Sparse, l1-optimal multi-loudspeaker panning and its relation to vector base amplitude panning
Sparse, l1-optimal multi-loudspeaker panning and its relation to vector base amplitude panning
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 l1 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, l1-optimal panning can be formulated as a linear program. Using this representation, we prove that unique l1-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.
spatial sound reproduction, amplitude panning, VBAP, sparsity, l1 optimization, compressive sampling, linear programming
996-1010
Franck, Andreas
fa179b73-6a83-4c42-b300-81f1dfe9ef6d
Wang, Wenwu
6369044d-6dbf-4e6e-9c95-dc899ea051ff
Fazi, Filippo
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Franck, Andreas
fa179b73-6a83-4c42-b300-81f1dfe9ef6d
Wang, Wenwu
6369044d-6dbf-4e6e-9c95-dc899ea051ff
Fazi, Filippo
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Franck, Andreas, Wang, Wenwu and Fazi, Filippo
(2017)
Sparse, l1-optimal multi-loudspeaker panning and its relation to vector base amplitude panning.
IEEE/ACM Transactions on Audio, Speech, and Language Processing, 25 (5), .
(doi:10.1109/TASLP.2017.2674975).
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 l1 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, l1-optimal panning can be formulated as a linear program. Using this representation, we prove that unique l1-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.
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franck_wang_fazi2017_sparse_l1_optimal_panning
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franck_wang_fazi2017_sparse_l1-optimal_multiloudspeaker_panning_and_its_equivalence_to_vector_based_amplitude_panning
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Accepted/In Press date: 7 February 2017
e-pub ahead of print date: 24 February 2017
Additional Information:
All code and data underlying the findings are fully available without restriction. Details of the data and how to request access are available through the DOI: doi.org/10.15126/surreydata.00813551
Keywords:
spatial sound reproduction, amplitude panning, VBAP, sparsity, l1 optimization, compressive sampling, linear programming
Organisations:
Acoustics Group
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Local EPrints ID: 406196
URI: http://eprints.soton.ac.uk/id/eprint/406196
PURE UUID: cfaf88ec-0b1f-4d7a-b335-fa440cdf31de
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Date deposited: 10 Mar 2017 10:41
Last modified: 16 Mar 2024 03:59
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Author:
Andreas Franck
Author:
Wenwu Wang
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