[7235] | 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: t_pppParam, t_pppFilter
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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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[7287] | 37 | * Changes:
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[7235] | 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 <sstream>
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| 44 | #include <newmatio.h>
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| 45 | #include <newmatap.h>
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| 46 |
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| 47 | #include "pppFilter.h"
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| 48 | #include "pppClient.h"
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| 49 | #include "bncutils.h"
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| 50 | #include "bncantex.h"
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| 51 | #include "pppOptions.h"
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| 52 | #include "pppModel.h"
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| 53 |
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| 54 | using namespace BNC_PPP;
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| 55 | using namespace std;
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| 56 |
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| 57 | const double MAXRES_CODE = 2.98 * 3.0;
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[7959] | 58 | const double MAXRES_PHASE_GPS = 0.04;
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[7235] | 59 | const double MAXRES_PHASE_GLONASS = 2.98 * 0.03;
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[7952] | 60 | const double GLONASS_WEIGHT_FACTOR = 5.0;
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[7235] | 61 | const double BDS_WEIGHT_FACTOR = 2.0;
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| 62 |
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| 63 | #define LOG (_pppClient->log())
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| 64 | #define OPT (_pppClient->opt())
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| 65 |
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| 66 | // Constructor
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| 67 | ////////////////////////////////////////////////////////////////////////////
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[7287] | 68 | t_pppParam::t_pppParam(t_pppParam::parType typeIn, int indexIn,
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[7235] | 69 | const QString& prnIn) {
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| 70 | type = typeIn;
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| 71 | index = indexIn;
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| 72 | prn = prnIn;
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| 73 | index_old = 0;
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| 74 | xx = 0.0;
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| 75 | numEpo = 0;
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| 76 | }
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| 77 |
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| 78 | // Destructor
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| 79 | ////////////////////////////////////////////////////////////////////////////
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| 80 | t_pppParam::~t_pppParam() {
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| 81 | }
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| 82 |
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| 83 | // Partial
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| 84 | ////////////////////////////////////////////////////////////////////////////
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| 85 | double t_pppParam::partial(t_satData* satData, bool phase) {
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| 86 |
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| 87 | Tracer tracer("t_pppParam::partial");
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| 88 |
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| 89 | // Coordinates
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| 90 | // -----------
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| 91 | if (type == CRD_X) {
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[7287] | 92 | return (xx - satData->xx(1)) / satData->rho;
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[7235] | 93 | }
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| 94 | else if (type == CRD_Y) {
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[7287] | 95 | return (xx - satData->xx(2)) / satData->rho;
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[7235] | 96 | }
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| 97 | else if (type == CRD_Z) {
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[7287] | 98 | return (xx - satData->xx(3)) / satData->rho;
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[7235] | 99 | }
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| 100 |
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| 101 | // Receiver Clocks
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| 102 | // ---------------
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| 103 | else if (type == RECCLK) {
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| 104 | return 1.0;
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| 105 | }
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| 106 |
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| 107 | // Troposphere
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| 108 | // -----------
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| 109 | else if (type == TROPO) {
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[7287] | 110 | return 1.0 / sin(satData->eleSat);
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[7235] | 111 | }
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| 112 |
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| 113 | // Glonass Offset
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| 114 | // --------------
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| 115 | else if (type == GLONASS_OFFSET) {
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| 116 | if (satData->prn[0] == 'R') {
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| 117 | return 1.0;
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| 118 | }
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| 119 | else {
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| 120 | return 0.0;
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| 121 | }
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| 122 | }
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| 123 |
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| 124 | // Galileo Offset
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| 125 | // --------------
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| 126 | else if (type == GALILEO_OFFSET) {
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| 127 | if (satData->prn[0] == 'E') {
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| 128 | return 1.0;
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| 129 | }
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| 130 | else {
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| 131 | return 0.0;
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| 132 | }
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| 133 | }
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| 134 |
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| 135 | // BDS Offset
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| 136 | // ----------
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| 137 | else if (type == BDS_OFFSET) {
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| 138 | if (satData->prn[0] == 'C') {
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| 139 | return 1.0;
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| 140 | }
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| 141 | else {
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| 142 | return 0.0;
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| 143 | }
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| 144 | }
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| 145 |
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| 146 | // Ambiguities
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| 147 | // -----------
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| 148 | else if (type == AMB_L3) {
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| 149 | if (phase && satData->prn == prn) {
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| 150 | return 1.0;
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| 151 | }
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| 152 | else {
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| 153 | return 0.0;
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| 154 | }
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| 155 | }
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| 156 |
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| 157 | // Default return
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| 158 | // --------------
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| 159 | return 0.0;
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| 160 | }
