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Noise-Resistant Estimation Algorithm for TDOA, FDOA and Differential Doppler Rate in Passive Sensing

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Abstract

This paper addresses the joint time difference of arrival (TDOA), frequency difference of arrival (FDOA) and differential Doppler rate estimation problem for high-speed maneuvering targets in passive location systems, involving linear range migration (LRM), quadratic range migration (QRM) and linear Doppler frequency migration (LDFM) within observation time. A noise-resistant estimation algorithm based on second-order keystone transform (SKT) and non-uniform fast Fourier transform (NUFFT) is proposed. After QRM correction via SKT, a phase compensation function is constructed to eliminate LRM and estimate the FDOA. Then, NUFFT is used to remove LDFM and realize the joint estimation of TDOA and differential Doppler rate. Comparisons with several relatively new algorithms indicate that the proposed algorithm can obtain a good trade-off between computational cost and estimation performance. Extensive numerical examples, analysis of computational complexity and estimation performance can validate the effectiveness of the proposed method.

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Acknowledgements

The authors would like to thank the Editorial Board and anonymous Reviewers for their careful reading and constructive comments which provide an important guidance for our paper writing and research work. This work was supported by the National Natural Science Foundation of China under Grant 61703433.

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Authors and Affiliations

  1. PLA Strategic Support Force Information Engineering University, Zhengzhou, China

    Zhixin Liu, Rui Wang & Yongjun Zhao

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  1. Zhixin Liu
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  2. Rui Wang
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  3. Yongjun Zhao
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Correspondence to Zhixin Liu.

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Liu, Z., Wang, R. & Zhao, Y. Noise-Resistant Estimation Algorithm for TDOA, FDOA and Differential Doppler Rate in Passive Sensing. Circuits Syst Signal Process 39, 4155–4173 (2020). https://doi.org/10.1007/s00034-020-01364-3

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