1 | // Part of BNC, a utility for retrieving decoding and
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2 | // converting GNSS data streams from NTRIP broadcasters.
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3 | //
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4 | // Copyright (C) 2007
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5 | // German Federal Agency for Cartography and Geodesy (BKG)
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6 | // http://www.bkg.bund.de
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7 | // Czech Technical University Prague, Department of Geodesy
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8 | // http://www.fsv.cvut.cz
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9 | //
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10 | // Email: euref-ip@bkg.bund.de
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11 | //
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12 | // This program is free software; you can redistribute it and/or
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13 | // modify it under the terms of the GNU General Public License
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14 | // as published by the Free Software Foundation, version 2.
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15 | //
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16 | // This program is distributed in the hope that it will be useful,
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17 | // but WITHOUT ANY WARRANTY; without even the implied warranty of
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18 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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19 | // GNU General Public License for more details.
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20 | //
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21 | // You should have received a copy of the GNU General Public License
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22 | // along with this program; if not, write to the Free Software
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23 | // Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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24 |
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25 | /* -------------------------------------------------------------------------
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26 | * BKG NTRIP Client
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27 | * -------------------------------------------------------------------------
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28 | *
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29 | * Class: bncParam, bncModel
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30 | *
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31 | * Purpose: Model for PPP
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32 | *
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33 | * Author: L. Mervart
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34 | *
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35 | * Created: 01-Dec-2009
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36 | *
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37 | * Changes:
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38 | *
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39 | * -----------------------------------------------------------------------*/
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40 |
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41 | #include <iomanip>
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42 | #include <cmath>
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43 | #include <newmatio.h>
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44 | #include <sstream>
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45 |
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46 | #include "bncmodel.h"
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47 | #include "bncapp.h"
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48 | #include "bncpppclient.h"
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49 | #include "bancroft.h"
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50 | #include "bncutils.h"
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51 | #include "bncsettings.h"
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52 | #include "bnctides.h"
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53 |
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54 | using namespace std;
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55 |
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56 | const unsigned MINOBS = 4;
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57 | const double MINELE_GPS = 10.0 * M_PI / 180.0;
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58 | const double MINELE_GLO = 10.0 * M_PI / 180.0;
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59 | const double MAXRES_CODE_GPS = 10.0;
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60 | const double MAXRES_PHASE_GPS = 0.10;
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61 | const double MAXRES_PHASE_GLO = 0.05;
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62 | const double QUICKSTART = 120.0;
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63 | const double sig_clk_0 = 1000.0;
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64 | const double sig_trp_0 = 0.10;
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65 | const double sig_trp_p = 1e-8;
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66 | const double sig_amb_0_GPS = 1000.0;
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67 | const double sig_amb_0_GLO = 1000.0;
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68 | const double sig_L3_GPS = 0.02;
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69 | const double sig_L3_GLO = 0.05;
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70 |
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71 | // Constructor
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72 | ////////////////////////////////////////////////////////////////////////////
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73 | bncParam::bncParam(bncParam::parType typeIn, int indexIn,
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74 | const QString& prnIn) {
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75 | type = typeIn;
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76 | index = indexIn;
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77 | prn = prnIn;
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78 | index_old = 0;
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79 | xx = 0.0;
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80 |
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81 | }
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82 |
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83 | // Destructor
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84 | ////////////////////////////////////////////////////////////////////////////
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85 | bncParam::~bncParam() {
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86 | }
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87 |
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88 | // Partial
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89 | ////////////////////////////////////////////////////////////////////////////
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90 | double bncParam::partial(t_satData* satData, bool phase) {
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91 |
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92 | // Coordinates
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93 | // -----------
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94 | if (type == CRD_X) {
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95 | return (xx - satData->xx(1)) / satData->rho;
