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Journal Articles The Journal of the Acoustical Society of America Year : 2024

Active Design of Diffuse Acoustic Fields in Enclosures

Abstract

This paper presents a numerical framework for designing diffuse fields in rooms of any shape and size, driven at arbitrary frequencies. That is, we aim at overcoming the Schroeder frequency limit for generating diffuse fields in an enclosed space. We formulate the problem as a Tikhonov regularized inverse problem and propose a lowrank approximation of the spatial correlation that results in significant computational gains. Our approximation is applicable to arbitrary sets of target points and allows us to produce an optimal design at a computational cost that grows only linearly with the (potentially large) number of target points. We demonstrate the feasibility of our approach through numerical examples where we approximate diffuse fields at frequencies well below the Schroeder limit.
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Dates and versions

hal-04138504 , version 1 (23-06-2023)

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Wilkins Aquino, Jerry Rouse, Marc Bonnet. Active Design of Diffuse Acoustic Fields in Enclosures. The Journal of the Acoustical Society of America, 2024, 155, pp.1297-1307. ⟨10.1121/10.0024770⟩. ⟨hal-04138504⟩
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