Detecting Singularities with Harmonic Wavelets |
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| Authors: | CATTANI Carlo YANG Jian-guo |
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| Institution: | 1. DiFarma University of Salerno, Via Ponte Don Melillo, Fisciano (SA) 84084, Italy
2. College of Mechanical Engineering, Donghua University, Shanghai 201620, China |
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| Abstract: | A simple method,based on harmonic wavelet analysis is proposed for the decomposition of a given energy bounded signal into a periodic signal and a pulse.Alike a denoising method,the first part signal it might represent a smooth periodic function while the pulse is a singular unpredicted perturbation (taken as a fault).It will be shown that,under some general conditions,by a simple projection into two disjoint space of functions we can easily separate the periodic component of the signal from the fault (repr... |
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| Keywords: | wavelets signal noise Fourier series |
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