New fast discrete wavelet

Author

La Borde, B.

Author_Institution

Univ. Coll. London

fYear

1996

fDate

18-21 Jun 1996

Firstpage

41

Lastpage

44

Abstract

This paper describes a new fast 6 tap wavelet for compression of 1D signals, 2D images and hyperspectral data. The wavelet is based on the standard conditions of orthonormality used by Daubechies (1992) and the accuracy conditions of Strang and Fix (1972), and uses the fast dyadic wavelet transform of Mallat and Sifen Zhong (1992). An extra degree of speed is added to the standard Daubechies wavelet by setting one tap equal to a half and adjusting the other taps to maintain perfect reconstruction and smoothness. The use of a binary power tap facilitates the use of arithmetic shift in place of floating point multiplication for one of the correlation components at each scale, thus giving an increase in speed for the wavelet transform and its inverse

Keywords

data compression; image coding; image reconstruction; signal reconstruction; spectral analysis; transform coding; transforms; wavelet transforms; 1D signals; 2D images; accuracy conditions; arithmetic shift; binary power tap; compression; correlation components; fast 6 tap wavelet; fast discrete wavelet; fast dyadic wavelet transform; hyperspectral data; inverse; orthonormality; perfect reconstruction; smoothness; standard Daubechies wavelet; Discrete wavelet transforms; Electrocardiography; Equations; Floating-point arithmetic; Solids; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Paris

Print_ISBN

0-7803-3512-0

Type

conf

DOI

10.1109/TFSA.1996.546681

Filename

546681