nist-error-rate-model.cc

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/*
 * Copyright (c) 2010 The Boeing Company
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License version 2 as
 * published by the Free Software Foundation;
 *
 * 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 for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 * Authors: Gary Pei <guangyu.pei@boeing.com>
 *          Sébastien Deronne <sebastien.deronne@gmail.com>
 */
 
#include "nist-error-rate-model.h"
 
#include "wifi-tx-vector.h"
 
#include "ns3/log.h"
 
#include <bitset>
#include <cmath>
 
namespace ns3
{
 
NS_LOG_COMPONENT_DEFINE("NistErrorRateModel");
 
NS_OBJECT_ENSURE_REGISTERED(NistErrorRateModel);
 
TypeId
NistErrorRateModel::GetTypeId()
{
    static TypeId tid = TypeId("ns3::NistErrorRateModel")
                            .SetParent<ErrorRateModel>()
                            .SetGroupName("Wifi")
                            .AddConstructor<NistErrorRateModel>();
    return tid;
}
 
NistErrorRateModel::NistErrorRateModel()
{
}
 
double
NistErrorRateModel::GetBpskBer(double snr) const
{
    NS_LOG_FUNCTION(this << snr);
    double z = std::sqrt(snr);
    double ber = 0.5 * erfc(z);
    NS_LOG_INFO("bpsk snr=" << snr << " ber=" << ber);
    return ber;
}
 
double
NistErrorRateModel::GetQpskBer(double snr) const
{
    NS_LOG_FUNCTION(this << snr);
    double z = std::sqrt(snr / 2.0);
    double ber = 0.5 * erfc(z);
    NS_LOG_INFO("qpsk snr=" << snr << " ber=" << ber);
    return ber;
}
 
double
NistErrorRateModel::GetQamBer(uint16_t constellationSize, double snr) const
{
    NS_LOG_FUNCTION(this << constellationSize << snr);
    NS_ASSERT(std::bitset<16>(constellationSize).count() ==
              1); // constellationSize has to be a power of 2
    double z = std::sqrt(snr / ((2 * (constellationSize - 1)) / 3));
    uint8_t bitsPerSymbol = std::sqrt(constellationSize);
    double ber = ((bitsPerSymbol - 1) / (bitsPerSymbol * std::log2(bitsPerSymbol))) * erfc(z);
    NS_LOG_INFO(constellationSize << "-QAM: snr=" << snr << " ber=" << ber);
    return ber;
}
 
double
NistErrorRateModel::GetFecBpskBer(double snr, uint64_t nbits, uint8_t bValue) const
{
    NS_LOG_FUNCTION(this << snr << nbits << +bValue);
    double ber = GetBpskBer(snr);
    if (ber == 0.0)
    {
        return 1.0;
    }
    double pe = CalculatePe(ber, bValue);
    pe = std::min(pe, 1.0);
    double pms = std::pow(1 - pe, nbits);
    return pms;
}
 
double
NistErrorRateModel::GetFecQpskBer(double snr, uint64_t nbits, uint8_t bValue) const
{
    NS_LOG_FUNCTION(this << snr << nbits << +bValue);
    double ber = GetQpskBer(snr);
    if (ber == 0.0)
    {
        return 1.0;
    }
    double pe = CalculatePe(ber, bValue);
    pe = std::min(pe, 1.0);
    double pms = std::pow(1 - pe, nbits);
    return pms;
}
 
