[hal-01076429] Analytical formulation of the fractal dimension of filtered stochastic signals

The aim of this study was to investigate the effects of a linear filter on the regularity of a given stochastic process in terms of the fractal dimension This general approach described in a continuous time domain is new and is characterized by its simplicity The framework of this problem is general since it emerges when a fractal process undertakes a transformation as is the case in denoising or measurement processes



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