A constrained optimization approach for multi-zone surround sound

Betlehem, Terence; Teal, Paul D.

doi:10.1109/icassp.2011.5946434

Cited by 41 publications

(61 citation statements)

References 7 publications

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“…where · is the l 2 -norm operator, 0 ≤ ψ B ≤ 1, 0 ≤ ψ D ≤ 1, 0 ≤ ψ G ≤ 1 are the WPMM weights for the reproduction errors at the bright, dark and gray points, respectively, and β ∈ [0, ∞) is the Tikhonov regularization parameter [9] that serves to control the energy of the input signals [14], [9]. The terms p D 2 and p G 2 in Eq.…”

Section: Introductionmentioning

confidence: 99%

“…Ideally, the system quickly updates the input signals that satisfy the new performance constraint. To this end, methods can be used that are based on iterative searches of the input signals [14], [15]. However, these methods may be time consuming and, hence, not be suitable for practical applications.…”

Section: Introductionmentioning

confidence: 99%

“…Some of these methods are based on the WPMM [13], [9], [14], [12], a generalized formulation of the PMM wherein the so-called WPMM weights are assigned to the control points where sound is to be controlled with the aim of prioritizing (or not prioritizing) accurate reproduction of the target field at given control points [14], [9]. We consider the problem of calculating the input signals that satisfy a performance constraint [14], [15]. In this work, we set a performance constraint on the accuracy of the reproduction of the target field at the bright point, which is, hereafter, succinctly referred to as "quality constraint".…”

Section: Introductionmentioning

confidence: 99%

“…The target fieldp can be reproduced by driving the array with input signals designed with the WPMM [9], [14]. The WPMM cost function is defined as [9], [14] …”

Section: Introductionmentioning

confidence: 99%

“…For example, for a given level of the input energy, a given system may be able to provide high directivity performance at the expense of a reduced quality in the listening zone [9], [10], [12]. A number of PMM-based methods were proposed to control the performance trade-off by means of 1) parameters that are freely customizable by the users [13], [9], [12] or, 2) by calculating the input signals that satisfy given performance constraints [14], [15]. Some of these methods are based on the WPMM [13], [9], [14], [12], a generalized formulation of the PMM wherein the so-called WPMM weights are assigned to the control points where sound is to be controlled with the aim of prioritizing (or not prioritizing) accurate reproduction of the target field at given control points [14], [9].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Generation of Private Sound With a Circular Loudspeaker Array and the Weighted Pressure Matching Method

Olivieri

Fazi

Fontana

et al. 2017

IEEE/ACM Trans. Audio Speech Lang. Process.

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Abstract-In this work, we propose a system for private sound which is based on the Weighted Pressure Matching method (WPMM). The aim is to design the input signals to an array of loudspeakers which allow for the synthesis of a target field defined with large amplitude variations between the so-called dark points and the listener's position. The system enables listeners to control the trade-off between directivity performance and the accuracy of reproduction of the target field at the listening position when the input energy to the array is limited. This is achieved by calculating the WPMM weight in the dark zone based on a performance constraint on the characteristics of the sound field in the listening zone. The system is validated for a number of pre-defined use-case scenarios. The results of the experiments in an anechoic environment with a circular array prototype show that listeners can control the performance trade-off in a wide frequency range. In the second part of the paper, algorithms are presented for the fast update of the input signals when the user selects a new value of the performance constraint.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The target fieldp can be reproduced by driving the array with input signals designed with the WPMM [9], [14]. The WPMM cost function is defined as [9], [14] …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Generation of Private Sound With a Circular Loudspeaker Array and the Weighted Pressure Matching Method

Olivieri

Fazi

Fontana

et al. 2017

IEEE/ACM Trans. Audio Speech Lang. Process.

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A multizone sound field reproduction method with constrained zone acoustic energy in the modal domain

Wen,

Wu,

Fan

et al. 2024

Applied Acoustics

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Feasibility analysis for active near/far field acoustic pattern synthesis in free space and shallow water environments

Egarguin

Onofrei

et al. 2021

Acta Acust.

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In this paper, a detailed sensitivity and feasibility analysis of the active manipulation scheme for scalar Helmholtz fields proposed in our previous works, in both free space and constant-depth homogeneous ocean environments, is presented. We apply the method of moments (MoM) together with Tikhonov regularization with the Morozov discrepancy principle to investigate the effects of varying the problem parameters to the accuracy and feasibility of the proposed active field control strategy. We discuss the feasibility of the active scheme (with respect to power budget, control accuracy and process error) as a function of the frequency, the distance between the control region and the source, the mutual distance between the control regions, and the size of the control region. Process error is considered as well to investigate the possibility of an accurate active control in the presence of manufacturing or feeding noise. The numerical simulations show the accuracy of the active field control scheme and indicate some challenges and limitations for its physical implementation.

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A constrained optimization approach for multi-zone surround sound

Cited by 41 publications

References 7 publications

Generation of Private Sound With a Circular Loudspeaker Array and the Weighted Pressure Matching Method

Generation of Private Sound With a Circular Loudspeaker Array and the Weighted Pressure Matching Method

A multizone sound field reproduction method with constrained zone acoustic energy in the modal domain

Feasibility analysis for active near/far field acoustic pattern synthesis in free space and shallow water environments

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