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96 | }
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97 | else if (type == CRD_Y) {
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98 | return (xx - satData->xx(2)) / satData->rho;
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99 | }
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100 | else if (type == CRD_Z) {
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101 | return (xx - satData->xx(3)) / satData->rho;
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102 | }
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103 |
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104 | // Receiver Clocks
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105 | // ---------------
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106 | else if (type == RECCLK) {
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107 | return 1.0;
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108 | }
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109 |
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110 | // Troposphere
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111 | // -----------
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112 | else if (type == TROPO) {
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113 | return 1.0 / sin(satData->eleSat);
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114 | }
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115 |
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116 | // Ambiguities
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117 | // -----------
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118 | else if (type == AMB_L3) {
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119 | if (phase && satData->prn == prn) {
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120 | return 1.0;
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121 | }
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122 | else {
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123 | return 0.0;
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124 | }
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125 | }
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126 |
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127 | // Default return
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128 | // --------------
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129 | return 0.0;
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130 | }
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131 |
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132 | // Constructor
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133 | ////////////////////////////////////////////////////////////////////////////
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134 | bncModel::bncModel(QByteArray staID) {
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135 |
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136 | _staID = staID;
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137 |
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138 | _startTime = QDateTime::currentDateTime();
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139 |
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140 | bncSettings settings;
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141 |
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142 | double sig_crd_0 = 100.0;
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143 |
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144 | if (settings.value("pppOrigin").toString() == "QuickStart - Static" ||
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145 | settings.value("pppOrigin").toString() == "QuickStart - Mobile") {
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146 | sig_crd_0 = 000.01;
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147 | }
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148 |
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149 | connect(this, SIGNAL(newMessage(QByteArray,bool)),
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150 | ((bncApp*)qApp), SLOT(slotMessage(const QByteArray,bool)));
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151 |
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152 | _static = false;
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153 | if ( Qt::CheckState(settings.value("pppStatic").toInt()) == Qt::Checked) {
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154 | _static = true;
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155 | }
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156 |
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157 | _usePhase = false;
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158 | if ( Qt::CheckState(settings.value("pppUsePhase").toInt()) == Qt::Checked) {
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159 | _usePhase = true;
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160 | }
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161 |
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162 | _estTropo = false;
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163 | if ( Qt::CheckState(settings.value("pppEstTropo").toInt()) == Qt::Checked) {
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164 | _estTropo = true;
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165 | }
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166 |
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167 | _xcBanc.ReSize(4); _xcBanc = 0.0;
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168 | _ellBanc.ReSize(3); _ellBanc = 0.0;
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169 |
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170 | if (_usePhase &&
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171 | Qt::CheckState(settings.value("pppGLONASS").toInt()) == Qt::Checked) {
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172 | _useGlonass = true;
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173 | }
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174 | else {
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175 | _useGlonass = false;
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176 | }
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177 |
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178 | int nextPar = 0;
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179 | _params.push_back(new bncParam(bncParam::CRD_X, ++nextPar, ""));
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180 | _params.push_back(new bncParam(bncParam::CRD_Y, ++nextPar, ""));
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181 | _params.push_back(new bncParam(bncParam::CRD_Z, ++nextPar, ""));
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182 | _params.push_back(new bncParam(bncParam::RECCLK, ++nextPar, ""));
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183 | if (_estTropo) {
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184 | _params.push_back(new bncParam(bncParam::TROPO, ++nextPar, ""));
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185 | }
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186 |
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187 | unsigned nPar = _params.size();
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188 |
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189 | _QQ.ReSize(nPar);
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190 |
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191 | _QQ = 0.0;
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192 |
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193 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
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194 | bncParam* pp = _params[iPar-1];
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195 | if (pp->isCrd()) {
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196 | _QQ(iPar,iPar) = sig_crd_0 * sig_crd_0;
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197 | }
