mirror of
https://github.com/f4exb/sdrangel.git
synced 2024-09-10 07:06:34 -04:00
275 lines
10 KiB
C++
275 lines
10 KiB
C++
///////////////////////////////////////////////////////////////////////////////////////
|
|
// Copyright (C) 2021 Edouard Griffiths, F4EXB <f4exb06@gmail.com> //
|
|
// //
|
|
// 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 as 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 V3 for more details. //
|
|
// //
|
|
// You should have received a copy of the GNU General Public License //
|
|
// along with this program. If not, see <http://www.gnu.org/licenses/>. //
|
|
///////////////////////////////////////////////////////////////////////////////////////
|
|
/*
|
|
Quadrature amplitude modulation
|
|
|
|
Copyright 2018 Ahmet Inan <xdsopl@gmail.com>
|
|
*/
|
|
|
|
#ifndef QAM_HH
|
|
#define QAM_HH
|
|
|
|
namespace ldpctool {
|
|
|
|
template <int NUM, typename TYPE, typename CODE>
|
|
struct QuadratureAmplitudeModulation;
|
|
|
|
template <typename TYPE, typename CODE>
|
|
struct QuadratureAmplitudeModulation<16, TYPE, CODE>
|
|
{
|
|
static const int NUM = 16;
|
|
static const int BITS = 4;
|
|
typedef TYPE complex_type;
|
|
typedef typename TYPE::value_type value_type;
|
|
typedef CODE code_type;
|
|
|
|
static constexpr value_type FAC = 1.0540925533894596;
|
|
static constexpr value_type RCP = 3 * FAC;
|
|
static constexpr value_type AMP = 1 / RCP;
|
|
static constexpr value_type DIST = 2 * AMP;
|
|
|
|
static constexpr value_type amp(int i)
|
|
{
|
|
return AMP * i;
|
|
}
|
|
|
|
static code_type quantize(value_type precision, value_type value)
|
|
{
|
|
value *= DIST * precision;
|
|
if (std::is_integral<code_type>::value)
|
|
value = std::nearbyint(value);
|
|
if (std::is_same<code_type, int8_t>::value)
|
|
value = std::min<value_type>(std::max<value_type>(value, -128), 127);
|
|
return value;
|
|
}
|
|
|
|
static void hard(code_type *b, complex_type c)
|
|
{
|
|
b[0] = c.real() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[1] = c.imag() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[2] = std::abs(c.real()) < amp(2) ? code_type(-1) : code_type(1);
|
|
b[3] = std::abs(c.imag()) < amp(2) ? code_type(-1) : code_type(1);
|
|
}
|
|
|
|
static void soft(code_type *b, complex_type c, value_type precision)
|
|
{
|
|
b[0] = quantize(precision, c.real());
|
|
b[1] = quantize(precision, c.imag());
|
|
b[2] = quantize(precision, std::abs(c.real())-amp(2));
|
|
b[3] = quantize(precision, std::abs(c.imag())-amp(2));
|
|
}
|
|
|
|
static complex_type map(code_type *b)
|
|
{
|
|
return AMP * complex_type(
|
|
b[0]*(b[2]+value_type(2)),
|
|
b[1]*(b[3]+value_type(2))
|
|
);
|
|
}
|
|
};
|
|
|
|
template <typename TYPE, typename CODE>
|
|
struct QuadratureAmplitudeModulation<64, TYPE, CODE>
|
|
{
|
|
static const int NUM = 64;
|
|
static const int BITS = 6;
|
|
typedef TYPE complex_type;
|
|
typedef typename TYPE::value_type value_type;
|
|
typedef CODE code_type;
|
|
|
|
static constexpr value_type FAC = 0.9258200997725516;
|
|
static constexpr value_type RCP = 7 * FAC;
|
|
static constexpr value_type AMP = 1 / RCP;
|
|
static constexpr value_type DIST = 2 * AMP;
|
|
|
|
static constexpr value_type amp(int i)
|
|
{
|
|
return AMP * i;
|
|
}
|
|
|
|
static code_type quantize(value_type precision, value_type value)
|
|
{
|
|
value *= DIST * precision;
|
|
if (std::is_integral<code_type>::value)
|
|
value = std::nearbyint(value);
|
|
if (std::is_same<code_type, int8_t>::value)
