Wavelet Extraction of a Pulse from a Periodic Signal

Authors:
Carlo Cattani
Affiliations:
DiFarma University of Salerno, Fisciano (SA) I-84084
Venue:
ICCSA '08 Proceeding sof the international conference on Computational Science and Its Applications, Part I
Year:
2008

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Abstract

A method, based on harmonic wavelet decomposition is proposed for the analysis of signals made by a periodic function and by a pulse (bounded function in space domain). It will be shown that, under some general conditions, a function can be represented in terms of harmonic wavelet and Fourier bases, which are orthogonal each other. By a simple projection into each space component we obtain the periodic (or pulse) component of the signal.