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Active control of stationary random sound fields

Active control of stationary random sound fields
Active control of stationary random sound fields

Previous work on the active control of sound has mostly used frequency domain formulations in order to establish the physical limitations of active methods. While entirely adequate for the prediction of the performance of active control systems designed to deal with deterministic primary fields, these methods cannot necessarily be applied in cases where the primary excitation is stationary random in nature. The application of frequency domain techniques often yields results for the optimal control strategy that require the secondary sources to act noncausally with respect to the primary sources. The work described here illustrates classical time domain methods for determining the performance limits of active noise control systems that are constrained to act causally. The first example considered is the minimization of the mean-squared acoustic pressure at a position in the field of a point monopole primary source by the introduction of a point monopole secondary source. The primary source radiates a stationary random signal and the secondary source is constrained to act causally with respect to the primary source. The active control of low-frequency random sound in enclosures is then addressed and the classical Wiener theory extended in order to deal with problems involving the minimization of multiple errors. The active control of a one-dimensional enclosed sound field is presented as a simple example. This theory is also used in presenting a third example that consists of a primary/secondary source pair radiating in a free field. The minimum acoustic power output of the source combination is calculated when the primary source radiates random sound and the secondary source is again constrained to act causally with respect to the primary source.

0001-4966
963-975
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Hammond, J. K.
9ee35228-a62c-4113-8394-1b24df97b401
Joseph, P.
9c30491e-8464-4c9a-8723-2abc62bdf75d
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Hammond, J. K.
9ee35228-a62c-4113-8394-1b24df97b401
Joseph, P.
9c30491e-8464-4c9a-8723-2abc62bdf75d
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567

Nelson, P. A., Hammond, J. K., Joseph, P. and Elliott, S. J. (1990) Active control of stationary random sound fields. Journal of the Acoustical Society of America, 87 (3), 963-975. (doi:10.1121/1.399432).

Record type: Article

Abstract

Previous work on the active control of sound has mostly used frequency domain formulations in order to establish the physical limitations of active methods. While entirely adequate for the prediction of the performance of active control systems designed to deal with deterministic primary fields, these methods cannot necessarily be applied in cases where the primary excitation is stationary random in nature. The application of frequency domain techniques often yields results for the optimal control strategy that require the secondary sources to act noncausally with respect to the primary sources. The work described here illustrates classical time domain methods for determining the performance limits of active noise control systems that are constrained to act causally. The first example considered is the minimization of the mean-squared acoustic pressure at a position in the field of a point monopole primary source by the introduction of a point monopole secondary source. The primary source radiates a stationary random signal and the secondary source is constrained to act causally with respect to the primary source. The active control of low-frequency random sound in enclosures is then addressed and the classical Wiener theory extended in order to deal with problems involving the minimization of multiple errors. The active control of a one-dimensional enclosed sound field is presented as a simple example. This theory is also used in presenting a third example that consists of a primary/secondary source pair radiating in a free field. The minimum acoustic power output of the source combination is calculated when the primary source radiates random sound and the secondary source is again constrained to act causally with respect to the primary source.

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More information

Published date: March 1990
Additional Information: Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

Identifiers

Local EPrints ID: 468660
URI: http://eprints.soton.ac.uk/id/eprint/468660
ISSN: 0001-4966
PURE UUID: 5e3bcb47-3778-4d70-9c29-716b5b460a5a
ORCID for P. A. Nelson: ORCID iD orcid.org/0000-0002-9563-3235

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Date deposited: 19 Aug 2022 17:05
Last modified: 17 Mar 2024 02:32

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Contributors

Author: P. A. Nelson ORCID iD
Author: J. K. Hammond
Author: P. Joseph
Author: S. J. Elliott

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