In spherical harmonic sound field synthesis, spatial discretization of the sphere and truncation order decrease the physical performance in terms of acoustical pressure reproduction error. A simple rule allows for the prediction of the listening area’s size so that the deviation between the target and reconstructed sound pressure fields stays below a given level. However, this rule does not quantify the area of effective reproduction in terms of directional fields such as particle velocity or acoustical intensity. In this paper, a new rule for the effective reconstruction of particle velocity, acoustic intensity and, related directional metrics is derived and is found to be more severe than the usual pressure reconstruction. Numerical simulations of the directional fields and metrics are reported.

Authors: Grandjean, Pierre; Gauthier, Philippe-Aubert; Berry, Alain
Affiliations: University of Sherbrooke, Sherbrooke, Quebec, Canada; Centre for Interdisciplinary Research in Music, Media, and Technology, McGill University, Montreal, Quebec, Canada(See document for exact affiliation information.)
AES Conference: 2018 AES International Conference on Spatial Reproduction - Aesthetics and Science (July 2018)
Paper Number: P7-3
Publication Date: July 30, 2018
Session Subject: Directional metrics; Reproduction area; Particle velocity; Ambisonic; DOA; ITD; Diffuseness

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