Reproduction of a plane-wave sound field using an array of loudspeakers

Darren B. Ward; Thushara D. Abhayapala

doi:10.1109/89.943347

Reproduction of a plane-wave sound field using an array of loudspeakers

Darren B. Ward^*, Thushara D. Abhayapala

^*Corresponding author for this work

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

464 Citations (Scopus)

Abstract

Reproduction of a sound field is a fundamental problem in acoustic signal processing. In this paper, we use a spherical harmonics analysis to derive performance bounds on how well an array of loudspeakers can recreate a three-dimensional (3-D) plane-wave sound field within a spherical region of space. Specifically, we develop a relationship between the number of loudspeakers, the size of the reproduction sphere, the frequency range, and the desired accuracy. We also provide analogous results for the special case of reproduction of a two-dimensional (2-D) sound field. Results are verified through computer simulations.

Original language	English
Pages (from-to)	697-707
Number of pages	11
Journal	IEEE Transactions on Speech and Audio Processing
Volume	9
Issue number	6
DOIs	https://doi.org/10.1109/89.943347
Publication status	Published - Sept 2001

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title = "Reproduction of a plane-wave sound field using an array of loudspeakers",

abstract = "Reproduction of a sound field is a fundamental problem in acoustic signal processing. In this paper, we use a spherical harmonics analysis to derive performance bounds on how well an array of loudspeakers can recreate a three-dimensional (3-D) plane-wave sound field within a spherical region of space. Specifically, we develop a relationship between the number of loudspeakers, the size of the reproduction sphere, the frequency range, and the desired accuracy. We also provide analogous results for the special case of reproduction of a two-dimensional (2-D) sound field. Results are verified through computer simulations.",

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AB - Reproduction of a sound field is a fundamental problem in acoustic signal processing. In this paper, we use a spherical harmonics analysis to derive performance bounds on how well an array of loudspeakers can recreate a three-dimensional (3-D) plane-wave sound field within a spherical region of space. Specifically, we develop a relationship between the number of loudspeakers, the size of the reproduction sphere, the frequency range, and the desired accuracy. We also provide analogous results for the special case of reproduction of a two-dimensional (2-D) sound field. Results are verified through computer simulations.

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Reproduction of a plane-wave sound field using an array of loudspeakers

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