Further Developments of VPPP Algorithms with Multiple Antennas

Y. Karatsu, A. Mouri, Y. Kubo and S. Sugimoto

Abstract: In this paper, we improve the previous VPPP algorithms and present new VPPP algorithms by applying the double difference for GNSS observables by multiple antennas (receivers). First of all, GR models for the double difference observables are shown which are similar to the GR models for the relative positioning algorithms, but both antennas ’positions are unknown. Then we derive the Kalman filtering algorithms for recursive estimation of all antennas’ positions and double difference integer ambiguity of all carrier phases in GNSS observables. Then using the geometric constraints for all antennas’ positions, we derive the algorithms of updating the estimated parameters including antennas’ positions and integer ambiguities. Simultaneously we consider the computational algorithms for so-called GNSS Gyro by estimating the baseline vectors between each two antennas disposed in a plane. Finally we show the experimental results of the proposed VPPP algorithm comparing with the previous VPPP algorithm.
Published in: Proceedings of the 28th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2015)
September 14 - 18, 2015
Tampa Convention Center
Tampa, Florida
Pages: 1181 - 1192
Cite this article: Karatsu, Y., Mouri, A., Kubo, Y., Sugimoto, S., "Further Developments of VPPP Algorithms with Multiple Antennas," Proceedings of the 28th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2015), Tampa, Florida, September 2015, pp. 1181-1192.
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