gnss-sdr/src/algorithms/tracking/libs/lock_detectors.cc

114 lines
4.3 KiB
C++

/*!
* \file lock_detectors.cc
* \brief Implementation of a library with a set of code and carrier phase lock detectors.
*
* SNV_CN0 is a Carrier-to-Noise (CN0) estimator
* based on the Signal-to-Noise Variance (SNV) estimator [1].
* Carrier lock detector using normalised estimate of the cosine
* of twice the carrier phase error [2].
*
* [1] Marco Pini, Emanuela Falletti and Maurizio Fantino, "Performance
* Evaluation of C/N0 Estimators using a Real Time GNSS Software Receiver,"
* IEEE 10th International Symposium on Spread Spectrum Techniques and
* Applications, pp.28-30, August 2008.
*
* [2] Van Dierendonck, A.J. (1996), Global Positioning System: Theory and
* Applications,
* Volume I, Chapter 8: GPS Receivers, AJ Systems, Los Altos, CA 94024.
* Inc.: 329-407.
* \authors <ul>
* <li> Javier Arribas, 2011. jarribas(at)cttc.es
* <li> Luis Esteve, 2012. luis(at)epsilon-formacion.com
* </ul>
*
* -------------------------------------------------------------------------
*
* Copyright (C) 2010-2014 (see AUTHORS file for a list of contributors)
*
* GNSS-SDR is a software defined Global Navigation
* Satellite Systems receiver
*
* This file is part of GNSS-SDR.
*
* GNSS-SDR 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, either version 3 of the License, or
* at your option) any later version.
*
* GNSS-SDR 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 GNSS-SDR. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#include "lock_detectors.h"
#include "GPS_L1_CA.h"
#include "Galileo_E1.h"
/*
* Signal-to-Noise (SNR) (\f$\rho\f$) estimator using the Signal-to-Noise Variance (SNV) estimator:
* \f{equation}
* \hat{\rho}=\frac{\hat{P}_s}{\hat{P}_n}=\frac{\hat{P}_s}{\hat{P}_{tot}-\hat{P}_s},
* \f}
* where \f$\hat{P}_s=\left(\frac{1}{N}\sum^{N-1}_{i=0}|Re(Pc(i))|\right)^2\f$ is the estimation of the signal power,
* \f$\hat{P}_{tot}=\frac{1}{N}\sum^{N-1}_{i=0}|Pc(i)|^2\f$ is the estimator of the total power, \f$|\cdot|\f$ is the absolute value,
* \f$Re(\cdot)\f$ stands for the real part of the value, and \f$Pc(i)\f$ is the prompt correlator output for the sample index i.
*
* The SNR value is converted to CN0 [dB-Hz], taking to account the receiver bandwidth and the PRN code gain, using the following formula:
* \f{equation}
* CN0_{dB}=10*log(\hat{\rho})+10*log(\frac{f_s}{2})-10*log(L_{PRN}),
* \f}
* where \f$f_s\f$ is the sampling frequency and \f$L_{PRN}\f$ is the PRN sequence length.
*
*/
float cn0_svn_estimator(gr_complex* Prompt_buffer, int length, long fs_in, double code_length)
{
float SNR = 0;
float SNR_dB_Hz = 0;
float Psig = 0;
float Ptot = 0;
for (int i=0; i<length; i++)
{
Psig += std::abs(Prompt_buffer[i].real());
Ptot += Prompt_buffer[i].imag() * Prompt_buffer[i].imag() + Prompt_buffer[i].real() * Prompt_buffer[i].real();
}
Psig = Psig / (float)length;
Psig = Psig * Psig;
Ptot = Ptot / (float)length;
SNR = Psig / (Ptot - Psig);
SNR_dB_Hz = 10 * log10(SNR) + 10 * log10(fs_in/2) - 10 * log10((float)code_length);
return SNR_dB_Hz;
}
/*
* The estimate of the cosine of twice the carrier phase error is given by
* \f{equation}
* \cos(2\phi)=\frac{NBD}{NBP},
* \f}
* where \f$NBD=(\sum^{N-1}_{i=0}Im(Pc(i)))^2-(\sum^{N-1}_{i=0}Re(Pc(i)))^2\f$,
* \f$NBP=(\sum^{N-1}_{i=0}Im(Pc(i)))^2+(\sum^{N-1}_{i=0}Re(Pc(i)))^2\f$, and
* \f$Pc(i)\f$ is the prompt correlator output for the sample index i.
*/
float carrier_lock_detector(gr_complex* Prompt_buffer, int length)
{
float tmp_sum_I = 0;
float tmp_sum_Q = 0;
float NBD = 0;
float NBP = 0;
for (int i=0; i<length; i++)
{
tmp_sum_I += Prompt_buffer[i].real();
tmp_sum_Q += Prompt_buffer[i].imag();
}
NBP = tmp_sum_I*tmp_sum_I + tmp_sum_Q*tmp_sum_Q;
NBD = tmp_sum_I*tmp_sum_I - tmp_sum_Q*tmp_sum_Q;
return NBD/NBP;
}