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198 | else if (pp->type == bncParam::RECCLK) {
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199 | _QQ(iPar,iPar) = sig_clk_0 * sig_clk_0;
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200 | }
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201 | else if (pp->type == bncParam::TROPO) {
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202 | _QQ(iPar,iPar) = sig_trp_0 * sig_trp_0;
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203 | }
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204 | }
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205 |
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206 | // NMEA Output
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207 | // -----------
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208 | QString nmeaFileName = settings.value("nmeaFile").toString();
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209 | if (nmeaFileName.isEmpty()) {
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210 | _nmeaFile = 0;
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211 | _nmeaStream = 0;
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212 | }
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213 | else {
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214 | expandEnvVar(nmeaFileName);
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215 | _nmeaFile = new QFile(nmeaFileName);
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216 | if ( Qt::CheckState(settings.value("rnxAppend").toInt()) == Qt::Checked) {
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217 | _nmeaFile->open(QIODevice::WriteOnly | QIODevice::Append);
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218 | }
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219 | else {
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220 | _nmeaFile->open(QIODevice::WriteOnly);
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221 | }
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222 | _nmeaStream = new QTextStream();
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223 | _nmeaStream->setDevice(_nmeaFile);
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224 | }
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225 | }
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226 |
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227 | // Destructor
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228 | ////////////////////////////////////////////////////////////////////////////
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229 | bncModel::~bncModel() {
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230 | delete _nmeaStream;
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231 | delete _nmeaFile;
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232 | for (int ii = 0; ii < _posAverage.size(); ++ii) {
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233 | delete _posAverage[ii];
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234 | }
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235 | }
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236 |
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237 | // Bancroft Solution
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238 | ////////////////////////////////////////////////////////////////////////////
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239 | t_irc bncModel::cmpBancroft(t_epoData* epoData) {
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240 |
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241 | if (epoData->sizeGPS() < MINOBS) {
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242 | _log += "bncModel::cmpBancroft: not enough data\n";
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243 | return failure;
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244 | }
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245 |
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246 | Matrix BB(epoData->sizeGPS(), 4);
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247 |
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248 | QMapIterator<QString, t_satData*> it(epoData->satDataGPS);
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249 | int iObs = 0;
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250 | while (it.hasNext()) {
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251 | ++iObs;
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252 | it.next();
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253 | QString prn = it.key();
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254 | t_satData* satData = it.value();
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255 | BB(iObs, 1) = satData->xx(1);
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256 | BB(iObs, 2) = satData->xx(2);
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257 | BB(iObs, 3) = satData->xx(3);
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258 | BB(iObs, 4) = satData->P3 + satData->clk;
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259 | }
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260 |
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261 | bancroft(BB, _xcBanc);
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262 |
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263 | // Ellipsoidal Coordinates
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264 | // ------------------------
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265 | xyz2ell(_xcBanc.data(), _ellBanc.data());
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266 |
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267 | // Compute Satellite Elevations
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268 | // ----------------------------
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269 | QMutableMapIterator<QString, t_satData*> iGPS(epoData->satDataGPS);
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270 | while (iGPS.hasNext()) {
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271 | iGPS.next();
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272 | QString prn = iGPS.key();
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273 | t_satData* satData = iGPS.value();
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274 |
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275 | ColumnVector rr = satData->xx - _xcBanc.Rows(1,3);
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276 | double rho = rr.norm_Frobenius();
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277 |
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278 | double neu[3];
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279 | xyz2neu(_ellBanc.data(), rr.data(), neu);
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280 |
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281 | satData->eleSat = acos( sqrt(neu[0]*neu[0] + neu[1]*neu[1]) / rho );
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282 | if (neu[2] < 0) {
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283 | satData->eleSat *= -1.0;
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284 | }
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285 | satData->azSat = atan2(neu[1], neu[0]);
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286 |
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287 | if (satData->eleSat < MINELE_GPS) {
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288 | delete satData;
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289 | iGPS.remove();
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290 | }
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291 | }
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292 |
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293 | QMutableMapIterator<QString, t_satData*> iGlo(epoData->satDataGlo);
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294 | while (iGlo.hasNext()) {
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295 | iGlo.next();
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296 | QString prn = iGlo.key();
