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Sparse ℓ1-Optimal Multiloudspeaker Panning and Its Relation to Vector Base Amplitude Panning

Franck, A, Wang, Wenwu and Fazi, FM (2017) Sparse ℓ1-Optimal Multiloudspeaker Panning and Its Relation to Vector Base Amplitude Panning IEEE Transactions on Audio Speech and Language Processing, 25 (5). pp. 996-1010.

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Abstract

Panning techniques, such as vector base amplitude panning (VBAP) are a widely-used practical approach for spatial sound reproduction using multiple loudspeakers. Although limited to a relatively small listening area, they are very efficient and offer good localisation accuracy, timbral quality as well as a graceful degradation of quality outside the sweet spot. The aim of this paper is to investigate optimal sound reproduction techniques that adopt some of the advantageous properties of VBAP, such as the sparsity and the locality of the active loudspeakers for the reproduction of a single audio object. To this end, we state the task of multi-loudspeaker panning as an `1 optimization problem. We demonstrate and prove that the resulting solutions are exactly sparse. Moreover, we show the effect of adding a nonnegativity constraint on the loudspeaker gains in order to preserve the locality of the panning solution. Adding this constraint, `1- optimal panning can be formulated as a linear program. Using this representation, we prove that unique `1-optimal panning solutions incorporating a nonnegativity constraint are identical to VBAP using a Delaunay triangulation for the loudspeaker setup. Using results from linear programming and duality theory, we describe properties and special cases, such as solution ambiguity, of the VBAP solution.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Franck, AUNSPECIFIEDUNSPECIFIED
Wang, WenwuW.Wang@surrey.ac.ukUNSPECIFIED
Fazi, FMUNSPECIFIEDUNSPECIFIED
Date : 24 February 2017
Funders : EPSRC
Identification Number : 10.1109/TASLP.2017.2674975
Copyright Disclaimer : (c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Uncontrolled Keywords : Terms—Spatial sound reproduction, amplitude panning, VBAP, sparsity, `1 optimization, compressive sampling, linear programming
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 15 Feb 2017 08:54
Last Modified : 31 Oct 2017 19:07
URI: http://epubs.surrey.ac.uk/id/eprint/813543

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