Abstract
Based on the finiteness of normal modes that can propagate over long distances in an ocean waveguide, a waveguide invariant estimation method by combining β-warping transform operator and singular value decomposition is proposed in this letter. This method only needs to process the one-dimensional broadband acoustic intensity spectrum received by a single hydrophone and does not require any prior information of marine environmental parameters. Simulations and experiment verify the effectiveness of the method.
Highlights
The concept of waveguide invariant proposed by Chuprov1 describes the dispersion characteristics of acoustic normal modes in an ocean waveguide
Based on the finiteness of normal modes that can propagate over long distances in an ocean waveguide, a waveguide invariant estimation method by combining b-warping transform operator and singular value decomposition is proposed in this letter
Considering that only a limited number of normal modes can be propagated over long distances in shallow water, a method called waveguide invariant estimation based on finiteness of propagating modes (FPM-b) is proposed to directly estimate waveguide invariant from 1-D broadband acoustic intensity by combining b-warping transform9 and singular value decomposition (SVD)
Summary
The concept of waveguide invariant proposed by Chuprov describes the dispersion characteristics of acoustic normal modes in an ocean waveguide. In many situations, only one-dimensional (1-D) broadband acoustic intensity can be observed, such as in some test occasions with a single hydrophone or vertical array receiving with a fixed distance to the sound source In these situations, the traditional image processing based methods for waveguide invariant estimation are no longer applicable, and it is necessary to estimate the waveguide invariant from 1-D broadband acoustic intensity directly. Once the nonlinearity has been suppressed by an appropriate b, the interference spectrum can be approximated by a harmonic, and the broadband acoustic intensity after b-warping transform can be expressed as the superposition of different harmonics. The rank of the Hankel matrix is minimum when the warped acoustic intensity can be expressed as the superposition of different harmonics, which is the key point of the FPM-b method.
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