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297 | t_satData* satData = iGlo.value();
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298 |
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299 | ColumnVector rr = satData->xx - _xcBanc.Rows(1,3);
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300 | double rho = rr.norm_Frobenius();
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301 |
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302 | double neu[3];
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303 | xyz2neu(_ellBanc.data(), rr.data(), neu);
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304 |
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305 | satData->eleSat = acos( sqrt(neu[0]*neu[0] + neu[1]*neu[1]) / rho );
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306 | if (neu[2] < 0) {
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307 | satData->eleSat *= -1.0;
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308 | }
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309 | satData->azSat = atan2(neu[1], neu[0]);
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310 |
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311 | if (satData->eleSat < MINELE_GLO) {
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312 | delete satData;
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313 | iGlo.remove();
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314 | }
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315 | }
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316 |
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317 | return success;
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318 | }
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319 |
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320 | // Computed Value
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321 | ////////////////////////////////////////////////////////////////////////////
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322 | double bncModel::cmpValue(t_satData* satData, bool phase) {
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323 |
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324 | ColumnVector xRec(3);
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325 | xRec(1) = x();
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326 | xRec(2) = y();
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327 | xRec(3) = z();
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328 |
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329 | double rho0 = (satData->xx - xRec).norm_Frobenius();
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330 | double dPhi = t_CST::omega * rho0 / t_CST::c;
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331 |
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332 | xRec(1) = x() * cos(dPhi) - y() * sin(dPhi);
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333 | xRec(2) = y() * cos(dPhi) + x() * sin(dPhi);
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334 | xRec(3) = z();
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335 |
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336 | tides(_time, xRec);
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337 |
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338 | satData->rho = (satData->xx - xRec).norm_Frobenius();
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339 |
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340 | double tropDelay = delay_saast(satData->eleSat) +
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341 | trp() / sin(satData->eleSat);
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342 |
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343 | double wind = 0.0;
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344 | if (phase) {
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345 | wind = windUp(satData->prn, satData->xx, xRec) * satData->lambda3;
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346 | }
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347 |
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348 | return satData->rho + clk() - satData->clk + tropDelay + wind;
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349 | }
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350 |
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351 | // Tropospheric Model (Saastamoinen)
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352 | ////////////////////////////////////////////////////////////////////////////
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353 | double bncModel::delay_saast(double Ele) {
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354 |
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355 | double height = _ellBanc(3);
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356 |
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357 | double pp = 1013.25 * pow(1.0 - 2.26e-5 * height, 5.225);
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358 | double TT = 18.0 - height * 0.0065 + 273.15;
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359 | double hh = 50.0 * exp(-6.396e-4 * height);
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360 | double ee = hh / 100.0 * exp(-37.2465 + 0.213166*TT - 0.000256908*TT*TT);
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361 |
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362 | double h_km = height / 1000.0;
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363 |
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364 | if (h_km < 0.0) h_km = 0.0;
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365 | if (h_km > 5.0) h_km = 5.0;
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366 | int ii = int(h_km + 1);
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367 | double href = ii - 1;
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368 |
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369 | double bCor[6];
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370 | bCor[0] = 1.156;
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371 | bCor[1] = 1.006;
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372 | bCor[2] = 0.874;
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373 | bCor[3] = 0.757;
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374 | bCor[4] = 0.654;
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375 | bCor[5] = 0.563;
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376 |
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377 | double BB = bCor[ii-1] + (bCor[ii]-bCor[ii-1]) * (h_km - href);
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378 |
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379 | double zen = M_PI/2.0 - Ele;
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380 |
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381 | return (0.002277/cos(zen)) * (pp + ((1255.0/TT)+0.05)*ee - BB*(tan(zen)*tan(zen)));
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382 | }
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383 |
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384 | // Prediction Step of the Filter
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385 | ////////////////////////////////////////////////////////////////////////////
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386 | void bncModel::predict(t_epoData* epoData) {
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387 |
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388 | bncSettings settings;
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389 |
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390 | bool firstCrd = false;
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391 | if (x() == 0.0 && y() == 0.0 && z() == 0.0) {
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392 | firstCrd = true;
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393 | }
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394 |
