Lattice structure for multifilters derived from complex-valued scalar filter banks

Kurt A. Johnson; Truong Q. Nguyen

doi:10.1117/12.255261

23 October 1996 Lattice structure for multifilters derived from complex-valued scalar filter banks

Kurt A. Johnson, Truong Q. Nguyen

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255261
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Multiwavelet-based filter banks, unlike filter banks based on scalar wavelets, are able to provide simultaneously orthogonality, linear phase, and short support. However, a general lattice structure for multifilters, analogous to that available for scalar filter banks has yet to be determined.. Such lattice structures have considerable advantages for both theory and design. This paper derives a complete and minimal lattice structure for a class of 2- wavelet multifilters which are based on complex-valued orthogonal scalar filter banks. An example derived from the Daubechies D₆ wavelet is presented, along with considerations of how requiring symmetry and higher approximation order restricts the lattice coefficients.

Citation Download Citation

Kurt A. Johnson and Truong Q. Nguyen "Lattice structure for multifilters derived from complex-valued scalar filter banks", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255261

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