The fractional spline wavelet transform: Definition end implementation
Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Journal Volume
1
ISBN
0780362934
Date Issued
2000-01-01
Author(s)
Unser, Michael
Abstract
We define a new wavelet transform that is based on a previously defined family of scaling functions: The fractional B-splines. The interest of this family is that they interpolate between the integer degrees of polynomial B-splines and that they allow a fractional order of approximation. The orthogonal fractional spline wavelets essentially behave as fractional differentiators. This property seems promising for the analysis of 1/fα noise that can be whitened by an appropriate choice of the degree of the spline transform. We present a practical FFT-based algorithm for the implementation of these fractional wavelet transforms, and give some examples of processing.
Type
conference paper