sdrangel/modemm17/Trellis.h

129 wiersze
3.0 KiB
C++

// Copyright 2020-2021 Mobilinkd LLC.
// make CXXFLAGS="$(pkg-config --cflags gtest) $(pkg-config --libs gtest) -I. -O3" tests/TrellisTest
#pragma once
#include <array>
#include <cstdlib>
#include <cstdint>
namespace modemm17
{
inline std::array<int8_t, 61> make_p1() {
std::array<int8_t, 61> result{};
for (size_t i = 0, j = 2; i != 61; ++i) {
if (i == j) {
result[i] = 0;
j += 4;
} else {
result[i] = 1;
}
}
return result;
};
/// Puncture matrix for LSF
constexpr auto P1 = std::array<int8_t, 61>{
1,
1, 0, 1, 1, // M1
1, 0, 1, 1, // M2
1, 0, 1, 1, // M3
1, 0, 1, 1, // M4
1, 0, 1, 1, // M5
1, 0, 1, 1, // M6
1, 0, 1, 1, // M7
1, 0, 1, 1, // M8
1, 0, 1, 1, // M9
1, 0, 1, 1, // M10
1, 0, 1, 1, // M10
1, 0, 1, 1, // M12
1, 0, 1, 1, // M13
1, 0, 1, 1, // M14
1, 0, 1, 1 // M15
};
/// Puncture matrix for audio and BERT frames. Rate 11/12.
constexpr auto P2 = std::array<int8_t, 12>{
1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 0};
/// Puncture matrix for packet frames (7/8).
constexpr auto P3 = std::array<int8_t, 8>{
1, 1, 1, 1, 1, 1, 1, 0};
/**
* Convert an integer value to an array of bits, with the
* high-bit at index 0.
*
* At anything beyond -O0, the array is constructed at compile time.
*/
template <size_t N>
constexpr std::array<uint8_t, N> toBitArray(int8_t value)
{
std::array<uint8_t, N> result{};
for (size_t i = 0; i != N; ++i)
{
result[N - (i + 1)] = (value & 1);
value >>= 1;
}
return result;
}
template <size_t N>
struct NextStateTable
{
using nextStateTable_t = std::array<std::array<int8_t, N>, N>;
nextStateTable_t nextStateTable = makeNextStateTable();
static constexpr nextStateTable_t makeNextStateTable()
{
return nextStateTable_t();
}
};
/**
* Compute a cost table for a Trellis of size K, for input n of N,
* and LLR size of LLR bits + 1. (i.e. LLR = 1 allows 2 bits to
* represent -1, 0, +1).
*/
template <size_t K, size_t N, size_t LLR = 1>
struct CostTable
{
static constexpr int8_t Price = 1 << LLR;
static constexpr size_t InputValues = 1 << N;
using cost_table_t = std::array<std::array<uint8_t, InputValues>, K>;
};
/**
* Only valid for a k=1 (1:n) convolutional coder.
*/
template <size_t K_, size_t n_>
struct Trellis
{
static constexpr size_t K = K_; // Memory depth of convolution.
static constexpr size_t k = 1; // Number of bits per input symbol.
static constexpr size_t n = n_; // Number of coefficients / output bits.
static constexpr size_t NumStates = (1 << K); // Number of states in the convolutional coder.
using polynomials_t = std::array<uint32_t, n_>;
polynomials_t polynomials;
Trellis(polynomials_t polys) :
polynomials(polys)
{}
};
template <size_t K, size_t n>
constexpr Trellis<K, n> makeTrellis(std::array<uint32_t, n> polys)
{
return Trellis<K, n>(polys);
}
} // modemm17