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

fYear

1991

fDate

14-17 Apr 1991

Firstpage

2813

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150987

Filename

150987