Abstract

According to the advantages of the precise point positioning (PPP) and the double-differenced (DD) model based algorithm, a new method for the integration of DD integer ambiguity resolution into PPP is presented. This method uses the undifferenced ambiguity estimated with PPP computation and the DD ambiguity generated from the DD model based algorithm to realize the PPP ambiguity fixing. In the presented method, the selection of the undifferenced ambiguity bases on the ratio test of the DD ambiguity and the ratio values based weight is used in PPP processing. This ensures the quality of the used undifferenced ambiguity. To validate the presented method, two experiments are implemented using the ten days (11 to 20 August 2014) data from local and regional reference stations and the moved two receivers. The results of the presented strategy show that improvements are achieved in all three coordinate components. The 1-h, 2-h, and 4-h PPP results indicate that the mean relative improvements were about 19%, 18%, and 15% for north, east, and up components. These results also show that prominent improvements of 29%, 31%, and 25% for north, east, and up components were obtained when the ratio values based weight was used. The application of the presented method in the displacement monitoring was implemented with the experiment and it showed that the PPP estimation computed with the presented strategy benefits local or regional displacement monitoring and improves the detecting ability for displacement.

Highlights

  • Introduction of the DoubleDifferenced Ambiguity Resolution into Precise Point PositioningReceived: 5 October 2018; Accepted: 7 November 2018; Published: 9 November 2018 AbstractAccording to the advantages of the precise point positioning (PPP) and the double-differenced (DD) model based algorithm, a new method for the integration of DD integer ambiguity resolution into PPP is presented

  • Equation (3) shows that the fractional cycle bias (FCB) is removed and a DD ambiguity is generated after a SD ionosphere-free combination (IFC) real-value ambiguity from a reference station or other user was introduced during PPP processing

  • Once an SD wide lane (WL) and IFC ambiguities from a reference station or another user are introduced in an IFC observation and PPP computation, a new DD IFC ambiguity is generated

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Summary

Introduction

It has been more than twenty years since precise point positioning (PPP) was proposed in 1997 [1]. The estimated parameters are reduced to strengthen the geometry of the solution and realize the fast initialization of PPP positioning Different from these PPP strategies, all the common satellite and receiver errors are removed in the double-differenced (DD) model. It is very meaningful and useful, if the advantage of the DD algorithm is used to improve the PPP ambiguity resolution (AR) Based on this consideration, a new strategy for introducing the DD integer ambiguity resolution into PPP processing is presented to obtain the high-precision PPP coordinate estimations. After the three steps mentioned above, the PPP ambiguity is fixed through fixing of the DD ambiguity Using this strategy, the high-precision PPP coordinate of reference station and user or two users are obtained.

Mathematical Models
PPP AR and Positioning
PPP Solutions
Conclusions
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