Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements

The paper presents an approach to the simultaneous use of SDCM and EGNOS corrections for two GNSS receivers placed at a constant distance. The SDCM and EGNOS corrections were applied for two GPS code measurements on L1 frequency: C1C and C1W. The approach is based mainly on the constrained least squ...

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Main Authors: Mieczysław Bakuła, Kamil Krasuski, Karol Dawidowicz
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/14/13/3152
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author Mieczysław Bakuła
Kamil Krasuski
Karol Dawidowicz
author_facet Mieczysław Bakuła
Kamil Krasuski
Karol Dawidowicz
author_sort Mieczysław Bakuła
collection DOAJ
description The paper presents an approach to the simultaneous use of SDCM and EGNOS corrections for two GNSS receivers placed at a constant distance. The SDCM and EGNOS corrections were applied for two GPS code measurements on L1 frequency: C1C and C1W. The approach is based mainly on the constrained least squares adjustment, but for the horizontal and vertical coordinates, the Kalman Filter was applied in order to reduce pseudo-range noises. It allows for obtaining a higher autonomous accuracy of GPS/(SDCM+EGNOS) positioning than when using only the GPS/EGNOS or GPS/SDCM system. The final dual-redundant solution, in which two SBAS systems were used (EGNOS+SDCM) and two GPS pseudo-ranges (C1C+C1W) were present, yielded RMS errors of 0.11 m for the horizontal coordinates and 0.25 m for the vertical coordinates. Moreover, the accuracy analysis in the developed mathematical model for the determined 3D coordinates with simultaneous use of EGNOS and SDCM systems proved to be much more reliable than using only a single EGNOS or SDCM system. The presented approach can be used not only for precise navigation, but also for some geoscience applications and remote sensing where the reliable accuracy of autonomous GPS positioning is required.
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spelling doaj.art-c1e0884a76764b92a3c270b10b8944582023-11-30T22:23:25ZengMDPI AGRemote Sensing2072-42922022-06-011413315210.3390/rs14133152Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range MeasurementsMieczysław Bakuła0Kamil Krasuski1Karol Dawidowicz2Institute of Navigation, Polish Air Force University, 08-521 Dęblin, PolandInstitute of Navigation, Polish Air Force University, 08-521 Dęblin, PolandInstitute of Geodesy and Civil Engineering, University of Warmia and Mazury, 10-724 Olsztyn, PolandThe paper presents an approach to the simultaneous use of SDCM and EGNOS corrections for two GNSS receivers placed at a constant distance. The SDCM and EGNOS corrections were applied for two GPS code measurements on L1 frequency: C1C and C1W. The approach is based mainly on the constrained least squares adjustment, but for the horizontal and vertical coordinates, the Kalman Filter was applied in order to reduce pseudo-range noises. It allows for obtaining a higher autonomous accuracy of GPS/(SDCM+EGNOS) positioning than when using only the GPS/EGNOS or GPS/SDCM system. The final dual-redundant solution, in which two SBAS systems were used (EGNOS+SDCM) and two GPS pseudo-ranges (C1C+C1W) were present, yielded RMS errors of 0.11 m for the horizontal coordinates and 0.25 m for the vertical coordinates. Moreover, the accuracy analysis in the developed mathematical model for the determined 3D coordinates with simultaneous use of EGNOS and SDCM systems proved to be much more reliable than using only a single EGNOS or SDCM system. The presented approach can be used not only for precise navigation, but also for some geoscience applications and remote sensing where the reliable accuracy of autonomous GPS positioning is required.https://www.mdpi.com/2072-4292/14/13/3152SBAS positioningEGNOSSDCMdifferential GPSleast squares adjustmentKalman filtering
spellingShingle Mieczysław Bakuła
Kamil Krasuski
Karol Dawidowicz
Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
Remote Sensing
SBAS positioning
EGNOS
SDCM
differential GPS
least squares adjustment
Kalman filtering
title Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
title_full Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
title_fullStr Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
title_full_unstemmed Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
title_short Dual Receiver EGNOS+SDCM Positioning with C1C and C1W Pseudo-Range Measurements
title_sort dual receiver egnos sdcm positioning with c1c and c1w pseudo range measurements
topic SBAS positioning
EGNOS
SDCM
differential GPS
least squares adjustment
Kalman filtering
url https://www.mdpi.com/2072-4292/14/13/3152
work_keys_str_mv AT mieczysławbakuła dualreceiveregnossdcmpositioningwithc1candc1wpseudorangemeasurements
AT kamilkrasuski dualreceiveregnossdcmpositioningwithc1candc1wpseudorangemeasurements
AT karoldawidowicz dualreceiveregnossdcmpositioningwithc1candc1wpseudorangemeasurements