Abstract

With the increased availability of regional reference networks, Precise Point Positioning (PPP) can achieve fast ambiguity resolution (AR) and precise positioning by assimilating the satellite fractional cycle biases (FCBs) and atmospheric corrections derived from these networks. In such processing, the atmospheric corrections are usually treated as deterministic quantities. This is however unrealistic since the estimated atmospheric corrections obtained from the network data are random and furthermore the interpolated corrections diverge from the realistic corrections. This paper is dedicated to the stochastic modelling of atmospheric corrections and analyzing their effects on the PPP AR efficiency. The random errors of the interpolated corrections are processed as two components: one is from the random errors of estimated corrections at reference stations, while the other arises from the atmospheric delay discrepancies between reference stations and users. The interpolated atmospheric corrections are then applied by users as pseudo-observations with the estimated stochastic model. Two data sets are processed to assess the performance of interpolated corrections with the estimated stochastic models. The results show that when the stochastic characteristics of interpolated corrections are properly taken into account, the successful fix rate reaches 93.3% within 5 min for a medium inter-station distance network and 80.6% within 10 min for a long inter-station distance network.

Highlights

  • Precise Point Positioning (PPP) has the capability of providing centimeter or even millimeter positioning accuracy using a single dual-frequency global navigation satellite system (GNSS) receiver [1]

  • The satellites fractional cycle biases (FCBs) are computed using a regional network with 28 stations in North America on Day Of Year (DOY) 3, 2013 in order to have a better fit to the region [22]

  • We have developed a method for regional augmented PPP by using atmospheric corrections and their stochastic model derived from regional reference networks

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Summary

Introduction

Precise Point Positioning (PPP) has the capability of providing centimeter or even millimeter positioning accuracy using a single dual-frequency global navigation satellite system (GNSS) receiver [1]. Traditional PPP is based on real-valued ambiguity solutions and typically suffers from long convergence times. In order to shorten the convergence time, ambiguity resolution (AR) is necessary, and several approaches have been developed for this purpose in recent years [9,10,11,12]. If a regional network is available, the atmospheric (ionosphere and troposphere) corrections can be precisely derived from the network [15]. In such cases, an innovative technology called regional augmented PPP can be used so that the integer ambiguity resolution can be significantly accelerated using the precisely predicted ionospheric delays [16]

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