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395 | bool quickStartInit = false;
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396 | double sig_crd_p = 100.0;
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397 |
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398 | if ( (settings.value("pppOrigin").toString() == "QuickStart - Static" ||
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399 | settings.value("pppOrigin").toString() == "QuickStart - Mobile") &&
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400 | _startTime.secsTo(QDateTime::currentDateTime()) < QUICKSTART ) {
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401 | quickStartInit = true;
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402 | sig_crd_p = 0.0;
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403 | }
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404 |
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405 | // Predict Parameter values, add white noise
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406 | // -----------------------------------------
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407 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
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408 | bncParam* pp = _params[iPar-1];
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409 |
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410 | // Coordinates
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411 | // -----------
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412 | if (pp->type == bncParam::CRD_X) {
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413 | if (firstCrd || !_static) {
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414 | if (quickStartInit) {
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415 | pp->xx = settings.value("pppRefCrdX").toDouble();
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416 | }
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417 | else {
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418 | pp->xx = _xcBanc(1);
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419 | }
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420 | }
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421 | _QQ(iPar,iPar) += sig_crd_p * sig_crd_p;
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422 | }
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423 | else if (pp->type == bncParam::CRD_Y) {
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424 | if (firstCrd || !_static) {
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425 | if (quickStartInit) {
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426 | pp->xx = settings.value("pppRefCrdY").toDouble();
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427 | }
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428 | else {
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429 | pp->xx = _xcBanc(2);
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430 | }
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431 | }
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432 | _QQ(iPar,iPar) += sig_crd_p * sig_crd_p;
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433 | }
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434 | else if (pp->type == bncParam::CRD_Z) {
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435 | if (firstCrd || !_static) {
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436 | if (quickStartInit) {
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437 | pp->xx = settings.value("pppRefCrdZ").toDouble();
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438 | }
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439 | else {
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440 | pp->xx = _xcBanc(3);
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441 | }
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442 | }
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443 | _QQ(iPar,iPar) += sig_crd_p * sig_crd_p;
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444 | }
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445 |
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446 | // Receiver Clocks
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447 | // ---------------
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448 | else if (pp->type == bncParam::RECCLK) {
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449 | pp->xx = _xcBanc(4);
|
---|
450 | for (int jj = 1; jj <= _params.size(); jj++) {
|
---|
451 | _QQ(iPar, jj) = 0.0;
|
---|
452 | }
|
---|
453 | _QQ(iPar,iPar) = sig_clk_0 * sig_clk_0;
|
---|
454 | }
|
---|
455 |
|
---|
456 | // Tropospheric Delay
|
---|
457 | // ------------------
|
---|
458 | else if (pp->type == bncParam::TROPO) {
|
---|
459 | _QQ(iPar,iPar) += sig_trp_p * sig_trp_p;
|
---|
460 | }
|
---|
461 | }
|
---|
462 |
|
---|
463 | // Add New Ambiguities if necessary
|
---|
464 | // --------------------------------
|
---|
465 | if (_usePhase) {
|
---|
466 |
|
---|
467 | // Make a copy of QQ and xx, set parameter indices
|
---|
468 | // -----------------------------------------------
|
---|
469 | SymmetricMatrix QQ_old = _QQ;
|
---|
470 |
|
---|
471 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
472 | _params[iPar-1]->index_old = _params[iPar-1]->index;
|
---|
473 | _params[iPar-1]->index = 0;
|
---|
474 | }
|
---|
475 |
|
---|
476 | // Remove Ambiguity Parameters without observations
|
---|
477 | // ------------------------------------------------
|
---|
478 | int iPar = 0;
|
---|
479 | QMutableVectorIterator<bncParam*> it(_params);
|
---|
480 | while (it.hasNext()) {
|
---|
481 | bncParam* par = it.next();
|
---|
482 | bool removed = false;
|
---|
483 | if (par->type == bncParam::AMB_L3) {
|
---|
484 | if (epoData->satDataGPS.find(par->prn) == epoData->satDataGPS.end() &&
|
---|
485 | epoData->satDataGlo.find(par->prn) == epoData->satDataGlo.end() ) {
|
---|
486 | removed = true;
|
---|
487 | delete par;
|
---|
488 | it.remove();
|
---|
489 | }
|
---|
490 | }
|
---|
491 | if (! removed) {
|
---|
492 | ++iPar;
|
---|
493 | par->index = iPar;
|
---|
494 | }
|
---|
495 | }
|
---|
496 |
|
---|
497 | // Add new ambiguity parameters
|
---|
498 | // ----------------------------
|
---|
499 | QMapIterator<QString, t_satData*> iGPS(epoData->satDataGPS);
|
---|
500 | while (iGPS.hasNext()) {
|
---|
501 | iGPS.next();
|
---|
502 | QString prn = iGPS.key();
|
---|
503 | t_satData* satData = iGPS.value();
|
---|
504 | bool found = false;
|
---|
505 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
506 | if (_params[iPar-1]->type == bncParam::AMB_L3 &&
|
---|
507 | _params[iPar-1]->prn == prn) {
|
---|
508 | found = true;
|
---|
509 | break;
|
---|
510 | }
|
---|
511 | }
|
---|
512 | if (!found) {
|
---|
513 | bncParam* par = new bncParam(bncParam::AMB_L3, _params.size()+1, prn);
|
---|
514 | _params.push_back(par);
|
---|
515 | par->xx = satData->L3 - cmpValue(satData, true);
|
---|
516 | }
|
---|
517 | }
|
---|
518 |
|
---|
519 | QMapIterator<QString, t_satData*> iGlo(epoData->satDataGlo);
|
---|
520 | while (iGlo.hasNext()) {
|
---|
521 | iGlo.next();
|
---|
522 | QString prn = iGlo.key();
|
---|
523 | t_satData* satData = iGlo.value();
|
---|
524 | bool found = false;
|
---|
525 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
526 | if (_params[iPar-1]->type == bncParam::AMB_L3 &&
|
---|
527 | _params[iPar-1]->prn == prn) {
|
---|
528 | found = true;
|
---|
529 | break;
|
---|
530 | }
|
---|
531 | }
|
---|
532 | if (!found) {
|
---|
533 | bncParam* par = new bncParam(bncParam::AMB_L3, _params.size()+1, prn);
|
---|
534 | _params.push_back(par);
|
---|
535 | par->xx = satData->L3 - cmpValue(satData, true);
|
---|
536 | }
|
---|
537 | }
|
---|
538 |
|
---|
539 | int nPar = _params.size();
|
---|
540 | _QQ.ReSize(nPar); _QQ = 0.0;
|
---|
541 | for (int i1 = 1; i1 <= nPar; i1++) {
|
---|
542 | bncParam* p1 = _params[i1-1];
|
---|
543 | if (p1->index_old != 0) {
|
---|
544 | _QQ(p1->index, p1->index) = QQ_old(p1->index_old, p1->index_old);
|
---|
545 | for (int i2 = 1; i2 <= nPar; i2++) {
|
---|
546 | bncParam* p2 = _params[i2-1];
