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Local sound field reproduction using digital signal processing

Local sound field reproduction using digital signal processing
Local sound field reproduction using digital signal processing

This work shows how an acoustic wavefront can be reconstructed locally by using only a few loudspeakers. The loudspeaker inputs are calculated by passing a set of signals recorded by only a few microphones through a matrix of causal digital filters having finite impulse responses. These filters, referred to as the inverse filters, are calculated by inverting (in the least-squares sense) a matrix which contains the electroacoustic transfer functions from the loudspeakers to the microphones. In practice, it is crucial to use a modeling delay and a regularization factor in order to achieve an accurate inversion. The technique is illustrated with an example that shows how well four loudspeakers can reproduce a sound field that has been recorded with three microphones. When the recorded field does not contain energy at frequencies whose acoustical wavelengths are shorter than the distance between adjacent microphones, the original field is reproduced remarkably accurately in the vicinity of the microphones regardless of the positions of the loudspeakers.

0001-4966
1584-1593
Kirkeby, Ole
aac71fe8-acd1-48a1-9d26-f8de12b45443
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Orduna-Bustamante, Felipe
442c3103-da2b-47cf-ba5e-eb9a6fd43181
Hamada, Hareo
63a6b688-1872-403b-96d4-0d632a098793
Kirkeby, Ole
aac71fe8-acd1-48a1-9d26-f8de12b45443
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Orduna-Bustamante, Felipe
442c3103-da2b-47cf-ba5e-eb9a6fd43181
Hamada, Hareo
63a6b688-1872-403b-96d4-0d632a098793

Kirkeby, Ole, Nelson, Philip A., Orduna-Bustamante, Felipe and Hamada, Hareo (1996) Local sound field reproduction using digital signal processing. Journal of the Acoustical Society of America, 100 (3), 1584-1593. (doi:10.1121/1.416060).

Record type: Article

Abstract

This work shows how an acoustic wavefront can be reconstructed locally by using only a few loudspeakers. The loudspeaker inputs are calculated by passing a set of signals recorded by only a few microphones through a matrix of causal digital filters having finite impulse responses. These filters, referred to as the inverse filters, are calculated by inverting (in the least-squares sense) a matrix which contains the electroacoustic transfer functions from the loudspeakers to the microphones. In practice, it is crucial to use a modeling delay and a regularization factor in order to achieve an accurate inversion. The technique is illustrated with an example that shows how well four loudspeakers can reproduce a sound field that has been recorded with three microphones. When the recorded field does not contain energy at frequencies whose acoustical wavelengths are shorter than the distance between adjacent microphones, the original field is reproduced remarkably accurately in the vicinity of the microphones regardless of the positions of the loudspeakers.

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More information

Published date: 1 September 1996

Identifiers

Local EPrints ID: 468792
URI: http://eprints.soton.ac.uk/id/eprint/468792
ISSN: 0001-4966
PURE UUID: f569a705-958e-464b-a876-592e88958f67
ORCID for Philip A. Nelson: ORCID iD orcid.org/0000-0002-9563-3235

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Date deposited: 25 Aug 2022 17:20
Last modified: 17 Mar 2024 02:32

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Contributors

Author: Ole Kirkeby
Author: Felipe Orduna-Bustamante
Author: Hareo Hamada

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