/* OFDM modem encoder Copyright 2021 Ahmet Inan */ #include #include #include #include "xorshift.hh" #include "complex.hh" #include "utils.hh" #include "bitman.hh" #include "decibel.hh" #include "fft.hh" #include "wav.hh" #include "pcm.hh" #include "mls.hh" #include "crc.hh" #include "psk.hh" #include "qam.hh" #include "polar_tables.hh" #include "polar_encoder.hh" #include "hadamard_encoder.hh" template struct Encoder { typedef int8_t code_type; static const int symbol_len = (1280 * rate) / 8000; static const int guard_len = symbol_len / 8; static const int bits_max = 65536; static const int data_max = 1024; static const int mls0_poly = 0b1100110001; static const int mls0_seed = 214; static const int mls1_poly = 0b100101011; static const int mls2_poly = 0b100101010001; static const int data_tones = 256; static const int pilot_tones = 32; static const int reserved_tones = 32; static const int tone_count = data_tones + pilot_tones + reserved_tones; static const int block_length = 10; static const int block_skew = 3; static const int pilot_offset = 4; static const int reserved_offset = 9; DSP::WritePCM *pcm; DSP::FastFourierTransform fwd; DSP::FastFourierTransform bwd; CODE::CRC crc0; CODE::HadamardEncoder<6> hadamardenc; CODE::PolarEncoder polarenc; uint8_t input_data[data_max]; code_type code[bits_max], perm[bits_max], mesg[bits_max]; int8_t mode[32]; cmplx fdom[symbol_len]; cmplx tdom[symbol_len]; cmplx temp[symbol_len]; cmplx kern[symbol_len]; cmplx guard[guard_len]; cmplx tone[tone_count]; value weight[guard_len]; value papr_min, papr_max; const uint32_t *frozen_bits; int mod_bits; int data_bits; int data_bytes; int code_order; int tone_off; int symbol_count; static int bin(int carrier) { return (carrier + symbol_len) % symbol_len; } static int nrz(bool bit) { return 1 - 2 * bit; } void clipping_and_filtering(value scale, bool limit) { for (int i = 0; i < symbol_len; ++i) { value pwr = norm(tdom[i]); if (pwr > value(1)) tdom[i] /= sqrt(pwr); } fwd(temp, tdom); for (int i = 0; i < symbol_len; ++i) { if (norm(fdom[i])) { temp[i] *= 1 / (scale * symbol_len); cmplx err = temp[i] - fdom[i]; value mag = abs(err); value lim = 0.1 * mod_distance(); if (limit && mag > lim) temp[i] -= ((mag - lim) / mag) * err; } else { temp[i] = 0; } } bwd(tdom, temp); for (int i = 0; i < symbol_len; ++i) tdom[i] *= scale; } void tone_reservation() { for (int n = 0; n < 100; ++n) { int peak = 0; for (int i = 1; i < symbol_len; ++i) if (norm(tdom[peak]) < norm(tdom[i])) peak = i; cmplx orig = tdom[peak]; if (norm(orig) <= value(1)) break; for (int i = 0; i < symbol_len; ++i) tdom[i] -= orig * kern[(symbol_len-peak+i)%symbol_len]; } } void symbol(bool papr_reduction = true, bool guard_interval = true) { for (int i = 0; i < tone_count; ++i) fdom[bin(i+tone_off)] = tone[i]; bwd(tdom, fdom); value scale = value(0.5) / std::sqrt(value(tone_count)); for (int i = 0; i < symbol_len; ++i) tdom[i] *= scale; clipping_and_filtering(scale, papr_reduction); if (papr_reduction) tone_reservation(); auto clamp = [](value v){ return v < value(-1) ? value(-1) : v > value(1) ? value(1) : v; }; for (int i = 0; i < symbol_len; ++i) tdom[i] = cmplx(clamp(tdom[i].real()), clamp(tdom[i].imag())); for (int i = 0; i < guard_len; ++i) guard[i] = DSP::lerp(guard[i], tdom[i+symbol_len-guard_len], weight[i]); value peak = 0, mean = 0; for (int i = 0; i < symbol_len; ++i) { value power(norm(tdom[i])); peak = std::max(peak, power); mean += power; } mean /= symbol_len; if (mean > 0) { value papr(peak / mean); papr_min = std::min(papr_min, papr); papr_max = std::max(papr_max, papr); } if (guard_interval) pcm->write(reinterpret_cast(guard), guard_len, 