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The Divergence Analysis of Kalman Filter Phase Lock Loop and Unbiased Correction of Frequency

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China Satellite Navigation Conference (CSNC) 2018 Proceedings (CSNC 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 499))

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Abstract

In software receiver, the signal tracking is an important pre-step in demodulation of the satellite signals and positioning. The signals tracking is composed of the carrier tracking loop and the C/A code tracking loop, which can be used to track the carrier component and the C/A component. In this paper, the Kalman filter used in carrier tracking loop is studied in depth, and aimed at the phenomenon of divergence caused by the increasing phase-difference in the Kalman phase lock loop with the increase of the tracking time, the causes of this phenomenon is analyzed and the divergence function that can be used to predict the size of the divergence is posed. Then the tracking loop filter under Kalman adjusts the gain model frequency correction unbiased algorithm is put forward. Experiments show that the divergence function can correctly predict the divergence of the original tracking loop, and the divergence problem of standard Kalman filter can be solved. The same frequency and phase tracking of high stability and high accuracy is always kept in the carrier tracking loop by this method.

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Acknowledgments

The National Natural Science Foundation of China (Grant No. 41774037).

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Correspondence to Liwei Zhang .

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© 2018 Springer Nature Singapore Pte Ltd.

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Zhang, L., Zhao, D., Peng, S., Zhu, C., Li, Z. (2018). The Divergence Analysis of Kalman Filter Phase Lock Loop and Unbiased Correction of Frequency. In: Sun, J., Yang, C., Guo, S. (eds) China Satellite Navigation Conference (CSNC) 2018 Proceedings. CSNC 2018. Lecture Notes in Electrical Engineering, vol 499. Springer, Singapore. https://doi.org/10.1007/978-981-13-0029-5_41

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  • DOI: https://doi.org/10.1007/978-981-13-0029-5_41

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0028-8

  • Online ISBN: 978-981-13-0029-5

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