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| 161 |
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| 162 | // Constructor
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| 163 | ////////////////////////////////////////////////////////////////////////////
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| 164 | t_pppFilter::t_pppFilter(t_pppClient* pppClient) {
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| 165 |
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| 166 | _pppClient = pppClient;
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| 167 | _tides = new t_tides();
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| 168 |
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| 169 | // Antenna Name, ANTEX File
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| 170 | // ------------------------
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| 171 | _antex = 0;
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| 172 | if (!OPT->_antexFileName.empty()) {
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| 173 | _antex = new bncAntex(OPT->_antexFileName.c_str());
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| 174 | }
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| 175 |
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| 176 | // Bancroft Coordinates
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| 177 | // --------------------
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| 178 | _xcBanc.ReSize(4); _xcBanc = 0.0;
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| 179 | _ellBanc.ReSize(3); _ellBanc = 0.0;
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| 180 |
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| 181 | // Save copy of data (used in outlier detection)
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| 182 | // ---------------------------------------------
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| 183 | _epoData_sav = new t_epoData();
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| 184 |
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| 185 | // Some statistics
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| 186 | // ---------------
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| 187 | _neu.ReSize(3); _neu = 0.0;
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| 188 | _numSat = 0;
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[7929] | 189 | _hDop = 0.0;
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[7235] | 190 | }
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| 191 |
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| 192 | // Destructor
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| 193 | ////////////////////////////////////////////////////////////////////////////
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| 194 | t_pppFilter::~t_pppFilter() {
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| 195 | delete _tides;
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| 196 | delete _antex;
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| 197 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
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| 198 | delete _params[iPar-1];
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| 199 | }
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| 200 | for (int iPar = 1; iPar <= _params_sav.size(); iPar++) {
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| 201 | delete _params_sav[iPar-1];
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| 202 | }
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| 203 | delete _epoData_sav;
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| 204 | }
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| 205 |
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| 206 | // Reset Parameters and Variance-Covariance Matrix
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| 207 | ////////////////////////////////////////////////////////////////////////////
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| 208 | void t_pppFilter::reset() {
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| 209 |
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| 210 | Tracer tracer("t_pppFilter::reset");
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| 211 |
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| 212 | double lastTrp = 0.0;
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| 213 | for (int ii = 0; ii < _params.size(); ii++) {
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| 214 | t_pppParam* pp = _params[ii];
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| 215 | if (pp->type == t_pppParam::TROPO) {
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| 216 | lastTrp = pp->xx;
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| 217 | }
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| 218 | delete pp;
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| 219 | }
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| 220 | _params.clear();
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| 221 |
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| 222 | int nextPar = 0;
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| 223 | _params.push_back(new t_pppParam(t_pppParam::CRD_X, ++nextPar, ""));
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| 224 | _params.push_back(new t_pppParam(t_pppParam::CRD_Y, ++nextPar, ""));
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| 225 | _params.push_back(new t_pppParam(t_pppParam::CRD_Z, ++nextPar, ""));
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| 226 | _params.push_back(new t_pppParam(t_pppParam::RECCLK, ++nextPar, ""));
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| 227 | if (OPT->estTrp()) {
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| 228 | _params.push_back(new t_pppParam(t_pppParam::TROPO, ++nextPar, ""));
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| 229 | }
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| 230 | if (OPT->useSystem('R')) {
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| 231 | _params.push_back(new t_pppParam(t_pppParam::GLONASS_OFFSET, ++nextPar, ""));
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| 232 | }
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| 233 | if (OPT->useSystem('E')) {
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| 234 | _params.push_back(new t_pppParam(t_pppParam::GALILEO_OFFSET, ++nextPar, ""));
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| 235 | }
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| 236 | if (OPT->useSystem('C')) {
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| 237 | _params.push_back(new t_pppParam(t_pppParam::BDS_OFFSET, ++nextPar, ""));
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| 238 | }
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| 239 |
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[7287] | 240 | _QQ.ReSize(_params.size());
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[7235] | 241 | _QQ = 0.0;
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| 242 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
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| 243 | t_pppParam* pp = _params[iPar-1];
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| 244 | pp->xx = 0.0;
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| 245 | if (pp->isCrd()) {
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[7287] | 246 | _QQ(iPar,iPar) = OPT->_aprSigCrd(1) * OPT->_aprSigCrd(1);
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[7235] | 247 | }
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| 248 | else if (pp->type == t_pppParam::RECCLK) {
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[7287] | 249 | _QQ(iPar,iPar) = OPT->_noiseClk * OPT->_noiseClk;
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[7235] | 250 | }
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| 251 | else if (pp->type == t_pppParam::TROPO) {
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[7287] | 252 | _QQ(iPar,iPar) = OPT->_aprSigTrp * OPT->_aprSigTrp;
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[7235] | 253 | pp->xx = lastTrp;
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| 254 | }
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| 255 | else if (pp->type == t_pppParam::GLONASS_OFFSET) {
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| 256 | _QQ(iPar,iPar) = 1000.0 * 1000.0;
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| 257 | }
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| 258 | else if (pp->type == t_pppParam::GALILEO_OFFSET) {
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| 259 | _QQ(iPar,iPar) = 1000.0 * 1000.0;
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| 260 | }
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| 261 | else if (pp->type == t_pppParam::BDS_OFFSET) {
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| 262 | _QQ(iPar,iPar) = 1000.0 * 1000.0;
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| 263 | }
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| 264 | }
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| 265 | }
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| 266 |
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| 267 | // Bancroft Solution
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| 268 | ////////////////////////////////////////////////////////////////////////////
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| 269 | t_irc t_pppFilter::cmpBancroft(t_epoData* epoData) {
