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On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies

Hacihabiboglu, H, Gunel, B and Kondoz, AM (2008) On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies IEEE SIGNAL PROCESSING LETTERS, 15. 9 - 12. ISSN 1070-9908

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Abstract

Digital waveguide mesh (DWM) models are numerical solvers for the wave equation in N-dimensions. They are used for obtaining the traveling-wave solution in practical acoustical modeling applications. Although unstructured meshes can be used with DWMs, regular mesh topologies are traditionally used due to their implementation simplicity. This letter discusses the accuracy of first-order approximations to numerical derivatives on more general unstructured mesh topologies. The results are applied to structured, regular mesh topologies as used in DWM modeling. A comparison of 2-D and 3-D DWM topologies with respect to the accuracy of first-order approximations to numerical derivatives is presented.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Technology, Engineering, Electrical & Electronic, Engineering, acoustic signal processing, acoustical modeling, digital waveguides, finite difference methods, multidimensional sampling, numerical derivatives
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Divisions: Faculty of Engineering and Physical Sciences > Electronic Engineering > Centre for Communication Systems Research
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:45
Last Modified: 23 Sep 2013 18:35
URI: http://epubs.surrey.ac.uk/id/eprint/1845

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