Title :
Frame analysis of wavelet type filter banks
Author :
Stanhill, David ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
The discrete wavelet transform, and multiresolution analysis, can be viewed as the application of a non-uniform filter bank. The polyphase matrix representation of the corresponding frame operator is given for general oversampled wavelet-type filter banks. The issue of lower and upper bounds of the frame and their relation to those of the underlying one level filter bank frame is treated, and bounds are given in a few special cases. A few examples are presented demonstrating the use of the results obtained
Keywords :
band-pass filters; filtering theory; matrix algebra; signal representation; signal resolution; signal sampling; wavelet transforms; discrete wavelet transform; filter bank frame; frame analysis; frame operator; lower bounds; multiresolution analysis; nonuniform filter bank; oversampled wavelet-type filter banks; polyphase matrix representation; upper bounds; Channel bank filters; Discrete wavelet transforms; Filter bank; Filtering; Multiresolution analysis; Signal processing; Signal resolution; Signal synthesis; Upper bound; Wavelet analysis;
Conference_Titel :
Digital Signal Processing Workshop Proceedings, 1996., IEEE
Conference_Location :
Loen
Print_ISBN :
0-7803-3629-1
DOI :
10.1109/DSPWS.1996.555555
