Sampling and Reconstruction on a Diamond Grid and the Tetrahedral Digital Waveguide Mesh

Brian Hamilton*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that half of the points on the diamond grid are redundant for sampling and reconstructing a bandlimited 3-D signal. This redundancy is then exploited to show that the tetrahedral digital waveguide mesh requires four times more computational density and twice the memory storage for the same approximation as a finite difference scheme on the face-centered cubic lattice.
Original languageEnglish
Pages (from-to)925 - 928
Number of pages4
JournalIEEE Signal Processing Letters
Volume20
Issue number10
DOIs
Publication statusPublished - 12 Jul 2013

Keywords

  • Artificial reverberation
  • digital waveguide mesh
  • finite difference method
  • multidimensional sampling
  • SIMULATION

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