Title :
New fast discrete wavelet
Author_Institution :
Univ. Coll. London
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;
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
DOI :
10.1109/TFSA.1996.546681