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| 270 |
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| 271 | Tracer tracer("t_pppFilter::cmpBancroft");
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| 272 |
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| 273 | if (int(epoData->sizeSys('G')) < OPT->_minObs) {
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| 274 | LOG << "t_pppFilter::cmpBancroft: not enough data\n";
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| 275 | return failure;
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| 276 | }
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| 277 |
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| 278 | Matrix BB(epoData->sizeSys('G'), 4);
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| 279 |
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| 280 | QMapIterator<QString, t_satData*> it(epoData->satData);
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| 281 | int iObsBanc = 0;
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| 282 | while (it.hasNext()) {
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| 283 | it.next();
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| 284 | t_satData* satData = it.value();
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| 285 | if (satData->system() == 'G') {
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| 286 | ++iObsBanc;
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| 287 | QString prn = it.key();
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| 288 | BB(iObsBanc, 1) = satData->xx(1);
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| 289 | BB(iObsBanc, 2) = satData->xx(2);
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| 290 | BB(iObsBanc, 3) = satData->xx(3);
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| 291 | BB(iObsBanc, 4) = satData->P3 + satData->clk;
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| 292 | }
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| 293 | }
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| 294 |
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| 295 | bancroft(BB, _xcBanc);
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| 296 |
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[8253] | 297 | if (std::isnan(_xcBanc(1)) ||
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| 298 | std::isnan(_xcBanc(2)) ||
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| 299 | std::isnan(_xcBanc(3))) {
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[7852] | 300 | return failure;
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| 301 | }
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| 302 |
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[7235] | 303 | // Ellipsoidal Coordinates
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| 304 | // ------------------------
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| 305 | xyz2ell(_xcBanc.data(), _ellBanc.data());
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| 306 |
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| 307 | // Compute Satellite Elevations
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| 308 | // ----------------------------
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| 309 | QMutableMapIterator<QString, t_satData*> im(epoData->satData);
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| 310 | while (im.hasNext()) {
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| 311 | im.next();
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| 312 | t_satData* satData = im.value();
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| 313 | cmpEle(satData);
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| 314 | if (satData->eleSat < OPT->_minEle) {
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| 315 | delete satData;
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| 316 | im.remove();
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| 317 | }
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| 318 | }
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| 319 |
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| 320 | return success;
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| 321 | }
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| 322 |
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| 323 | // Computed Value
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| 324 | ////////////////////////////////////////////////////////////////////////////
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| 325 | double t_pppFilter::cmpValue(t_satData* satData, bool phase) {
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| 326 |
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| 327 | Tracer tracer("t_pppFilter::cmpValue");
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| 328 |
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| 329 | ColumnVector xRec(3);
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| 330 | xRec(1) = x();
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| 331 | xRec(2) = y();
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| 332 | xRec(3) = z();
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| 333 |
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[8901] | 334 | double rho0 = (satData->xx - xRec).NormFrobenius();
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[7287] | 335 | double dPhi = t_CST::omega * rho0 / t_CST::c;
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[7235] | 336 |
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[7287] | 337 | xRec(1) = x() * cos(dPhi) - y() * sin(dPhi);
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| 338 | xRec(2) = y() * cos(dPhi) + x() * sin(dPhi);
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[7235] | 339 | xRec(3) = z();
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| 340 |
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| 341 | xRec += _tides->displacement(_time, xRec);
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| 342 |
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[8901] | 343 | satData->rho = (satData->xx - xRec).NormFrobenius();
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[7235] | 344 |
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[7287] | 345 | double tropDelay = delay_saast(satData->eleSat) +
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[7235] | 346 | trp() / sin(satData->eleSat);
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| 347 |
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| 348 | double wind = 0.0;
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| 349 | if (phase) {
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| 350 | wind = windUp(satData->prn, satData->xx, xRec) * satData->lambda3;
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| 351 | }
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| 352 |
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| 353 | double offset = 0.0;
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| 354 | t_frequency::type frqA = t_frequency::G1;
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| 355 | t_frequency::type frqB = t_frequency::G2;
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| 356 | if (satData->prn[0] == 'R') {
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| 357 | offset = Glonass_offset();
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| 358 | frqA = t_frequency::R1;
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| 359 | frqB = t_frequency::R2;
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| 360 | }
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| 361 | else if (satData->prn[0] == 'E') {
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| 362 | offset = Galileo_offset();
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| 363 | //frqA = t_frequency::E1; as soon as available
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| 364 | //frqB = t_frequency::E5; -"-
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| 365 | }
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| 366 | else if (satData->prn[0] == 'C') {
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| 367 | offset = Bds_offset();
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| 368 | //frqA = t_frequency::C2; as soon as available
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| 369 | //frqB = t_frequency::C7; -"-
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| 370 | }
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| 371 | double phaseCenter = 0.0;
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[7287] | 372 | if (_antex) {
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[7235] | 373 | bool found;
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| 374 | phaseCenter = satData->lkA * _antex->rcvCorr(OPT->_antNameRover, frqA,
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| 375 | satData->eleSat, satData->azSat,
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| 376 | found)
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| 377 | + satData->lkB * _antex->rcvCorr(OPT->_antNameRover, frqB,
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| 378 | satData->eleSat, satData->azSat,
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| 379 | found);
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| 380 | if (!found) {
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| 381 | LOG << "ANTEX: antenna >" << OPT->_antNameRover << "< not found\n";
