2013
DOI: 10.1109/lsp.2013.2273175
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Sampling and Reconstruction on a Diamond Grid and the Tetrahedral Digital Waveguide Mesh

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.Index Terms-Artificial reverberation, digital waveguide mesh, finite difference method, multidimensional sampling.

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Cited by 1 publication
(1 citation statement)
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“…Like the SDN, a WGW is a network of discrete nodes, including, source, receiver and a number of reflection points, which can be, for example, trees or other reflective surfaces. The WGW differs distinctly from the digital waveguide mesh, which is a regular grid structure of scattering nodes and interconnections, used for modeling multidimensional wave propagation, also usually in closed systems [35]- [38]. This paper shows that the proposed WGW has similarities to, but is also different from, the recently introduced scattering delay network (SDN) approach to reverberation design as it extends the design of the SDN to incorporate directionally-dependent filtering at the node positions.…”
Section: Introductionmentioning
confidence: 98%
“…Like the SDN, a WGW is a network of discrete nodes, including, source, receiver and a number of reflection points, which can be, for example, trees or other reflective surfaces. The WGW differs distinctly from the digital waveguide mesh, which is a regular grid structure of scattering nodes and interconnections, used for modeling multidimensional wave propagation, also usually in closed systems [35]- [38]. This paper shows that the proposed WGW has similarities to, but is also different from, the recently introduced scattering delay network (SDN) approach to reverberation design as it extends the design of the SDN to incorporate directionally-dependent filtering at the node positions.…”
Section: Introductionmentioning
confidence: 98%