/* OFDM modem encoder Copyright 2021 Ahmet Inan */ #include #include #include #include #include #include "common.hh" #include "xorshift.hh" #include "complex.hh" #include "utils.hh" #include "quick.hh" #include "bitman.hh" #include "decibel.hh" #include "fft.hh" #include "wav.hh" #include "pcm.hh" #include "mls.hh" #include "psk.hh" #include "qam.hh" #include "polar_encoder.hh" template struct Encoder : public Common { typedef int8_t code_type; static const int guard_len = rate / 300; static const int symbol_len = guard_len * 40; DSP::WritePCM *pcm; DSP::FastFourierTransform fwd; DSP::FastFourierTransform bwd; CODE::PolarEncoder polar_encoder; code_type code[bits_max], perm[bits_max], mesg[bits_max], meta[256]; cmplx fdom[symbol_len]; cmplx tdom[symbol_len]; cmplx test[symbol_len]; cmplx kern[symbol_len]; cmplx guard[guard_len]; cmplx tone[tone_count]; cmplx temp[tone_count]; value weight[guard_len]; value papr[symbols_max]; 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) { for (int i = 0; i < symbol_len; ++i) { value pwr = norm(tdom[i]); if (pwr > value(1)) tdom[i] /= sqrt(pwr); } fwd(fdom, tdom); for (int i = 0; i < symbol_len; ++i) { int j = bin(i + tone_off); if (i >= tone_count) fdom[j] = 0; else fdom[j] *= 1 / (scale * symbol_len); } bwd(tdom, fdom); for (int i = 0; i < symbol_len; ++i) tdom[i] *= scale; 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())); } void symbol(int symbol_number) { value scale = value(0.5) / std::sqrt(value(tone_count)); if (symbol_number < 0) { for (int i = 0; i < symbol_len; ++i) fdom[i] = 0; for (int i = 0; i < tone_count; ++i) fdom[bin(i+tone_off)] = tone[i]; bwd(tdom, fdom); for (int i = 0; i < symbol_len; ++i) tdom[i] *= scale; } else { value best_papr = 1000; CODE::XorShiftMask combination; for (int trial = 0; trial < 4096; ++trial) { for (int i = 0; i < tone_count; ++i) temp[i] = tone[i]; int comb = combination(); int head_data = trial >> 6; hadamard_encoder(head, head_data); int tail_data = trial & 63; hadamard_encoder(tail, tail_data); int poly_index = comb & 15; int seed_value = comb >> 4; if (seed_value == 0) continue; CODE::MLS seq(slm_poly[poly_index], seed_value); for (int i = 0, m = 0, s = 0; i < tone_count; ++i) if (i % block_length == head_off) temp[i] *= head[m++]; else if (i % block_length == tail_off) temp[i] *= tail[s++]; else temp[i] *= nrz(seq()); for (int i = 0; i < symbol_len; ++i) fdom[i] = 0; for (int i = 0; i < tone_count; ++i) fdom[bin(i+tone_off)] = temp[i]; bwd(test, fdom); for (int i = 0; i < symbol_len; ++i) test[i] *= scale; value peak = 0, mean = 0; for (int i = 0; i < symbol_len; ++i) { value power(norm(test[i])); peak = std::max(peak, power); mean += power; } mean /= symbol_len; value test_papr(peak / mean); if (test_papr < best_papr) { best_papr = test_papr; papr[symbol_number] = test_papr; for (int i = 0; i < symbol_len; ++i) tdom[i] = test[i]; if (test_papr < 5) break; } } } clipping_and_filtering(scale); if (symbol_number != -1) { for (int i = 0; i < guard_len; ++i) guard[i] = DSP::lerp(guard[i], tdom[i+symbol_len-guard_len], weight[i]); pcm->write(reinterpret_cast(guard), guard_len, 2); } for (int i = 0; i < guard_len; ++i) guard[i] = tdom[i]; pcm->write(reinterpret_cast(tdom), symbol_len, 2); } void finish() { for (int i = 0; i < guard_len; ++i) guard[i] *= 1 - weight[i]; pcm->write(reinterpret_cast(guard), guard_len, 2); for (int i = 0; i < guard_len; ++i) guard[i] = 0; } void leading_noise(int num = 1) { CODE::MLS noise(mls2_poly); for (int j = 0; j < num; ++j) { for (int i = 0; i < tone_count; ++i) tone[i] = nrz(noise()); symbol(-3); } } void schmidl_cox() { CODE::MLS seq0(mls0_poly, mls0_seed); for (int i = 0; i < tone_count; ++i) tone[i] = nrz(seq0()); symbol(-2); symbol(-1); } void meta_data(uint64_t md) { for (int i = 0; i < 55; ++i) mesg[i] = nrz((md >> i) & 1); crc0.reset(); crc0(md << 9); for (int i = 0; i < 16; ++i) mesg[i+55] = nrz((crc0() >> i) & 1); polar_encoder(code, mesg, frozen_256_71, 8); shuffle(meta, code, 8); } cmplx map_bits(code_type *b, int bits) { switch (bits) { case 1: return PhaseShiftKeying<2, cmplx, code_type>::map(b); case 2: return PhaseShiftKeying<4, cmplx, code_type>::map(b); case 3: return PhaseShiftKeying<8, 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); case 8: return QuadratureAmplitudeModulation<256, cmplx, code_type>::map(b); case 10: return QuadratureAmplitudeModulation<1024, cmplx, code_type>::map(b); case 12: return QuadratureAmplitudeModulation<4096, cmplx, code_type>::map(b); } return 0; } value mod_distance() { switch (mod_bits) { case 1: return PhaseShiftKeying<2, cmplx, code_type>::DIST; case 2: return PhaseShiftKeying<4, cmplx, code_type>::DIST; case 3: return PhaseShiftKeying<8, cmplx, code_type>::DIST; case 4: return QuadratureAmplitudeModulation<16, cmplx, code_type>::DIST; case 6: return QuadratureAmplitudeModulation<64, cmplx, code_type>::DIST; case 8: return QuadratureAmplitudeModulation<256, cmplx, code_type>::DIST; case 10: return QuadratureAmplitudeModulation<1024, cmplx, code_type>::DIST; case 12: return QuadratureAmplitudeModulation<4096, cmplx, code_type>::DIST; } return 2; } void shuffle(code_type *dest, const code_type *src, int order) { if (order == 8) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 256; ++i) dest[i] = src[seq()]; } else if (order == 11) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 2048; ++i) dest[i] = src[seq()]; } else if (order == 12) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 4096; ++i) dest[i] = src[seq()]; } else if (order == 13) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 8192; ++i) dest[i] = src[seq()]; } else if (order == 14) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 16384; ++i) dest[i] = src[seq()]; } else if (order == 15) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 32768; ++i) dest[i] = src[seq()]; } else if (order == 16) { CODE::XorShiftMask seq; dest[0] = src[0]; for (int i = 1; i < 65536; ++i) dest[i] = src[seq()]; } } 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, int64_t call_sign, int oper_mode) : pcm(pcm) { if (!setup(oper_mode)) return; int offset = (freq_off * symbol_len) / rate; tone_off = offset - tone_count / 2; guard_interval_weights(); meta_data((call_sign << 8) | oper_mode); leading_noise(); 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) data[i] = std::max(input_file.get(), 0); CODE::Xorshift32 scrambler; for (int i = 0; i < data_bytes; ++i) data[i] ^= scrambler(); schmidl_cox(); for (int i = 0; i < data_bits; ++i) mesg[i] = nrz(CODE::get_le_bit(data, i)); crc1.reset(); for (int i = 0; i < data_bytes; ++i) crc1(data[i]); for (int i = 0; i < 32; ++i) mesg[i+data_bits] = nrz((crc1()>>i)&1); polar_encoder(code, mesg, frozen_bits, code_order); shuffle(perm, code, code_order); CODE::MLS