Local Time-Domain Spherical Harmonic Spatial Encoding for Wave-Based Acoustic Simulation

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-04-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
5
617-621
Series
IEEE Signal Processing Letters, Volume 26, issue 4
Abstract
Volumetric time-domain simulation methods, such as the finite difference time domain method, allow for a fine-grained representation of the dynamics of the acoustic field. A key feature of such methods is complete access to the computed field, normally represented over a Cartesian grid. Simple solutions to the problem of extracting spatially encoded signals, necessary in virtual acoustics applications, result. In this letter, a simple time-domain representation of spatially encoded spherical harmonic signals is written directly in terms of spatial derivatives of the acoustic field at the receiver location. In a discrete setting, encoded signals may be obtained, at very low computational cost and latency, using local approximations with minimal number of grid points, and avoiding large convolutions and frequency-domain block processing of previous approaches. Numerical results illustrating receiver directivity and computed time-domain responses are presented, as well as numerical solution drift associated with repeated time integration.
Description
Keywords
ambisonics, Finite difference time domain (FDTD), microphone array, room acoustics, spatial audio, spherical harmonics
Other note
Citation
Bilbao, S, Politis, A & Hamilton, B 2019, ' Local Time-Domain Spherical Harmonic Spatial Encoding for Wave-Based Acoustic Simulation ', IEEE Signal Processing Letters, vol. 26, no. 4, 8656507, pp. 617-621 . https://doi.org/10.1109/LSP.2019.2902509