4.3 Article

Harmonic wavelet approximation of random, fractal and high frequency signals

Journal

TELECOMMUNICATION SYSTEMS
Volume 43, Issue 3-4, Pages 207-217

Publisher

SPRINGER
DOI: 10.1007/s11235-009-9208-3

Keywords

Harmonic wavelets; Signal analysis; Denoising; Random; Scale; Self-similar; Discrete Fourier series

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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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