GNSS Precise Point Positioning Algorithm Based on Parameter Equivalent Reduction Principle
The standard GNSS combined PPP algorithm cannot be used satisfactorily in the real-time and high frequency precise positioning because of its low compute efficiency. A new algorithm based on the parameter equivalent reduction principle is proposed. First,
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GNSS Precise Point Positioning Algorithm Based on Parameter Equivalent Reduction Principle Guanwen Huang, Yuanxi Yang, Chao Liu, Qin Zhang and Shuangcheng Zhang
Abstract The standard GNSS combined PPP algorithm cannot be used satisfactorily in the real-time and high frequency precise positioning because of its low compute efficiency. A new algorithm based on the parameter equivalent reduction principle is proposed. First, the observations equation and the normal equation which belong to the single navigation system can be solved independently. Second, the normal equations of overlapping parameters between the different systems can be obtained by using parameter equivalent reduction principle. At last, the combined PPP resolutions can be computed easily by using the Least Squares method. The proposed algorithm can improve the calculating efficiency immensely. In addition, an adaptively combined method which can automatically adjusts the contributed weight of different GNSS systems is also proposed in this paper. The numerical examples using the data set of three IGS stations, show that the PPP precisions and efficiencies based on the proposed model have been improved significantly compared with those of standard model. This proposed principle can also be applied in the GNSS precise satellite clock determination and the indifference baseline network adjustment plus the GNSS time offset monitoring.
Keywords Parameter reduction PPP Combined positioning GPS/GLONASS
G. Huang (&) Q. Zhang S. Zhang College of Geology Engineering and Geomantic, Chang’an University, Xi’an 710054 Shaanxi, China e-mail: [email protected] Y. Yang China National Administration of GNSS and Applications, Beijing 100088, China Y. Yang State Key Laboratory of Geographic Information Engineering, Yanta Road 126, Xi’an 710054, China C. Liu College of Geology Engineering and Geomantic, Chang0 an University, Xi0 an 710054 Shaanxi, China
J. Sun et al. (eds.), China Satellite Navigation Conference (CSNC) 2013 Proceedings, Lecture Notes in Electrical Engineering 244, DOI: 10.1007/978-3-642-37404-3_38, Springer-Verlag Berlin Heidelberg 2013
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38.1 Introduction With the official start using of Chinese BDS satellite navigation system, the amount of global satellite navigation system (GNSS) which are providing services has increased from two (GPS of America and GLONASS of Russia) to three (GPS/ GLONASS/BDS). There are more than 70 worked satellites now and with the complete of European Galileo system (Galileo), the total amount of GNSS satellites will exceed 100, the majority of which are multi-frequency worked satellites. GNSS has proceeded to a new age of new style with multiple constellations and frequencies [1, 2]. With the modernized development of GNSS, the precision of multiple systems combined navigation positioning and timing is higher and higher. The developing characters of GNSS have been changed gradually from the single GPS positioning with posterior relative positioning in the early period to th
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