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The KW-boundary hybrid digital waveguide mesh for room acoustics applications

Murphy, Damian T. and Beeson, Mark (2007) The KW-boundary hybrid digital waveguide mesh for room acoustics applications. IEEE Transactions On Audio Speech And Language Processing. pp. 552-564. ISSN 1558-7916

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Abstract

The digital waveguide mesh is a discrete-time simulation used to model acoustic wave propagation through a bounded medium. It can be applied to the simulation of the acoustics of rooms through the generation of impulse responses suitable for auralization purposes. However, large-scale three-dimensional mesh structures are required for high quality results. These structures must therefore be efficient and also capable of flexible boundary implementation in terms of both geometrical layout and the possibility for improved mesh termination algorithms. The general one-dimensional N-port boundary termination is investigated, where N depends on the geometry of the modeled domain and the mesh topology used. The equivalence between physical variable Kirchoff-model, and scattering-based wave-model boundary formulations is proved. This leads to the KW-hybrid one-dimensional N-port boundary-node termination, which is shown to be equivalent to the Kirchoff- and wave-model cases. The KW-hybrid boundary-node is implemented as part of a new hybrid two-dimensional triangular digital waveguide mesh. This is shown to offer the possibility for large-scale, computationally efficient mesh structures for more complex shapes. It proves more accurate than a similar rectilinear mesh in terms of geometrical fit, and offers significant savings in processing time and memory use over a standard wave-based model. The new hybrid mesh also has the potential for improved real-world room boundary simulations through the inclusion of additional mixed modeling algorithms.

Item Type: Article
Copyright, Publisher and Additional Information: © Copyright 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: acoustic propagation, acoustic signal processing, digital waveguides, finite-difference time-domain (FDTD) methods, multidimensional systems
Academic Units: The University of York > Electronics (York)
Depositing User: Sherpa Assistant
Date Deposited: 27 Mar 2008 15:06
Last Modified: 17 Oct 2013 14:16
Published Version: http://dx.doi.org/10.1109/TASL.2006.881681
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/3709

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