The Uncertainty Of The Mathematical Theory Of Gnss Precise Positioning

With the development of GNSS, huge benefit has been produced. The traditional orientation pattern is unable to satisfy the requirement of the high precision orientation. Carrier phase measurement solves the problem in a certain extent. This paper makes researches on ambiguity estimation and circle slips detection based on the carrier phase measurement model using the uncertainty mathematics theory to solve those problems.At first, the traditional orientation model using pseudorange is introduced. With the characteristics of the predigesting matrix and QR analysis, a new algorithm has been found, so we create the static and dynamic models for the absolute orientation. The conclusion indicates that the difficulties are ambiguity estimation and circle slips.In the study of ambiguity estimation, we firstly make a summary of the traditional algorithms and analyze those deficiencies. The oversize condition-number of the matrix brings on the oversize searching area for the ambiguity. With the rough sets theory in uncertainty mathematics, the original theory named Rough Integer Mapping is brought forward to solve those problems. Searching algorithm with granularity changing is designed and predigests the topology of the ambiguity searching area. With RATIO test, the right ambiguity combinations could be confirmed quickly. The simulation indicates that the new algorithm could enhance the efficiency of ambiguity estimation obviously.As the pretreatment of the original data for the carrier phase orientation, the detection and adjustment of the circle slips, is important department of the RAIM. The mathematic characteristics of the carrier phase observation serials are analyzed firstly. Using Time Serial Analysis method and the pertinency information between the neighbor data, we get the conception of data correlation based on Fuzzy mathematics theory. Through analyzing the AR ( p )model, we get the range:3≤p≤5, and combine the three models using the data correlation theory. The simulation indicates that this new algorithm can get an effective result for detection and adjustment of cycle slips.