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.

Wavelet Extraction of a Pulse from a PeriodicSignal

CATTANI, Carlo
2008-01-01

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.
2008
9783540698388
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3573877
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