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

Author

Ward, Darren B. ; Abhayapala, Thushara D.

Author_Institution

Dept. of Telecommun. Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

9

Issue

6

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

697

Lastpage

707

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

Keywords

acoustic field; acoustic signal processing; acoustic transducer arrays; audio signal processing; harmonic analysis; loudspeakers; sound reproduction; 2-D sound field; acoustic signal processing; frequency range; loudspeakers array; performance bounds; plane-wave sound field; reproduction sphere; spherical harmonics analysis; Acoustic arrays; Acoustic signal processing; Application software; Array signal processing; Audio systems; Computer simulation; Frequency; Harmonic analysis; Loudspeakers; Two dimensional displays;

fLanguage

English

Journal_Title

Speech and Audio Processing, IEEE Transactions on

Publisher

ieee

ISSN

1063-6676

Type

jour

DOI

10.1109/89.943347

Filename

943347