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Analysis and control of multi-zone sound field reproduction using modal-domain approach

Zhang, Wen, Abhayapala, Thushara D., Betlehem, Terence and Fazi, Filippo (2016) Analysis and control of multi-zone sound field reproduction using modal-domain approach Journal of the Acoustical Society of America, 140, (2134), pp. 2134-2144. (doi:10.1121/1.4963084).

Record type: Article


Multi-zone sound control aims to reproduce multiple sound fields independently and simultaneously over different spatial regions within the same space. This paper investigates the multi-zone sound control problem formulated in the modal domain using the Lagrange cost function and provides a modal-domain analysis of the problem. The Lagrange cost function is formulated to represent a quadratic objective of reproducing a desired sound field within the bright zone and with constraints on sound energy in the dark zone and global region. A fundamental problem in multi-zone reproduction is interzone sound interference, where based on the geometry of the sound zones and the desired sound field within the bright zone the achievable reproduction performance is limited. The modal-domain Lagrangian solution demonstrates the intrinsic ill-posedness of the problem, based on which a parameter, the coefficient of realisability, is developed to evaluate the reproduction limitation. The proposed reproduction method is based on controlling the interference between sound zones and sound leakage outside the sound zones, resulting in a suitable compromise between good bright zone performance and satisfactory dark zone performance. The performance of the proposed design is demonstrated through numerical simulations of two-zone reproduction in free-field and in reverberant environments.

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Accepted/In Press date: 2 September 2016
e-pub ahead of print date: 29 September 2016
Organisations: Acoustics Group


Local EPrints ID: 403787
ISSN: 0001-4966
PURE UUID: 5e332eb2-19d2-4c7f-b6ec-b361cd3b622d

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Date deposited: 12 Dec 2016 11:49
Last modified: 18 Jul 2017 04:08

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Author: Wen Zhang
Author: Thushara D. Abhayapala
Author: Terence Betlehem
Author: Filippo Fazi

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