gnss-sdr/src/algorithms/PVT/libs/gps_l1_ca_ls_pvt.cc

512 lines
20 KiB
C++

/*!
* \file gps_l1_ca_ls_pvt.cc
* \brief Implementation of a Least Squares Position, Velocity, and Time
* (PVT) solver, based on K.Borre's Matlab receiver.
* \author Javier Arribas, 2011. jarribas(at)cttc.es
* -------------------------------------------------------------------------
*
* Copyright (C) 2010-2012 (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 "armadillo"
#include "gps_l1_ca_ls_pvt.h"
#include "GPS_L1_CA.h"
#include <glog/log_severity.h>
#include <glog/logging.h>
#include "boost/date_time/posix_time/posix_time.hpp"
#include "gnss_synchro.h"
using google::LogMessage;
gps_l1_ca_ls_pvt::gps_l1_ca_ls_pvt(int nchannels,std::string dump_filename, bool flag_dump_to_file)
{
// init empty ephemeris for all the available GNSS channels
d_nchannels = nchannels;
d_ephemeris = new Gps_Navigation_Message[nchannels];
d_dump_filename = dump_filename;
d_flag_dump_enabled = flag_dump_to_file;
d_averaging_depth = 0;
d_GPS_current_time=0;;
b_valid_position=false;
// ############# ENABLE DATA FILE LOG #################
if (d_flag_dump_enabled == true)
{
if (d_dump_file.is_open() == false)
{
try
{
d_dump_file.exceptions (std::ifstream::failbit | std::ifstream::badbit);
d_dump_file.open(d_dump_filename.c_str(), std::ios::out | std::ios::binary);
std::cout << "PVT lib dump enabled Log file: "<< d_dump_filename.c_str() << std::endl;
}
catch (std::ifstream::failure e)
{
std::cout << "Exception opening PVT lib dump file "<< e.what() << std::endl;
}
}
}
}
void gps_l1_ca_ls_pvt::set_averaging_depth(int depth)
{
d_averaging_depth = depth;
}
gps_l1_ca_ls_pvt::~gps_l1_ca_ls_pvt()
{
d_dump_file.close();
delete[] d_ephemeris;
}
arma::vec gps_l1_ca_ls_pvt::e_r_corr(double traveltime, arma::vec X_sat)
{
/*
* Returns rotated satellite ECEF coordinates due to Earth
* rotation during signal travel time
*
* Inputs:
* travelTime - signal travel time
* X_sat - satellite's ECEF coordinates
*
* Returns:
* X_sat_rot - rotated satellite's coordinates (ECEF)
*/
//const double Omegae_dot = 7.292115147e-5; // rad/sec
//--- Find rotation angle --------------------------------------------------
double omegatau;
omegatau = OMEGA_EARTH_DOT * traveltime;
//--- Make a rotation matrix -----------------------------------------------
arma::mat R3 = arma::zeros(3,3);
R3(0, 0) = cos(omegatau);
R3(0, 1) = sin(omegatau);
R3(0, 2) = 0.0;
R3(1, 0) = -sin(omegatau);
R3(1, 1) = cos(omegatau);
R3(1, 2) = 0.0;
R3(2, 0) = 0.0;
R3(2, 1) = 0.0;
R3(2, 2) = 1;
//--- Do the rotation ------------------------------------------------------
arma::vec X_sat_rot;
X_sat_rot = R3 * X_sat;
return X_sat_rot;
}
arma::vec gps_l1_ca_ls_pvt::leastSquarePos(arma::mat satpos, arma::vec obs, arma::mat w)
{
/*Function calculates the Least Square Solution.
