On Sampling Methods for Linear Scale-Invariant Systems

Abstract : We study a class of self-similar processes that are not stationary, nor have stationary increments. They are called Euler-Cauchy (EC) processes and are built as output of linear scale-invariant parametric systems. This article study several discretization methods of EC processes which are not bandlimited processes: direct sampling, bilinear transformation and approximation on fractional B-splines. For the three different methods, we obtain theoretical formulae and compute numerical realizations and properties.
Type de document :
Communication dans un congrès
IEEE International Conference in Acoustic, Speech, and Signal Processing (ICASSP) 2006, May 2006, Toulouse, France. IEEE Signal Processing Society, pp.III-345 III-348, 2006
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00129551
Contributeur : Pierre Borgnat <>
Soumis le : jeudi 8 février 2007 - 10:49:26
Dernière modification le : jeudi 19 avril 2018 - 14:54:03
Document(s) archivé(s) le : mardi 6 avril 2010 - 23:26:13

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  • HAL Id : ensl-00129551, version 1

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Pierre Borgnat. On Sampling Methods for Linear Scale-Invariant Systems. IEEE International Conference in Acoustic, Speech, and Signal Processing (ICASSP) 2006, May 2006, Toulouse, France. IEEE Signal Processing Society, pp.III-345 III-348, 2006. 〈ensl-00129551〉

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