|
---|
547 | if (p2->index_old != 0) {
|
---|
548 | _QQ(p1->index, p2->index) = QQ_old(p1->index_old, p2->index_old);
|
---|
549 | }
|
---|
550 | }
|
---|
551 | }
|
---|
552 | }
|
---|
553 |
|
---|
554 | for (int ii = 1; ii <= nPar; ii++) {
|
---|
555 | bncParam* par = _params[ii-1];
|
---|
556 | if (par->index_old == 0) {
|
---|
557 | if (par->prn[0] == 'R') {
|
---|
558 | _QQ(par->index, par->index) = sig_amb_0_GLO * sig_amb_0_GLO;
|
---|
559 | }
|
---|
560 | else {
|
---|
561 | _QQ(par->index, par->index) = sig_amb_0_GPS * sig_amb_0_GPS;
|
---|
562 | }
|
---|
563 | }
|
---|
564 | par->index_old = par->index;
|
---|
565 | }
|
---|
566 | }
|
---|
567 |
|
---|
568 | }
|
---|
569 |
|
---|
570 | // Update Step of the Filter (currently just a single-epoch solution)
|
---|
571 | ////////////////////////////////////////////////////////////////////////////
|
---|
572 | t_irc bncModel::update(t_epoData* epoData) {
|
---|
573 |
|
---|
574 | bncSettings settings;
|
---|
575 | double sig_P3;
|
---|
576 | sig_P3 = 5.0;
|
---|
577 | if ( Qt::CheckState(settings.value("pppUsePhase").toInt()) == Qt::Checked ) {
|
---|
578 | sig_P3 = settings.value("pppSigmaCode").toDouble();
|
---|
579 | if (sig_P3 < 0.3 || sig_P3 > 50.0) {
|
---|
580 | sig_P3 = 5.0;
|
---|
581 | }
|
---|
582 | }
|
---|
583 |
|
---|
584 | _log.clear();
|
---|
585 |
|
---|
586 | _time = epoData->tt;
|
---|
587 |
|
---|
588 | _log += "Single Point Positioning of Epoch "
|
---|
589 | + QByteArray(_time.timestr(1).c_str()) +
|
---|
590 | "\n--------------------------------------------------------------\n";
|
---|
591 |
|
---|
592 | SymmetricMatrix QQsav;
|
---|
593 | ColumnVector dx;
|
---|
594 | ColumnVector vv;
|
---|
595 |
|
---|
596 | // Loop over all outliers
|
---|
597 | // ----------------------
|
---|
598 | do {
|
---|
599 |
|
---|
600 | // Bancroft Solution
|
---|
601 | // -----------------
|
---|
602 | if (cmpBancroft(epoData) != success) {
|
---|
603 | emit newMessage(_log, false);
|
---|
604 | return failure;
|
---|
605 | }
|
---|
606 |
|
---|
607 | // Status Prediction
|
---|
608 | // -----------------
|
---|
609 | predict(epoData);
|
---|
610 |
|
---|
611 | // Create First-Design Matrix
|
---|
612 | // --------------------------
|
---|
613 | unsigned nPar = _params.size();
|
---|
614 | unsigned nObs = 0;
|
---|
615 | if (_usePhase) {
|
---|
616 | nObs = 2 * epoData->sizeGPS() + epoData->sizeGlo();
|
---|
617 | }
|
---|
618 | else {
|
---|
619 | nObs = epoData->sizeGPS(); // Glonass pseudoranges are not used
|
---|
620 | }
|
---|
621 |
|
---|
622 | if (nObs < nPar) {
|
---|
623 | _log += "bncModel::update: nObs < nPar\n";
|
---|
624 | emit newMessage(_log, false);
|
---|
625 | return failure;
|
---|
626 | }
|
---|
627 |
|
---|
628 | Matrix AA(nObs, nPar); // first design matrix
|
---|
629 | ColumnVector ll(nObs); // tems observed-computed
|
---|
630 | DiagonalMatrix PP(nObs); PP = 0.0;
|
---|
631 |
|
---|
632 | unsigned iObs = 0;
|
---|
633 |
|
---|
634 | // GPS code and (optionally) phase observations
|
---|
635 | // --------------------------------------------
|
---|
636 | QMapIterator<QString, t_satData*> itGPS(epoData->satDataGPS);
|
---|
637 | while (itGPS.hasNext()) {
|
---|
638 | ++iObs;
|
---|
639 | itGPS.next();
|
---|
640 | QString prn = itGPS.key();
|
---|
641 | t_satData* satData = itGPS.value();
|
---|
642 |
|
---|
643 | ll(iObs) = satData->P3 - cmpValue(satData, false);
|
---|
644 | PP(iObs,iObs) = 1.0 / (sig_P3 * sig_P3);
|
---|
645 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
646 | AA(iObs, iPar) = _params[iPar-1]->partial(satData, false);
|
---|
647 | }
|
---|
648 |
|
---|
649 | if (_usePhase) {
|
---|
650 | ++iObs;
|
---|
651 | ll(iObs) = satData->L3 - cmpValue(satData, true);
|
---|
652 | PP(iObs,iObs) = 1.0 / (sig_L3_GPS * sig_L3_GPS);
|
---|
653 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
654 | if (_params[iPar-1]->type == bncParam::AMB_L3 &&
|
---|
655 | _params[iPar-1]->prn == prn) {
|
---|
656 | ll(iObs) -= _params[iPar-1]->xx;
|
---|
657 | }
|
---|
658 | AA(iObs, iPar) = _params[iPar-1]->partial(satData, true);
|
---|
659 | }
|
---|
660 | }
|
---|
661 | }
|
---|
662 |
|
---|
663 | // Glonass phase observations
|
---|
664 | // --------------------------
|
---|
665 | if (_usePhase) {
|
---|
666 | QMapIterator<QString, t_satData*> itGlo(epoData->satDataGlo);
|
---|
667 | while (itGlo.hasNext()) {
|
---|
668 | ++iObs;
|
---|
669 | itGlo.next();
|
---|
670 | QString prn = itGlo.key();
|
---|
671 | t_satData* satData = itGlo.value();
|
---|
672 |
|
---|
673 | ll(iObs) = satData->L3 - cmpValue(satData, true);
|
---|
674 | PP(iObs,iObs) = 1.0 / (sig_L3_GLO * sig_L3_GLO);
|
---|
675 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
676 | if (_params[iPar-1]->type == bncParam::AMB_L3 &&
|
---|
677 | _params[iPar-1]->prn == prn) {
|
---|
678 | ll(iObs) -= _params[iPar-1]->xx;
|
---|
679 | }
|
---|
680 | AA(iObs, iPar) = _params[iPar-1]->partial(satData, true);
|
---|
681 | }
|
---|
682 | }
|
---|
683 | }
|
---|
684 |
|
---|
685 | // Compute Filter Update
|
---|
686 | // ---------------------
|
---|
687 | QQsav = _QQ;
|
---|
688 |
|
---|
689 | kalman(AA, ll, PP, _QQ, dx);
|
---|
690 |
|
---|
691 | vv = ll - AA * dx;
|
---|
692 |
|
---|
693 | ostringstream strA;
|
---|
694 | strA.setf(ios::fixed);
|
---|
695 | ColumnVector vv_code(epoData->sizeGPS());
|
---|
696 | ColumnVector vv_phase(epoData->sizeGPS());
|
---|
697 | ColumnVector vv_glo(epoData->sizeGlo());
|
---|
698 |
|
---|
699 | for (unsigned iobs = 1; iobs <= epoData->sizeGPS(); ++iobs) {
|
---|
700 | if (_usePhase) {
|
---|
701 | vv_code(iobs) = vv(2*iobs-1);
|
---|
702 | vv_phase(iobs) = vv(2*iobs);
|
---|
703 | }
|
---|
704 | else {
|
---|
705 | vv_code(iobs) = vv(iobs);
|
---|
706 | }
|
---|
707 | }
|
---|
708 | if (_useGlonass) {
|
---|
709 | for (unsigned iobs = 1; iobs <= epoData->sizeGlo(); ++iobs) {
|
---|
710 | vv_glo(iobs) = vv(2*epoData->sizeGPS()+iobs);
|
---|
711 | }
|
---|
712 | }
|
---|
713 |
|
---|
714 | strA << "residuals code " << setw(8) << setprecision(3) << vv_code.t();
|
---|
715 | if (_usePhase) {
|
---|
716 | strA << "residuals phase " << setw(8) << setprecision(3) << vv_phase.t();
|
---|
717 | }
|
---|
718 | if (_useGlonass) {
|
---|
719 | strA << "residuals glo " << setw(8) << setprecision(3) << vv_glo.t();
|
---|
720 | }
|
---|
721 | _log += strA.str().c_str();
|
---|
722 |
|
---|
723 | } while (outlierDetection(QQsav, vv, epoData->satDataGPS,
|
---|
724 | epoData->satDataGlo) != 0);
|
---|
725 |
|
---|
726 | // Remember the Epoch-specific Results for the computation of means
|
---|
727 | // ----------------------------------------------------------------
|
---|
728 | pppPos* newPos = new pppPos;
|
---|
729 | newPos->time = epoData->tt;
|
---|
730 |
|
---|
731 | // Set Solution Vector
|
---|
732 | // -------------------
|
---|
733 | ostringstream strB;
|
---|
734 | strB.setf(ios::fixed);
|
---|
735 | QVectorIterator<bncParam*> itPar(_params);
|
---|
736 | while (itPar.hasNext()) {
|
---|
737 | bncParam* par = itPar.next();
|
---|
738 | par->xx += dx(par->index);
|
---|
739 |
|
---|
740 | if (par->type == bncParam::RECCLK) {
|
---|
741 | strB << "\n clk = " << setw(6) << setprecision(3) << par->xx
|
---|
742 | << " +- " << setw(6) << setprecision(3)
|
---|
743 | << sqrt(_QQ(par->index,par->index));
|
---|
744 | }
|
---|
745 | else if (par->type == bncParam::AMB_L3) {
|
---|
746 | strB << "\n amb " << par->prn.toAscii().data() << " = "
|
---|
747 | << setw(6) << setprecision(3) << par->xx
|
---|
748 | << " +- " << setw(6) << setprecision(3)
|
---|
749 | << sqrt(_QQ(par->index,par->index));
|
---|
750 | }
|
---|
751 | else if (par->type == bncParam::TROPO) {
|
---|
752 | double aprTrp = delay_saast(M_PI/2.0);
|
---|
753 | strB << "\n trp = " << par->prn.toAscii().data()
|
---|
754 | << setw(7) << setprecision(3) << aprTrp << " "
|
---|
755 | << setw(6) << setprecision(3) << showpos << par->xx << noshowpos
|
---|
756 | << " +- " << setw(6) << setprecision(3)
|
---|
757 | << sqrt(_QQ(par->index,par->index));
|
---|
758 | newPos->xnt[6] = aprTrp + par->xx;
|
---|
759 | }
|
---|
760 | }
|
---|
