More Web Proxy on the site http://driver.im/

research-article

Two modified multi-frequency GNSS approaches to estimate the pseudorange observable-specific signal bias for the CDMA and FDMA models

Authors:

Guoqiang JiaoAuthors Info & Claims

GPS Solutions, Volume 27, Issue 2

https://doi.org/10.1007/s10291-023-01417-5

Published: 06 March 2023 Publication History

Abstract

Pseudorange bias handling is essential in satellite positioning, navigation and timing (PNT) services and ionospheric modeling. Differential code bias (DCB) is commonly utilized and parameterized as the differential form of the pseudorange bias. To overcome the challenges of the inflexible and inconvenient extendable DCB calibration for the multi-frequency observations with multiple signal modulations, the pseudorange observable-specific signal bias (OSB) is used alternatively as the observation-specific individual bias representation. The study estimates the pseudorange OSBs of all the observation channels with two rigorous and modified multi-frequency approaches: multi-frequency modified carrier-to-code leveling (MFMCCL) and multi-frequency modified precise point positioning (MFMPPP) approaches. Both two approaches extract the slant ionospheric observables by considering the time-variant characteristic of the receiver pseudorange bias, after that estimating the pseudorange OSBs with certain reliability. After solving the various linear combinations of the pseudorange OSBs by two approaches, including the slant ionospheric observables and satellite-plus-receiver (SPR) pseudorange biases, all possible multi-frequency pseudorange OSBs are estimated simultaneously. Both two approaches are discussed for the GNSS observations with the code division multiple access (CDMA) and frequency division multiple access (FDMA) models. The two methods are validated with one-month data to estimate 31 types of pseudorange OSBs for the GPS, BDS, GLONASS and Galileo systems. Compared with the Chinese Academy of Sciences (CAS) pseudorange OSB product, the results indicated that both two proposed approaches can estimate the reliable multi-frequency multi-GNSS pseudorange OSBs with high stability and consistency.

References

[1]

Banville S, Geng J, Loyer S, Schaer S, Springer T, and Strasser S On the interoperability of IGS products for precise point positioning with ambiguity resolution J Geod 2020 94 10 1-15

[2]

Dach R et al. GNSS processing at CODE: status report J Geodesy 2009 83 353-365

[3]

Deng Y, Guo F, Ren X, Ma F, and Zhang X Estimation and analysis of multi-GNSS observable-specific code biases GPS Solutions 2021 25 1-13

[4]

Ge Y, Zhou F, Sun B, Wang S, and Shi B The impact of satellite time group delay and inter-frequency differential code bias corrections on multi-GNSS combined positioning Sensors 2017 17 602

[5]

Geng J, Wen Q, Zhang Q, Li G, and Zhang K GNSS observable-specific phase biases for all-frequency PPP ambiguity resolution J Geod 2022 96 11

[6]

Guo J, Jiang W, Chen Y, Ma X, Chen H (2022) Long-term and short-term stability characteristics of receiver inter system bias for BDS3/BDS2. Geodesy Geodyn.

[7]

Hauschild A and Montenbruck O A study on the dependency of GNSS pseudorange biases on correlator spacing GPS Solutions 2016 20 159-171

[8]

Huang L, Fang X, Zhang T, Wang H, Cui L, Liu, L (2022) Evaluation of surface temperature and pressure derived from MERRA-2 and ERA5 reanalysis datasets and their applications in hourly GNSS precipitable water vapor retrieval over China. Geodesy and Geodynamics.

[9]

Jiang W, Liu T, Chen H, Song C, Chen Q, and Geng T Multi-frequency phase observable-specific signal bias estimation and its application in the precise point positioning with ambiguity resolution GPS Solutions 2022 27 1 1-12

[10]

Jin S, Jin R, and Li D Assessment of BeiDou differential code bias variations from multi-GNSS network observations Ann Geophys 2016 09927689 34

[11]

Laurichesse D, Blot A (2016) Fast PPP convergence using multi-constellation and triple-frequency ambiguity resolution. In: Proceedings of ION GNSS 2016 Institute of Navigation, Oregon, Portland, April, 403–412

[12]

Leick A, Rapoport L, and Tatarnikov D GPS satellite surveying 2015 John Wiley & Sons

[13]

