Abstract

The receiver hydrophone array is the signal front-end and plays an important role in matched field processing, which usually covers the whole water column from the sea surface to the bottom. Such a large aperture array is very difficult to realize. To solve this problem, an approach called matched field processing based on least squares with a small aperture hydrophone array is proposed, which decomposes the received acoustic fields into depth function matrix and amplitudes of the normal modes at the beginning. Then all the mode amplitudes are estimated using the least squares in the sense of minimum norm, and the amplitudes estimated are used to recalculate the received acoustic fields of the small aperture array, which means the recalculated ones contain more environmental information. In the end, lots of numerical experiments with three small aperture arrays are processed in the classical shallow water, and the performance of matched field passive localization is evaluated. The results show that the proposed method can make the recalculated fields contain more acoustic information of the source, and the performance of matched field passive localization with small aperture array is improved, so the proposed algorithm is proved to be effective.

Highlights

  • Matched field processing (MFP) is a kind of generalized beamforming which is widely used in the oceanic geometric and geoparameters inversion, underwater passive localization, noise restriction, virtual time reversal mirror, and so on [1,2,3,4]

  • The received fields of vertical linear array at each frequency can be expressed as a sum of individual modal contributions with the normal mode propagation model, and it is shown that the small aperture vertical array can only adequately sample the high order normal mode, and it is inadequate for the low order mode which contributes more

  • A method called matched field processing based on least squares with small aperture hydrophone array is proposed

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Summary

Introduction

Matched field processing (MFP) is a kind of generalized beamforming which is widely used in the oceanic geometric and geoparameters inversion, underwater passive localization, noise restriction, virtual time reversal mirror, and so on [1,2,3,4]. Hamson and Wilson have done some research on the effect of different layouts of the receiver arrays to MFP [5,12] In their works, the received fields of vertical linear array at each frequency can be expressed as a sum of individual modal contributions with the normal mode propagation model, and it is shown that the small aperture vertical array can only adequately sample the high order normal mode, and it is inadequate for the low order mode which contributes more. A new method called matched field processing based on least squares (LSMFP) with small aperture hydrophone array is proposed. It can localize the underwater acoustic source using a small aperture array without require lots of hydrophones.

Acoustic Fields with Normal Mode
Estimation of Mode Amplitudes by Least Squares
Matched Field Processing Based on Least Squares
Environmental Model
Results of Localization
Performance Analysis
Conclusions
Full Text
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