Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity

Abstract A common practice adopted for the pseudorange bias estimation and calibration assumes that Global Navigation Satellite System satellite-dependent pseudorange biases vary gently over time. Whereupon satellite pseudorange biases are routinely estimated and provided as the products with low te...

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Main Authors: Ke Su, Guoqiang Jiao
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Satellite Navigation
Subjects:
Online Access:https://doi.org/10.1186/s43020-023-00103-8
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author Ke Su
Guoqiang Jiao
author_facet Ke Su
Guoqiang Jiao
author_sort Ke Su
collection DOAJ
description Abstract A common practice adopted for the pseudorange bias estimation and calibration assumes that Global Navigation Satellite System satellite-dependent pseudorange biases vary gently over time. Whereupon satellite pseudorange biases are routinely estimated and provided as the products with low temporal resolution, e.g., hourly or daily, by the agencies. The story sounds unquestionably perfect under the acquainted assumption. To validate the inadequacy of the above hypothesis we herein present an approach to the estimate the BeiDou Navigation Satellite System (BDS) pseudorange biases with high temporal resolution. Its feasibility, affecting factors, and necessity are discussed. Concretely, the Geometry-Free function models are first constructed to retrieve the linear combination of the pseudorange biases; then the pseudorange Observable-specific Signal Bias (OSB) values with respect to baseline frequencies (e.g., BDS C2I/C6I) are estimated along with the ionosphere modeling; subsequently, all multi-frequency pseudorange OSBs are determined by using the ionospheric information with constraint conditions; finally, the possible Differential Code Bias sets are attainable with the estimated pseudorange OSBs. Using the observation data of four months when the estimated BDS pseudorange biases are stable, their reliability is demonstrated with the stability at the level of sub-nanosecond and the BeiDou-3 Navigation Satellite System (BDS-3) values more stable than that of BeiDou-2 Navigation Satellite System (BDS-2). The comparison between the estimated pseudorange biases and the Chinese Academy of Sciences products reveals that the accuracy of the estimated pseudorange biases is 0.2–0.4 ns. Moreover, the large magnitude of the short-term pseudorange bias variation in the tens of nanoseconds for the BDS-2 and BDS-3 are found in years 2021 and 2022, which are affected by two types of the satellite flex power for the BDS-2 and BDS-3, respectively. We stress that it’s necessary to estimate the BDS pseudorange biases with high temporal resolution in the case of the satellite flex power and the products currently provided by the agencies cannot reflect the true quantity under the circumstance.
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spelling doaj.art-4a8484c8e3c44781a78a5357a0004c762023-07-09T11:27:25ZengSpringerOpenSatellite Navigation2662-92912662-13632023-06-014112110.1186/s43020-023-00103-8Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessityKe Su0Guoqiang Jiao1Department of Space Information, Space Engineering UniversityUniversity of Chinese Academy of SciencesAbstract A common practice adopted for the pseudorange bias estimation and calibration assumes that Global Navigation Satellite System satellite-dependent pseudorange biases vary gently over time. Whereupon satellite pseudorange biases are routinely estimated and provided as the products with low temporal resolution, e.g., hourly or daily, by the agencies. The story sounds unquestionably perfect under the acquainted assumption. To validate the inadequacy of the above hypothesis we herein present an approach to the estimate the BeiDou Navigation Satellite System (BDS) pseudorange biases with high temporal resolution. Its feasibility, affecting factors, and necessity are discussed. Concretely, the Geometry-Free function models are first constructed to retrieve the linear combination of the pseudorange biases; then the pseudorange Observable-specific Signal Bias (OSB) values with respect to baseline frequencies (e.g., BDS C2I/C6I) are estimated along with the ionosphere modeling; subsequently, all multi-frequency pseudorange OSBs are determined by using the ionospheric information with constraint conditions; finally, the possible Differential Code Bias sets are attainable with the estimated pseudorange OSBs. Using the observation data of four months when the estimated BDS pseudorange biases are stable, their reliability is demonstrated with the stability at the level of sub-nanosecond and the BeiDou-3 Navigation Satellite System (BDS-3) values more stable than that of BeiDou-2 Navigation Satellite System (BDS-2). The comparison between the estimated pseudorange biases and the Chinese Academy of Sciences products reveals that the accuracy of the estimated pseudorange biases is 0.2–0.4 ns. Moreover, the large magnitude of the short-term pseudorange bias variation in the tens of nanoseconds for the BDS-2 and BDS-3 are found in years 2021 and 2022, which are affected by two types of the satellite flex power for the BDS-2 and BDS-3, respectively. We stress that it’s necessary to estimate the BDS pseudorange biases with high temporal resolution in the case of the satellite flex power and the products currently provided by the agencies cannot reflect the true quantity under the circumstance.https://doi.org/10.1186/s43020-023-00103-8Beidou navigation satellite system (BDS)Pseudorange observable-specific signal bias (OSB)Differential code bias (DCB)Geometry-free (GF) function modelSatellite flex power
spellingShingle Ke Su
Guoqiang Jiao
Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
Satellite Navigation
Beidou navigation satellite system (BDS)
Pseudorange observable-specific signal bias (OSB)
Differential code bias (DCB)
Geometry-free (GF) function model
Satellite flex power
title Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
title_full Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
title_fullStr Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
title_full_unstemmed Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
title_short Estimation of BDS pseudorange biases with high temporal resolution: feasibility, affecting factors, and necessity
title_sort estimation of bds pseudorange biases with high temporal resolution feasibility affecting factors and necessity
topic Beidou navigation satellite system (BDS)
Pseudorange observable-specific signal bias (OSB)
Differential code bias (DCB)
Geometry-free (GF) function model
Satellite flex power
url https://doi.org/10.1186/s43020-023-00103-8
work_keys_str_mv AT kesu estimationofbdspseudorangebiaseswithhightemporalresolutionfeasibilityaffectingfactorsandnecessity
AT guoqiangjiao estimationofbdspseudorangebiaseswithhightemporalresolutionfeasibilityaffectingfactorsandnecessity