2); pcm->write(reinterpret_cast(tdom), symbol_len, 2); for (int i = 0; i < guard_len; ++i) guard[i] = tdom[i]; } void pilot_block() { CODE::MLS seq2(mls2_poly); for (int i = 0; i < tone_count; ++i) tone[i] = nrz(seq2()); symbol(false); } void schmidl_cox() { CODE::MLS seq0(mls0_poly, mls0_seed); for (int i = 0; i < tone_count; ++i) tone[i] = nrz(seq0()); symbol(false); symbol(false, false); } cmplx mod_map(code_type *b) { switch (mod_bits) { case 2: return PhaseShiftKeying<4, cmplx, code_type>::map(b); case 4: return QuadratureAmplitudeModulation<16, cmplx, code_type>::map(b); case 6: return QuadratureAmplitudeModulation<64, cmplx, code_type>::map(b); } return 0; } value mod_distance() { switch (mod_bits) { case 2: return PhaseShiftKeying<4, cmplx, code_type>::DIST; case 4: return QuadratureAmplitudeModulation<16, cmplx, code_type>::DIST; case 6: return QuadratureAmplitudeModulation<64, cmplx, code_type>::DIST; } return 2; } void shuffle(code_type *dest, const code_type *src) { if (code_order == 11) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 2048; ++i) dest[i] = src[seq()]; } else if (code_order == 12) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 4096; ++i) dest[i] = src[seq()]; } else if (code_order == 13) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 8192; ++i) dest[i] = src[seq()]; } else if (code_order == 14) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 16384; ++i) dest[i] = src[seq()]; } else if (code_order == 15) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 32768; ++i) dest[i] = src[seq()]; } else if (code_order == 16) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 65536; ++i) dest[i] = src[seq()]; } } void setup(int oper_mode, int freq_off) { switch (oper_mode) { case 0: symbol_count = 1; break; case 1: mod_bits = 2; symbol_count = 8; code_order = 12; data_bits = 2048; frozen_bits = frozen_4096_2080; break; case 2: mod_bits = 2; symbol_count = 16; code_order = 13; data_bits = 4096; frozen_bits = frozen_8192_4128; break; case 3: mod_bits = 2; symbol_count = 32; code_order = 14; data_bits = 8192; frozen_bits = frozen_16384_8224; break; case 4: mod_bits = 4; symbol_count = 4; code_order = 12; data_bits = 2048; frozen_bits = frozen_4096_2080; break; case 5: mod_bits = 4; symbol_count = 8; code_order = 13; data_bits = 4096; frozen_bits = frozen_8192_4128; break; case 6: mod_bits = 4; symbol_count = 16; code_order = 14; data_bits = 8192; frozen_bits = frozen_16384_8224; break; case 7: mod_bits = 6; symbol_count = 6; code_order = 13; data_bits = 4096; frozen_bits = frozen_8192_4128; break; case 8: mod_bits = 6; symbol_count = 11; code_order = 14; data_bits = 8192; frozen_bits = frozen_16384_8224; break; default: return; } data_bytes = data_bits / 8; int offset = (freq_off * symbol_len) / rate; tone_off = offset - tone_count / 2; } void tone_reservation_kernels() { value mag = 1 / value(10 * reserved_tones); for (int i = 0; i < reserved_tones; ++i) temp[bin(i*block_length+reserved_offset)] = mag; bwd(kern, temp); } void guard_interval_weights() { for (int i = 0; i < guard_len / 4; ++i) weight[i] = 0; for (int i = guard_len / 4; i < guard_len / 4 + guard_len / 2; ++i) { value x = value(i - guard_len / 4) / value(guard_len / 2 - 1); weight[i] = value(0.5) * (value(1) - std::cos(DSP::Const::Pi() * x)); } for (int i = guard_len / 4 + guard_len / 2; i < guard_len; ++i) weight[i] = 1; } Encoder(DSP::WritePCM *pcm, const char *const *input_names, int input_count, int freq_off, int oper_mode) : pcm(pcm), crc0(0x8F6E37A0) { setup(oper_mode, freq_off); tone_reservation_kernels(); guard_interval_weights(); papr_min = 1000, papr_max = -1000; pilot_block(); hadamardenc(mode, oper_mode); if (!oper_mode) { schmidl_cox(); CODE::MLS seq1(mls1_poly); for (int i = 0, m = 0; i < tone_count; ++i) { if (i % block_length == pilot_offset) { tone[i] = nrz(seq1()) * mode[m++]; } else { tone[i] = 0; } } symbol(false); } for (int input_index = 0; input_index < input_count; ++input_index) { const char *input_name = input_names[input_index]; if (input_count == 1 && input_name[0] == '-' && input_name[1] == 0) input_name = "/dev/stdin"; std::ifstream input_file(input_name, std::ios::binary); if (input_file.bad()) { std::cerr << "Couldn't open file \"" << input_name << "\" for reading." << std::endl; continue; } for (int i = 0; i < data_bytes; ++i) input_data[i] = std::max(input_file.get(), 0); CODE::Xorshift32 scrambler; for (int i = 0; i < data_bytes; ++i) input_data[i] ^= scrambler(); schmidl_cox(); for (int i = 0; i < data_bits; ++i) mesg[i] = nrz(CODE::get_le_bit(input_data, i)); crc0.reset(); for (int i = 0; i < data_bytes; ++i) crc0(input_data[i]); for (int i = 0; i < 32; ++i) mesg[i+data_bits] = nrz((crc0()>>i)&1); polarenc(code, mesg, frozen_bits, code_order); shuffle(perm, code); CODE::MLS seq1(mls1_poly); for (int j = 0, k = 0; j < symbol_count; ++j) { int poff = (block_skew * j + pilot_offset) % block_length; int roff = (block_skew * j + reserved_offset) % block_length; for (int i = 0, m = 0; i < tone_count; ++i) { if (i % block_length == poff) { tone[i] = nrz(seq1()) * mode[m++]; } else if (i % block_length == roff) { tone[i] = 0; } else { tone[i] = mod_map(perm+k); k += mod_bits; } } symbol(); } } for (int i = 0; i < tone_count; ++i) tone[i] = 0; symbol(); std::cerr << "PAPR: " << DSP::decibel(papr_min) << " .. " << DSP::decibel(papr_max) << " dB" << std::endl; } }; int main(int argc, char **argv) { if (argc < 7) { std::cerr << "usage: " << argv[0] << " OUTPUT RATE BITS CHANNELS OFFSET MODE INPUT.." << std::endl; return 1; } const char *output_name = argv[1]; if (output_name[0] == '-' && output_name[1] == 0) output_name = "/dev/stdout"; int output_rate = std::atoi(argv[2]); int output_bits = std::atoi(argv[3]); int output_chan = std::atoi(argv[4]); int freq_off = std::atoi(argv[5]); if (freq_off % 50) { std::cerr << "Frequency offset must be divisible by 50." << std::endl; return 1; } int input_count = argc - 7; int oper_mode = std::atoi(argv[6]); if (!oper_mode != !input_count) { std::cerr << "Using operation mode " << oper_mode << " but " << input_count << " input file" << (input_count == 1 ? "" : "s") << " provided." << std::endl; return 1; } if (oper_mode < 0 || oper_mode > 8) { std::cerr << "Unsupported operation mode." << std::endl; return 1; } int band_width = 2000; if ((output_chan == 1 && freq_off < band_width / 2) || freq_off < band_width / 2 - output_rate / 2 || freq_off > output_rate / 2 - band_width / 2) { std::cerr << "Unsupported frequency offset." << std::endl; return 1; } typedef float value; typedef DSP::Complex cmplx; DSP::WriteWAV output_file(output_name, output_rate, output_bits, output_chan); output_file.silence(output_rate); switch (output_rate) { case 8000: delete new Encoder(&output_file, argv+7, input_count, freq_off, oper_mode); break; case 16000: delete new Encoder(&output_file, argv+7, input_count, freq_off, oper_mode); break; case 44100: delete new Encoder(&output_file, argv+7, input_count, freq_off, oper_mode); break; case 48000: delete new Encoder(&output_file, argv+7, input_count, freq_off, oper_mode); break; default: std::cerr << "Unsupported sample rate." << std::endl; return 1; } output_file.silence(output_rate); return 0; }