/* * Copyright (C) 2013 Bastian Bloessl * * This program 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. * * This program 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 this program. If not, see . */ #include "utils.h" #include #include #include // constellations for different modulations (normalized to avg power 1) const std::complex BPSK[2] = { std::complex(-1.0, 0.0), std::complex(1.0, 0.0)}; const std::complex BPSK_D[2] = { std::complex(-1.0, 0.0), std::complex(1.0, 0.0)}; const std::complex QPSK[4] = { std::complex(-0.7071, -0.7071), std::complex(-0.7071, 0.7071), std::complex(+0.7071, -0.7071), std::complex(+0.7071, 0.7071)}; const std::complex QPSK_D[4] = { std::complex(-0.7071, -0.7071), std::complex(-0.7071, 0.7071), std::complex(+0.7071, -0.7071), std::complex(+0.7071, 0.7071)}; const std::complex QAM16[16] = { std::complex(-0.9487, -0.9487), std::complex(-0.9487, -0.3162), std::complex(-0.9487, 0.9487), std::complex(-0.9487, 0.3162), std::complex(-0.3162, -0.9487), std::complex(-0.3162, -0.3162), std::complex(-0.3162, 0.9487), std::complex(-0.3162, 0.3162), std::complex(0.9487, -0.9487), std::complex(0.9487, -0.3162), std::complex(0.9487, 0.9487), std::complex(0.9487, 0.3162), std::complex(0.3162, -0.9487), std::complex(0.3162, -0.3162), std::complex(0.3162, 0.9487), std::complex(0.3162, 0.3162)}; const std::complex QAM16_D[16] = { std::complex(-0.9487, -0.9487), std::complex(-0.9487, -0.3162), std::complex(-0.9487, 0.9487), std::complex(-0.9487, 0.3162), std::complex(-0.3162, -0.9487), std::complex(-0.3162, -0.3162), std::complex(-0.3162, 0.9487), std::complex(-0.3162, 0.3162), std::complex(0.9487, -0.9487), std::complex(0.9487, -0.3162), std::complex(0.9487, 0.9487), std::complex(0.9487, 0.3162), std::complex(0.3162, -0.9487), std::complex(0.3162, -0.3162), std::complex(0.3162, 0.9487), std::complex(0.3162, 0.3162)}; const std::complex QAM64[64] = { std::complex(-1.0801, -1.0801), std::complex(-1.0801, -0.7715), std::complex(-1.0801, -0.1543), std::complex(-1.0801, -0.4629), std::complex(-1.0801, 1.0801), std::complex(-1.0801, 0.7715), std::complex(-1.0801, 0.1543), std::complex(-1.0801, 0.4629), std::complex(-0.7715, -1.0801), std::complex(-0.7715, -0.7715), std::complex(-0.7715, -0.1543), std::complex(-0.7715, -0.4629), std::complex(-0.7715, 1.0801), std::complex(-0.7715, 0.7715), std::complex(-0.7715, 0.1543), std::complex(-0.7715, 0.4629), std::complex(-0.1543, -1.0801), std::complex(-0.1543, -0.7715), std::complex(-0.1543, -0.1543), std::complex(-0.1543, -0.4629), std::complex(-0.1543, 1.0801), std::complex(-0.1543, 0.7715), std::complex(-0.1543, 0.1543), std::complex(-0.1543, 0.4629), std::complex(-0.4629, -1.0801), std::complex(-0.4629, -0.7715), std::complex(-0.4629, -0.1543), std::complex(-0.4629, -0.4629), std::complex(-0.4629, 1.0801), std::complex(-0.4629, 0.7715), std::complex(-0.4629, 0.1543), std::complex(-0.4629, 0.4629), std::complex(1.0801, -1.0801), std::complex(1.0801, -0.7715), std::complex(1.0801, -0.1543), std::complex(1.0801, -0.4629), std::complex(1.0801, 1.0801), std::complex(1.0801, 0.7715), std::complex(1.0801, 0.1543), std::complex(1.0801, 