Title :
Multiresolution transform matrices
Author :
Marshall, T.G., Jr.
Author_Institution :
Center for Digital Signal Process. Res., Rutgers Univ., Piscataway, NJ, USA
Abstract :
Matrix descriptions of subband coders are introduced and used to obtain transform matrices of pyramidal and related algorithms. These matrices are generalizations of the Haar matrix, and they are all shown to have a stratified structure related to circulant matrix structure. An implementation of a class of biorthogonal digital filter banks (DFBs) with an efficient predictive structure is introduced. DFBs and pyramids optimal for quantization are also introduced
Keywords :
Z transforms; digital filters; encoding; matrix algebra; picture processing; Haar matrix generalisations; Z-transforms; biorthogonal digital filter banks; circulant matrix structure; image processing; implementation; multiresolution transform matrices; predictive structure; pyramidal algorithms; subband coders; Digital filters; Digital signal processing; Equations; Ice; Prototypes; Quantization; Signal processing algorithms; Signal resolution; Vectors; Wavelet transforms;
Conference_Titel :
Signals, Systems and Computers, 1991. 1991 Conference Record of the Twenty-Fifth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-2470-1
DOI :
10.1109/ACSSC.1991.186492
