if (em_antennas == rec_antennas) { std::cout << "Using ideal AWGN MIMO channel (no MAI)" << std::endl; } else { std::cout << "Warning: cannot use ideal AWGN MIMO channel" << std::endl; ideal_channel = false; } } else { std::cout << "Using random MIMO channel (with MAI)" << std::endl; } //fading channel parameters if (coherence_time%channel_uses)//check if the coherence time is a multiple of channel_uses { coherence_time = channel_uses*(coherence_time/channel_uses); std::cout << "Warning! The coherence time must be a multiple of T. Choosing coherence_time=channel_uses*floor(coherence_time/channel_uses) = "\ << coherence_time << std::endl; } if (coherence_time>tx_duration) { coherence_time = channel_uses*(tx_duration/channel_uses); std::cout << "Warning! The coherence time must be <= tx_duration. Choosing coherence_time = channel_uses*floor(tx_duration/channel_uses) = "\ << coherence_time << std::endl; } cmat fading_pattern = ones_c(1, coherence_time/channel_uses); //other parameters string filename = "STBICM_"+map_metric+"_"+demapper_method+".it"; if (true == to_file) { std::cout << "Saving results to " << filename << std::endl; } double R = coding_rate*double(mod.bits_per_symbol()*symb_block)/double(channel_uses);//ST code rate in (info.) bits/channel use vec sigma2 = (0.5*Es/(R*double(mod.bits_per_symbol())))*pow(inv_dB(EbN0_dB), -1.0);//N0/2 int nb_blocks;//number of blocks int nb_errors; bvec bits(block_len);//data bits bvec coded_bits(perm_len);//no tail cvec em(nb_symb); ivec perm(perm_len); ivec inv_perm(perm_len); //SISO demapper vec demapper_apriori_data(perm_len); vec demapper_extrinsic_data(perm_len); //SISO NSC vec nsc_intrinsic_coded(perm_len); vec nsc_apriori_data(block_len); nsc_apriori_data.zeros();//always zero vec nsc_extrinsic_coded(perm_len); vec nsc_extrinsic_data(block_len); //decision bvec rec_bits(block_len); int snr_len = EbN0_dB.length(); mat ber(nb_iter,snr_len); ber.zeros(); register int en,n,ns; cmat S(tx_duration, em_antennas); cmat rec(tx_duration,rec_antennas); //Rayleigh fading cmat ch_attenuations(em_antennas*rec_antennas,tx_duration/channel_uses); //SISO blocks SISO siso; siso.set_map_metric(map_metric); siso.set_generators(gen, constraint_length); siso.set_demapper_method(demapper_method); siso.set_constellation(mod.bits_per_symbol(), mod.get_symbols()/sqrt(em_antennas), mod.get_bits2symbols()); siso.set_st_block_code(st_block_code.get_nb_symbols_per_block(), st_block_code.get_1st_gen_matrix(), st_block_code.get_2nd_gen_matrix(), rec_antennas); //decision BPSK bpsk; //BER BERC berc; //Randomize generators RNG_randomize(); //main loop std::cout << std::endl; for (en=0;en<snr_len;en++) { std::cout << "EbN0_dB = " << EbN0_dB[en] << std::endl; siso.set_noise(sigma2(en)); nb_errors = 0; nb_blocks = 0; while ((nb_errors<nb_errors_lim) && (nb_blocks*block_len<nb_bits_lim))//if at the last iteration the nb. of errors is inferior to lim, then process another block { //permutation perm = sort_index(randu(perm_len)); //inverse permutation inv_perm = sort_index(perm); //bits generation bits = randb(block_len); //convolutional code nsc.encode(bits, coded_bits);//no tail //permutation+QAM modulation em = mod.modulate_bits(coded_bits(perm))/sqrt(em_antennas);//normalize emitted symbols //ST code S = st_block_code.encode(em); /* channel matrices (there are tx_duration/tau_c different channel matrices MxN) * a channel matrix is represented as a M*Nx1 vector (first M elements are the first column of the channel matrix) * the channel matrix is constant over tau_c symbol periods (a multiple of T symbol durations) * the channel matrix is the transpose of the true channel matrix */ if (false == ideal_channel) { ch_attenuations = kron(randn_c(em_antennas*rec_antennas, tx_duration/coherence_time), fading_pattern); } else { cmat mimo_channel = kron(reshape(eye_c(em_antennas), em_antennas*rec_antennas, 1), ones_c(1, tx_duration/coherence_time)); ch_attenuations = kron(mimo_channel, fading_pattern); } //flat-fading MIMO channel for (ns=0;ns<nb_subblocks;ns++) rec.set_submatrix(ns*channel_uses, 0, \ S(ns*channel_uses, (ns+1)*channel_uses-1, 0, em_antennas-1)*reshape(ch_attenuations.get_col(ns), em_antennas, rec_antennas)); rec += sqrt(2*sigma2(en))*randn_c(tx_duration,rec_antennas);//sigma2 is the variance on each dimension //turbo receiver demapper_apriori_data.zeros();//a priori information of emitted bits siso.set_impulse_response(ch_attenuations); for (n=0;n<nb_iter;n++) { //first decoder siso.demapper(demapper_extrinsic_data, rec, demapper_apriori_data); //deinterleave+threshold nsc_intrinsic_coded = SISO::threshold(demapper_extrinsic_data(inv_perm), threshold_value); //second decoder siso.nsc(nsc_extrinsic_coded, nsc_extrinsic_data, nsc_intrinsic_coded, nsc_apriori_data, false); //decision rec_bits = bpsk.demodulate_bits(-nsc_extrinsic_data);//suppose that a priori info is zero //count errors berc.clear(); berc.count(bits, rec_bits); ber(n,en) += berc.get_errorrate(); //interleave demapper_apriori_data = nsc_extrinsic_coded(perm); }//end iterations nb_errors += int(berc.get_errors());//get number of errors at the last iteration nb_blocks++; }//end blocks (while loop) //compute BER over all tx blocks ber.set_col(en, ber.get_col(en)/nb_blocks); } if (true == to_file) { //save results to file it_file ff(filename); ff << Name("BER") << ber; ff << Name("EbN0_dB") << EbN0_dB; ff << Name("gen") << gen; ff << Name("coding_rate") << coding_rate; ff << Name("nb_iter") << nb_iter; ff << Name("block_len") << block_len; ff << Name("nb_errors_lim") << nb_errors_lim; ff << Name("nb_bits_lim") << nb_bits_lim; ff << Name("const_size") << const_size; ff.close(); } else { //show BER cout << "BER = " << ber << endl; } return 0; }
TEST (Demapper, All) { //parameters int const_size = 16; string demapper_method[] = {"Hassibi_maxlogMAP", "GA", "sGA", "mmsePIC", "zfPIC"}; string code_name = "V-BLAST_MxN"; int em_antennas = 2; int rec_antennas = 2; int channel_uses = 1; int perm_len = pow2i(6);//permutation length //QAM modulator class QAM mod(const_size); //Space-Time code parameters STC st_block_code(code_name, const_size, em_antennas, channel_uses);//generate matrices for LD code (following Hassibi's approach) //SISO blocks SISO siso; siso.set_constellation(mod.bits_per_symbol(), mod.get_symbols(), mod.get_bits2symbols()); siso.set_st_block_code(st_block_code.get_nb_symbols_per_block(), st_block_code.get_1st_gen_matrix(), st_block_code.get_2nd_gen_matrix(), rec_antennas); siso.set_noise(1e-1); //bits generation bvec bits = randb(perm_len); //QAM modulation cvec em = mod.modulate_bits(bits)/sqrt(double(em_antennas));//normalize emitted symbols //ST code cmat S = st_block_code.encode(em); //internal variables int symb_block = st_block_code.get_nb_symbols_per_block(); int nb_symb = perm_len/mod.bits_per_symbol();//number of symbols at the modulator output int nb_subblocks = nb_symb/symb_block;//number of blocks of ST code emitted in an interleaver period int tx_duration = channel_uses*nb_subblocks;//transmission duration expressed in number of symbol periods //ideal channel ASSERT_EQ(em_antennas, rec_antennas); cmat mimo_channel = eye_c(em_antennas); cmat rec(tx_duration,rec_antennas); for (int ns=0;ns<nb_subblocks;ns++) { rec.set_submatrix(ns*channel_uses, 0, S(ns*channel_uses, (ns+1)*channel_uses-1, 0, em_antennas-1)* mimo_channel); } //first decoder vec demapper_apriori_data(perm_len); vec demapper_extrinsic_data(perm_len); demapper_apriori_data.zeros();//a priori information of emitted bits cmat ch_att(em_antennas*rec_antennas, tx_duration); ch_att = kron(reshape(mimo_channel, em_antennas*rec_antennas, 1), ones_c(1, tx_duration)); siso.set_impulse_response(ch_att); BERC ber; for (unsigned int n = 0; n < sizeof(demapper_method)/sizeof(demapper_method[0]); ++n) { siso.set_demapper_method(demapper_method[n]); siso.demapper(demapper_extrinsic_data, rec, demapper_apriori_data); //show results ber.count((demapper_extrinsic_data > 0), bits); ASSERT_DOUBLE_EQ(0, ber.get_errorrate()); demapper_extrinsic_data.zeros(); } }