* Inputs:
* satpos - Satellites positions in ECEF system: [X; Y; Z;]
* obs - Observations - the pseudorange measurements to each
* satellite
* w - weigths vector
*
* Returns:
* pos - receiver position and receiver clock error
* (in ECEF system: [X, Y, Z, dt])
*/
//=== Initialization =======================================================
int nmbOfIterations = 10; // TODO: include in config
//double dtr = GPS_PI / 180.0;
int nmbOfSatellites;
nmbOfSatellites = satpos.n_cols; //Armadillo
arma::vec pos = "0.0 0.0 0.0 0.0";
arma::mat A;
arma::mat omc;
arma::mat az;
arma::mat el;
A=arma::zeros(nmbOfSatellites, 4);
omc=arma::zeros(nmbOfSatellites, 1);
az=arma::zeros(1, nmbOfSatellites);
el=arma::zeros(1, nmbOfSatellites);
for (int i = 0; i < nmbOfSatellites; i++)
{
for (int j = 0; j < 4; j++)
{
A(i, j) = 0.0; //Armadillo
}
omc(i, 0) = 0.0;
az(0, i)= 0.0;
}
el = az;
arma::mat X = satpos;
arma::vec Rot_X;
double rho2;
double traveltime;
double trop;
arma::mat mat_tmp;
arma::vec x;
//=== Iteratively find receiver position ===================================
for (int iter = 0; iter < nmbOfIterations; iter++)
{
for (int i = 0; i < nmbOfSatellites; i++)
{
if (iter == 0)
{
//--- Initialize variables at the first iteration --------------
Rot_X = X.col(i); //Armadillo
trop = 0.0;
}
else
{
//--- Update equations -----------------------------------------
rho2 = (X(0, i) - pos(0))*(X(0, i) - pos(0)) + (X(1, i) - pos(1))*(X(1, i) - pos(1))+ (X(2,i) - pos(2))*(X(2,i) - pos(2));
traveltime = sqrt(rho2) / GPS_C_m_s;
//--- Correct satellite position (do to earth rotation) --------
Rot_X = e_r_corr(traveltime, X.col(i)); //armadillo
//--- Find the elevation angel of the satellite ----------------
//[az(i), el(i), dist] = topocent(pos(1:3, :), Rot_X - pos(1:3, :));
}
//--- Apply the corrections ----------------------------------------
omc(i) = (obs(i) - norm(Rot_X - pos.subvec(0,2),2) - pos(3) - trop); // Armadillo
//--- Construct the A matrix ---------------------------------------
//Armadillo
A(i,0) = (-(Rot_X(0) - pos(0))) / obs(i);
A(i,1) = (-(Rot_X(1) - pos(1))) / obs(i);
A(i,2) = (-(Rot_X(2) - pos(2))) / obs(i);
A(i,3) = 1.0;
}
// These lines allow the code to exit gracefully in case of any errors
//if (rank(A) != 4) {
// pos.clear();
// return pos;
//}
//--- Find position update ---------------------------------------------
x = arma::solve(w*A, w*omc); // Armadillo
//--- Apply position update --------------------------------------------
pos = pos + x;
}
return pos;
}
bool gps_l1_ca_ls_pvt::get_PVT(std::map<int,Gnss_Synchro> gnss_pseudoranges_map,double GPS_current_time,bool flag_averaging)
{
std::map<int,Gnss_Synchro>::iterator gnss_pseudoranges_iter;
arma::mat W = arma::eye(d_nchannels,d_nchannels); //channels weights matrix
arma::vec obs = arma::zeros(d_nchannels); // pseudoranges observation vector
arma::mat satpos = arma::zeros(3,d_nchannels); //satellite positions matrix
int GPS_week = 0;
double GPS_corrected_time = 0;
double utc = 0;
int valid_obs=0; //valid observations counter
for (int i=0; i<d_nchannels; i++)
{
if (d_ephemeris[i].satellite_validation() == true)
{
gnss_pseudoranges_iter = gnss_pseudoranges_map.find(d_ephemeris[i].i_satellite_PRN);
if (gnss_pseudoranges_iter != gnss_pseudoranges_map.end())
{
/*!
* \todo Place here the satellite CN0 (power level, or weight factor)
*/
W(i,i) = 1;
// compute the GPS master clock
// d_ephemeris[i].master_clock(GPS_current_time); ?????
