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Focusing Multireceiver SAS Data Based on the Fourth-Order Legendre Expansion

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Abstract

Using Legendre polynomials and the derivation method of the implicit function, this paper proposes a range-Doppler algorithm for multireceiver synthetic aperture sonar. Based on Legendre polynomials, the two-way slant range is first expanded into a power series with respect to the slow time. Then, the derivation method of the implicit function is exploited to deduce the point of stationary phase and point target reference spectrum (PTRS). Based on this PTRS, the paper presents an imaging algorithm, which uses the range-dependent sub-block processing method to cancel the space-variant coupling between the range and azimuth dimensions. Simulation results and real data processing are presented to validate the proposed method.

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Acknowledgements

This work is supported financially by the National Natural Science Foundation of China (61601473) and the National Key Laboratory Foundation of China (9140C290401150C29132). The authors thank LetPub (www.LetPub.com) for its linguistic assistance during the preparation of this manuscript.

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Authors and Affiliations

  1. Laboratory of Underwater Acoustics, Zhanjiang, 524022, People’s Republic of China

    Xuebo Zhang

  2. The Wisdom Education, Zhanjiang, 524022, People’s Republic of China

    Peixuan Yang

  3. No. 10 Institute, Electronics Technology Group Corporation, Chengdu, 610036, People’s Republic of China

    Xuntao Dai

Authors
  1. Xuebo Zhang
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  2. Peixuan Yang
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  3. Xuntao Dai
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Correspondence to Xuebo Zhang.

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Zhang, X., Yang, P. & Dai, X. Focusing Multireceiver SAS Data Based on the Fourth-Order Legendre Expansion. Circuits Syst Signal Process 38, 2607–2629 (2019). https://doi.org/10.1007/s00034-018-0982-6

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  • DOI: https://doi.org/10.1007/s00034-018-0982-6

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