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

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2008-01-01

Author

Hacıhabiboğlu, Hüseyin
Günel Kılıç, Banu

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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.

Subject Keywords

Acoustic signal processing, Acoustical modeling, Digital waveguides, Finite difference methods, Multidimensional sampling, Numerical derivatives

URI

https://hdl.handle.net/11511/31312

Journal

IEEE SIGNAL PROCESSING LETTERS

DOI

https://doi.org/10.1109/lsp.2007.911162

Collections

Graduate School of Informatics, Article

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Citation Formats

H. Hacıhabiboğlu and B. Günel Kılıç, “On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies,” IEEE SIGNAL PROCESSING LETTERS, pp. 9–12, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31312.