761 | strB << '\n';
|
---|
762 | _log += strB.str().c_str();
|
---|
763 | emit newMessage(_log, false);
|
---|
764 |
|
---|
765 | // Final Message (both log file and screen)
|
---|
766 | // ----------------------------------------
|
---|
767 | ostringstream strC;
|
---|
768 | strC.setf(ios::fixed);
|
---|
769 | strC << _staID.data() << " PPP "
|
---|
770 | << epoData->tt.timestr(1) << " " << epoData->sizeAll() << " "
|
---|
771 | << setw(14) << setprecision(3) << x() << " +- "
|
---|
772 | << setw(6) << setprecision(3) << sqrt(_QQ(1,1)) << " "
|
---|
773 | << setw(14) << setprecision(3) << y() << " +- "
|
---|
774 | << setw(6) << setprecision(3) << sqrt(_QQ(2,2)) << " "
|
---|
775 | << setw(14) << setprecision(3) << z() << " +- "
|
---|
776 | << setw(6) << setprecision(3) << sqrt(_QQ(3,3));
|
---|
777 |
|
---|
778 | // NEU Output
|
---|
779 | // ----------
|
---|
780 | if (settings.value("pppOrigin").toString() == "Plot - X Y Z" ||
|
---|
781 | settings.value("pppOrigin").toString() == "QuickStart - Static") {
|
---|
782 |
|
---|
783 | double xyzRef[3];
|
---|
784 | xyzRef[0] = settings.value("pppRefCrdX").toDouble();
|
---|
785 | xyzRef[1] = settings.value("pppRefCrdY").toDouble();
|
---|
786 | xyzRef[2] = settings.value("pppRefCrdZ").toDouble();
|
---|
787 |
|
---|
788 | newPos->xnt[0] = x() - xyzRef[0];
|
---|
789 | newPos->xnt[1] = y() - xyzRef[1];
|
---|
790 | newPos->xnt[2] = z() - xyzRef[2];
|
---|
791 |
|
---|
792 | double ellRef[3];
|
---|
793 | xyz2ell(xyzRef, ellRef);
|
---|
794 | xyz2neu(ellRef, newPos->xnt, &newPos->xnt[3]);
|
---|
795 |
|
---|
796 | strC << " NEU "
|
---|
797 | << setw(8) << setprecision(3) << newPos->xnt[3] << " "
|
---|
798 | << setw(8) << setprecision(3) << newPos->xnt[4] << " "
|
---|
799 | << setw(8) << setprecision(3) << newPos->xnt[5];
|
---|
800 |
|
---|
801 | }
|
---|
802 |
|
---|
803 | emit newMessage(QByteArray(strC.str().c_str()), true);
|
---|
804 |
|
---|
805 | if (settings.value("pppAverage").toString() == "") {
|
---|
806 | delete newPos;
|
---|
807 | }
|
---|
808 | else {
|
---|
809 |
|
---|
810 | _posAverage.push_back(newPos);
|
---|
811 |
|
---|
812 | // Time Span for Average Computation
|
---|
813 | // ---------------------------------
|
---|
814 | double tRangeAverage = settings.value("pppAverage").toDouble() * 60.;
|
---|
815 | if (tRangeAverage < 0) {
|
---|
816 | tRangeAverage = 0;
|
---|
817 | }
|
---|
818 | if (tRangeAverage > 86400) {
|
---|
819 | tRangeAverage = 86400;
|
---|
820 | }
|
---|
821 |
|
---|
822 | // Compute the Mean
|
---|
823 | // ----------------
|
---|
824 | ColumnVector mean(7); mean = 0.0;
|
---|
825 |
|
---|
826 | QMutableVectorIterator<pppPos*> it(_posAverage);
|
---|
827 | while (it.hasNext()) {
|
---|
828 | pppPos* pp = it.next();
|
---|
829 | if ( (epoData->tt - pp->time) >= tRangeAverage ) {
|
---|
830 | delete pp;
|
---|
831 | it.remove();
|
---|
832 | }
|
---|
833 | else {
|
---|
834 | for (int ii = 0; ii < 7; ++ii) {
|
---|
835 | mean[ii] += pp->xnt[ii];
|
---|
836 | }
|
---|
837 | }
|
---|
838 | }
|
---|
839 |
|
---|
840 | int nn = _posAverage.size();
|
---|
841 |
|
---|
842 | if (nn > 0) {
|
---|
843 |
|
---|
844 | mean /= nn;
|
---|
845 |
|
---|
846 | // Compute the Deviation
|
---|
847 | // ---------------------
|
---|
848 | ColumnVector std(7); std = 0.0;
|
---|
849 | QVectorIterator<pppPos*> it2(_posAverage);
|
---|
850 | while (it2.hasNext()) {
|
---|
851 | pppPos* pp = it2.next();
|
---|
852 | for (int ii = 0; ii < 7; ++ii) {
|
---|
853 | std[ii] += (pp->xnt[ii] - mean[ii]) * (pp->xnt[ii] - mean[ii]);
|
---|
854 | }
|
---|
855 | }
|
---|
856 | for (int ii = 0; ii < 7; ++ii) {
|
---|
857 | std[ii] = sqrt(std[ii] / nn);
|
---|
858 | }
|
---|
859 |
|
---|
860 | ostringstream strD; strD.setf(ios::fixed);
|
---|
861 | strD << _staID.data() << " AVE-XYZ "
|
---|
862 | << epoData->tt.timestr(1) << " "
|
---|
863 | << setw(13) << setprecision(3) << mean[0] << " +- "
|
---|
864 | << setw(6) << setprecision(3) << std[0] << " "
|
---|
865 | << setw(14) << setprecision(3) << mean[1] << " +- "
|
---|
866 | << setw(6) << setprecision(3) << std[1] << " "
|
---|
867 | << setw(14) << setprecision(3) << mean[2] << " +- "
|
---|
868 | << setw(6) << setprecision(3) << std[2];
|
---|
869 | emit newMessage(QByteArray(strD.str().c_str()), true);
|
---|
870 |
|
---|
871 | ostringstream strE; strE.setf(ios::fixed);
|
---|
872 | strE << _staID.data() << " AVE-NEU "
|
---|
873 | << epoData->tt.timestr(1) << " "
|
---|
874 | << setw(13) << setprecision(3) << mean[3] << " +- "
|
---|
875 | << setw(6) << setprecision(3) << std[3] << " "
|
---|
876 | << setw(14) << setprecision(3) << mean[4] << " +- "
|
---|
877 | << setw(6) << setprecision(3) << std[4] << " "
|
---|
878 | << setw(14) << setprecision(3) << mean[5] << " +- "
|
---|
879 | << setw(6) << setprecision(3) << std[5];
|
---|
880 |
|
---|
881 | emit newMessage(QByteArray(strE.str().c_str()), true);
|
---|
882 |
|
---|
883 | ostringstream strF; strF.setf(ios::fixed);
|
---|
884 | strF << _staID.data() << " AVE-TRP "
|
---|
885 | << epoData->tt.timestr(1) << " "
|
---|
886 | << setw(13) << setprecision(3) << mean[6] << " +- "
|
---|
887 | << setw(6) << setprecision(3) << std[6] << endl;
|
---|
888 |
|
---|
889 | emit newMessage(QByteArray(strF.str().c_str()), true);
|
---|
890 | }
|
---|
891 | }
|
---|
892 |
|
---|
893 | // NMEA Output
|
---|
894 | // -----------
|
---|
895 | double xyz[3];
|
---|
896 | xyz[0] = x();
|
---|
897 | xyz[1] = y();
|
---|
898 | xyz[2] = z();
|
---|
899 | double ell[3];
|
---|
900 | xyz2ell(xyz, ell);
|
---|
901 | double phiDeg = ell[0] * 180 / M_PI;
|
---|
902 | double lamDeg = ell[1] * 180 / M_PI;
|
---|
903 |
|
---|
904 | char phiCh = 'N';
|
---|
905 | if (phiDeg < 0) {
|
---|
906 | phiDeg = -phiDeg;
|
---|
907 | phiCh = 'S';
|
---|
908 | }
|
---|
909 | char lamCh = 'E';
|
---|
910 | if (lamDeg < 0) {
|
---|
911 | lamDeg = -lamDeg;
|
---|
912 | lamCh = 'W';
|
---|
913 | }
|
---|
914 |
|
---|
915 | string datestr = epoData->tt.datestr(0); // yyyymmdd
|
---|
916 | ostringstream strRMC;
|
---|
917 | strRMC.setf(ios::fixed);
|
---|
918 | strRMC << "GPRMC,"
|
---|
919 | << epoData->tt.timestr(0,0) << ",A,"
|
---|
920 | << setw(2) << setfill('0') << int(phiDeg)
|
---|
921 | << setw(6) << setprecision(3) << setfill('0')
|
---|
922 | << fmod(60*phiDeg,60) << ',' << phiCh << ','
|
---|
923 | << setw(3) << setfill('0') << int(lamDeg)
|
---|
924 | << setw(6) << setprecision(3) << setfill('0')
|
---|
925 | << fmod(60*lamDeg,60) << ',' << lamCh << ",,,"
|
---|
926 | << datestr[6] << datestr[7] << datestr[4] << datestr[5]
|
---|
927 | << datestr[2] << datestr[3] << ",,";
|
---|
928 |
|
---|
929 | writeNMEAstr(QString(strRMC.str().c_str()));
|
---|
930 |
|
---|
931 | double dop = 2.0; // TODO
|
---|
932 |
|
---|
933 | ostringstream strGGA;
|
---|
934 | strGGA.setf(ios::fixed);
|
---|
935 | strGGA << "GPGGA,"
|
---|
936 | << epoData->tt.timestr(0,0) << ','
|
---|
937 | << setw(2) << setfill('0') << int(phiDeg)
|
---|
938 | << setw(10) << setprecision(7) << setfill('0')
|
---|
939 | << fmod(60*phiDeg,60) << ',' << phiCh << ','
|
---|
940 | << setw(3) << setfill('0') << int(lamDeg)
|
---|
941 | << setw(10) << setprecision(7) << setfill('0')
|
---|
942 | << fmod(60*lamDeg,60) << ',' << lamCh
|
---|
943 | << ",1," << setw(2) << setfill('0') << epoData->sizeAll() << ','
|
---|
944 | << setw(3) << setprecision(1) << dop << ','
|
---|
945 | << setprecision(3) << ell[2] << ",M,0.0,M,,";
|
---|
946 |
|
---|
947 | writeNMEAstr(QString(strGGA.str().c_str()));
|
---|
948 |
|
---|
949 | return success;
|
---|
950 | }
|
---|
951 |
|
---|
952 | // Outlier Detection
|
---|
953 | ////////////////////////////////////////////////////////////////////////////
|
---|
954 | int bncModel::outlierDetection(const SymmetricMatrix& QQsav,
|
---|
955 | const ColumnVector& vv,
|
---|
956 | QMap<QString, t_satData*>& satDataGPS,
|
---|
957 | QMap<QString, t_satData*>& satDataGlo) {
|
---|
958 |
|
---|
959 | double vvMaxCodeGPS = 0.0;
|
---|
960 | double vvMaxPhaseGPS = 0.0;
|
---|
961 | double vvMaxPhaseGlo = 0.0;
|
---|
962 | QMutableMapIterator<QString, t_satData*> itMaxCodeGPS(satDataGPS);
