Title :
M-channel nonrectangular wavelet representation for 2-D signals: basis for quincunx sampled signals
Author :
Guillemot, Christine ; Cetin, A. Enis ; Ansari, Rashid
Author_Institution :
CCETT, Cesson-Sevigne, France
Abstract :
The authors have described the framework underlying continuous and discrete families of nonseparable two-dimensional wavelets and an M -channel nonrectangular multiresolution wavelet representation for L2(R2) functions and I2 (Z2) sequences. Focusing on the case of quincunx sampled signals, solutions of digital filter banks for implementing the decomposition with different characteristics of linear phase and regularity for smoothing and wavelet functions are provided
Keywords :
digital filters; filtering and prediction theory; signal processing; telecommunication channels; M-channel nonrectangular wavelet; continuous wavelets; digital filter banks; discrete wavelets; linear phase; multiresolution wavelet; nonseparable two-dimensional wavelets; quincunx sampled signals; regularity; sequences; smoothing functions; wavelet functions; Continuous wavelet transforms; Discrete wavelet transforms; Filter bank; Image coding; Image representation; Image resolution; Image sampling; Signal resolution; Two dimensional displays; Wavelet analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150987