On Sparse Reconstructions in Near-Field Acoustic Holography Using the Method of Superposition

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Abusag, N.M. and Chappell, D.J. ORCID: 0000-0001-5819-0271, 2016. On Sparse Reconstructions in Near-Field Acoustic Holography Using the Method of Superposition. Journal of Computational Acoustics, p. 1650009. ISSN 0218-396X

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Official URL: http://doi.org/10.1142/S0218396X16500090

Abstract

The method of superposition is proposed in combination with a sparse ℓ1 optimisation algorithm with the aim of finding a sparse basis to accurately reconstruct the structural vibrations of a radiating object from a set of acoustic pressure values on a conformal surface in the near-field. The nature of the reconstructions generated by the method differs fundamentally from those generated via standard Tikhonov regularisation in terms of the level of sparsity in the distribution of charge strengths specifying the basis. In many cases, the ℓ1 optimisation leads to a solution basis whose size is only a small fraction of the total number of measured data points. The effects of changing the wavenumber, the internal source surface and the (noisy) acoustic pressure data in general will all be studied with reference to a numerical study on a cuboid of similar dimensions to a typical loudspeaker cabinet. The development of sparse and accurate reconstructions has a number of advantageous consequences including improved reconstructions from reduced data sets, the enhancement of numerical solution methods and wider applications in source identification problems.

Item Type:

Journal article

Publication Title:

Journal of Computational Acoustics

Creators:

Abusag, N.M. and Chappell, D.J.

Publisher:

World Scientific

Date:

16 March 2016

ISSN:

0218-396X