Multiresolution transform matrices

Author

Marshall, T.G., Jr.

Author_Institution

Center for Digital Signal Process. Res., Rutgers Univ., Piscataway, NJ, USA

fYear

1991

fDate

4-6 Nov 1991

Firstpage

461

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1991. 1991 Conference Record of the Twenty-Fifth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-2470-1

Type

conf

DOI

10.1109/ACSSC.1991.186492

Filename

186492

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2905851