added polar bit freezers, encoders and decoders

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Ahmet Inan 2021-07-10 23:11:05 +02:00
commit cc1f412f5d
8 changed files with 985 additions and 0 deletions

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polar_encoder.hh Normal file
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/*
Polar encoder for non-systematic and systematic codes
Copyright 2020 Ahmet Inan <inan@aicodix.de>
*/
#pragma once
#include "polar_helper.hh"
namespace CODE {
template <typename TYPE>
class PolarEncoder
{
typedef PolarHelper<TYPE> PH;
public:
void operator()(TYPE *codeword, const TYPE *message, const uint8_t *frozen, int level)
{
int length = 1 << level;
for (int i = 0; i < length; i += 2) {
TYPE msg0 = frozen[i] ? PH::one() : *message++;
TYPE msg1 = frozen[i+1] ? PH::one() : *message++;
codeword[i] = PH::qmul(msg0, msg1);
codeword[i+1] = msg1;
}
for (int h = 2; h < length; h *= 2)
for (int i = 0; i < length; i += 2 * h)
for (int j = i; j < i + h; ++j)
codeword[j] = PH::qmul(codeword[j], codeword[j+h]);
}
};
template <typename TYPE>
class PolarSysEnc
{
typedef PolarHelper<TYPE> PH;
public:
void operator()(TYPE *codeword, const TYPE *message, const uint8_t *frozen, int level)
{
int length = 1 << level;
for (int i = 0; i < length; i += 2) {
TYPE msg0 = frozen[i] ? PH::one() : *message++;
TYPE msg1 = frozen[i+1] ? PH::one() : *message++;
codeword[i] = PH::qmul(msg0, msg1);
codeword[i+1] = msg1;
}
for (int h = 2; h < length; h *= 2)
for (int i = 0; i < length; i += 2 * h)
for (int j = i; j < i + h; ++j)
codeword[j] = PH::qmul(codeword[j], codeword[j+h]);
for (int i = 0; i < length; i += 2) {
TYPE msg0 = frozen[i] ? PH::one() : codeword[i];
TYPE msg1 = frozen[i+1] ? PH::one() : codeword[i+1];
codeword[i] = PH::qmul(msg0, msg1);
codeword[i+1] = msg1;
}
for (int h = 2; h < length; h *= 2)
for (int i = 0; i < length; i += 2 * h)
for (int j = i; j < i + h; ++j)
codeword[j] = PH::qmul(codeword[j], codeword[j+h]);
}
};
}