// compute the clock error including relativistic effects
GPS_corrected_time = d_ephemeris[i].sv_clock_correction(GPS_current_time);
GPS_week = d_ephemeris[i].i_GPS_week;
utc = d_ephemeris[i].utc_time(GPS_corrected_time);
// compute the satellite current ECEF position
d_ephemeris[i].satellitePosition(GPS_corrected_time);
satpos(0,i) = d_ephemeris[i].d_satpos_X;
satpos(1,i) = d_ephemeris[i].d_satpos_Y;
satpos(2,i) = d_ephemeris[i].d_satpos_Z;
LOG_AT_LEVEL(INFO) << "ECEF satellite SV ID=" << d_ephemeris[i].i_satellite_PRN <<" X=" << d_ephemeris[i].d_satpos_X
<< " [m] Y=" << d_ephemeris[i].d_satpos_Y << " [m] Z=" << d_ephemeris[i].d_satpos_Z << " [m]" << std::endl;
obs(i) = gnss_pseudoranges_iter->second.Pseudorange_m + d_ephemeris[i].d_satClkCorr*GPS_C_m_s;
valid_obs++;
}
else
{
// no valid pseudorange for the current channel
W(i,i) = 0; // channel de-activated
obs(i) = 1; // to avoid algorithm problems (divide by zero)
}
}
else
{
// no valid ephemeris for the current channel
W(i,i) = 0; // channel de-activated
obs(i) = 1; // to avoid algorithm problems (divide by zero)
}
}
LOG_AT_LEVEL(INFO) <<"PVT: valid observations="<<valid_obs<<std::endl;
if (valid_obs>=4)
{
arma::vec mypos;
mypos=leastSquarePos(satpos,obs,W);
LOG_AT_LEVEL(INFO) << "Position at TOW="<< GPS_current_time << " in ECEF (X,Y,Z) = " << mypos << std::endl;
cart2geo(mypos(0), mypos(1), mypos(2), 4);
// Compute UTC time and print PVT solution
boost::posix_time::time_duration t = boost::posix_time::seconds(utc + 604800.0*(double)GPS_week);
boost::posix_time::ptime p_time(boost::gregorian::date(1999, 8, 22), t);
d_position_UTC_time = p_time;
GPS_current_time=GPS_corrected_time;
LOG_AT_LEVEL(INFO) << "Position at " << boost::posix_time::to_simple_string(p_time)
<< " is Lat = " << d_latitude_d << " [deg], Long = " << d_longitude_d
<< " [deg], Height= " << d_height_m << " [m]" << std::endl;
// ######## LOG FILE #########
if(d_flag_dump_enabled == true)
{
// MULTIPLEXED FILE RECORDING - Record results to file
try
{
double tmp_double;
// PVT GPS time
tmp_double = GPS_current_time;
d_dump_file.write((char*)&tmp_double, sizeof(double));
// ECEF User Position East [m]
tmp_double = mypos(0);
d_dump_file.write((char*)&tmp_double, sizeof(double));
// ECEF User Position North [m]
tmp_double = mypos(1);
d_dump_file.write((char*)&tmp_double, sizeof(double));
// ECEF User Position Up [m]
tmp_double = mypos(2);
d_dump_file.write((char*)&tmp_double, sizeof(double));
// User clock offset [s]
tmp_double = mypos(3);
d_dump_file.write((char*)&tmp_double, sizeof(double));
// GEO user position Latitude [deg]
tmp_double = d_latitude_d;
d_dump_file.write((char*)&tmp_double, sizeof(double));
// GEO user position Longitude [deg]
tmp_double = d_longitude_d;
d_dump_file.write((char*)&tmp_double, sizeof(double));
// GEO user position Height [m]
tmp_double = d_height_m;
d_dump_file.write((char*)&tmp_double, sizeof(double));
}
catch (std::ifstream::failure e)
{
std::cout << "Exception writing PVT LS dump file "<<e.what()<<"\r\n";
}
}
// MOVING AVERAGE PVT
if (flag_averaging == true)
{
if (d_hist_longitude_d.size() == (unsigned int)d_averaging_depth)
{
// Pop oldest value
d_hist_longitude_d.pop_back();
d_hist_latitude_d.pop_back();
d_hist_height_m.pop_back();
// Push new values
d_hist_longitude_d.push_front(d_longitude_d);
d_hist_latitude_d.push_front(d_latitude_d);
d_hist_height_m.push_front(d_height_m);
d_avg_latitude_d = 0;
d_avg_longitude_d = 0;
d_avg_height_m = 0;
for (unsigned int i=0; i<d_hist_longitude_d.size(); i++)
{
d_avg_latitude_d = d_avg_latitude_d + d_hist_latitude_d.at(i);
d_avg_longitude_d = d_avg_longitude_d + d_hist_longitude_d.at(i);
d_avg_height_m = d_avg_height_m + d_hist_height_m.at(i);
}
d_avg_latitude_d = d_avg_latitude_d / (double)d_averaging_depth;
d_avg_longitude_d = d_avg_longitude_d / (double)d_averaging_depth;
d_avg_height_m = d_avg_height_m / (double)d_averaging_depth;
b_valid_position=true;
return true; //indicates that the returned position is valid
}
else
{
//int current_depth=d_hist_longitude_d.size();
// Push new values
d_hist_longitude_d.push_front(d_longitude_d);
d_hist_latitude_d.push_front(d_latitude_d);
d_hist_height_m.push_front(d_height_m);
d_avg_latitude_d = d_latitude_d;
d_avg_longitude_d = d_longitude_d;
d_avg_height_m = d_height_m;
b_valid_position=false;
return false;//indicates that the returned position is not valid yet
// output the average, although it will not have the full historic available
// d_avg_latitude_d=0;
// d_avg_longitude_d=0;
// d_avg_height_m=0;
// for (unsigned int i=0;i<d_hist_longitude_d.size();i++)
// {
// d_avg_latitude_d=d_avg_latitude_d+d_hist_latitude_d.at(i);
// d_avg_longitude_d=d_avg_longitude_d+d_hist_longitude_d.at(i);
// d_avg_height_m=d_avg_height_m+d_hist_height_m.at(i);
// }
// d_avg_latitude_d=d_avg_latitude_d/(double)current_depth;
// d_avg_longitude_d=d_avg_longitude_d/(double)current_depth;
// d_avg_height_m=d_avg_height_m/(double)current_depth;
}
}
else
{
b_valid_position=true;
return true;//indicates that the returned position is valid
}
}
else
{
b_valid_position=false;
return false;
}
}
void gps_l1_ca_ls_pvt::cart2geo(double X, double Y, double Z, int elipsoid_selection)
{
// Conversion of Cartesian coordinates (X,Y,Z) to geographical
// coordinates (latitude, longitude, h) on a selected reference ellipsoid.
