211268
20190213064603.0
10.1109/ICASSP.2000.862030
doi
ARTICLE
The Fractional Spline Wavelet Transform: Definition and Implementation
2000
IEEE
2000
Journal Articles
We define a new wavelet transform that is based on a recently 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 a fractional differentiators. This property seems promising for the analysis of $ 1/f ^{ \alpha } $ ; 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.
eng
Blu, T.
115589
240171
Unser, M.
115227
240182
512–515
Istanbul, Turkey
Proceedings of the Twenty-Fifth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'00)
URL
http://bigwww.epfl.ch/publications/blu0001.html
URL
http://bigwww.epfl.ch/publications/blu0001.pdf
URL
http://bigwww.epfl.ch/publications/blu0001.ps
LIB
252054
U10347
oai:infoscience.tind.io:211268
article
GLOBAL_SET
STI
EPFL-ARTICLE-211268
blu0001/LIB
EPFL
PUBLISHED
REVIEWED
ARTICLE