|
---|
963 | QMutableMapIterator<QString, t_satData*> itMaxPhaseGPS(satDataGPS);
|
---|
964 | QMutableMapIterator<QString, t_satData*> itMaxPhaseGlo(satDataGlo);
|
---|
965 |
|
---|
966 | int ii = 0;
|
---|
967 |
|
---|
968 | // GPS code and (optionally) phase residuals
|
---|
969 | // -----------------------------------------
|
---|
970 | QMutableMapIterator<QString, t_satData*> itGPS(satDataGPS);
|
---|
971 | while (itGPS.hasNext()) {
|
---|
972 | itGPS.next();
|
---|
973 | ++ii;
|
---|
974 |
|
---|
975 | if (vvMaxCodeGPS == 0.0 || fabs(vv(ii)) > vvMaxCodeGPS) {
|
---|
976 | vvMaxCodeGPS = fabs(vv(ii));
|
---|
977 | itMaxCodeGPS = itGPS;
|
---|
978 | }
|
---|
979 |
|
---|
980 | if (_usePhase) {
|
---|
981 | ++ii;
|
---|
982 | if (vvMaxPhaseGPS == 0.0 || fabs(vv(ii)) > vvMaxPhaseGPS) {
|
---|
983 | vvMaxPhaseGPS = fabs(vv(ii));
|
---|
984 | itMaxPhaseGPS = itGPS;
|
---|
985 | }
|
---|
986 | }
|
---|
987 | }
|
---|
988 |
|
---|
989 | // Glonass phase residuals
|
---|
990 | // -----------------------
|
---|
991 | if (_usePhase) {
|
---|
992 | QMutableMapIterator<QString, t_satData*> itGlo(satDataGlo);
|
---|
993 | while (itGlo.hasNext()) {
|
---|
994 | itGlo.next();
|
---|
995 | ++ii;
|
---|
996 | if (vvMaxPhaseGlo == 0.0 || fabs(vv(ii)) > vvMaxPhaseGlo) {
|
---|
997 | vvMaxPhaseGlo = fabs(vv(ii));
|
---|
998 | itMaxPhaseGlo = itGlo;
|
---|
999 | }
|
---|
1000 | }
|
---|
1001 | }
|
---|
1002 |
|
---|
1003 | if (vvMaxPhaseGlo > MAXRES_PHASE_GLO) {
|
---|
1004 | QString prn = itMaxPhaseGlo.key();
|
---|
1005 | t_satData* satData = itMaxPhaseGlo.value();
|
---|
1006 | delete satData;
|
---|
1007 | itMaxPhaseGlo.remove();
|
---|
1008 | _QQ = QQsav;
|
---|
1009 |
|
---|
1010 | _log += "Outlier Phase " + prn.toAscii() + " "
|
---|
1011 | + QByteArray::number(vvMaxPhaseGlo, 'f', 3) + "\n";
|
---|
1012 |
|
---|
1013 | return 1;
|
---|
1014 | }
|
---|
1015 |
|
---|
1016 | else if (vvMaxCodeGPS > MAXRES_CODE_GPS) {
|
---|
1017 | QString prn = itMaxCodeGPS.key();
|
---|
1018 | t_satData* satData = itMaxCodeGPS.value();
|
---|
1019 | delete satData;
|
---|
1020 | itMaxCodeGPS.remove();
|
---|
1021 | _QQ = QQsav;
|
---|
1022 |
|
---|
1023 | _log += "Outlier Code " + prn.toAscii() + " "
|
---|
1024 | + QByteArray::number(vvMaxCodeGPS, 'f', 3) + "\n";
|
---|
1025 |
|
---|
1026 | return 1;
|
---|
1027 | }
|
---|
1028 | else if (vvMaxPhaseGPS > MAXRES_PHASE_GPS) {
|
---|
1029 | QString prn = itMaxPhaseGPS.key();
|
---|
1030 | t_satData* satData = itMaxPhaseGPS.value();
|
---|
1031 | delete satData;
|
---|
1032 | itMaxPhaseGPS.remove();
|
---|
1033 | _QQ = QQsav;
|
---|
1034 |
|
---|
1035 | _log += "Outlier Phase " + prn.toAscii() + " "
|
---|
1036 | + QByteArray::number(vvMaxPhaseGPS, 'f', 3) + "\n";
|
---|
1037 |
|
---|
1038 | return 1;
|
---|
1039 | }
|
---|
1040 |
|
---|
1041 | return 0;
|
---|
1042 | }
|
---|
1043 |
|
---|
1044 | //
|
---|
1045 | ////////////////////////////////////////////////////////////////////////////
|
---|
1046 | void bncModel::writeNMEAstr(const QString& nmStr) {
|
---|
1047 |
|
---|
1048 | unsigned char XOR = 0;
|
---|
1049 | for (int ii = 0; ii < nmStr.length(); ii++) {
|
---|
1050 | XOR ^= (unsigned char) nmStr[ii].toAscii();
|
---|
1051 | }
|
---|
1052 |
|
---|
1053 | QString outStr = '$' + nmStr
|
---|
1054 | + QString("*%1\n").arg(int(XOR), 0, 16).toUpper();
|
---|
1055 |
|
---|
1056 | if (_nmeaStream) {
|
---|
1057 | *_nmeaStream << outStr;
|
---|
1058 | _nmeaStream->flush();
|
---|
1059 | }
|
---|
1060 |
|
---|
1061 | emit newNMEAstr(outStr.toAscii());
|
---|
1062 | }
|
---|
1063 |
|
---|
1064 | ////
|
---|
1065 | //////////////////////////////////////////////////////////////////////////////
|
---|
1066 | void bncModel::kalman(const Matrix& AA, const ColumnVector& ll,
|
---|
1067 | const DiagonalMatrix& PP,
|
---|
1068 | SymmetricMatrix& QQ, ColumnVector& dx) {
|
---|
1069 |
|
---|
1070 | int nObs = AA.Nrows();
|
---|
1071 | int nPar = AA.Ncols();
|
---|
1072 |
|
---|
1073 | UpperTriangularMatrix SS = Cholesky(QQ).t();
|
---|
1074 |
|
---|
1075 | Matrix SA = SS*AA.t();
|
---|
1076 | Matrix SRF(nObs+nPar, nObs+nPar); SRF = 0;
|
---|
1077 | for (int ii = 1; ii <= nObs; ++ii) {
|
---|
1078 | SRF(ii,ii) = 1.0 / sqrt(PP(ii,ii));
|
---|
1079 | }
|
---|
1080 |
|
---|
1081 | SRF.SubMatrix (nObs+1, nObs+nPar, 1, nObs) = SA;
|
---|
1082 | SRF.SymSubMatrix(nObs+1, nObs+nPar) = SS;
|
---|
1083 |
|
---|
1084 | UpperTriangularMatrix UU;
|
---|
1085 | QRZ(SRF, UU);
|
---|
1086 |
|
---|
1087 | SS = UU.SymSubMatrix(nObs+1, nObs+nPar);
|
---|
1088 | UpperTriangularMatrix SH_rt = UU.SymSubMatrix(1, nObs);
|
---|
1089 | Matrix YY = UU.SubMatrix(1, nObs, nObs+1, nObs+nPar);
|
---|
1090 |
|
---|
1091 | UpperTriangularMatrix SHi = SH_rt.i();
|
---|
1092 |
|
---|
1093 | Matrix KT = SHi * YY;
|
---|
1094 | SymmetricMatrix Hi; Hi << SHi * SHi.t();
|
---|
1095 |
|
---|
1096 | dx = KT.t() * ll;
|
---|
1097 | QQ << (SS.t() * SS);
|
---|
1098 | }
|
---|
1099 |
|
---|
1100 | // Phase Wind-Up Correction
|
---|
1101 | ///////////////////////////////////////////////////////////////////////////
|
---|
1102 | double bncModel::windUp(const QString& prn, const ColumnVector& rSat,
|
---|
1103 | const ColumnVector& rRec) {
|
---|
1104 |
|
---|
1105 | double Mjd = _time.mjd() + _time.daysec() / 86400.0;
|
---|
1106 |
|
---|
1107 | // First time - initialize to zero
|
---|
1108 | // -------------------------------
|
---|
1109 | if (!_windUpTime.contains(prn)) {
|
---|
1110 | _windUpTime[prn] = Mjd;
|
---|
1111 | _windUpSum[prn] = 0.0;
|
---|
1112 | }
|
---|
1113 |
|
---|
1114 | // Compute the correction for new time
|
---|
1115 | // -----------------------------------
|
---|
1116 | else if (_windUpTime[prn] != Mjd) {
|
---|
1117 | _windUpTime[prn] = Mjd;
|
---|
1118 |
|
---|
1119 | // Unit Vector GPS Satellite --> Receiver
|
---|
1120 | // --------------------------------------
|
---|
1121 | ColumnVector rho = rRec - rSat;
|
---|
1122 | rho /= rho.norm_Frobenius();
|
---|
1123 |
|
---|
1124 | // GPS Satellite unit Vectors sz, sy, sx
|
---|
1125 | // -------------------------------------
|
---|
1126 | ColumnVector sz = -rSat / rSat.norm_Frobenius();
|
---|
1127 |
|
---|
1128 | ColumnVector xSun = Sun(Mjd);
|
---|
1129 | xSun /= xSun.norm_Frobenius();
|
---|
1130 |
|
---|
1131 | ColumnVector sy = crossproduct(sz, xSun);
|
---|
1132 | ColumnVector sx = crossproduct(sy, sz);
|
---|
1133 |
|
---|
1134 | // Effective Dipole of the GPS Satellite Antenna
|
---|
1135 | // ---------------------------------------------
|
---|
1136 | ColumnVector dipSat = sx - rho * DotProduct(rho,sx)
|
---|
1137 | - crossproduct(rho, sy);
|
---|
1138 |
|
---|
1139 | // Receiver unit Vectors rx, ry
|
---|
1140 | // ----------------------------
|
---|
1141 | ColumnVector rx(3);
|
---|
1142 | ColumnVector ry(3);
|
---|
1143 |
|
---|
1144 | double recEll[3]; xyz2ell(rRec.data(), recEll) ;
|
---|
1145 | double neu[3];
|
---|
1146 |
|
---|
1147 | neu[0] = 1.0;
|
---|
1148 | neu[1] = 0.0;
|
---|
1149 | neu[2] = 0.0;
|
---|
1150 | neu2xyz(recEll, neu, rx.data());
|
---|
1151 |
|
---|
1152 | neu[0] = 0.0;
|
---|
1153 | neu[1] = -1.0;
|
---|
1154 | neu[2] = 0.0;
|
---|
1155 | neu2xyz(recEll, neu, ry.data());
|
---|
1156 |
|
---|
1157 | // Effective Dipole of the Receiver Antenna
|
---|
1158 | // ----------------------------------------
|
---|
1159 | ColumnVector dipRec = rx - rho * DotProduct(rho,rx)
|
---|
1160 | + crossproduct(rho, ry);
|
---|
1161 |
|
---|
1162 | // Resulting Effect
|
---|
1163 | // ----------------
|
---|
1164 | double alpha = DotProduct(dipSat,dipRec) /
|
---|
1165 | (dipSat.norm_Frobenius() * dipRec.norm_Frobenius());
|
---|
1166 |
|
---|
1167 | if (alpha > 1.0) alpha = 1.0;
|
---|
1168 | if (alpha < -1.0) alpha = -1.0;
|
---|
1169 |
|
---|
1170 | double dphi = acos(alpha) / 2.0 / M_PI; // in cycles
|
---|
1171 |
|
---|
1172 | if ( DotProduct(rho, crossproduct(dipSat, dipRec)) < 0.0 ) {
|
---|
1173 | dphi = -dphi;
|
---|
1174 | }
|
---|
1175 |
|
---|
1176 | _windUpSum[prn] = floor(_windUpSum[prn] - dphi + 0.5) + dphi;
|
---|
1177 | }
|
---|
1178 |
|
---|
1179 | return _windUpSum[prn];
|
---|
1180 | }
|
---|