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An Efficient Planar Inverse Acoustic Method Based on Toeplitz Matrices

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Abstract:

This article proposes a new, fast method to solve inverse acoustic problems for planar sources. This problem is often encountered in practice and methods such as planar nearfield acoustic holography (PNAH) and statistically optimised nearfield acoustic holography (SONAH) are widely used to solve it. In this article, it is shown that the transfer matrix from an equidistant source grid to an equidistant field grid has a Block Toeplitz with Toeplitz Blocks (BTTB) structure. By using fast methods for BTTB matrices, the computational effort is reduced to a similar level as PNAH at an accuracy which is the same as SONAH. This is demonstrated in a case study, where computational time and the accuracy is compared. The accuracy is shown to be better than PNAH even if advanced sound field extrapolation techniques such as patch holography are used.

Document Type: Research Article

DOI: http://dx.doi.org/10.3813/AAA.918393

Publication date: January 1, 2011

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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