|
|
value = std::min<value_type>(std::max<value_type>(value, -128), 127);
|
|
return value;
|
|
}
|
|
|
|
static void hard(code_type *b, complex_type c)
|
|
{
|
|
b[0] = c.real() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[1] = c.imag() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[2] = std::abs(c.real()) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[3] = std::abs(c.imag()) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[4] = std::abs(std::abs(c.real())-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
b[5] = std::abs(std::abs(c.imag())-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
}
|
|
|
|
static void soft(code_type *b, complex_type c, value_type precision)
|
|
{
|
|
b[0] = quantize(precision, c.real());
|
|
b[1] = quantize(precision, c.imag());
|
|
b[2] = quantize(precision, std::abs(c.real())-amp(4));
|
|
b[3] = quantize(precision, std::abs(c.imag())-amp(4));
|
|
b[4] = quantize(precision, std::abs(std::abs(c.real())-amp(4))-amp(2));
|
|
b[5] = quantize(precision, std::abs(std::abs(c.imag())-amp(4))-amp(2));
|
|
}
|
|
|
|
static complex_type map(code_type *b)
|
|
{
|
|
return AMP * complex_type(
|
|
b[0]*(b[2]*(b[4]+value_type(2))+value_type(4)),
|
|
b[1]*(b[3]*(b[5]+value_type(2))+value_type(4))
|
|
);
|
|
}
|
|
};
|
|
|
|
template <typename TYPE, typename CODE>
|
|
struct QuadratureAmplitudeModulation<256, TYPE, CODE>
|
|
{
|
|
static const int NUM = 256;
|
|
static const int BITS = 8;
|
|
typedef TYPE complex_type;
|
|
typedef typename TYPE::value_type value_type;
|
|
typedef CODE code_type;
|
|
|
|
static constexpr value_type FAC = 0.8692269873603529;
|
|
static constexpr value_type RCP = 15 * FAC;
|
|
static constexpr value_type AMP = 1 / RCP;
|
|
static constexpr value_type DIST = 2 * AMP;
|
|
|
|
static constexpr value_type amp(int i)
|
|
{
|
|
return AMP * i;
|
|
}
|
|
|
|
static code_type quantize(value_type precision, value_type value)
|
|
{
|
|
value *= DIST * precision;
|
|
if (std::is_integral<code_type>::value)
|
|
value = std::nearbyint(value);
|
|
if (std::is_same<code_type, int8_t>::value)
|
|
value = std::min<value_type>(std::max<value_type>(value, -128), 127);
|
|
return value;
|
|
}
|
|
|
|
static void hard(code_type *b, complex_type c)
|
|
{
|
|
b[0] = c.real() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[1] = c.imag() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[2] = std::abs(c.real()) < amp(8) ? code_type(-1) : code_type(1);
|
|
b[3] = std::abs(c.imag()) < amp(8) ? code_type(-1) : code_type(1);
|
|
b[4] = std::abs(std::abs(c.real())-amp(8)) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[5] = std::abs(std::abs(c.imag())-amp(8)) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[6] = std::abs(std::abs(std::abs(c.real())-amp(8))-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
b[7] = std::abs(std::abs(std::abs(c.imag())-amp(8))-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
}
|
|
|
|
static void soft(code_type *b, complex_type c, value_type precision)
|
|
{
|
|
b[0] = quantize(precision, c.real());
|
|
b[1] = quantize(precision, c.imag());
|
|
b[2] = quantize(precision, std::abs(c.real())-amp(8));
|
|
b[3] = quantize(precision, std::abs(c.imag())-amp(8));
|
|
b[4] = quantize(precision, std::abs(std::abs(c.real())-amp(8))-amp(4));
|
|
b[5] = quantize(precision, std::abs(std::abs(c.imag())-amp(8))-amp(4));
|
|
b[6] = quantize(precision, std::abs(std::abs(std::abs(c.real())-amp(8))-amp(4))-amp(2));
