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Fast near-field acoustic imaging with separable arrays

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2 Author(s)
Ribeiro, Flavio P. ; Electron. Syst. Eng. Dept., Univ. de Sao Paulo, São Paulo, Brazil ; Nascimento, V.H.

Acoustic imaging is a computationally intensive and ill-conditioned inverse problem, which involves estimating high resolution source distributions with large microphone arrays. We have recently shown how to significantly accelerate acoustic imaging under a far-field approximation using fast transforms. This paper generalizes our previous work to obtain computationally efficient and accurate transforms for near-field imaging with separable arrays. We show that under a suitable permutation, the imaging transform can be made nearly separable, even when modeling strong near-field effects. We exploit this quasi-separability to obtain a computationally efficient and accurate low-rank representation, allowing the design of fast transforms for near-field operation with arbitrary focal surfaces and arbitrary accuracy. We combine these transforms with calibration matrices, which compensate non-separable characteristics and allow one to quickly reshape focal surfaces without having to recompute the optimal transforms.

Published in:

Statistical Signal Processing Workshop (SSP), 2011 IEEE

Date of Conference:

28-30 June 2011