Waveguide characterization and source localization in shallow water waveguides using the Prony method

Abstract

Horizontal samples of a point source in a shallow water waveguide are processed by the Prony method. First, when the source position is known, a high resolution estimation of the normal mode parameter Km (the horizontal component of mode wavenumber) can be obtained. Owing to the weak damping process, βm, the modal attenuation coefficient, can be obtained by using a modified Prony method. In this article, an ‘‘interval average and iterative’’ approach is proposed. Numerical examples illustrate that a 10−4 resolution of Km (150-Hz frequency) is provided by a 500-m data length, roughly an order of magnitude smaller than the data length required by the linear spectrum analysis technique. Second, when the source position is unknown but the waveguide characters (Km, βm) are known, the same procedure can be used for source position estimation. Some numerical examples in typical shallow water are presented.

Iterative high-resolution wavenumber inversion applied to broadband acoustic data

“…according to this algorithm, the zm coefficients are proved to be the zeros of a polynomial, whose coefficients are calculated using an autoregressive procedure based on the data vector Pω (0), … ,Pω (2M-1). In [18], this step is based on a burg algorithm [19] coupled to a minimization method devoted to the determination of the appropriate order of the method.…”

“…Focusing solely on underwater acoustics, wavenumber inversion was extensively investigated during the 1980s using Fourier and Hankel transforms [2]- [4] or correlation techniques [5]. later, high-resolution methods were developed such as the multiple signal classification (MUsIc) technique [6]- [9], the Prony method [10], and the more sophisticated EsPrIT algorithm [11], [12]. This latter approach is similar to the more general matrix-pencil method [13], [14].…”

Fault-Tolerant Matched-Field Processing in the Presence of Element Failures

“…The farfield data of a point source in shallow water waveguides using the normal modes can be modeled by the Prony method that is used to model data for equally spaced samples by the linear combination of damped exponentials. 21 It is assumed that L sensors are defective in the array where each sensor is equally spaced and the faulty sensors have been identified. The data for the faulty sensors are interpolated by the linear prediction algorithm.…”

Autoregressive model for high-resolution wavenumber estimation in a shallow water environment using a broadband source

“…For narrowband signals, the order can be selected when two close wavenumbers are well resolved for several SNR. 4,5 For a wideband analysis, as mode number increases with the frequency, both physical and mathematical pole numbers increase.…”

“…The subspace decomposition methods ESPRIT and MUSIC (Ref. 3) and parametric models, such as the Prony algorithm 4 and the autoregressive (AR) models, 5 have been proposed for modal identification in shallow water simulations and measurements in a narrow band context. In Ref.…”