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Causal constraints on the active control of sound

Causal constraints on the active control of sound
Causal constraints on the active control of sound

The problem addressed is that of evaluating the maximum net reduction in acoustic power output produced by introducing a single point monopole secondary source to control the sound field radiated by a single point monopole primary source in a free field. The secondary source is constrained to act causally with respect to the primary source. The problem reduces to solving a Wiener-Hopf integral equation for the optimal realizable impulse response relating the secondary and primary source outputs. A solution is given which has a well-defined physical significance and demonstrates the need for the secondary source to act as a predictor in order that destructive interference of the primary field is possible at field points closer to the primary source than the secondary source.

145-148
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Hammond, J. K.
9ee35228-a62c-4113-8394-1b24df97b401
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Hammond, J. K.
9ee35228-a62c-4113-8394-1b24df97b401
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567

Nelson, P. A., Hammond, J. K. and Elliott, S. J. (1987) Causal constraints on the active control of sound. Proceedings ICASSP 87: IEEE International Conference on Acoustics, Speech and Signal Processing, Registry Hotel, Dallas, TX, United States. 06 - 09 Apr 1987. pp. 145-148 . (doi:10.1109/ICASSP.1987.1169895).

Record type: Conference or Workshop Item (Paper)

Abstract

The problem addressed is that of evaluating the maximum net reduction in acoustic power output produced by introducing a single point monopole secondary source to control the sound field radiated by a single point monopole primary source in a free field. The secondary source is constrained to act causally with respect to the primary source. The problem reduces to solving a Wiener-Hopf integral equation for the optimal realizable impulse response relating the secondary and primary source outputs. A solution is given which has a well-defined physical significance and demonstrates the need for the secondary source to act as a predictor in order that destructive interference of the primary field is possible at field points closer to the primary source than the secondary source.

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More information

Published date: 1987
Additional Information: Copyright: Copyright 2004 Elsevier B.V., All rights reserved.
Venue - Dates: Proceedings ICASSP 87: IEEE International Conference on Acoustics, Speech and Signal Processing, Registry Hotel, Dallas, TX, United States, 1987-04-06 - 1987-04-09

Identifiers

Local EPrints ID: 467746
URI: http://eprints.soton.ac.uk/id/eprint/467746
PURE UUID: 93e40197-64cc-4aec-91d1-b24a238a712d
ORCID for P. A. Nelson: ORCID iD orcid.org/0000-0002-9563-3235

Catalogue record

Date deposited: 21 Jul 2022 16:59
Last modified: 17 Mar 2024 02:32

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Contributors

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

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