New fast discrete wavelet
Benjamin La Borde · 2002
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.