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Multiscale system theory

Abstract : In many applications, it is of interest to analyze and recognize phenomena occuring at different scales. The recently introduced wavelet transforms provide a time-and-scale decomposition of signals that offers the possibility of such an analysis. Until recently, however, there has been no corresponding statistical framework to support the development of optimal, multiscale statistical signal processing algorithms. A recent work of some of the present authors and co-authors proposed such a framework via models of "stochastic fractals" on the dyadic tree. In this paper we investigate some of the fundamental issues that are relevant to system theories on the dyadic tree, both for systems and signals.
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https://hal.inria.fr/inria-00075364
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Submitted on : Wednesday, May 24, 2006 - 6:04:24 PM
Last modification on : Friday, February 4, 2022 - 3:25:13 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 6:40:47 PM

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  • HAL Id : inria-00075364, version 1

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Albert Benveniste, Ramine Nikoukhah, Alan Willsky. Multiscale system theory. [Research Report] RR-1194, INRIA. 1990. ⟨inria-00075364⟩

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