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The Striation-Correlation-Based Beamforming for Estimating the Green’s Function in a Shallow Water Waveguide

Chang Peng Liu

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

University of Chinese Academy of Sciences, Beijing 100049, P. R. China

E-mail Address: liuchangpeng18@mails.ucas.ac.cn

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Shi Hong Zhou

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

University of Chinese Academy of Sciences, Beijing 100049, P. R. China

E-mail Address: shih_zhou@mail.ioa.ac.cn

Corresponding author.

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Yu Bo Qi

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

E-mail Address: qyb@mail.ioa.ac.cn

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Xue Dong Zhang

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

E-mail Address: zxd@mail.ioa.ac.cn

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Di Zhang

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

University of Chinese Academy of Sciences, Beijing 100049, P. R. China

E-mail Address: zhangdi@mail.ioa.ac.cn

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, and

Xi Shan Yang

State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China

E-mail Address: oucyxs@163.com

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https://doi.org/10.1142/S2591728522400084Cited by:3 (Source: Crossref)

This article is part of the issue:

Special Issue on the Occasion of the 30th Anniversary of the Journal of Theoretical and Computational Acoustics
Edited by Michael D. Collins, Steffen Marburg and Andrew N. Norris

Abstract

In shallow water, there exist regular interference striations on the structured sound intensity pattern versus frequency and element location of a horizontal array. Beamforming along the striation with frequency-shifted pressure can improve the correlation among array signals, but the beam focusing performance is limited by the source spectrum (e.g. random phase spectrum generated from ship-radiated noise) and signal truncation. In this paper, the cross-correlation phase relationship among the array signals is deduced, and striation-based beamforming with such cross-correlated data can produce a similar directivity to the conventional beamforming, while the effect from signal truncation and source spectrum can be eliminated. This striation-correlation-based beamforming also outputs the signal corresponding to the Green’s function between the source and the reference array element, moreover, recovers the interference structure that characters the channel. The striation-based array signal processing also provides the proposed Greens function estimation method with the ability to work effectively under the condition of low signal-to-noise ratio. Simulation results are presented and performance variations related to signal frequency, signal-to-noise ratio, striation slope estimation error, element number and array aperture are also analyzed numerically.

Keywords:

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