An efficient planar inverse acoustic method based on Toeplitz matrices

Research output: Contribution to journalArticleAcademicpeer-review

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.
Original languageEnglish
Pages (from-to)128-137
Number of pages10
JournalAcustica united with Acta Acustica
Volume97
Issue number1
DOIs
Publication statusPublished - 2011

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holography
acoustics
matrices
grids
sound fields
Holography
Acoustics
extrapolation
Grid
Computational

Keywords

  • METIS-267130
  • IR-75422

Cite this

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title = "An efficient planar inverse acoustic method based on Toeplitz matrices",
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.",
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pages = "128--137",
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}

An efficient planar inverse acoustic method based on Toeplitz matrices. / Wind, Jelmer; de Boer, Andries; Ellenbroek, Marcellinus Hermannus Maria.

In: Acustica united with Acta Acustica, Vol. 97, No. 1, 2011, p. 128-137.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - An efficient planar inverse acoustic method based on Toeplitz matrices

AU - Wind, Jelmer

AU - de Boer, Andries

AU - Ellenbroek, Marcellinus Hermannus Maria

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AB - 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.

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JO - Acustica united with Acta Acustica

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