Translator Disclaimer
27 September 2011 Tight frame 6-band symmetric wavelets with limited redundancy
Author Affiliations +
We consider the design of 6-channel tight frame symmetric wavelet with scaling factor M = 4. The lowpass filter is designed using either Grobner bases or truncated Taylor series methods. The bandpass and highpass filters are then designed using Grobner bases. The resulting filters have linear phase, smooth limit functions, and reduced redundancy. It was possible to obtain filterbanks with K0 (zeros at z = 1 and z = ±j for the lowpass filter) up to 5 and Kmin (zeros at z = 1 for bandpass/highpass filters) of 1 or greater. The proposed filterbanks generate five wavelets and a scaling function with the underlying filters related as follows: H5-i(z) = Hi(-z), i = 0... 5.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Farras Abdelnour "Tight frame 6-band symmetric wavelets with limited redundancy", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381T (27 September 2011);


Dense grid sibling frames with linear phase filters
Proceedings of SPIE (September 26 2013)
Arithmetic gain of the lifting scheme
Proceedings of SPIE (December 05 2001)
Dual frame symmetric wavelets with limited redundancy
Proceedings of SPIE (September 04 2009)
Filter design for directional multiresolution decomposition
Proceedings of SPIE (September 17 2005)

Back to Top