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Proceedings Paper

Fast continuous wavelet transform based on B-splines
Author(s): Maria Arrate Munoz Barrutia; Raphael Ertle; Michael A. Unser
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Paper Abstract

The Continuous Wavelet Transform (CWT) is an effective way to analyze nonstationary signals and to localize and characterize singularities. Fast algorithms have already been developed to compute the CWT at integer time points and dyadic or integer scales. We propose here a new method that is based on a B-spline expansion of both the signal and the analysis wavelet and that allows the CWT computation at arbitrary scales. Its complexity is O(N), where N represents the size of the input signal; in other words, the cost is independent of the scale factor. Moreover, the algorithm lends itself well to a parallel implementation.

Paper Details

Date Published: 5 December 2001
PDF: 6 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449707
Show Author Affiliations
Maria Arrate Munoz Barrutia, Swiss Federal Institute of Technology/Lausanne (Switzerland)
Raphael Ertle, Swiss Federal Institute of Technology/Lausanne (Switzerland)
Michael A. Unser, Swiss Federal Institute of Technology/Lausanne (Switzerland)


Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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