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Wavenumber domain regularization for near-field acoustic holography by means of modified filter functions and cut-off and slope iteration
Eindhoven University of Technology.ORCID iD: 0000-0002-3609-3005
2008 (English)In: Acta Acoustica united with Acustica, ISSN 1610-1928, Vol. 94, no 3, 339-348 p.Article in journal (Refereed) Published
Abstract [en]

Planar Near-field Acoustic Holography (PNAH) is an acoustic imaging method based on the inverse solution of the wave equation. Wavenumber domain low-pass filtering is an essential operation in the PNAH process. An increasingly higher wavenumber filter cut-off results in a "blow-up" of the inverse solution, which is a characteristic of an ill-posed problem. On the other hand, lower cut-off wavenumbers result in spatial acoustic data at very low resolution, where highly detailed information is discarded. Thus, an optimal solution for the cut-off wavenumber somewhere in between is needed. This paper introduces two modified filter functions, namely a modified exponential and a modified Tikhonov filter, that are specifically designed for application in PNAH and compares them with a number of more general applied filter functions. Regularization methods are introduced that exploit the k-space to obtain near-optimal low-pass filter parameter selection at high computational efficiency. These filter functions are discussed and their parameters are selected by k-space application of L-curve, Generalised Cross-Validation and the newly introduced and well-applicable Cut-Off and Slope iteration. Simulations of various sources show that the optimal regularization method is highly dependent on the type of source, the spatial distribution and measurement noise. Finally, a robust regularization strategy is proposed which automatically produces high quality results for a wide range of practical conditions.

Place, publisher, year, edition, pages
2008. Vol. 94, no 3, 339-348 p.
Keyword [en]
Acoustic holography, Acoustic imaging, Acoustics, Data recording, Dynamic loads, Holographic interferometry, Holography, Interferometry, Laser recording, Photoacoustic effect, Photonics, Signal filtering and prediction, Wave equations, Wave filters, Acoustic data, Blow-up, Cross validations, Cut-off, Filter functions, High-quality, Ill-posed problems, In-between, Inverse solutions, K-space, L curves, Low resolution, Low-pass filtering, Measurement noises, Near-field Acoustic Holography, Optimal regularization, Optimal solutions, Planar near-field, Regularization methods, Spatial distributions, Wave number domains, Wave numbers, Imaging techniques
National Category
Fluid Mechanics and Acoustics
URN: urn:nbn:se:kth:diva-66759DOI: 10.3813/AAA.918041ISI: 000257117200001OAI: diva2:498950
QC 20120213Available from: 2012-02-12 Created: 2012-01-27 Last updated: 2012-02-13Bibliographically approved

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Lopez Arteaga, Ines
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