Improving the resolution of underwater acoustic image measurement by deconvolution

Abstract The conventional beamforming (CBF) map of underwater acoustic image measurement can be expressed as a convolution of the source distribution and the response of the beamformer to a point source, defined as the beam pattern or the point spread function (PSF). By deconvolving the CBF beamformer’s map, the distribution of the actual sources with a clean beam map can be obtained to improve the resolution. In this paper, the deconvolved conventional beamforming (dCv) is applied to underwater acoustic image measurement to improve the accuracy of sound source localization. Due to the point spread function of the array in near field is dependent on the focused point, which means that the PSF is shift variant, so it is necessary to use shift-variant deconvolution method. In this paper, an extended Richardson-Lucy (Ex-RL) algorithm is applied to the two-dimensional shift-variant deconvolution acoustic image measurement problem to improve resolution. The method is compared with the original-RL, classical deconvolution approach for the mapping of acoustic sources (DAMAS) and non-negative least squares (NNLS). The simulation and the experiment results verify the effectiveness of the algorithm.

[1]  P. Stoica,et al.  Sparsity constrained deconvolution approaches for acoustic source mapping. , 2008, The Journal of the Acoustical Society of America.

[2]  Thomas F. Brooks,et al.  A Deconvolution Approach for the Mapping of Acoustic Sources (DAMAS) Determined from Phased Microphone Arrays , 2006 .

[3]  T. C. Yang,et al.  Deconvolved Conventional Beamforming for a Horizontal Line Array , 2018, IEEE Journal of Oceanic Engineering.

[4]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[5]  Finn Jacobsen,et al.  Deconvolution for the localization of sound sources using a circular microphone array. , 2013, The Journal of the Acoustical Society of America.

[6]  Martin S. Andersen,et al.  Improving the efficiency of deconvolution algorithms for sound source localization. , 2015, The Journal of the Acoustical Society of America.

[7]  L. Lucy An iterative technique for the rectification of observed distributions , 1974 .

[8]  Jérôme Antoni,et al.  Acoustic source identification: Experimenting the ℓ1 minimization approach , 2013 .

[9]  Shefeng Yan,et al.  Robust Minimum Sidelobe Beamforming for Spherical Microphone Arrays , 2011, IEEE Transactions on Audio, Speech, and Language Processing.

[10]  Jian Li,et al.  Beampattern Synthesis via a Matrix Approach for Signal Power Estimation , 2007, IEEE Transactions on Signal Processing.

[11]  Min Zhu,et al.  Improvement of sound source localization in a finite duct using beamforming methods , 2016 .

[12]  Xun Liu,et al.  Improving the Efficiency of DAMAS for Sound Source Localization via Wavelet Compression Computational Grid , 2016, ArXiv.

[13]  Pieter Sijtsma,et al.  Using Phased Array Beamforming to Identify Broadband Noise Sources in a Turbofan Engine , 2010 .

[14]  Shefeng Yan,et al.  Optimal Modal Beamforming for Spherical Microphone Arrays , 2011, IEEE Transactions on Audio, Speech, and Language Processing.

[15]  William H. Richardson,et al.  Bayesian-Based Iterative Method of Image Restoration , 1972 .

[16]  Ali Mohammad-Djafari,et al.  Robust Bayesian super-resolution approach via sparsity enforcing a priori for near-field aeroacoustic source imaging , 2013 .

[17]  Robert P. Dougherty,et al.  SIDELOBE SUPPRESSION FOR PHASED ARRAY AEROACOUSTIC MEASUREMENTS , 1998 .

[18]  K. Ehrenfried,et al.  Comparison of Iterative Deconvolution Algorithms for the Mapping of Acoustic Sources , 2007 .

[19]  T. C. Yang,et al.  Performance Analysis of Superdirectivity of Circular Arrays and Implications for Sonar Systems , 2019, IEEE Journal of Oceanic Engineering.

[20]  A. Mohammad-Djafari,et al.  A robust super-resolution approach with sparsity constraint in acoustic imaging , 2014 .