double
NistErrorRateModel::CalculatePe(double p, uint8_t bValue) const
{
    NS_LOG_FUNCTION(this << p << +bValue);
    double D = std::sqrt(4.0 * p * (1.0 - p));
    double pe = 1.0;
    if (bValue == 1)
    {
        // code rate 1/2, use table 3.1.1
        pe = 0.5 * (36.0 * std::pow(D, 10) + 211.0 * std::pow(D, 12) + 1404.0 * std::pow(D, 14) +
                    11633.0 * std::pow(D, 16) + 77433.0 * std::pow(D, 18) +
                    502690.0 * std::pow(D, 20) + 3322763.0 * std::pow(D, 22) +
                    21292910.0 * std::pow(D, 24) + 134365911.0 * std::pow(D, 26));
    }
    else if (bValue == 2)
    {
        // code rate 2/3, use table 3.1.2
        pe = 1.0 / (2.0 * bValue) *
             (3.0 * std::pow(D, 6) + 70.0 * std::pow(D, 7) + 285.0 * std::pow(D, 8) +
              1276.0 * std::pow(D, 9) + 6160.0 * std::pow(D, 10) + 27128.0 * std::pow(D, 11) +
              117019.0 * std::pow(D, 12) + 498860.0 * std::pow(D, 13) +
              2103891.0 * std::pow(D, 14) + 8784123.0 * std::pow(D, 15));
    }
    else if (bValue == 3)
    {
        // code rate 3/4, use table 3.1.2
        pe = 1.0 / (2.0 * bValue) *
             (42.0 * std::pow(D, 5) + 201.0 * std::pow(D, 6) + 1492.0 * std::pow(D, 7) +
              10469.0 * std::pow(D, 8) + 62935.0 * std::pow(D, 9) + 379644.0 * std::pow(D, 10) +
              2253373.0 * std::pow(D, 11) + 13073811.0 * std::pow(D, 12) +
              75152755.0 * std::pow(D, 13) + 428005675.0 * std::pow(D, 14));
    }
    else if (bValue == 5)
    {
        // code rate 5/6, use table V from D. Haccoun and G. Begin, "High-Rate Punctured
        // Convolutional Codes for Viterbi Sequential Decoding", IEEE Transactions on
        // Communications, Vol. 32, Issue 3, pp.315-319.
        pe = 1.0 / (2.0 * bValue) *
             (92.0 * std::pow(D, 4.0) + 528.0 * std::pow(D, 5.0) + 8694.0 * std::pow(D, 6.0) +
              79453.0 * std::pow(D, 7.0) + 792114.0 * std::pow(D, 8.0) +
              7375573.0 * std::pow(D, 9.0) + 67884974.0 * std::pow(D, 10.0) +
              610875423.0 * std::pow(D, 11.0) + 5427275376.0 * std::pow(D, 12.0) +
              47664215639.0 * std::pow(D, 13.0));
    }
    else
    {
        NS_ASSERT(false);
    }
    return pe;
}
 
double
NistErrorRateModel::GetFecQamBer(uint16_t constellationSize,
                                 double snr,
                                 uint64_t nbits,
                                 uint8_t bValue) const
{
    NS_LOG_FUNCTION(this << constellationSize << snr << nbits << +bValue);
    double ber = GetQamBer(constellationSize, snr);
    if (ber == 0.0)
    {
        return 1.0;
    }
    double pe = CalculatePe(ber, bValue);
    pe = std::min(pe, 1.0);
    double pms = std::pow(1 - pe, nbits);
    return pms;
}
 
uint8_t
NistErrorRateModel::GetBValue(WifiCodeRate codeRate) const
{
    switch (codeRate)
    {
    case WIFI_CODE_RATE_3_4:
        return 3;
    case WIFI_CODE_RATE_2_3:
        return 2;
    case WIFI_CODE_RATE_1_2:
        return 1;
    case WIFI_CODE_RATE_5_6:
        return 5;
    case WIFI_CODE_RATE_UNDEFINED:
    default:
        NS_FATAL_ERROR("Unknown code rate");
        break;
    }
    return 0;
}
 
double
NistErrorRateModel::DoGetChunkSuccessRate(WifiMode mode,
                                          const WifiTxVector& txVector,
                                          double snr,
                                          uint64_t nbits,
                                          uint8_t numRxAntennas,
                                          WifiPpduField field,
                                          uint16_t staId) const
{
    NS_LOG_FUNCTION(this << mode << snr << nbits << +numRxAntennas << field << staId);
    if (mode.GetModulationClass() >= WIFI_MOD_CLASS_ERP_OFDM)
    {
        if (mode.GetConstellationSize() == 2)
        {
            return GetFecBpskBer(snr, nbits, GetBValue(mode.GetCodeRate()));
        }
        else if (mode.GetConstellationSize() == 4)
        {
            return GetFecQpskBer(snr, nbits, GetBValue(mode.GetCodeRate()));
        }
        else
        {
            return GetFecQamBer(mode.GetConstellationSize(),
                                snr,
                                nbits,
                                GetBValue(mode.GetCodeRate()));
        }
    }
    return 0;
}
 
} // namespace ns3