Effective control point layout for boundary surface control method based on the eigenfunction of the internal Dirichlet problem

Tomohiko Ise; Yukio Iwaya; Yôiti Suzuki

doi:10.1250/ast.33.322

Effective control point layout for boundary surface control method based on the eigenfunction of the internal Dirichlet problem

Tomohiko Ise, Yukio Iwaya, Yôiti Suzuki

Human Information Systems Division

Research output: Contribution to journal › Article › peer-review

Abstract

The boundary and additional-points sound pressure control (BAPC) method was proposed. To verify the sound field reproduction performance of BAPC, a rectangular enclosure of 2m × 1:3m × 0:1m based on the Nelson and Elliott's acoustical model was assumed. The additional control point of BAPC is located at the center of the control region, where there are no nodes of eigenfunctions of the internal Dirichlet problem. The total number of control points is set to 25. The sound source layout is selected from 132 positions on the rigid wall at 0.05m intervals by the Gram-Schmidt orthogonalization method and the number of sound sources is set to 26. The control point layouts determined by this tactic showed about 2-3 dB better performance than those with uniform distribution with the same number of control points of eleven.

Original language	English
Pages (from-to)	322-325
Number of pages	4
Journal	Acoustical Science and Technology
Volume	33
Issue number	5
DOIs	https://doi.org/10.1250/ast.33.322
Publication status	Published - 2012

Keywords

Boundary surface control
Eigenfunction
Global sound reproduction
Internal Dirichlet problem
Spatial sampling theory

ASJC Scopus subject areas

Acoustics and Ultrasonics

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10.1250/ast.33.322

Cite this

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title = "Effective control point layout for boundary surface control method based on the eigenfunction of the internal Dirichlet problem",

abstract = "The boundary and additional-points sound pressure control (BAPC) method was proposed. To verify the sound field reproduction performance of BAPC, a rectangular enclosure of 2m × 1:3m × 0:1m based on the Nelson and Elliott's acoustical model was assumed. The additional control point of BAPC is located at the center of the control region, where there are no nodes of eigenfunctions of the internal Dirichlet problem. The total number of control points is set to 25. The sound source layout is selected from 132 positions on the rigid wall at 0.05m intervals by the Gram-Schmidt orthogonalization method and the number of sound sources is set to 26. The control point layouts determined by this tactic showed about 2-3 dB better performance than those with uniform distribution with the same number of control points of eleven.",

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AU - Ise, Tomohiko

AU - Iwaya, Yukio

AU - Suzuki, Yôiti

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N2 - The boundary and additional-points sound pressure control (BAPC) method was proposed. To verify the sound field reproduction performance of BAPC, a rectangular enclosure of 2m × 1:3m × 0:1m based on the Nelson and Elliott's acoustical model was assumed. The additional control point of BAPC is located at the center of the control region, where there are no nodes of eigenfunctions of the internal Dirichlet problem. The total number of control points is set to 25. The sound source layout is selected from 132 positions on the rigid wall at 0.05m intervals by the Gram-Schmidt orthogonalization method and the number of sound sources is set to 26. The control point layouts determined by this tactic showed about 2-3 dB better performance than those with uniform distribution with the same number of control points of eleven.

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KW - Spatial sampling theory

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Effective control point layout for boundary surface control method based on the eigenfunction of the internal Dirichlet problem

Abstract

Keywords

ASJC Scopus subject areas

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