|
|
b[7] = quantize(precision, std::abs(std::abs(std::abs(c.imag())-amp(8))-amp(4))-amp(2));
|
|
}
|
|
|
|
static complex_type map(code_type *b)
|
|
{
|
|
return AMP * complex_type(
|
|
b[0]*(b[2]*(b[4]*(b[6]+value_type(2))+value_type(4))+value_type(8)),
|
|
b[1]*(b[3]*(b[5]*(b[7]+value_type(2))+value_type(4))+value_type(8))
|
|
);
|
|
}
|
|
};
|
|
|
|
template <typename TYPE, typename CODE>
|
|
struct QuadratureAmplitudeModulation<1024, TYPE, CODE>
|
|
{
|
|
static const int NUM = 1024;
|
|
static const int BITS = 10;
|
|
typedef TYPE complex_type;
|
|
typedef typename TYPE::value_type value_type;
|
|
typedef CODE code_type;
|
|
|
|
static constexpr value_type FAC = 0.8424235391742344;
|
|
static constexpr value_type RCP = 31 * FAC;
|
|
static constexpr value_type AMP = 1 / RCP;
|
|
static constexpr value_type DIST = 2 * AMP;
|
|
|
|
static constexpr value_type amp(int i)
|
|
{
|
|
return AMP * i;
|
|
}
|
|
|
|
static code_type quantize(value_type precision, value_type value)
|
|
{
|
|
value *= DIST * precision;
|
|
if (std::is_integral<code_type>::value)
|
|
value = std::nearbyint(value);
|
|
if (std::is_same<code_type, int8_t>::value)
|
|
value = std::min<value_type>(std::max<value_type>(value, -128), 127);
|
|
return value;
|
|
}
|
|
|
|
static void hard(code_type *b, complex_type c)
|
|
{
|
|
b[0] = c.real() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[1] = c.imag() < amp(0) ? code_type(-1) : code_type(1);
|
|
b[2] = std::abs(c.real()) < amp(16) ? code_type(-1) : code_type(1);
|
|
b[3] = std::abs(c.imag()) < amp(16) ? code_type(-1) : code_type(1);
|
|
b[4] = std::abs(std::abs(c.real())-amp(16)) < amp(8) ? code_type(-1) : code_type(1);
|
|
b[5] = std::abs(std::abs(c.imag())-amp(16)) < amp(8) ? code_type(-1) : code_type(1);
|
|
b[6] = std::abs(std::abs(std::abs(c.real())-amp(16))-amp(8)) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[7] = std::abs(std::abs(std::abs(c.imag())-amp(16))-amp(8)) < amp(4) ? code_type(-1) : code_type(1);
|
|
b[8] = std::abs(std::abs(std::abs(std::abs(c.real())-amp(16))-amp(8))-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
b[9] = std::abs(std::abs(std::abs(std::abs(c.imag())-amp(16))-amp(8))-amp(4)) < amp(2) ? code_type(-1) : code_type(1);
|
|
}
|
|
|
|
static void soft(code_type *b, complex_type c, value_type precision)
|
|
{
|
|
b[0] = quantize(precision, c.real());
|
|
b[1] = quantize(precision, c.imag());
|
|
b[2] = quantize(precision, std::abs(c.real())-amp(16));
|
|
b[3] = quantize(precision, std::abs(c.imag())-amp(16));
|
|
b[4] = quantize(precision, std::abs(std::abs(c.real())-amp(16))-amp(8));
|
|
b[5] = quantize(precision, std::abs(std::abs(c.imag())-amp(16))-amp(8));
|
|
b[6] = quantize(precision, std::abs(std::abs(std::abs(c.real())-amp(16))-amp(8))-amp(4));
|
|
b[7] = quantize(precision, std::abs(std::abs(std::abs(c.imag())-amp(16))-amp(8))-amp(4));
|
|
b[8] = quantize(precision, std::abs(std::abs(std::abs(std::abs(c.real())-amp(16))-amp(8))-amp(4))-amp(2));
|
|
b[9] = quantize(precision, std::abs(std::abs(std::abs(std::abs(c.imag())-amp(16))-amp(8))-amp(4))-amp(2));
|
|
}
|
|
|
|
static complex_type map(code_type *b)
|
|
{
|
|
return AMP * complex_type(
|
|
b[0]*(b[2]*(b[4]*(b[6]*(b[8]+value_type(2))+value_type(4))+value_type(8))+value_type(16)),
|
|
b[1]*(b[3]*(b[5]*(b[7]*(b[9]+value_type(2))+value_type(4))+value_type(8))+value_type(16))
|
|
);
|
|
}
|
|
};
|
|
|
|
} // namespace ldpctool
|
|
|
|
#endif
|
|
|