//
//
// Choices of Reference Ellipsoid for Geographical Coordinates
// 0. International Ellipsoid 1924
// 1. International Ellipsoid 1967
// 2. World Geodetic System 1972
// 3. Geodetic Reference System 1980
// 4. World Geodetic System 1984
const double a[5] = {6378388, 6378160, 6378135, 6378137, 6378137};
const double f[5] = {1/297, 1/298.247, 1/298.26, 1/298.257222101, 1/298.257223563};
double lambda;
lambda = atan2(Y,X);
double ex2;
ex2 = (2 - f[elipsoid_selection]) * f[elipsoid_selection] / ((1 - f[elipsoid_selection])*(1 -f[elipsoid_selection]));
double c;
c = a[elipsoid_selection] * sqrt(1+ex2);
double phi;
phi = atan(Z / ((sqrt(X*X + Y*Y)*(1 - (2 - f[elipsoid_selection])) * f[elipsoid_selection])));
double h = 0.1;
double oldh = 0;
double N;
int iterations = 0;
do
{
oldh = h;
N = c / sqrt(1 + ex2 * (cos(phi) * cos(phi)));
phi = atan(Z / ((sqrt(X*X + Y*Y) * (1 - (2 -f[elipsoid_selection]) * f[elipsoid_selection] *N / (N + h) ))));
h = sqrt(X*X + Y*Y) / cos(phi) - N;
iterations = iterations + 1;
if (iterations > 100)
{
std::cout << "Failed to approximate h with desired precision. h-oldh= " << h-oldh << std::endl;
break;
}
}
while (abs(h - oldh) > 1.0e-12);
d_latitude_d = phi * 180.0 / GPS_PI;
d_longitude_d = lambda * 180 / GPS_PI;
d_height_m = h;
}
//void gps_l1_ca_ls_pvt::topocent(traveltime, X_sat)
//{
/*
%function [Az, El, D] = topocent(X, dx)
%TOPOCENT Transformation of vector dx into topocentric coordinate
% system with origin at X.
% Both parameters are 3 by 1 vectors.
%
%[Az, El, D] = topocent(X, dx);
%
% Inputs:
% X - vector origin corrdinates (in ECEF system [X; Y; Z;])
% dx - vector ([dX; dY; dZ;]).
%
% Outputs:
% D - vector length. Units like units of the input
% Az - azimuth from north positive clockwise, degrees
% El - elevation angle, degrees
dtr = pi/180;
[phi, lambda, h] = togeod(6378137, 298.257223563, X(1), X(2), X(3));
cl = cos(lambda * dtr);
sl = sin(lambda * dtr);
cb = cos(phi * dtr);
sb = sin(phi * dtr);
F = [-sl -sb*cl cb*cl;
cl -sb*sl cb*sl;
0 cb sb];
local_vector = F' * dx;
E = local_vector(1);
N = local_vector(2);
U = local_vector(3);
hor_dis = sqrt(E^2 + N^2);
if hor_dis < 1.e-20
Az = 0;
El = 90;
else
Az = atan2(E, N)/dtr;
El = atan2(U, hor_dis)/dtr;
end
if Az < 0
Az = Az + 360;
end
D = sqrt(dx(1)^2 + dx(2)^2 + dx(3)^2);
%%%%%%%%% end topocent.m %%%%%%%%%
*/
//}