Discrete Lattice Wavelet Transform

Author

Olkkonen, Juuso T. ; Olkkonen, Hannu

Author_Institution

VTT Tech. Res. Centre of Finland, Oulu

Volume

54

Issue

1

fYear

2007

Firstpage

71

Lastpage

75

Abstract

The discrete wavelet transform (DWT) has gained a wide acceptance in denoising and compression coding of images and signals. In this work we introduce a discrete lattice wavelet transform (DLWT). In the analysis part, the lattice structure contains two parallel transmission channels, which exchange information via two crossed lattice filters. For the synthesis part we show that the similar lattice structure yields a perfect reconstruction (PR) property. The PR condition can be used to design half-band filters, which effectively eliminate aliasing in decimated tree structured wavelet transform. The DLWT can be implemented directly to any of the existing DWT algorithms

Keywords

FIR filters; data compression; discrete wavelet transforms; filtering theory; image coding; lattice filters; signal denoising; compression coding; crossed lattice filters; decimated tree structured wavelet transform; discrete lattice wavelet transform; finite-impulse response filters; half-band filters; image denoising; lattice structure; parallel transmission channels; perfect reconstruction property; quadrature mirror filters; signal denoising; Discrete wavelet transforms; Image coding; Image reconstruction; Information analysis; Information filtering; Information filters; Lattices; Noise reduction; Signal synthesis; Wavelet transforms; Finite-impulse response (FIR) filters; lattice filters; quadrature mirror filters (QMFs); wavelet transform;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.883097

Filename

4063481