Design of perfect reconstruction finite impulse response (FIR) 2-channel filter banks in 3D with face-centered orthorhombic (FCO) sampling using transformations of variables

David B. H. Tay; Nick G. Kingsbury

doi:10.1117/12.186563

21 September 1994 Design of perfect reconstruction finite impulse response (FIR) 2-channel filter banks in 3D with face-centered orthorhombic (FCO) sampling using transformations of variables

David B. H. Tay, Nick G. Kingsbury

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Proceedings Volume 2298, Applications of Digital Image Processing XVII; (1994) https://doi.org/10.1117/12.186563
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

In this paper we present a technique to design 2-channel filter banks in 3 dimensions where the sampling is on the FCO (face centered orthorhombic) lattice. The ideal 3-D subband is of the truncated octahedron shape. It is based on the transformation of variable method and it is equivalent to the generalized McClellan transformation. The filters are FIR, have linear phase, and achieve perfect reconstruction. Although the subband shape is quite complicated the ideal frequency characteristics are well approximated. This is illustrated with an example. The technique provides the flexibility of controlling the frequency characteristics of the filters with ease. The filters can be implemented quite efficiently due to the highly symmetrical nature of the coefficients of the transformation.

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David B. H. Tay and Nick G. Kingsbury "Design of perfect reconstruction finite impulse response (FIR) 2-channel filter banks in 3D with face-centered orthorhombic (FCO) sampling using transformations of variables", Proc. SPIE 2298, Applications of Digital Image Processing XVII, (21 September 1994); https://doi.org/10.1117/12.186563

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KEYWORDS

Optical filters

Digital filtering

Linear filtering

Diamond

Finite impulse response filters

Electronic filtering

Filtering (signal processing)

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