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| 382 | }
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| 383 | }
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| 384 |
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| 385 | double antennaOffset = 0.0;
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| 386 | double cosa = cos(satData->azSat);
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| 387 | double sina = sin(satData->azSat);
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| 388 | double cose = cos(satData->eleSat);
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| 389 | double sine = sin(satData->eleSat);
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[7287] | 390 | antennaOffset = -OPT->_neuEccRover(1) * cosa*cose
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| 391 | -OPT->_neuEccRover(2) * sina*cose
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[7235] | 392 | -OPT->_neuEccRover(3) * sine;
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| 393 |
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[7287] | 394 | return satData->rho + phaseCenter + antennaOffset + clk()
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[7235] | 395 | + offset - satData->clk + tropDelay + wind;
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| 396 | }
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| 397 |
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| 398 | // Tropospheric Model (Saastamoinen)
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| 399 | ////////////////////////////////////////////////////////////////////////////
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| 400 | double t_pppFilter::delay_saast(double Ele) {
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| 401 |
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| 402 | Tracer tracer("t_pppFilter::delay_saast");
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| 403 |
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[7287] | 404 | double xyz[3];
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[7235] | 405 | xyz[0] = x();
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| 406 | xyz[1] = y();
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| 407 | xyz[2] = z();
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[7287] | 408 | double ell[3];
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[7235] | 409 | xyz2ell(xyz, ell);
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| 410 | double height = ell[2];
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| 411 |
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| 412 | double pp = 1013.25 * pow(1.0 - 2.26e-5 * height, 5.225);
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| 413 | double TT = 18.0 - height * 0.0065 + 273.15;
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| 414 | double hh = 50.0 * exp(-6.396e-4 * height);
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| 415 | double ee = hh / 100.0 * exp(-37.2465 + 0.213166*TT - 0.000256908*TT*TT);
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| 416 |
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| 417 | double h_km = height / 1000.0;
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[7287] | 418 |
|
---|
[7235] | 419 | if (h_km < 0.0) h_km = 0.0;
|
---|
| 420 | if (h_km > 5.0) h_km = 5.0;
|
---|
| 421 | int ii = int(h_km + 1);
|
---|
| 422 | double href = ii - 1;
|
---|
[7287] | 423 |
|
---|
| 424 | double bCor[6];
|
---|
[7235] | 425 | bCor[0] = 1.156;
|
---|
| 426 | bCor[1] = 1.006;
|
---|
| 427 | bCor[2] = 0.874;
|
---|
| 428 | bCor[3] = 0.757;
|
---|
| 429 | bCor[4] = 0.654;
|
---|
| 430 | bCor[5] = 0.563;
|
---|
[7287] | 431 |
|
---|
[7235] | 432 | double BB = bCor[ii-1] + (bCor[ii]-bCor[ii-1]) * (h_km - href);
|
---|
[7287] | 433 |
|
---|
[7235] | 434 | double zen = M_PI/2.0 - Ele;
|
---|
| 435 |
|
---|
| 436 | return (0.002277/cos(zen)) * (pp + ((1255.0/TT)+0.05)*ee - BB*(tan(zen)*tan(zen)));
|
---|
| 437 | }
|
---|
| 438 |
|
---|
| 439 | // Prediction Step of the Filter
|
---|
| 440 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 441 | void t_pppFilter::predict(int iPhase, t_epoData* epoData) {
|
---|
| 442 |
|
---|
| 443 | Tracer tracer("t_pppFilter::predict");
|
---|
| 444 |
|
---|
| 445 | if (iPhase == 0) {
|
---|
| 446 |
|
---|
| 447 | const double maxSolGap = 60.0;
|
---|
| 448 |
|
---|
| 449 | bool firstCrd = false;
|
---|
| 450 | if (!_lastTimeOK.valid() || (maxSolGap > 0.0 && _time - _lastTimeOK > maxSolGap)) {
|
---|
| 451 | firstCrd = true;
|
---|
| 452 | _startTime = epoData->tt;
|
---|
| 453 | reset();
|
---|
| 454 | }
|
---|
[7287] | 455 |
|
---|
[7235] | 456 | // Use different white noise for Quick-Start mode
|
---|
| 457 | // ----------------------------------------------
|
---|
| 458 | double sigCrdP_used = OPT->_noiseCrd(1);
|
---|
| 459 | if ( OPT->_seedingTime > 0.0 && OPT->_seedingTime > (epoData->tt - _startTime) ) {
|
---|
| 460 | sigCrdP_used = 0.0;
|
---|
| 461 | }
|
---|
| 462 |
|
---|
| 463 | // Predict Parameter values, add white noise
|
---|
| 464 | // -----------------------------------------
|
---|
| 465 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
| 466 | t_pppParam* pp = _params[iPar-1];
|
---|
[7287] | 467 |
|
---|
[7235] | 468 | // Coordinates
|
---|
| 469 | // -----------
|
---|
| 470 | if (pp->type == t_pppParam::CRD_X) {
|
---|
| 471 | if (firstCrd) {
|
---|
| 472 | if (OPT->xyzAprRoverSet()) {
|
---|
| 473 | pp->xx = OPT->_xyzAprRover[0];
|
---|
| 474 | }
|
---|
| 475 | else {
|
---|
| 476 | pp->xx = _xcBanc(1);
|
---|
| 477 | }
|
---|
| 478 | }
|
---|
| 479 | _QQ(iPar,iPar) += sigCrdP_used * sigCrdP_used;
|
---|
| 480 | }
|
---|
| 481 | else if (pp->type == t_pppParam::CRD_Y) {
|
---|
| 482 | if (firstCrd) {
|
---|
| 483 | if (OPT->xyzAprRoverSet()) {
|
---|
| 484 | pp->xx = OPT->_xyzAprRover[1];
|
---|
| 485 | }
|
---|
| 486 | else {
|
---|
| 487 | pp->xx = _xcBanc(2);
|
---|
| 488 | }
|
---|
| 489 | }
|
---|
| 490 | _QQ(iPar,iPar) += sigCrdP_used * sigCrdP_used;
|
---|
| 491 | }
|
---|
| 492 | else if (pp->type == t_pppParam::CRD_Z) {
|
---|
| 493 | if (firstCrd) {
|
---|
| 494 | if (OPT->xyzAprRoverSet()) {
|
---|
| 495 | pp->xx = OPT->_xyzAprRover[2];
|
---|
| 496 | }
|
---|
| 497 | else {
|
---|
| 498 | pp->xx = _xcBanc(3);
|
---|
| 499 | }
|
---|
| 500 | }
|
---|
| 501 | _QQ(iPar,iPar) += sigCrdP_used * sigCrdP_used;
|
---|
[7287] | 502 | }
|
---|
| 503 |
|
---|
[7235] | 504 | // Receiver Clocks
|
---|
| 505 | // ---------------
|
---|
| 506 | else if (pp->type == t_pppParam::RECCLK) {
|
---|
| 507 | pp->xx = _xcBanc(4);
|
---|
| 508 | for (int jj = 1; jj <= _params.size(); jj++) {
|
---|
| 509 | _QQ(iPar, jj) = 0.0;
|
---|
| 510 | }
|
---|
| 511 | _QQ(iPar,iPar) = OPT->_noiseClk * OPT->_noiseClk;
|
---|
| 512 | }
|
---|
[7287] | 513 |
|
---|
[7235] | 514 | // Tropospheric Delay
|
---|
| 515 | // ------------------
|
---|
| 516 | else if (pp->type == t_pppParam::TROPO) {
|
---|
| 517 | _QQ(iPar,iPar) += OPT->_noiseTrp * OPT->_noiseTrp;
|
---|
| 518 | }
|
---|
[7287] | 519 |
|
---|
[7235] | 520 | // Glonass Offset
|
---|
| 521 | // --------------
|
---|
| 522 | else if (pp->type == t_pppParam::GLONASS_OFFSET) {
|
---|
| 523 | pp->xx = 0.0;
|
---|
| 524 | for (int jj = 1; jj <= _params.size(); jj++) {
|
---|
| 525 | _QQ(iPar, jj) = 0.0;
|
---|
| 526 | }
|
---|
| 527 | _QQ(iPar,iPar) = 1000.0 * 1000.0;
|
---|
| 528 | }
|
---|
| 529 |
|
---|
| 530 | // Galileo Offset
|
---|
| 531 | // --------------
|
---|
| 532 | else if (pp->type == t_pppParam::GALILEO_OFFSET) {
|
---|
| 533 | _QQ(iPar,iPar) += 0.1 * 0.1;
|
---|
| 534 | }
|
---|
| 535 |
|
---|
| 536 | // BDS Offset
|
---|
| 537 | // ----------
|
---|
| 538 | else if (pp->type == t_pppParam::BDS_OFFSET) {
|
---|
[7287] | 539 | _QQ(iPar,iPar) += 0.1 * 0.1; //TODO: TEST
|
---|
[7235] | 540 | }
|
---|
| 541 | }
|
---|
| 542 | }
|
---|
| 543 |
|
---|
| 544 | // Add New Ambiguities if necessary
|
---|
| 545 | // --------------------------------
|
---|
| 546 | if (OPT->ambLCs('G').size() || OPT->ambLCs('R').size() ||
|
---|
| 547 | OPT->ambLCs('E').size() || OPT->ambLCs('C').size()) {
|
---|
| 548 |
|
---|
| 549 | // Make a copy of QQ and xx, set parameter indices
|
---|
| 550 | // -----------------------------------------------
|
---|
| 551 | SymmetricMatrix QQ_old = _QQ;
|
---|
[7287] | 552 |
|
---|
[7235] | 553 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
| 554 | _params[iPar-1]->index_old = _params[iPar-1]->index;
|
---|
| 555 | _params[iPar-1]->index = 0;
|
---|
| 556 | }
|
---|
[7287] | 557 |
|
---|
[7235] | 558 | // Remove Ambiguity Parameters without observations
|
---|
| 559 | // ------------------------------------------------
|
---|
| 560 | int iPar = 0;
|
---|
| 561 | QMutableVectorIterator<t_pppParam*> im(_params);
|
---|
| 562 | while (im.hasNext()) {
|
---|
| 563 | t_pppParam* par = im.next();
|
---|
| 564 | bool removed = false;
|
---|
| 565 | if (par->type == t_pppParam::AMB_L3) {
|
---|
| 566 | if (epoData->satData.find(par->prn) == epoData->satData.end()) {
|
---|
| 567 | removed = true;
|
---|
| 568 | delete par;
|
---|
| 569 | im.remove();
|
---|
| 570 | }
|
---|
| 571 | }
|
---|
| 572 | if (! removed) {
|
---|
| 573 | ++iPar;
|
---|
| 574 | par->index = iPar;
|
---|
| 575 | }
|
---|
| 576 | }
|
---|
[7287] | 577 |
|
---|
[7235] | 578 | // Add new ambiguity parameters
|
---|
| 579 | // ----------------------------
|
---|
| 580 | QMapIterator<QString, t_satData*> it(epoData->satData);
|
---|
| 581 | while (it.hasNext()) {
|
---|
| 582 | it.next();
|
---|
| 583 | t_satData* satData = it.value();
|
---|
| 584 | addAmb(satData);