seq1(mls1_poly); for (int j = 0, k = 0, m = 0; j < symbol_count + 1; ++j) { head_off = (block_skew * j + first_head) % block_length; tail_off = (block_skew * j + first_tail) % block_length; for (int i = 0; i < tone_count; ++i) { if (i % block_length == head_off || i % block_length == tail_off) { tone[i] = nrz(seq1()); } else if (j) { int bits = mod_bits; if (mod_bits == 3 && k % 32 == 30) bits = 2; if (mod_bits == 6 && k % 64 == 60) bits = 4; if (mod_bits == 10 && k % 128 == 120) bits = 8; if (mod_bits == 12 && k % 128 == 120) bits = 8; tone[i] = map_bits(perm+k, bits); k += bits; } else { tone[i] = map_bits(meta+m++, 1); } } symbol(j); } DSP::quick_sort(papr, symbol_count + 1); std::cerr << "PAPR (dB): " << DSP::decibel(papr[0]) << " .. " << DSP::decibel(papr[symbol_count/2]) << " .. " << DSP::decibel(papr[symbol_count]) << std::endl; } finish(); } }; int64_t base37_encoder(const char *str) { int64_t acc = 0; for (char c = *str++; c; c = *str++) { acc *= 37; if (c >= '0' && c <= '9') acc += c - '0' + 1; else if (c >= 'a' && c <= 'z') acc += c - 'a' + 11; else if (c >= 'A' && c <= 'Z') acc += c - 'A' + 11; else if (c != ' ') return -1; } return acc; } int main(int argc, char **argv) { if (argc < 11) { std::cerr << "usage: " << argv[0] << " OUTPUT RATE BITS CHANNELS OFFSET CALLSIGN MODULATION CODERATE FRAMESIZE 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 % 300) { std::cerr << "Frequency offset must be divisible by 300." << std::endl; return 1; } int64_t call_sign = base37_encoder(argv[6]); if (call_sign <= 0 || call_sign >= 129961739795077L) { std::cerr << "Unsupported call sign." << std::endl; return 1; } int oper_mode = 0; char *modulation = argv[7]; if (!strcmp(modulation, "BPSK")) { oper_mode |= 0 << 4; } else if (!strcmp(modulation, "QPSK")) { oper_mode |= 1 << 4; } else if (!strcmp(modulation, "8PSK")) { oper_mode |= 2 << 4; } else if (!strcmp(modulation, "QAM16")) { oper_mode |= 3 << 4; } else if (!strcmp(modulation, "QAM64")) { oper_mode |= 4 << 4; } else if (!strcmp(modulation, "QAM256")) { oper_mode |= 5 << 4; } else if (!strcmp(modulation, "QAM1024")) { oper_mode |= 6 << 4; } else if (!strcmp(modulation, "QAM4096")) { oper_mode |= 7 << 4; } else { std::cerr << "Unsupported modulation." << std::endl; return 1; } char *code_rate = argv[8]; if (!strcmp(code_rate, "1/2")) { oper_mode |= 0 << 1; } else if (!strcmp(code_rate, "2/3")) { oper_mode |= 1 << 1; } else if (!strcmp(code_rate, "3/4")) { oper_mode |= 2 << 1; } else if (!strcmp(code_rate, "5/6")) { oper_mode |= 3 << 1; } else { std::cerr << "Unsupported code rate." << std::endl; return 1; } char *frame_size = argv[9]; if (!strcmp(frame_size, "short")) { oper_mode |= 0; } else if (!strcmp(frame_size, "normal")) { oper_mode |= 1; } else { std::cerr << "Unsupported frame size." << std::endl; return 1; } int band_width = 2400; 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; } std::cerr << std::fixed << std::setprecision(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); int input_count = argc - 10; switch (output_rate) { case 44100: delete new Encoder(&output_file, argv + 10, input_count, freq_off, call_sign, oper_mode); break; case 48000: delete new Encoder(&output_file, argv + 10, input_count, freq_off, call_sign, oper_mode); break; default: std::cerr << "Unsupported sample rate." << std::endl; return 1; } output_file.silence(output_rate); return 0; }