A robust super-resolution approach with sparsity constraint in acoustic imaging

Abstract

International audienceAcoustic imaging is a standard technique for mapping acoustic source powers and positions from limited observations on microphone sensors, which often causes an ill-conditioned inverse problem. In this article, we firstly improve the forward model of acoustic power propagation by considering background noises at the sensor array, and the propagation uncertainty caused by wind tunnel effects. We then propose a robust super-resolution approach via sparsity constraint for acoustic imaging in strong background noises. The sparsity parameter is adaptively derived from the sparse distribution of source powers. The proposed approach can jointly reconstruct source powers and positions, as well as the background noise power. Our approach is compared with the conventional beamforming, deconvolution and sparse regularization methods by simulated, wind tunnel data and hybrid data respectively. It is feasible to apply the proposed approach for effectively mapping monopole sources in wind tunnel tests

Inverse problems in imaging science: from classical regularization methods to state of the art Bayesian methods

“…Here are a set of main references related to this tutorial: [4], [5], [6], [7], [8], [9], [10], [11], [12] …”

A novel Fourier-based deconvolution algorithm with improved efficiency and convergence

“…Array-based beamforming has become an indispensable acoustic source identification technology in some industries such as aviation aircraft, [1][2][3][4] rail train, 5 wind turbine, [6][7][8][9] mining industry, 10 and automobile [11][12][13] over decades. Conventional beamforming (CB) has the advantages of fast measurement speed, high computational efficiency, and suitable for medium-to-long distance measurement.…”

Theory and applications of high frequency broadband ultrasound via a thin layer in contact with a solid

“…To realize ultrasonic testing without the use of water, several techniques, e.g., the air-coupled capacitance transducer (Schindel, et al, 1995), (Alvarez-Arenas, et al, 2012), (Gan, et al, 2003), , (Robertson, et al, 2002) and (Oralkan, et al, 2003), the electromagnetic acoustic transducer (Houck, et al, 1967), (Ludwig, et al, 1993), (Ogi, et al, 1995) and (Ogi, et al, 2001), laser ultrasound (White, 1963), (Rose, 1984), (Liu, et al, 2002), (Green, 2004) and (Arias and Achenbach, 2004), and microphone array (Chu, et al, 2014), (Rigelsford and Tennant, 2006) and (Brandes and Benson, 2007), have been proposed. Several megahertz broadband ultrasound can be transmitted and received by the aircoupled capacitance transducer (Alvarez-Arenas, et al, 2012) and the electromagnetic acoustic transducer (Ogi, et al, 1995), and this type of transducers are applicable for inspection of high temperature objects (Gan, et al, 2003).…”