|
---|
| 585 | }
|
---|
[7287] | 586 |
|
---|
[7235] | 587 | int nPar = _params.size();
|
---|
| 588 | _QQ.ReSize(nPar); _QQ = 0.0;
|
---|
| 589 | for (int i1 = 1; i1 <= nPar; i1++) {
|
---|
| 590 | t_pppParam* p1 = _params[i1-1];
|
---|
| 591 | if (p1->index_old != 0) {
|
---|
| 592 | _QQ(p1->index, p1->index) = QQ_old(p1->index_old, p1->index_old);
|
---|
| 593 | for (int i2 = 1; i2 <= nPar; i2++) {
|
---|
| 594 | t_pppParam* p2 = _params[i2-1];
|
---|
| 595 | if (p2->index_old != 0) {
|
---|
| 596 | _QQ(p1->index, p2->index) = QQ_old(p1->index_old, p2->index_old);
|
---|
| 597 | }
|
---|
| 598 | }
|
---|
| 599 | }
|
---|
| 600 | }
|
---|
[7287] | 601 |
|
---|
[7235] | 602 | for (int ii = 1; ii <= nPar; ii++) {
|
---|
| 603 | t_pppParam* par = _params[ii-1];
|
---|
| 604 | if (par->index_old == 0) {
|
---|
| 605 | _QQ(par->index, par->index) = OPT->_aprSigAmb * OPT->_aprSigAmb;
|
---|
| 606 | }
|
---|
| 607 | par->index_old = par->index;
|
---|
| 608 | }
|
---|
| 609 | }
|
---|
| 610 | }
|
---|
| 611 |
|
---|
| 612 | // Update Step of the Filter (currently just a single-epoch solution)
|
---|
| 613 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 614 | t_irc t_pppFilter::update(t_epoData* epoData) {
|
---|
| 615 |
|
---|
| 616 | Tracer tracer("t_pppFilter::update");
|
---|
| 617 |
|
---|
| 618 | _time = epoData->tt; // current epoch time
|
---|
| 619 |
|
---|
| 620 | if (OPT->useOrbClkCorr()) {
|
---|
[7536] | 621 | LOG << "Precise Point Positioning of Epoch " << _time.datestr() << "_" << _time.timestr(3)
|
---|
[7235] | 622 | << "\n---------------------------------------------------------------\n";
|
---|
| 623 | }
|
---|
| 624 | else {
|
---|
[7536] | 625 | LOG << "Single Point Positioning of Epoch " << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 626 | << "\n---------------------------------------------------------------\n";
|
---|
[7235] | 627 | }
|
---|
| 628 |
|
---|
| 629 | // Outlier Detection Loop
|
---|
| 630 | // ----------------------
|
---|
| 631 | if (update_p(epoData) != success) {
|
---|
| 632 | return failure;
|
---|
| 633 | }
|
---|
| 634 |
|
---|
| 635 | // Set Solution Vector
|
---|
| 636 | // -------------------
|
---|
| 637 | LOG.setf(ios::fixed);
|
---|
| 638 | QVectorIterator<t_pppParam*> itPar(_params);
|
---|
| 639 | while (itPar.hasNext()) {
|
---|
| 640 | t_pppParam* par = itPar.next();
|
---|
| 641 | if (par->type == t_pppParam::RECCLK) {
|
---|
[7536] | 642 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 643 | << " CLK " << setw(10) << setprecision(3) << par->xx
|
---|
[7287] | 644 | << " +- " << setw(6) << setprecision(3)
|
---|
[7235] | 645 | << sqrt(_QQ(par->index,par->index));
|
---|
| 646 | }
|
---|
| 647 | else if (par->type == t_pppParam::AMB_L3) {
|
---|
| 648 | ++par->numEpo;
|
---|
[7536] | 649 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
[8204] | 650 | << " AMB " << par->prn.mid(0,3).toLatin1().data() << " "
|
---|
[7287] | 651 | << setw(10) << setprecision(3) << par->xx
|
---|
| 652 | << " +- " << setw(6) << setprecision(3)
|
---|
[7235] | 653 | << sqrt(_QQ(par->index,par->index))
|
---|
[7544] | 654 | << " epo = " << par->numEpo;
|
---|
[7235] | 655 | }
|
---|
| 656 | else if (par->type == t_pppParam::TROPO) {
|
---|
| 657 | double aprTrp = delay_saast(M_PI/2.0);
|
---|
[7536] | 658 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
[8204] | 659 | << " TRP " << par->prn.mid(0,3).toLatin1().data()
|
---|
[7235] | 660 | << setw(7) << setprecision(3) << aprTrp << " "
|
---|
| 661 | << setw(6) << setprecision(3) << showpos << par->xx << noshowpos
|
---|
[7287] | 662 | << " +- " << setw(6) << setprecision(3)
|
---|
[7235] | 663 | << sqrt(_QQ(par->index,par->index));
|
---|
| 664 | }
|
---|
| 665 | else if (par->type == t_pppParam::GLONASS_OFFSET) {
|
---|
[7536] | 666 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 667 | << " OFFGLO " << setw(10) << setprecision(3) << par->xx
|
---|
[7287] | 668 | << " +- " << setw(6) << setprecision(3)
|
---|
[7235] | 669 | << sqrt(_QQ(par->index,par->index));
|
---|
| 670 | }
|
---|
| 671 | else if (par->type == t_pppParam::GALILEO_OFFSET) {
|
---|
[7536] | 672 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 673 | << " OFFGAL " << setw(10) << setprecision(3) << par->xx
|
---|
[7287] | 674 | << " +- " << setw(6) << setprecision(3)
|
---|
[7235] | 675 | << sqrt(_QQ(par->index,par->index));
|
---|
| 676 | }
|
---|
| 677 | else if (par->type == t_pppParam::BDS_OFFSET) {
|
---|
[7536] | 678 | LOG << "\n" << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 679 | << " OFFBDS " << setw(10) << setprecision(3) << par->xx
|
---|
[7235] | 680 | << " +- " << setw(6) << setprecision(3)
|
---|
| 681 | << sqrt(_QQ(par->index,par->index));
|
---|
| 682 | }
|
---|
| 683 | }
|
---|
| 684 |
|
---|
| 685 | LOG << endl << endl;
|
---|
| 686 |
|
---|
| 687 | // Compute dilution of precision
|
---|
| 688 | // -----------------------------
|
---|
| 689 | cmpDOP(epoData);
|
---|
| 690 |
|
---|
| 691 | // Final Message (both log file and screen)
|
---|
| 692 | // ----------------------------------------
|
---|
[7544] | 693 | LOG << epoData->tt.datestr() << "_" << epoData->tt.timestr(3)
|
---|
| 694 | << " " << OPT->_roverName
|
---|
| 695 | << " X = "
|
---|
| 696 | << setprecision(4) << x() << " +- "
|
---|
| 697 | << setprecision(4) << sqrt(_QQ(1,1))
|
---|
[7235] | 698 |
|
---|
[7544] | 699 | << " Y = "
|
---|
| 700 | << setprecision(4) << y() << " +- "
|
---|
| 701 | << setprecision(4) << sqrt(_QQ(2,2))
|
---|
| 702 |
|
---|
| 703 | << " Z = "
|
---|
| 704 | << setprecision(4) << z() << " +- "
|
---|
| 705 | << setprecision(4) << sqrt(_QQ(3,3));
|
---|
| 706 |
|
---|
[7235] | 707 | // NEU Output
|
---|
| 708 | // ----------
|
---|
| 709 | if (OPT->xyzAprRoverSet()) {
|
---|
[7544] | 710 | SymmetricMatrix QQxyz = _QQ.SymSubMatrix(1,3);
|
---|
[7235] | 711 |
|
---|
[7544] | 712 | ColumnVector xyz(3);
|
---|
| 713 | xyz(1) = x() - OPT->_xyzAprRover[0];
|
---|
| 714 | xyz(2) = y() - OPT->_xyzAprRover[1];
|
---|
| 715 | xyz(3) = z() - OPT->_xyzAprRover[2];
|
---|
[7235] | 716 |
|
---|
[7544] | 717 | ColumnVector ellRef(3);
|
---|
| 718 | xyz2ell(OPT->_xyzAprRover.data(), ellRef.data());
|
---|
| 719 | xyz2neu(ellRef.data(), xyz.data(), _neu.data());
|
---|
| 720 |
|
---|
| 721 | SymmetricMatrix QQneu(3);
|
---|
| 722 | covariXYZ_NEU(QQxyz, ellRef.data(), QQneu);
|
---|
| 723 |
|
---|
| 724 | LOG << " dN = "
|
---|
| 725 | << setprecision(4) << _neu[0] << " +- "
|
---|
| 726 | << setprecision(4) << sqrt(QQneu[0][0])
|
---|
| 727 |
|
---|
| 728 | << " dE = "
|
---|
| 729 | << setprecision(4) << _neu[1] << " +- "
|
---|
| 730 | << setprecision(4) << sqrt(QQneu[1][1])
|
---|
| 731 |
|
---|
| 732 | << " dU = "
|
---|
| 733 | << setprecision(4) << _neu[2] << " +- "
|
---|
| 734 | << setprecision(4) << sqrt(QQneu[2][2]) << endl << endl;
|
---|
[7235] | 735 | }
|
---|
| 736 | else {
|
---|
| 737 | LOG << endl << endl;
|
---|
| 738 | }
|
---|
| 739 |
|
---|
| 740 | _lastTimeOK = _time; // remember time of last successful update
|
---|
| 741 | return success;
|
---|
| 742 | }
|
---|
| 743 |
|
---|
| 744 | // Outlier Detection
|
---|
| 745 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 746 | QString t_pppFilter::outlierDetection(int iPhase, const ColumnVector& vv,
|
---|
| 747 | QMap<QString, t_satData*>& satData) {
|
---|
| 748 |
|
---|
| 749 | Tracer tracer("t_pppFilter::outlierDetection");
|
---|
| 750 |
|
---|
| 751 | QString prnGPS;
|
---|
| 752 | QString prnGlo;
|
---|
[7287] | 753 | double maxResGPS = 0.0; // GPS + Galileo
|
---|
| 754 | double maxResGlo = 0.0; // GLONASS + BDS
|
---|
[7235] | 755 | findMaxRes(vv, satData, prnGPS, prnGlo, maxResGPS, maxResGlo);
|
---|
| 756 |
|
---|
| 757 | if (iPhase == 1) {
|
---|
[7287] | 758 | if (maxResGlo > 2.98 * OPT->_maxResL1) {
|
---|
[8204] | 759 | LOG << "Outlier Phase " << prnGlo.mid(0,3).toLatin1().data() << ' ' << maxResGlo << endl;
|
---|
[7235] | 760 | return prnGlo;
|
---|
| 761 | }
|
---|
[7959] | 762 | else if (maxResGPS > MAXRES_PHASE_GPS) {
|
---|
[8204] | 763 | LOG << "Outlier Phase " << prnGPS.mid(0,3).toLatin1().data() << ' ' << maxResGPS << endl;
|
---|
[7235] | 764 | return prnGPS;
|
---|
| 765 | }
|
---|
| 766 | }
|
---|
| 767 | else if (iPhase == 0 && maxResGPS > 2.98 * OPT->_maxResC1) {
|
---|
[8204] | 768 | LOG << "Outlier Code " << prnGPS.mid(0,3).toLatin1().data() << ' ' << maxResGPS << endl;
|
---|
[7235] | 769 | return prnGPS;
|
---|
| 770 | }
|
---|
| 771 |
|
---|
| 772 | return QString();
|
---|
| 773 | }
|
---|
| 774 |
|
---|
| 775 | // Phase Wind-Up Correction
|
---|
| 776 | ///////////////////////////////////////////////////////////////////////////
|
---|
| 777 | double t_pppFilter::windUp(const QString& prn, const ColumnVector& rSat,
|
---|
| 778 | const ColumnVector& rRec) {
|
---|
| 779 |
|
---|
| 780 | Tracer tracer("t_pppFilter::windUp");
|
---|
| 781 |
|
---|
| 782 | double Mjd = _time.mjd() + _time.daysec() / 86400.0;
|
---|
| 783 |
|
---|
| 784 | // First time - initialize to zero
|
---|
| 785 | // -------------------------------
|
---|
| 786 | if (!_windUpTime.contains(prn)) {
|
---|
| 787 | _windUpSum[prn] = 0.0;
|
---|
| 788 | }
|
---|
| 789 |
|
---|
| 790 | // Compute the correction for new time
|
---|
| 791 | // -----------------------------------
|
---|
| 792 | if (!_windUpTime.contains(prn) || _windUpTime[prn] != Mjd) {
|
---|
[7287] | 793 | _windUpTime[prn] = Mjd;
|
---|
[7235] | 794 |
|
---|
| 795 | // Unit Vector GPS Satellite --> Receiver
|
---|
| 796 | // --------------------------------------
|
---|
| 797 | ColumnVector rho = rRec - rSat;
|
---|
