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

Brian Hamilton

doi:10.1109/LSP.2013.2273175

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

Brian Hamilton^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	925 - 928
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	20
Issue number	10
DOIs	https://doi.org/10.1109/LSP.2013.2273175
Publication status	Published - 12 Jul 2013

Keywords / Materials (for Non-textual outputs)

Artificial reverberation
digital waveguide mesh
finite difference method
multidimensional sampling
SIMULATION

Access to Document

10.1109/LSP.2013.2273175

HamiltonISPL2013SamplingReconstruction.pdfAccepted author manuscript, 807 KB

NESS - Listening to the future: Next-generation Sound Synthesis through Simulation
Bilbao, S. (Principal Investigator)
EU government bodies
1/01/12 → 31/12/16
Project: Research

Cite this

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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.",

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AB - 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.

KW - Artificial reverberation

KW - digital waveguide mesh

KW - finite difference method

KW - multidimensional sampling

KW - SIMULATION

U2 - 10.1109/LSP.2013.2273175

DO - 10.1109/LSP.2013.2273175

M3 - Article

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

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

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

NESS - Listening to the future: Next-generation Sound Synthesis through Simulation

Cite this