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Chirp Rates Estimation for Multiple LFM Signals by DPT–SVD

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Abstract

To address the problem of fast and accurate chirp rates estimation for multiple linear frequency-modulated (LFM) signals, we propose a chirp rates estimation method by discrete polynomial transform (DPT) and singular value decomposition (SVD). Firstly, DPT is performed to convert multiple LFM signals to a mixed signal which contains the corresponding complex sinusoidal signals. Secondly, the mixed signal by DPT is constructed as a Hankel matrix, and the complex sinusoidal signals are extracted separately by SVD. The chirp rates estimation of multiple LFM signals is simplified to multiple frequencies estimation by DPT–SVD. Finally, we adopt periods truncation to reduce the spectrum leakage and a spectral interpolation is introduced to estimate the frequency for improving chirp rates estimation accuracy. Theoretical analysis and simulation results demonstrate that the proposed method bears a relatively low complexity and its estimation performance basically coincides with the Cramer–Rao lower bounds. Measured data are provided to verify the effectiveness of the proposed method.

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Data Availability

The datasets analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by the National Key Research and Development Program of China (Grant No. 2018YFE0206500), the National Natural Science Foundation of China (Grant No. 62101155) and the National Natural Science Foundation of China ( Grant No. 62071140). We are grateful to the editor and the anonymous reviewers for their helpful suggestions to improve the quality of the paper.

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Author notes

  1. Liangang Qi, Zhenheng Shen, Qiang Guo, Yani Wang and Kaliuzhnyi Mykola have contributed equally to this work.

Authors and Affiliations

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin, 150001, China

    Liangang Qi, Zhenheng Shen, Qiang Guo & Yani Wang

  2. Key Laboratory of Advanced Ship Communication and Information Technology, Harbin Engineering University, Harbin, 150001, China

    Liangang Qi, Zhenheng Shen, Qiang Guo, Yani Wang & Kaliuzhnyi Mykola

  3. Advanced Research Laboratory, Kharkiv National University of Radio Electronics, Kharkiv, 61166, Ukraine

    Kaliuzhnyi Mykola

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  1. Liangang Qi
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  2. Zhenheng Shen
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  4. Yani Wang
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  5. Kaliuzhnyi Mykola
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Correspondence to Yani Wang.

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Qi, L., Shen, Z., Guo, Q. et al. Chirp Rates Estimation for Multiple LFM Signals by DPT–SVD. Circuits Syst Signal Process 42, 2804–2827 (2023). https://doi.org/10.1007/s00034-022-02225-x

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  • DOI: https://doi.org/10.1007/s00034-022-02225-x

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