[8901] | 798 | rho /= rho.NormFrobenius();
|
---|
[7287] | 799 |
|
---|
[7235] | 800 | // GPS Satellite unit Vectors sz, sy, sx
|
---|
| 801 | // -------------------------------------
|
---|
[8901] | 802 | ColumnVector sz = -rSat / rSat.NormFrobenius();
|
---|
[7235] | 803 |
|
---|
| 804 | ColumnVector xSun = t_astro::Sun(Mjd);
|
---|
[8901] | 805 | xSun /= xSun.NormFrobenius();
|
---|
[7235] | 806 |
|
---|
| 807 | ColumnVector sy = crossproduct(sz, xSun);
|
---|
| 808 | ColumnVector sx = crossproduct(sy, sz);
|
---|
| 809 |
|
---|
| 810 | // Effective Dipole of the GPS Satellite Antenna
|
---|
| 811 | // ---------------------------------------------
|
---|
[7287] | 812 | ColumnVector dipSat = sx - rho * DotProduct(rho,sx)
|
---|
[7235] | 813 | - crossproduct(rho, sy);
|
---|
[7287] | 814 |
|
---|
[7235] | 815 | // Receiver unit Vectors rx, ry
|
---|
| 816 | // ----------------------------
|
---|
| 817 | ColumnVector rx(3);
|
---|
| 818 | ColumnVector ry(3);
|
---|
| 819 |
|
---|
| 820 | double recEll[3]; xyz2ell(rRec.data(), recEll) ;
|
---|
| 821 | double neu[3];
|
---|
[7287] | 822 |
|
---|
[7235] | 823 | neu[0] = 1.0;
|
---|
| 824 | neu[1] = 0.0;
|
---|
| 825 | neu[2] = 0.0;
|
---|
| 826 | neu2xyz(recEll, neu, rx.data());
|
---|
[7287] | 827 |
|
---|
[7235] | 828 | neu[0] = 0.0;
|
---|
| 829 | neu[1] = -1.0;
|
---|
| 830 | neu[2] = 0.0;
|
---|
| 831 | neu2xyz(recEll, neu, ry.data());
|
---|
[7287] | 832 |
|
---|
[7235] | 833 | // Effective Dipole of the Receiver Antenna
|
---|
| 834 | // ----------------------------------------
|
---|
[7287] | 835 | ColumnVector dipRec = rx - rho * DotProduct(rho,rx)
|
---|
[7235] | 836 | + crossproduct(rho, ry);
|
---|
[7287] | 837 |
|
---|
[7235] | 838 | // Resulting Effect
|
---|
| 839 | // ----------------
|
---|
[7287] | 840 | double alpha = DotProduct(dipSat,dipRec) /
|
---|
[8901] | 841 | (dipSat.NormFrobenius() * dipRec.NormFrobenius());
|
---|
[7287] | 842 |
|
---|
[7235] | 843 | if (alpha > 1.0) alpha = 1.0;
|
---|
| 844 | if (alpha < -1.0) alpha = -1.0;
|
---|
[7287] | 845 |
|
---|
[7235] | 846 | double dphi = acos(alpha) / 2.0 / M_PI; // in cycles
|
---|
[7287] | 847 |
|
---|
[7235] | 848 | if ( DotProduct(rho, crossproduct(dipSat, dipRec)) < 0.0 ) {
|
---|
| 849 | dphi = -dphi;
|
---|
| 850 | }
|
---|
| 851 |
|
---|
| 852 | _windUpSum[prn] = floor(_windUpSum[prn] - dphi + 0.5) + dphi;
|
---|
| 853 | }
|
---|
| 854 |
|
---|
[7287] | 855 | return _windUpSum[prn];
|
---|
[7235] | 856 | }
|
---|
| 857 |
|
---|
[7287] | 858 | //
|
---|
[7235] | 859 | ///////////////////////////////////////////////////////////////////////////
|
---|
| 860 | void t_pppFilter::cmpEle(t_satData* satData) {
|
---|
| 861 | Tracer tracer("t_pppFilter::cmpEle");
|
---|
| 862 | ColumnVector rr = satData->xx - _xcBanc.Rows(1,3);
|
---|
[8901] | 863 | double rho = rr.NormFrobenius();
|
---|
[7235] | 864 |
|
---|
| 865 | double neu[3];
|
---|
| 866 | xyz2neu(_ellBanc.data(), rr.data(), neu);
|
---|
| 867 |
|
---|
| 868 | satData->eleSat = acos( sqrt(neu[0]*neu[0] + neu[1]*neu[1]) / rho );
|
---|
| 869 | if (neu[2] < 0) {
|
---|
| 870 | satData->eleSat *= -1.0;
|
---|
| 871 | }
|
---|
| 872 | satData->azSat = atan2(neu[1], neu[0]);
|
---|
| 873 | }
|
---|
| 874 |
|
---|
[7287] | 875 | //
|
---|
[7235] | 876 | ///////////////////////////////////////////////////////////////////////////
|
---|
| 877 | void t_pppFilter::addAmb(t_satData* satData) {
|
---|
| 878 | Tracer tracer("t_pppFilter::addAmb");
|
---|
| 879 | if (!OPT->ambLCs(satData->system()).size()){
|
---|
| 880 | return;
|
---|
| 881 | }
|
---|
| 882 | bool found = false;
|
---|
| 883 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
[7287] | 884 | if (_params[iPar-1]->type == t_pppParam::AMB_L3 &&
|
---|
[7235] | 885 | _params[iPar-1]->prn == satData->prn) {
|
---|
| 886 | found = true;
|
---|
| 887 | break;
|
---|
| 888 | }
|
---|
| 889 | }
|
---|
| 890 | if (!found) {
|
---|
[7287] | 891 | t_pppParam* par = new t_pppParam(t_pppParam::AMB_L3,
|
---|
[7235] | 892 | _params.size()+1, satData->prn);
|
---|
| 893 | _params.push_back(par);
|
---|
| 894 | par->xx = satData->L3 - cmpValue(satData, true);
|
---|
| 895 | }
|
---|
| 896 | }
|
---|
| 897 |
|
---|
[7287] | 898 | //
|
---|
[7235] | 899 | ///////////////////////////////////////////////////////////////////////////
|
---|
| 900 | void t_pppFilter::addObs(int iPhase, unsigned& iObs, t_satData* satData,
|
---|
| 901 | Matrix& AA, ColumnVector& ll, DiagonalMatrix& PP) {
|
---|
| 902 |
|
---|
| 903 | Tracer tracer("t_pppFilter::addObs");
|
---|
| 904 |
|
---|
| 905 | const double ELEWGHT = 20.0;
|
---|
| 906 | double ellWgtCoef = 1.0;
|
---|
[7287] | 907 | double eleD = satData->eleSat * 180.0 / M_PI;
|
---|
[7235] | 908 | if (eleD < ELEWGHT) {
|
---|
| 909 | ellWgtCoef = 1.5 - 0.5 / (ELEWGHT - 10.0) * (eleD - 10.0);
|
---|
| 910 | }
|
---|
| 911 |
|
---|
| 912 | // Remember Observation Index
|
---|
| 913 | // --------------------------
|
---|
| 914 | ++iObs;
|
---|
| 915 | satData->obsIndex = iObs;
|
---|
| 916 |
|
---|
| 917 | // Phase Observations
|
---|
| 918 | // ------------------
|
---|
| 919 |
|
---|
| 920 | if (iPhase == 1) {
|
---|
| 921 | ll(iObs) = satData->L3 - cmpValue(satData, true);
|
---|
| 922 | double sigL3 = 2.98 * OPT->_sigmaL1;
|
---|
| 923 | if (satData->system() == 'R') {
|
---|
| 924 | sigL3 *= GLONASS_WEIGHT_FACTOR;
|
---|
| 925 | }
|
---|
| 926 | if (satData->system() == 'C') {
|
---|
| 927 | sigL3 *= BDS_WEIGHT_FACTOR;
|
---|
| 928 | }
|
---|
| 929 | PP(iObs,iObs) = 1.0 / (sigL3 * sigL3) / (ellWgtCoef * ellWgtCoef);
|
---|
| 930 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
| 931 | if (_params[iPar-1]->type == t_pppParam::AMB_L3 &&
|
---|
| 932 | _params[iPar-1]->prn == satData->prn) {
|
---|
| 933 | ll(iObs) -= _params[iPar-1]->xx;
|
---|
[7287] | 934 | }
|
---|
[7235] | 935 | AA(iObs, iPar) = _params[iPar-1]->partial(satData, true);
|
---|
| 936 | }
|
---|
| 937 | }
|
---|
| 938 |
|
---|
| 939 | // Code Observations
|
---|
| 940 | // -----------------
|
---|
| 941 | else {
|
---|
| 942 | double sigP3 = 2.98 * OPT->_sigmaC1;
|
---|
| 943 | ll(iObs) = satData->P3 - cmpValue(satData, false);
|
---|
| 944 | PP(iObs,iObs) = 1.0 / (sigP3 * sigP3) / (ellWgtCoef * ellWgtCoef);
|
---|
| 945 | for (int iPar = 1; iPar <= _params.size(); iPar++) {
|
---|
| 946 | AA(iObs, iPar) = _params[iPar-1]->partial(satData, false);
|
---|
| 947 | }
|
---|
| 948 | }
|
---|
| 949 | }
|
---|
| 950 |
|
---|
[7287] | 951 | //
|
---|
[7235] | 952 | ///////////////////////////////////////////////////////////////////////////
|
---|
[7287] | 953 | QByteArray t_pppFilter::printRes(int iPhase, const ColumnVector& vv,
|
---|
[7235] | 954 | const QMap<QString, t_satData*>& satDataMap) {
|
---|
| 955 |
|
---|
| 956 | Tracer tracer("t_pppFilter::printRes");
|
---|
| 957 |
|
---|
| 958 | ostringstream str;
|
---|
| 959 | str.setf(ios::fixed);
|
---|
| 960 | bool useObs;
|
---|
| 961 | QMapIterator<QString, t_satData*> it(satDataMap);
|
---|
| 962 | while (it.hasNext()) {
|
---|
| 963 | it.next();
|
---|
| 964 | t_satData* satData = it.value();
|
---|
| 965 | (iPhase == 0) ? useObs = OPT->codeLCs(satData->system()).size() :
|
---|
| 966 | useObs = OPT->ambLCs(satData->system()).size();
|
---|
| 967 | if (satData->obsIndex != 0 && useObs) {
|
---|
[7536] | 968 | str << _time.datestr() << "_" << _time.timestr(3)
|
---|
[8204] | 969 | << " RES " << satData->prn.mid(0,3).toLatin1().data()
|
---|
[7235] | 970 | << (iPhase ? " L3 " : " P3 ")
|
---|
| 971 | << setw(9) << setprecision(4) << vv(satData->obsIndex) << endl;
|
---|
| 972 | }
|
---|
| 973 | }
|
---|
| 974 |
|
---|
| 975 | return QByteArray(str.str().c_str());
|
---|
| 976 | }
|
---|
| 977 |
|
---|
[7287] | 978 | //
|
---|
[7235] | 979 | ///////////////////////////////////////////////////////////////////////////
|
---|
| 980 | void t_pppFilter::findMaxRes(const ColumnVector& vv,
|
---|
| 981 | const QMap<QString, t_satData*>& satData,
|
---|
[7287] | 982 | QString& prnGPS, QString& prnGlo,
|
---|
| 983 | double& maxResGPS, double& maxResGlo) {
|
---|
[7235] | 984 |
|
---|
| 985 | Tracer tracer("t_pppFilter::findMaxRes");
|
---|
| 986 |
|
---|
| 987 | maxResGPS = 0.0;
|
---|
| 988 | maxResGlo = 0.0;
|
---|
| 989 |
|
---|
| 990 | QMapIterator<QString, t_satData*> it(satData);
|
---|
| 991 | while (it.hasNext()) {
|
---|
| 992 | it.next();
|
---|
| 993 | t_satData* satData = it.value();
|
---|
| 994 | if (satData->obsIndex != 0) {
|
---|
| 995 | QString prn = satData->prn;
|
---|
[7287] | 996 | if (prn[0] == 'R' || prn[0] == 'C') {
|
---|
[7235] | 997 | if (fabs(vv(satData->obsIndex)) > maxResGlo) {
|
---|
| 998 | maxResGlo = fabs(vv(satData->obsIndex));
|
---|
| 999 | prnGlo = prn;
|
---|
| 1000 | }
|
---|
| 1001 | }
|
---|
| 1002 | else {
|
---|
| 1003 | if (fabs(vv(satData->obsIndex)) > maxResGPS) {
|
---|
| 1004 | maxResGPS = fabs(vv(satData->obsIndex));
|
---|
| 1005 | prnGPS = prn;
|
---|
| 1006 | }
|
---|
| 1007 | }
|
---|
| 1008 | }
|
---|
| 1009 | }
|
---|
| 1010 | }
|
---|
[7287] | 1011 |
|
---|
[7235] | 1012 | // Update Step (private - loop over outliers)
|
---|
| 1013 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1014 | t_irc t_pppFilter::update_p(t_epoData* epoData) {
|
---|
| 1015 |
|
---|
| 1016 | Tracer tracer("t_pppFilter::update_p");
|
---|
| 1017 |
|
---|
| 1018 | // Save Variance-Covariance Matrix, and Status Vector
|
---|
| 1019 | // --------------------------------------------------
|
---|
| 1020 | rememberState(epoData);
|
---|
| 1021 |
|
---|
| 1022 | QString lastOutlierPrn;
|
---|
| 1023 |
|
---|
| 1024 | // Try with all satellites, then with all minus one, etc.
