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A Fast Estimation Method for the Phase Difference Between Two Quasi-harmonic Signals for Real-Time Systems

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Abstract

We propose a new method of phase difference estimation between two quasi-harmonic signals with slowly varying parameters. The proposed method does not require the solution of the overdetermined systems of equations, and it may be calculated in real time. The majority of operations for their calculation can be carried out on fixed-point numbers, and that substantially simplifies algorithm realization on signal processor or FPGA. The method accuracy is near to the Cramer–Rao lower bound within the statistical error for signals with SNR is in the range from 0 to 40 dB. The advantage of the proposed method is the possibility of signal processing with slow frequency and amplitude modulation. We compare proposed method and the method based on sine-wave-fits by numerical simulation.

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Acknowledgements

The authors would like to thank the reviewers for their constructive comments and suggestions. The authors are grateful to A.A. Orlov for assisting with preparation of the manuscript. The theoretical part of the work was supported by the Russian Science Foundation Project # 15-47-0229715. The numerical simulation part of the work was supported by RFBR Project # 16-32-00447.

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  1. Volgograd State University, Universitetsky Prt., 100, Volgograd, Russian Federation

    Vyacheslav Ignatjev & Dmitry Stankevich

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  1. Vyacheslav Ignatjev
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  2. Dmitry Stankevich
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Correspondence to Dmitry Stankevich.

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Ignatjev, V., Stankevich, D. A Fast Estimation Method for the Phase Difference Between Two Quasi-harmonic Signals for Real-Time Systems. Circuits Syst Signal Process 36, 3854–3863 (2017). https://doi.org/10.1007/s00034-016-0484-3

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  • DOI: https://doi.org/10.1007/s00034-016-0484-3

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