Li M and Yuan Y Estimation and analysis of the observable-specific code biases estimated using multi-GNSS observations and global ionospheric maps Remote Sens 2021 13 3096

[14]

Li Z, Yuan Y, Li H, Ou J, and Huo X Two-step method for the determination of the differential code biases of COMPASS satellites J Geodesy 2012 86 1059-1076

[15]

Li X, Xie W, Huang J, Ma T, Zhang X, and Yuan Y Estimation and analysis of differential code biases for BDS3/BDS2 using iGMAS and MGEX observations J Geodesy 2019 93 419-435

[16]

Li M, Yuan Y, Zhang X, and Zha J A multi-frequency and multi-GNSS method for the retrieval of the ionospheric TEC and intraday variability of receiver DCBs J Geodesy 2020 94 1-14

[17]

Li X et al. The phase and code biases of Galileo and BDS-3 BOC signals: effect on ambiguity resolution and precise positioning J Geodesy 2020 94 1-14

[18]

Li X, Li X, Jiang Z, Xia C, Shen Z, and Wu J A unified model of GNSS phase/code bias calibration for PPP ambiguity resolution with GPS, BDS, Galileo and GLONASS multi-frequency observations GPS Solut 2022 26 84

[19]

Liu T and Zhang B Estimation of code observation-specific biases (OSBs) for the modernized multi-frequency and multi-GNSS signals: an undifferenced and uncombined approach J Geodesy 2021 95 1-20

[20]

Montenbruck O, Hauschild A, and Steigenberger P Differential code bias estimation using multi-GNSS observations and global ionosphere maps Navigation 2014 61 3 191-201

[21]

Odijk D, Zhang B, Khodabandeh A, Odolinski R, and Teunissen PJ On the estimability of parameters in undifferenced, uncombined GNSS network and PPP-RTK user models by means of S-system theory J Geod 2016 90 1 15-44

[22]

Rebeyrol E, Julien O, Macabiau C, Ries L, Delatour A, and Lestarquit L Galileo civil signal modulations GPS Solutions 2007 11 159-171

[23]

RTCM (2016) RTCM standard 10403.3 differential GNSS (global navigation satellite systems) services-version 3 RTCM Special Committee

[24]

Schaer S, Villiger A, Arnold D, Dach R, Prange L, and Jäggi A The CODE ambiguity-fixed clock and phase bias analysis products: generation, properties, and performance J Geod 2021 95 81

[25]

Schaer S (2012) Overview of relevant GNSS biases. In: Proceedings of IGS workshop on GNSS biases. University of Bern, Switzerland, 18–19 Jan

[26]

Schaer S (2016) BIAS—Solution (Software/technique) INdependent EXchange Format for GNSS BIASes Version 1.00. In: IGS workshop on GNSS biases, Bern, Switzerland, 2016.

[27]

Sharma G Manifestation of earthquake preparation zone in the ionosphere before 2021 Sonitpur, Assam earthquake revealed by GPS-TEC data Geodesy Geodyn 2022 13 3 230-237

[28]

Su K, Jin S, Jiang J, Hoque M, and Yuan L Ionospheric VTEC and satellite DCB estimated from single-frequency BDS observations with multi-layer mapping function GPS Solutions 2021 25 1-17

[29]

Su K, Jin S, and Jiao G GNSS carrier phase time-variant observable-specific signal bias (OSB) handling: an absolute bias perspective in multi-frequency PPP GPS Solut 2022 26 71

[30]

Vergados P, Komjathy A, Runge TF, Butala MD, and Mannucci AJ Characterization of the impact of GLONASS observables on receiver bias estimation for ionospheric studies Radio Sci 2016 51 1010-1021

[31]

Villiger A, Schaer S, Dach R, Prange L, Sušnik A, and Jäggi A Determination of GNSS pseudo-absolute code biases and their long-term combination J Geodesy 2019 93 1487-1500

[32]

Wang N, Li Z, Duan B, Hugentobler U, and Wang L GPS and GLONASS observable-specific code bias estimation: comparison of solutions from the IGS and MGEX networks J Geodesy 2020 94 1-15

[33]

Wang Q, Jin S, Yuan L, Hu Y, Chen J, and Guo J Estimation and analysis of BDS-3 differential code biases from MGEX observations Remote Sensing 2020 12 68

[34]

Wilson BD, Mannucci AJ (1993) Instrumental biases in ionospheric measurement derived from GPS data.