0.4629), std::complex(0.7715, -1.0801), std::complex(0.7715, -0.7715), std::complex(0.7715, -0.1543), std::complex(0.7715, -0.4629), std::complex(0.7715, 1.0801), std::complex(0.7715, 0.7715), std::complex(0.7715, 0.1543), std::complex(0.7715, 0.4629), std::complex(0.1543, -1.0801), std::complex(0.1543, -0.7715), std::complex(0.1543, -0.1543), std::complex(0.1543, -0.4629), std::complex(0.1543, 1.0801), std::complex(0.1543, 0.7715), std::complex(0.1543, 0.1543), std::complex(0.1543, 0.4629), std::complex(0.4629, -1.0801), std::complex(0.4629, -0.7715), std::complex(0.4629, -0.1543), std::complex(0.4629, -0.4629), std::complex(0.4629, 1.0801), std::complex(0.4629, 0.7715), std::complex(0.4629, 0.1543), std::complex(0.4629, 0.4629)}; const std::complex QAM64_D[64] = { std::complex(-1.0801, -1.0801), std::complex(-1.0801, -0.7715), std::complex(-1.0801, -0.1543), std::complex(-1.0801, -0.4629), std::complex(-1.0801, 1.0801), std::complex(-1.0801, 0.7715), std::complex(-1.0801, 0.1543), std::complex(-1.0801, 0.4629), std::complex(-0.7715, -1.0801), std::complex(-0.7715, -0.7715), std::complex(-0.7715, -0.1543), std::complex(-0.7715, -0.4629), std::complex(-0.7715, 1.0801), std::complex(-0.7715, 0.7715), std::complex(-0.7715, 0.1543), std::complex(-0.7715, 0.4629), std::complex(-0.1543, -1.0801), std::complex(-0.1543, -0.7715), std::complex(-0.1543, -0.1543), std::complex(-0.1543, -0.4629), std::complex(-0.1543, 1.0801), std::complex(-0.1543, 0.7715), std::complex(-0.1543, 0.1543), std::complex(-0.1543, 0.4629), std::complex(-0.4629, -1.0801), std::complex(-0.4629, -0.7715), std::complex(-0.4629, -0.1543), std::complex(-0.4629, -0.4629), std::complex(-0.4629, 1.0801), std::complex(-0.4629, 0.7715), std::complex(-0.4629, 0.1543), std::complex(-0.4629, 0.4629), std::complex(1.0801, -1.0801), std::complex(1.0801, -0.7715), std::complex(1.0801, -0.1543), std::complex(1.0801, -0.4629), std::complex(1.0801, 1.0801), std::complex(1.0801, 0.7715), std::complex(1.0801, 0.1543), std::complex(1.0801, 0.4629), std::complex(0.7715, -1.0801), std::complex(0.7715, -0.7715), std::complex(0.7715, -0.1543), std::complex(0.7715, -0.4629), std::complex(0.7715, 1.0801), std::complex(0.7715, 0.7715), std::complex(0.7715, 0.1543), std::complex(0.7715, 0.4629), std::complex(0.1543, -1.0801), std::complex(0.1543, -0.7715), std::complex(0.1543, -0.1543), std::complex(0.1543, -0.4629), std::complex(0.1543, 1.0801), std::complex(0.1543, 0.7715), std::complex(0.1543, 0.1543), std::complex(0.1543, 0.4629), std::complex(0.4629, -1.0801), std::complex(0.4629, -0.7715), std::complex(0.4629, -0.1543), std::complex(0.4629, -0.4629), std::complex(0.4629, 1.0801), std::complex(0.4629, 0.7715), std::complex(0.4629, 0.1543), std::complex(0.4629, 0.4629)}; ofdm_param::ofdm_param(Encoding e) { encoding = e; switch(e) { case BPSK_1_2: n_bpsc = 1; n_cbps = 48; n_dbps = 24; rate_field = 0x0D; // 0b00001101 break; case BPSK_3_4: n_bpsc = 1; n_cbps = 48; n_dbps = 36; rate_field = 0x0F; // 0b00001111 break; case QPSK_1_2: n_bpsc = 2; n_cbps = 96; n_dbps = 48; rate_field = 0x05; // 0b00000101 break; case QPSK_3_4: n_bpsc = 2; n_cbps = 96; n_dbps = 72; rate_field = 0x07; // 0b00000111 break; case QAM16_1_2: n_bpsc = 4; n_cbps = 192; n_dbps = 96; rate_field = 0x09; // 0b00001001 break; case QAM16_3_4: n_bpsc = 4; n_cbps = 192; n_dbps = 144; rate_field = 0x0B; // 0b00001011 break; case QAM64_2_3: n_bpsc = 6; n_cbps = 288; n_dbps = 192; rate_field = 0x01; // 0b00000001 break; case QAM64_3_4: n_bpsc = 6; n_cbps = 288; n_dbps = 216; rate_field = 0x03; // 0b00000011 break; defaut: assert(false); break; } } void ofdm_param::print() { std::cout << "OFDM Parameters:" << std::endl; std::cout << "endcoding :" << encoding << std::endl; std::cout << "rate_field :" << (int)rate_field << std::endl; std::cout << "n_bpsc :" << n_bpsc << std::endl; std::cout << "n_cbps :" << n_cbps << std::endl; std::cout << "n_dbps :" << n_dbps << std::endl; } tx_param::tx_param(ofdm_param &ofdm, int psdu_length) { psdu_size = psdu_length; // number of symbols (17-11) n_sym = (int) ceil((16 + 8 * psdu_size + 6) / (double) ofdm.n_dbps); // number of bits of the data field (17-12) n_data = n_sym * ofdm.n_dbps; // number of padding bits (17-13) n_pad = n_data - (16 + 8 * psdu_size + 6); n_encoded_bits = n_sym * ofdm.n_cbps; } void tx_param::print() { std::cout << "TX Parameters:" << std::endl; std::cout << "psdu_size: " << psdu_size << std::endl; std::cout << "n_sym: " << n_sym << std::endl; std::cout << "n_data: " << n_data << std::endl; std::cout << "n_pad: " << n_pad << std::endl; } int get_bit(int b, int i) { return (b & (1 << i) ? 1 : 0); } void scramble(const char *in, char *out, tx_param &tx, char initial_state) { int state = initial_state; int feedback; for (int i = 0; i < tx.n_data; i++) { feedback = (!!(state & 64)) ^ (!!(state & 8)); out[i] = feedback ^ in[i]; state = ((state << 1) & 0x7e) | feedback; } } void reset_tail_bits(char *scrambled_data, tx_param &tx) { memset(scrambled_data + tx.n_data - tx.n_pad - 6, 0, 6 * sizeof(char)); } int ones(int n) { int sum = 0; for(int i = 0; i < 8; i++) { if(n & (1 << i)) { sum++; } } return sum; } void convolutional_encoding(const char *in, char *out, tx_param &tx) { int state = 0; for(int i = 0; i < tx.n_data; i++) { assert(in[i] == 0 || in[i] == 1); state = ((state << 1) & 0x7e) | in[i]; out[i * 2] = ones(state & 0155) % 2; out[i * 2 + 1] = ones(state & 0117) % 2; } } void puncturing(const char *in, char *out, tx_param &tx, ofdm_param &ofdm) { int mod; for (int i = 0; i < tx.n_data * 2; i++) { switch(ofdm.encoding) { case BPSK_1_2: case QPSK_1_2: case QAM16_1_2: *out = in[i]; out++; break; case QAM64_2_3: if (i % 4 != 3) { *out = in[i]; out++; } break; case BPSK_3_4: case QPSK_3_4: case QAM16_3_4: case QAM64_3_4: mod = i % 6; if (!(mod == 3 || mod == 4)) { *out = in[i]; out++; } break; defaut: assert(false); break; } } } void interleave(const char *in, char *out, tx_param &tx, ofdm_param &ofdm, bool reverse) { int n_cbps = ofdm.n_cbps; int first[n_cbps]; int second[n_cbps]; int s = std::max(ofdm.n_bpsc / 2, 1); for(int j = 0; j < n_cbps; j++) { first[j] = s * (j / s) + ((j + int(floor(16.0 * j / n_cbps))) % s); } for(int i = 0; i < n_cbps; i++) { second[i] = 16 * i - (n_cbps - 1) * int(floor(16.0 * i / n_cbps)); } for(int i = 0; i < tx.n_sym; i++) { for(int k = 0; k < n_cbps; k++) { if(reverse) { out[i * n_cbps + second[first[k]]] = in[i * n_cbps + k]; } else { out[i * n_cbps + k] = in[i * n_cbps + second[first[k]]]; } } } } void interleave(const double *in, double *out, tx_param &tx, ofdm_param &ofdm, bool reverse) { int n_cbps = ofdm.n_cbps; int first[n_cbps]; int second[n_cbps]; int s = std::max(ofdm.n_bpsc / 2, 1); for(int j = 0; j < n_cbps; j++) { first[j] = s * (j / s) + ((j + int(floor(16.0 * j / n_cbps))) % s); } for(int i = 0; i < n_cbps; i++) { second[i] = 16 * i - (n_cbps - 1) * int(floor(16.0 * i / n_cbps)); } for(int i = 0; i < tx.n_sym; i++) { for(int k = 0; k < n_cbps; k++) { if(reverse) { out[i * n_cbps + second[first[k]]] = in[i * n_cbps + k]; } else { out[i * n_cbps + k] = in[i * n_cbps + second[first[k]]]; } } } } void split_symbols(const char *in, char *out, tx_param &tx, ofdm_param &ofdm) { int symbols = tx.n_sym * 48; for (int i = 0; i < symbols; i++) { out[i] = 0; for(int k = 0; k < ofdm.n_bpsc; k++) { assert(*in == 1 || *in == 0); out[i] |= (*in << (ofdm.n_bpsc - k - 1)); in++; } } } void generate_signal_field(char *out, tx_param &tx, ofdm_param &ofdm) { //data bits of the signal header char *signal_header = (char *) malloc(sizeof(char) * 24); //signal header after... //convolutional encoding char *encoded_signal_header = (char *) malloc(sizeof(char) * 48); //interleaving char *interleaved_signal_header = (char *) malloc(sizeof(char) * 48); int length = tx.psdu_size; // first 4 bits represent the modulation and coding scheme signal_header[ 0] = get_bit(ofdm.rate_field, 3); signal_header[ 1] = get_bit(ofdm.rate_field, 2); signal_header[ 2] = get_bit(ofdm.rate_field, 1); signal_header[ 3] = get_bit(ofdm.rate_field, 0); // 5th bit is reserved and must be set to 0 signal_header[ 4] = 0; // then 12 bits represent the length signal_header[ 5] = get_bit(length, 0); signal_header[ 6] = get_bit(length, 1); signal_header[ 7] = get_bit(length, 2); signal_header[ 8] = get_bit(length, 3); signal_header[ 9] = get_bit(length, 4); signal_header[10] = get_bit(length, 5); signal_header[11] = get_bit(length, 6); signal_header[12] = get_bit(length, 7); signal_header[13] = get_bit(length, 8); signal_header[14] = get_bit(length, 9); signal_header[15] = get_bit(length, 10); signal_header[16] = get_bit(length, 11); //18-th bit is the parity bit for the first 17 bits int sum = 0; for(int i = 0; i < 17; i++) { if(signal_header[i]) { sum++; } } signal_header[17] = sum % 2; // last 6 bits must be set to 0 for (int i = 0; i < 6; i++) { signal_header[18 + i] = 0; } ofdm_param signal_ofdm(BPSK_1_2); tx_param signal_tx(signal_ofdm, 3); signal_tx.n_data = 24; signal_tx.n_sym = 1; // convolutional encoding (scrambling is not needed) convolutional_encoding(signal_header, encoded_signal_header, signal_tx); // interleaving //interleave(encoded_signal_header, interleaved_signal_header, signal_tx, signal_ofdm); interleave(encoded_signal_header, out, signal_tx, signal_ofdm); free(signal_header); free(encoded_signal_header); free(interleaved_signal_header); } void generate_bits(const char *psdu, char *data_bits, tx_param &tx) { // first 16 bits are zero (SERVICE/DATA field) memset(data_bits, 0, 16); data_bits += 16; for(int i = 0; i < tx.psdu_size; i++) { for(int b = 0; b < 8; b++) { data_bits[i * 8 + b] = !!(psdu[i] & (1 << b)); } } }