Local Time-Domain Spherical Harmonic Spatial Encoding for Wave-Based Acoustic Simulation
Research output: Contribution to journal › Article › Scientific › peer-review
Details
| Original language | English |
|---|---|
| Pages (from-to) | 617-621 |
| Number of pages | 5 |
| Journal | IEEE Signal Processing Letters |
| Volume | 26 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Apr 2019 |
| Publication type | A1 Journal article-refereed |
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.
Keywords
- acoustic field, acoustic signal detection, acoustic signal processing, encoding, finite difference time-domain analysis, frequency-domain analysis, time-domain analysis, repeated time integration, computed time-domain responses, frequency-domain block processing, spatially encoded spherical harmonic signals, simple time-domain representation, virtual acoustics applications, spatially encoded signals, computed field, fine-grained representation, finite difference time domain method, volumetric time-domain simulation methods, wave-based acoustic simulation, local time-domain spherical harmonic spatial encoding, Time-domain analysis, Acoustics, Encoding, Harmonic analysis, Finite difference methods, Three-dimensional displays, Receivers, Finite difference time domain (FDTD), room acoustics, spatial audio, microphone array, spherical harmonics, ambisonics