[35]

Yao Z, Zhang J, and Lu M ACE-BOC: dual-frequency constant envelope multiplexing for satellite navigation IEEE Trans Aerosp Electron Syst 2016 52 466-485

[36]

Yuan Y and Ou J A generalized trigonometric series function model for determining ionospheric delay Prog Nat Sci 2004 14 1010-1014

[37]

Zhang B, Ou J, Yuan Y, and Li Z Extraction of line-of-sight ionospheric observables from GPS data using precise point positioning Sci China Earth Sci 2012 55 1919-1928

[38]

Zhang B, Chen Y, and Yuan Y PPP-RTK based on undifferenced and uncombined observations: theoretical and practical aspects J Geodesy 2019 93 1011-1024

[39]

Zhang B, Teunissen PJ, Yuan Y, Zhang X, and Li M A modified carrier-to-code leveling method for retrieving ionospheric observables and detecting short-term temporal variability of receiver differential code biases J Geodesy 2019 93 19-28

[40]

Zhang X, Zhang B, Yuan Y, Zha J, and Li M A refined carrier-to-code levelling method for retrieving ionospheric measurements from dual-frequency GPS data Meas Sci Technol 2019 31

[41]

Zhang B, Zhao C, Odolinski R, and Liu T Functional model modification of precise point positioning considering the time-varying code biases of a receiver Satellite Navigation 2021 2 1-10

[42]

Zhang B, Teunissen P, Yuan Y, Zhang X, Li M (2018) A modified carrier-to-code leveling method for retrieving ionospheric observables and detecting short-term temporal variability of receiver differential code biases. J Geodesy 19–28

[43]

Zhou F, Dong D, Ge M, Li P, Wickert J, and Schuh H Simultaneous estimation of GLONASS pseudorange inter-frequency biases in precise point positioning using undifferenced and uncombined observations GPS Solutions 2018 22 19

Cited By

Yuan HZhang ZHe XZhan W(2024)An improved estimation approach of GNSS multi-frequency code observable‑specific bias aided by geometry-free and ionospheric-free observationsGPS Solutions10.1007/s10291-024-01746-z28:4Online publication date: 16-Sep-2024
https://dl.acm.org/doi/10.1007/s10291-024-01746-z

Index Terms

Two modified multi-frequency GNSS approaches to estimate the pseudorange observable-specific signal bias for the CDMA and FDMA models

Index terms have been assigned to the content through auto-classification.

Recommendations

Estimation and analysis of multi-GNSS observable-specific code biases
Abstract
The proper handling of code biases is essential for realizing precise ionospheric modeling, positioning and timing. It is common to treat code biases in a differential mode as a differential code bias (DCB). With the modernization of GPS and ...
Considering inter-frequency clock bias for GLONASS FDMA + CDMA precise point positioning
Abstract
Nowadays, GLONASS is providing CDMA signals on the third G3 frequency of two GLONASS-K1 and four GLONASS-M + satellites, making it possible for the joint use of GLONASS FDMA and CDMA signals for precise point positioning (PPP). However, there are ...
GNSS carrier phase time-variant observable-specific signal bias (OSB) handling: an absolute bias perspective in multi-frequency PPP
Abstract
In precise satellite clock estimation, the satellite clock offsets absorb the pseudorange and carrier phase time-variant hardware delays. The dissimilarity of the satellite clock estimated with observations at different frequencies is termed the ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image GPS Solutions

GPS Solutions Volume 27, Issue 2

Apr 2023

560 pages

ISSN:1080-5370

Issue’s Table of Contents

© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 06 March 2023

Accepted: 06 February 2023

Received: 07 August 2022

Author Tags

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

1
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 25 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Yuan HZhang ZHe XZhan W(2024)An improved estimation approach of GNSS multi-frequency code observable‑specific bias aided by geometry-free and ionospheric-free observationsGPS Solutions10.1007/s10291-024-01746-z28:4Online publication date: 16-Sep-2024
https://dl.acm.org/doi/10.1007/s10291-024-01746-z

View Options

View options

Media

Figures

Other

Tables

View Issue’s Table of Contents