Local Time-domain Spherical Harmonic Spatial Encoding for Wave-based Acoustic Simulation

Stefan Bilbao, Archontis Politis, Brian Hamilton

Research output: Contribution to journalLetterpeer-review


Volumetric time-domain simulation methods, such as the finite difference time domain (FDTD) 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 article, 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
JournalIEEE Signal Processing Letters
Publication statusPublished - 1 Mar 2019


  • time-domain analysis
  • acoustics
  • encoding
  • harmonic analysis
  • finite difference methods
  • three-dimensional displays
  • receivers


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