|
---|
| 1025 | // ------------------------------------------------------
|
---|
| 1026 | while (selectSatellites(lastOutlierPrn, epoData->satData) == success) {
|
---|
| 1027 |
|
---|
| 1028 | QByteArray strResCode;
|
---|
| 1029 | QByteArray strResPhase;
|
---|
| 1030 |
|
---|
| 1031 | // Bancroft Solution
|
---|
| 1032 | // -----------------
|
---|
| 1033 | if (cmpBancroft(epoData) != success) {
|
---|
| 1034 | break;
|
---|
| 1035 | }
|
---|
| 1036 |
|
---|
| 1037 | // First update using code observations, then phase observations
|
---|
[7287] | 1038 | // -------------------------------------------------------------
|
---|
[7235] | 1039 | bool usePhase = OPT->ambLCs('G').size() || OPT->ambLCs('R').size() ||
|
---|
| 1040 | OPT->ambLCs('E').size() || OPT->ambLCs('C').size() ;
|
---|
| 1041 |
|
---|
[7545] | 1042 | char sys[] ={'G', 'R', 'E', 'C'};
|
---|
| 1043 |
|
---|
| 1044 | bool satnumPrinted[] = {false, false, false, false};
|
---|
| 1045 |
|
---|
[7235] | 1046 | for (int iPhase = 0; iPhase <= (usePhase ? 1 : 0); iPhase++) {
|
---|
| 1047 |
|
---|
| 1048 | // Status Prediction
|
---|
| 1049 | // -----------------
|
---|
| 1050 | predict(iPhase, epoData);
|
---|
[7287] | 1051 |
|
---|
[7235] | 1052 | // Create First-Design Matrix
|
---|
| 1053 | // --------------------------
|
---|
| 1054 | unsigned nPar = _params.size();
|
---|
| 1055 | unsigned nObs = 0;
|
---|
| 1056 | nObs = epoData->sizeAll();
|
---|
| 1057 | bool useObs = false;
|
---|
| 1058 | for (unsigned ii = 0; ii < sizeof(sys); ii++) {
|
---|
| 1059 | const char s = sys[ii];
|
---|
| 1060 | (iPhase == 0) ? useObs = OPT->codeLCs(s).size() : useObs = OPT->ambLCs(s).size();
|
---|
| 1061 | if (!useObs) {
|
---|
| 1062 | nObs -= epoData->sizeSys(s);
|
---|
| 1063 | }
|
---|
[7536] | 1064 | else {
|
---|
[7545] | 1065 | if (!satnumPrinted[ii]) {
|
---|
| 1066 | satnumPrinted[ii] = true;
|
---|
[7544] | 1067 | LOG << _time.datestr() << "_" << _time.timestr(3)
|
---|
| 1068 | << " SATNUM " << s << ' ' << right << setw(2)
|
---|
| 1069 | << epoData->sizeSys(s) << endl;
|
---|
| 1070 | }
|
---|
[7536] | 1071 | }
|
---|
[7235] | 1072 | }
|
---|
[7287] | 1073 |
|
---|
[7974] | 1074 | if (int(nObs) < OPT->_minObs) {
|
---|
[7852] | 1075 | restoreState(epoData);
|
---|
| 1076 | return failure;
|
---|
| 1077 | }
|
---|
| 1078 |
|
---|
[7235] | 1079 | // Prepare first-design Matrix, vector observed-computed
|
---|
| 1080 | // -----------------------------------------------------
|
---|
| 1081 | Matrix AA(nObs, nPar); // first design matrix
|
---|
[7287] | 1082 | ColumnVector ll(nObs); // terms observed-computed
|
---|
[7235] | 1083 | DiagonalMatrix PP(nObs); PP = 0.0;
|
---|
[7287] | 1084 |
|
---|
[7235] | 1085 | unsigned iObs = 0;
|
---|
| 1086 | QMapIterator<QString, t_satData*> it(epoData->satData);
|
---|
[7536] | 1087 |
|
---|
[7235] | 1088 | while (it.hasNext()) {
|
---|
| 1089 | it.next();
|
---|
| 1090 | t_satData* satData = it.value();
|
---|
| 1091 | QString prn = satData->prn;
|
---|
| 1092 | (iPhase == 0) ? useObs = OPT->codeLCs(satData->system()).size() :
|
---|
| 1093 | useObs = OPT->ambLCs(satData->system()).size();
|
---|
| 1094 | if (useObs) {
|
---|
| 1095 | addObs(iPhase, iObs, satData, AA, ll, PP);
|
---|
| 1096 | } else {
|
---|
| 1097 | satData->obsIndex = 0;
|
---|
| 1098 | }
|
---|
| 1099 | }
|
---|
| 1100 |
|
---|
| 1101 | // Compute Filter Update
|
---|
| 1102 | // ---------------------
|
---|
| 1103 | ColumnVector dx(nPar); dx = 0.0;
|
---|
| 1104 | kalman(AA, ll, PP, _QQ, dx);
|
---|
| 1105 | ColumnVector vv = ll - AA * dx;
|
---|
[7287] | 1106 |
|
---|
[7235] | 1107 | // Print Residuals
|
---|
| 1108 | // ---------------
|
---|
[7287] | 1109 | if (iPhase == 0) {
|
---|
[7235] | 1110 | strResCode = printRes(iPhase, vv, epoData->satData);
|
---|
| 1111 | }
|
---|
| 1112 | else {
|
---|
| 1113 | strResPhase = printRes(iPhase, vv, epoData->satData);
|
---|
| 1114 | }
|
---|
| 1115 |
|
---|
| 1116 | // Check the residuals
|
---|
| 1117 | // -------------------
|
---|
| 1118 | lastOutlierPrn = outlierDetection(iPhase, vv, epoData->satData);
|
---|
| 1119 |
|
---|
| 1120 | // No Outlier Detected
|
---|
| 1121 | // -------------------
|
---|
| 1122 | if (lastOutlierPrn.isEmpty()) {
|
---|
| 1123 |
|
---|
| 1124 | QVectorIterator<t_pppParam*> itPar(_params);
|
---|
| 1125 | while (itPar.hasNext()) {
|
---|
| 1126 | t_pppParam* par = itPar.next();
|
---|
| 1127 | par->xx += dx(par->index);
|
---|
| 1128 | }
|
---|
| 1129 |
|
---|
| 1130 | if (!usePhase || iPhase == 1) {
|
---|
| 1131 | if (_outlierGPS.size() > 0 || _outlierGlo.size() > 0) {
|
---|
| 1132 | LOG << "Neglected PRNs: ";
|
---|
| 1133 | if (!_outlierGPS.isEmpty()) {
|
---|
[8204] | 1134 | LOG << _outlierGPS.last().mid(0,3).toLatin1().data() << ' ';
|
---|
[7235] | 1135 | }
|
---|
| 1136 | QStringListIterator itGlo(_outlierGlo);
|
---|
| 1137 | while (itGlo.hasNext()) {
|
---|
| 1138 | QString prn = itGlo.next();
|
---|
[8204] | 1139 | LOG << prn.mid(0,3).toLatin1().data() << ' ';
|
---|
[7235] | 1140 | }
|
---|
[7573] | 1141 | LOG << endl;
|
---|
[7235] | 1142 | }
|
---|
| 1143 | LOG << strResCode.data() << strResPhase.data();
|
---|
| 1144 |
|
---|
| 1145 | return success;
|
---|
| 1146 | }
|
---|
| 1147 | }
|
---|
| 1148 |
|
---|
| 1149 | // Outlier Found
|
---|
| 1150 | // -------------
|
---|
| 1151 | else {
|
---|
| 1152 | restoreState(epoData);
|
---|
| 1153 | break;
|
---|
| 1154 | }
|
---|
| 1155 |
|
---|
| 1156 | } // for iPhase
|
---|
| 1157 |
|
---|
| 1158 | } // while selectSatellites
|
---|
| 1159 |
|
---|
| 1160 | restoreState(epoData);
|
---|
| 1161 | return failure;
|
---|
| 1162 | }
|
---|
| 1163 |
|
---|
| 1164 | // Remeber Original State Vector and Variance-Covariance Matrix
|
---|
| 1165 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1166 | void t_pppFilter::rememberState(t_epoData* epoData) {
|
---|
| 1167 |
|
---|
| 1168 | _QQ_sav = _QQ;
|
---|
| 1169 |
|
---|
| 1170 | QVectorIterator<t_pppParam*> itSav(_params_sav);
|
---|
| 1171 | while (itSav.hasNext()) {
|
---|
| 1172 | t_pppParam* par = itSav.next();
|
---|
| 1173 | delete par;
|
---|
| 1174 | }
|
---|
| 1175 | _params_sav.clear();
|
---|
| 1176 |
|
---|
| 1177 | QVectorIterator<t_pppParam*> it(_params);
|
---|
| 1178 | while (it.hasNext()) {
|
---|
| 1179 | t_pppParam* par = it.next();
|
---|
| 1180 | _params_sav.push_back(new t_pppParam(*par));
|
---|
| 1181 | }
|
---|
| 1182 |
|
---|
| 1183 | _epoData_sav->deepCopy(epoData);
|
---|
| 1184 | }
|
---|
| 1185 |
|
---|
| 1186 | // Restore Original State Vector and Variance-Covariance Matrix
|
---|
| 1187 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1188 | void t_pppFilter::restoreState(t_epoData* epoData) {
|
---|
| 1189 |
|
---|
| 1190 | _QQ = _QQ_sav;
|
---|
| 1191 |
|
---|
| 1192 | QVectorIterator<t_pppParam*> it(_params);
|
---|
| 1193 | while (it.hasNext()) {
|
---|
| 1194 | t_pppParam* par = it.next();
