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Harmonic wavelet approximation of random, fractal and high frequency signals

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Abstract

The analysis of a periodic signal with localized random (or high frequency) noise is given by using harmonic wavelets. Since they are orthogonal to the Fourier basis, by defining a projection wavelet operator the signal is automatically decomposed into the localized pulse and the periodic function. An application to the analysis of a self-similar non-stationary noise is also given.

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Authors and Affiliations

  1. DiFarma, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Carlo Cattani

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  1. Carlo Cattani
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Cattani, C. Harmonic wavelet approximation of random, fractal and high frequency signals. Telecommun Syst 43, 207–217 (2010). https://doi.org/10.1007/s11235-009-9208-3

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