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

Stefan Bilbao*, Archontis Politis, Brian Hamilton

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

    16 Citations (Scopus)
    149 Downloads (Pure)

    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.

    Original languageEnglish
    Article number8656507
    Pages (from-to)617-621
    Number of pages5
    JournalIEEE Signal Processing Letters
    Volume26
    Issue number4
    DOIs
    Publication statusPublished - 1 Apr 2019
    MoE publication typeA1 Journal article-refereed

    Keywords

    • ambisonics
    • Finite difference time domain (FDTD)
    • microphone array
    • room acoustics
    • spatial audio
    • spherical harmonics

    Fingerprint

    Dive into the research topics of 'Local Time-Domain Spherical Harmonic Spatial Encoding for Wave-Based Acoustic Simulation'. Together they form a unique fingerprint.

    Cite this