|
---|
| 1195 | delete par;
|
---|
| 1196 | }
|
---|
| 1197 | _params.clear();
|
---|
| 1198 |
|
---|
| 1199 | QVectorIterator<t_pppParam*> itSav(_params_sav);
|
---|
| 1200 | while (itSav.hasNext()) {
|
---|
| 1201 | t_pppParam* par = itSav.next();
|
---|
| 1202 | _params.push_back(new t_pppParam(*par));
|
---|
| 1203 | }
|
---|
| 1204 |
|
---|
| 1205 | epoData->deepCopy(_epoData_sav);
|
---|
| 1206 | }
|
---|
| 1207 |
|
---|
[7287] | 1208 | //
|
---|
[7235] | 1209 | ////////////////////////////////////////////////////////////////////////////
|
---|
[7287] | 1210 | t_irc t_pppFilter::selectSatellites(const QString& lastOutlierPrn,
|
---|
[7235] | 1211 | QMap<QString, t_satData*>& satData) {
|
---|
| 1212 |
|
---|
[7287] | 1213 | // First Call
|
---|
[7235] | 1214 | // ----------
|
---|
| 1215 | if (lastOutlierPrn.isEmpty()) {
|
---|
| 1216 | _outlierGPS.clear();
|
---|
| 1217 | _outlierGlo.clear();
|
---|
| 1218 | return success;
|
---|
| 1219 | }
|
---|
| 1220 |
|
---|
| 1221 | // Second and next trials
|
---|
| 1222 | // ----------------------
|
---|
| 1223 | else {
|
---|
| 1224 |
|
---|
[7287] | 1225 | if (lastOutlierPrn[0] == 'R' || lastOutlierPrn[0] == 'C') {
|
---|
[7235] | 1226 | _outlierGlo << lastOutlierPrn;
|
---|
| 1227 | }
|
---|
| 1228 |
|
---|
| 1229 | // Remove all Glonass Outliers
|
---|
| 1230 | // ---------------------------
|
---|
| 1231 | QStringListIterator it(_outlierGlo);
|
---|
| 1232 | while (it.hasNext()) {
|
---|
| 1233 | QString prn = it.next();
|
---|
| 1234 | if (satData.contains(prn)) {
|
---|
| 1235 | delete satData.take(prn);
|
---|
| 1236 | }
|
---|
| 1237 | }
|
---|
| 1238 |
|
---|
[7287] | 1239 | if (lastOutlierPrn[0] == 'R' || lastOutlierPrn[0] == 'C') {
|
---|
[7235] | 1240 | _outlierGPS.clear();
|
---|
| 1241 | return success;
|
---|
| 1242 | }
|
---|
| 1243 |
|
---|
| 1244 | // GPS Outlier appeared for the first time - try to delete it
|
---|
| 1245 | // ----------------------------------------------------------
|
---|
| 1246 | if (_outlierGPS.indexOf(lastOutlierPrn) == -1) {
|
---|
| 1247 | _outlierGPS << lastOutlierPrn;
|
---|
| 1248 | if (satData.contains(lastOutlierPrn)) {
|
---|
| 1249 | delete satData.take(lastOutlierPrn);
|
---|
| 1250 | }
|
---|
| 1251 | return success;
|
---|
| 1252 | }
|
---|
| 1253 |
|
---|
| 1254 | }
|
---|
| 1255 |
|
---|
| 1256 | return failure;
|
---|
| 1257 | }
|
---|
| 1258 |
|
---|
[7287] | 1259 | //
|
---|
[7235] | 1260 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1261 | double lorentz(const ColumnVector& aa, const ColumnVector& bb) {
|
---|
| 1262 | return aa(1)*bb(1) + aa(2)*bb(2) + aa(3)*bb(3) - aa(4)*bb(4);
|
---|
| 1263 | }
|
---|
| 1264 |
|
---|
[7287] | 1265 | //
|
---|
[7235] | 1266 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1267 | void t_pppFilter::bancroft(const Matrix& BBpass, ColumnVector& pos) {
|
---|
| 1268 |
|
---|
| 1269 | if (pos.Nrows() != 4) {
|
---|
| 1270 | pos.ReSize(4);
|
---|
| 1271 | }
|
---|
| 1272 | pos = 0.0;
|
---|
| 1273 |
|
---|
| 1274 | for (int iter = 1; iter <= 2; iter++) {
|
---|
| 1275 | Matrix BB = BBpass;
|
---|
| 1276 | int mm = BB.Nrows();
|
---|
| 1277 | for (int ii = 1; ii <= mm; ii++) {
|
---|
| 1278 | double xx = BB(ii,1);
|
---|
| 1279 | double yy = BB(ii,2);
|
---|
| 1280 | double traveltime = 0.072;
|
---|
| 1281 | if (iter > 1) {
|
---|
| 1282 | double zz = BB(ii,3);
|
---|
[7287] | 1283 | double rho = sqrt( (xx-pos(1)) * (xx-pos(1)) +
|
---|
| 1284 | (yy-pos(2)) * (yy-pos(2)) +
|
---|
[7235] | 1285 | (zz-pos(3)) * (zz-pos(3)) );
|
---|
| 1286 | traveltime = rho / t_CST::c;
|
---|
| 1287 | }
|
---|
| 1288 | double angle = traveltime * t_CST::omega;
|
---|
| 1289 | double cosa = cos(angle);
|
---|
| 1290 | double sina = sin(angle);
|
---|
| 1291 | BB(ii,1) = cosa * xx + sina * yy;
|
---|
| 1292 | BB(ii,2) = -sina * xx + cosa * yy;
|
---|
| 1293 | }
|
---|
[7287] | 1294 |
|
---|
[7235] | 1295 | Matrix BBB;
|
---|
| 1296 | if (mm > 4) {
|
---|
| 1297 | SymmetricMatrix hlp; hlp << BB.t() * BB;
|
---|
| 1298 | BBB = hlp.i() * BB.t();
|
---|
| 1299 | }
|
---|
| 1300 | else {
|
---|
| 1301 | BBB = BB.i();
|
---|
| 1302 | }
|
---|
| 1303 | ColumnVector ee(mm); ee = 1.0;
|
---|
| 1304 | ColumnVector alpha(mm); alpha = 0.0;
|
---|
| 1305 | for (int ii = 1; ii <= mm; ii++) {
|
---|
[7287] | 1306 | alpha(ii) = lorentz(BB.Row(ii).t(),BB.Row(ii).t())/2.0;
|
---|
[7235] | 1307 | }
|
---|
| 1308 | ColumnVector BBBe = BBB * ee;
|
---|
| 1309 | ColumnVector BBBalpha = BBB * alpha;
|
---|
| 1310 | double aa = lorentz(BBBe, BBBe);
|
---|
| 1311 | double bb = lorentz(BBBe, BBBalpha)-1;
|
---|
| 1312 | double cc = lorentz(BBBalpha, BBBalpha);
|
---|
| 1313 | double root = sqrt(bb*bb-aa*cc);
|
---|
| 1314 |
|
---|
[7287] | 1315 | Matrix hlpPos(4,2);
|
---|
[7235] | 1316 | hlpPos.Column(1) = (-bb-root)/aa * BBBe + BBBalpha;
|
---|
| 1317 | hlpPos.Column(2) = (-bb+root)/aa * BBBe + BBBalpha;
|
---|
| 1318 |
|
---|
| 1319 | ColumnVector omc(2);
|
---|
| 1320 | for (int pp = 1; pp <= 2; pp++) {
|
---|
| 1321 | hlpPos(4,pp) = -hlpPos(4,pp);
|
---|
[7287] | 1322 | omc(pp) = BB(1,4) -
|
---|
[7235] | 1323 | sqrt( (BB(1,1)-hlpPos(1,pp)) * (BB(1,1)-hlpPos(1,pp)) +
|
---|
| 1324 | (BB(1,2)-hlpPos(2,pp)) * (BB(1,2)-hlpPos(2,pp)) +
|
---|
[7287] | 1325 | (BB(1,3)-hlpPos(3,pp)) * (BB(1,3)-hlpPos(3,pp)) ) -
|
---|
[7235] | 1326 | hlpPos(4,pp);
|
---|
| 1327 | }
|
---|
| 1328 | if ( fabs(omc(1)) > fabs(omc(2)) ) {
|
---|
| 1329 | pos = hlpPos.Column(2);
|
---|
| 1330 | }
|
---|
| 1331 | else {
|
---|
| 1332 | pos = hlpPos.Column(1);
|
---|
| 1333 | }
|
---|
| 1334 | }
|
---|
| 1335 | }
|
---|
| 1336 |
|
---|
[7287] | 1337 | //
|
---|
[7235] | 1338 | ////////////////////////////////////////////////////////////////////////////
|
---|
| 1339 | void t_pppFilter::cmpDOP(t_epoData* epoData) {
|
---|
| 1340 |
|
---|
| 1341 | Tracer tracer("t_pppFilter::cmpDOP");
|
---|
| 1342 |
|
---|
| 1343 | _numSat = 0;
|
---|
[7929] | 1344 | _hDop = 0.0;
|
---|
[7235] | 1345 |
|
---|
| 1346 | if (_params.size() < 4) {
|
---|
| 1347 | return;
|
---|
| 1348 | }
|
---|
| 1349 |
|
---|
| 1350 | const unsigned numPar = 4;
|
---|
| 1351 | Matrix AA(epoData->sizeAll(), numPar);
|
---|
| 1352 | QMapIterator<QString, t_satData*> it(epoData->satData);
|
---|
| 1353 | while (it.hasNext()) {
|
---|
| 1354 | it.next();
|
---|
| 1355 | t_satData* satData = it.value();
|
---|
| 1356 | _numSat += 1;
|
---|
| 1357 | for (unsigned iPar = 0; iPar < numPar; iPar++) {
|
---|
| 1358 | AA[_numSat-1][iPar] = _params[iPar]->partial(satData, false);
|
---|
| 1359 | }
|
---|
| 1360 | }
|
---|
| 1361 | if (_numSat < 4) {
|
---|
| 1362 | return;
|
---|
| 1363 | }
|
---|
| 1364 | AA = AA.Rows(1, _numSat);
|
---|
[7287] | 1365 | SymmetricMatrix NN; NN << AA.t() * AA;
|
---|
[7235] | 1366 | SymmetricMatrix QQ = NN.i();
|
---|
[7287] | 1367 |
|
---|
[7929] | 1368 | _hDop = sqrt(QQ(1,1) + QQ(2,2));
|
---|
[7235] | 1369 | }
|
---|