Abstract

Depth discrimination is a key procedure in acoustic detection or target classification for low-frequency underwater sources. Conventional depth-discrimination methods use a vertical line array, which has disadvantage of poor mobility due to the size of the sensor array. In this paper, we propose a depth-discrimination method for low-frequency sources using a horizontal line array (HLA) of acoustic vector sensors based on mode extraction. First, we establish linear equations related to the modal amplitudes based on modal beamforming in the vector mode space. Second, we solve the linear equations by introducing the total least square algorithm and estimate modal amplitudes. Third, we select the power percentage of the low-order modes as the decision metric and construct testing hypotheses based on the modal amplitude estimation. Compared with a scalar sensor, a vector sensor improves the depth discrimination, because the mode weights are more appropriate for doing so. The presented linear equations and the solution algorithm allow the method to maintain good performance even using a relatively short HLA. The constructed testing hypotheses are highly robust against mismatched environments. Note that the method is not appropriate for the winter typical sound speed waveguide, because the characteristics of the modes differ from those in downward-refracting sound speed waveguide. Robustness analysis and simulation results validate the effectiveness of the proposed method.

Highlights

  • In underwater acoustics, how to discriminate between shallow sources and deep ones continues to be an active research area and is known as the problem of depth discrimination or classification

  • We addressed the problem of depth discrimination for low-frequency sources using an horizontal line array (HLA) of vector sensors

  • We derived an expression for beamforming in the vector mode space and established linear equations related to the modal amplitudes

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Summary

Introduction

How to discriminate between shallow sources and deep ones continues to be an active research area and is known as the problem of depth discrimination or classification. Because of (i) the dependence of depth estimation on range estimation and (ii) the well-known environmental mismatch problem, estimating source depth is generally not robust [2,3,4] To address this issue, Yang [4] proposed matched-mode processing (MMP) to estimate source depth independently of source range. Because it is difficult to estimate source depth effectively with a relatively short HLA, we instead consider the depth discrimination problem as a binary hypothesis test. We propose a method for source depth discrimination that uses an HLA of vector sensors and is based on mode extraction for sources with low-frequency line spectra. The originality of the present paper is reflected in two aspects, namely (i) the discriminator based on vector information and (ii) the proposed mode-extraction method.

Related Work
The Mode Extraction Method
Estimation of Modal Amplitudes Based on TLS
Source Depth Discrimination
Frameworks of Depth-Discrimination Methods
Power Percentage of Low-Order Modes
Power Percentage of Low-Order
Source Discrimation Based on Mode Extraction
Robustness Analysis
Influence of Number of the Sensor and the SNR on Performance
Influence of HLA Depth on Performance
Conditioning number number of Fversus of matrix
11. Performance evolution with thethe azimuth estimation
Contrast Experiment
Findings
Conclusions
Full Text
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