Balanced spatial and frequency localised 2-D nonseparable wavelet filters

Author

Tay, David B H

Author_Institution

Dept. of Electron. Eng., La Trobe Univ., Bundoora, Vic., Australia

Volume

2

fYear

2001

fDate

6-9 May 2001

Firstpage

489

Abstract

A filter cannot have simultaneous localization in the spatial domain and the frequency domain by virtue of the uncertainty principle: there is a trade-off between spatial and frequency localizations. The design of two-dimensional wavelet filters on the quincunx sampling lattice is considered in this paper. The filters are optimized with respect to the Balanced-Localization (BL) metric. The BL metric represents a balance between the spatial localization and frequency localization of a filter. An efficient technique is proposed for designing a class of biorthogonal wavelet filters with prescribed regularity

Keywords

lattice filters; two-dimensional digital filters; wavelet transforms; Balanced-Localization metric; frequency localised 2D nonseparable wavelet filters; frequency localization; quincunx sampling lattice; regularity; spatial localization; uncertainty principle; Electronic mail; Filter bank; Frequency domain analysis; Kernel; Lattices; Low pass filters; Spine; Two dimensional displays; Uncertainty; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921114

Filename

921114