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).


[img] PDF Zhang_et_al_JASA_2016_eprints.pdf - Accepted Manuscript
Available under License University of Southampton Accepted Manuscript Licence.

Download (1MB)


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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1121/1.4963084
ISSNs: 0001-4966 (print)
Organisations: Acoustics Group
ePrint ID: 403787
Date :
Date Event
2 September 2016Accepted/In Press
29 September 2016e-pub ahead of print
Date Deposited: 12 Dec 2016 11:49
Last Modified: 24 Apr 2017 04:38
Further Information:Google Scholar

Actions (login required)

View Item View Item