Generalized-Positioning for Mixed-Frequency of Mixed-GNSS and Its Preliminary Applications
Modernized GPS and GLONASS, together with new GNSS systems, BeiDou and Galileo, offer code and phase ranging signals in three or more carriers. Traditionally, dual-frequency code and/or phase GPS measurements are linearly combined to eliminate effects of
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Generalized-Positioning for MixedFrequency of Mixed-GNSS and Its Preliminary Applications Shengfeng Gu, Chuang Shi, Yidong Lou, Yanming Feng and Maorong Ge
Abstract Modernized GPS and GLONASS, together with new GNSS systems, BeiDou and Galileo, offer code and phase ranging signals in three or more carriers. Traditionally, dual-frequency code and/or phase GPS measurements are linearly combined to eliminate effects of ionosphere delays in various positioning and analysis. This typical treatment method has imitations in processing signals at three or more frequencies from more than one system and can be hardly adapted itself to cope with the booming of various receivers with a broad variety of singles. In this contribution, a generalized-positioning model that the navigation system independent and the carrier number unrelated is promoted, which is suitable for both single- and multi-sites data processing. For the synchronization of different signals, uncalibrated signal delays (USD) are more generally defined to compensate the signal specific offsets in code and phase signals respectively. In addition, the ionospheric delays are included in the parameterization with an elaborate S. Gu (&) C. Shi Y. Lou GNSS Research Center, Wuhan University, 129 Luoyu Road, Wuhan 430079, China e-mail: [email protected] C. Shi e-mail: [email protected] Y. Lou e-mail: [email protected] C. Shi State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, 129 Luoyu Road, Wuhan 430079, China Y. Feng Faculty of Information Technology, Queensland University of Technology, 2 George Street, Brisbane, QLD Q4001, Australia e-mail: [email protected] M. Ge Helmholz Centre Potsdam, German Research Centre for Geosciences (GFZ), Telegrafenberg, 14473 Potsdam, Germany e-mail: [email protected]
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_35, Ó Springer-Verlag Berlin Heidelberg 2013
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consideration. Based on the analysis of the algebraic structures, this generalizedpositioning model is further refined with a set of proper constrains to regularize the datum deficiency of the observation equation system. With this new model, uncalibrated signal delays (USD) and ionospheric delays are derived for both GPS and BeiDou with a large dada set. Numerical results demonstrate that, with a limited number of stations, the uncalibrated code delays (UCD) are determinate to a precision of about 0.1 ns for GPS and 0.4 ns for BeiDou signals, while the uncalibrated phase delays (UPD) for L1 and L2 are generated with 37 stations evenly distributed in China for GPS with a consistency of about 0.3 cycle. Extra experiments concerning the performance of this novel model in point positioning with mixed-frequencies of mixed-constellations is analyzed, in which the USD parameters are fixed with our generated values. The results are evaluated in terms of both positioning accuracy and convergence time.
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