Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias

The time-varying characteristic of the bias in the GPS code observation is investigated using triple-frequency observations. The method for estimating the combined code bias is presented and the twelve-month (1 January⁻31 December 2016) triple-frequency GPS data set from 114 International...

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Main Authors: Haojun Li, Jingxin Xiao, Weidong Zhu
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/11/4/428
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author Haojun Li
Jingxin Xiao
Weidong Zhu
author_facet Haojun Li
Jingxin Xiao
Weidong Zhu
author_sort Haojun Li
collection DOAJ
description The time-varying characteristic of the bias in the GPS code observation is investigated using triple-frequency observations. The method for estimating the combined code bias is presented and the twelve-month (1 January⁻31 December 2016) triple-frequency GPS data set from 114 International GNSS Service (IGS) stations is processed to analyze the characteristic of the combined code bias. The results show that the main periods of the combined code bias are 12, 8, 6, 4, 4.8 and 2.67 h. The time-varying characteristic of the combined code bias, which is the combination of differential code bias (DCB) (P1⁻P5) and DCB (P1⁻P2), shows that the real satellite DCBs are also time-varying. The difference between the two sets of the computed constant parts of the combined code bias, with the IGS DCB products of DCB (P1⁻P2) and DCB (P1⁻P2) and the mean of the estimated 24-h combined code bias series, further show that the combined code bias cannot be replaced by the DCB (P1⁻P2) and DCB (P1⁻P5) products. The time-varying part of inter-frequency clock bias (IFCB) can be estimated by the phase and code observations and the phase based IFCB is the combinations of the triple-frequency satellite uncalibrated phase delays (UPDs) and the code-based IFCB is the function of the DCBs. The performances of the computed the IFCB with different methods in single point positioning indicate that the accuracy for the constant part of the combined code bias is reduced, when the IGS DCB products are used to compute. These performances also show that the time-varying part of IFCB estimated with phase observation is better than that of code observation. The predicted results show that 98% of the predicted constant part of the combined code bias can be corrected and the attenuation of the predicted accuracy is much less evident. However, the accuracy of the predicted time-varying part decreases significantly with the predicted time.
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spelling doaj.art-de079e80b48e49aa8c6c7c43d49ea76e2022-12-21T17:15:22ZengMDPI AGRemote Sensing2072-42922019-02-0111442810.3390/rs11040428rs11040428Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code BiasHaojun Li0Jingxin Xiao1Weidong Zhu2College of Surveying and Geo-Informatics, Tongji University, Shanghai 200092, ChinaCollege of Surveying and Geo-Informatics, Tongji University, Shanghai 200092, ChinaCollege of Marine Sciences, Shanghai Ocean University, Shanghai 201306, ChinaThe time-varying characteristic of the bias in the GPS code observation is investigated using triple-frequency observations. The method for estimating the combined code bias is presented and the twelve-month (1 January⁻31 December 2016) triple-frequency GPS data set from 114 International GNSS Service (IGS) stations is processed to analyze the characteristic of the combined code bias. The results show that the main periods of the combined code bias are 12, 8, 6, 4, 4.8 and 2.67 h. The time-varying characteristic of the combined code bias, which is the combination of differential code bias (DCB) (P1⁻P5) and DCB (P1⁻P2), shows that the real satellite DCBs are also time-varying. The difference between the two sets of the computed constant parts of the combined code bias, with the IGS DCB products of DCB (P1⁻P2) and DCB (P1⁻P2) and the mean of the estimated 24-h combined code bias series, further show that the combined code bias cannot be replaced by the DCB (P1⁻P2) and DCB (P1⁻P5) products. The time-varying part of inter-frequency clock bias (IFCB) can be estimated by the phase and code observations and the phase based IFCB is the combinations of the triple-frequency satellite uncalibrated phase delays (UPDs) and the code-based IFCB is the function of the DCBs. The performances of the computed the IFCB with different methods in single point positioning indicate that the accuracy for the constant part of the combined code bias is reduced, when the IGS DCB products are used to compute. These performances also show that the time-varying part of IFCB estimated with phase observation is better than that of code observation. The predicted results show that 98% of the predicted constant part of the combined code bias can be corrected and the attenuation of the predicted accuracy is much less evident. However, the accuracy of the predicted time-varying part decreases significantly with the predicted time.https://www.mdpi.com/2072-4292/11/4/428hardware delay biasuncalibrated phase delayGPS satellite clockprecise point positioninginter-frequency clock bias
spellingShingle Haojun Li
Jingxin Xiao
Weidong Zhu
Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
Remote Sensing
hardware delay bias
uncalibrated phase delay
GPS satellite clock
precise point positioning
inter-frequency clock bias
title Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
title_full Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
title_fullStr Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
title_full_unstemmed Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
title_short Investigation and Validation of the Time-Varying Characteristic for the GPS Differential Code Bias
title_sort investigation and validation of the time varying characteristic for the gps differential code bias
topic hardware delay bias
uncalibrated phase delay
GPS satellite clock
precise point positioning
inter-frequency clock bias
url https://www.mdpi.com/2072-4292/11/4/428
work_keys_str_mv AT haojunli investigationandvalidationofthetimevaryingcharacteristicforthegpsdifferentialcodebias
AT jingxinxiao investigationandvalidationofthetimevaryingcharacteristicforthegpsdifferentialcodebias
AT weidongzhu investigationandvalidationofthetimevaryingcharacteristicforthegpsdifferentialcodebias