Reverberation invariant separation based on 3D-Hankel matrix construction

Bo GAO; Tianyi ZHUANG; Jie PANG; Dazhi GAO; Ning WANG

doi:10.11990/jheu.202506026

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Reverberation invariant separation based on 3D-Hankel matrix construction

Research Article | 更新时间：2026-03-31

- Reverberation invariant separation based on 3D-Hankel matrix construction
- Journal of Harbin Engineering University Vol. 46, Issue 8, Pages: 1530-1537(2025)
- 作者机构：
  
  中国海洋大学信息科学与工程学部，山东青岛 266100
- 作者简介：
- 基金信息：
- DOI：10.11990/jheu.202506026
  CLC： O427.2
- Received：10 June 2025，
  
  Online First：24 June 2025，
  
  Published：05 August 2025
- 稿件说明：
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Bo GAO, Tianyi ZHUANG, Jie PANG, et al. Reverberation invariant separation based on 3D-Hankel matrix construction[J]. Journal of Harbin Engineering University, 2025, 46(8): 1530-1537.
DOI：

Bo GAO, Tianyi ZHUANG, Jie PANG, et al. Reverberation invariant separation based on 3D-Hankel matrix construction[J]. Journal of Harbin Engineering University, 2025, 46(8): 1530-1537. DOI： 10.11990/jheu.202506026.

摘要

为解决浅海低频主动声呐探测系统中混响信号与目标回波分离的难题，本文基于微扰近似提出了浅海混响不变量的概念，并提出了一种基于3D-Hankel矩阵构造的混响不变量提取方法。该方法利用3D-Hankel矩阵的低秩近似特性，结合奇异值分解技术，可以稳健准确地提取浅海混响干涉结构，即浅海混响不变量。结果表明:该方法有效减少了噪声和海洋环境不确定性对分离过程的不利影响，成功分离浅海混响干涉条纹。本文方法与传统低秩分解算法相比，分离出更加清晰稳定的条纹结构，有助于增强混响抑制效果。

Abstract

To address the problem of separating reverberation signals from target echoes in shallow-water low-frequency active sonar detection systems

this paper introduces a methodology for extracting shallow-water reverberation invariants based on perturbation approximation

employing 3D-Hankel matrix construction. The method employs the low-rank approximation characteristics of 3D-Hankel matrices and singular value decomposition techniques to reliably and accurately extract the interference structure of shallow-water reverberation

specifically the shallow-water reverberation invariants. The findings suggest that this approach effectively reduces the adverse effects of noise and marine environmental uncertainties on the separation process

achieving successful separation of shallow-water reverberation interference striations. In comparison with the conventional low-rank decomposition algorithm

the method outlined in this paper has the capacity to discern a more distinct and consistent striation structure

which is advantageous for augmenting the echo suppression effect.

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references

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