Sliding window single-frequency real time precise point positioning algorithm with epoch constraints

doi:10.11947/j.AGCS.2022.20210207

Abstract

Abstract: To solve the rank deficiency problem of single-frequency precise point positioning (PPP) caused by calculating ionospheric delay simultaneously, an algorithm using multi-epoch observations is proposed in this paper. Based on the characteristic that the ambiguity is invariable without cycle slip, only one ambiguity parameter is set in the multi-epoch joint data, so as to solve the rank deficiency without the constraint of external prior information. In addition, the time correlation between parameters and observations are considered, and the square root information filtering (SRIF) with additional constraints to some parameters between epochs is utilized to overcome the ill-conditioned nature and obtain more reliable results. 14 days observation data from 15 IGS stations are used in the experiment,the static positioning accuracy is better than 3 cm, and the simulated dynamic solution is 1.5 dm. Compared with the single-frequency PPP method which estimates the ionospheric delay, the convergence speed is increased by 24%, and approximately reaches the level of the dual-frequency ionospheric-free PPP algorithm. The positioning accuracy is improved by 30%, and especially a significant increase in the vertical component.

Key words: multi-epoch recursion algorithm, single-frequency precise point positioning, constraints, ill condition, ionospheric delay

CLC Number:

P228

YANG Kaichun, LV Zhiping, LI Linyang, KUANG Yingcai, XU Wei, ZHENG Xi. Sliding window single-frequency real time precise point positioning algorithm with epoch constraints[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(5): 648-657.

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