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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.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00129551
Contributor : Pierre Borgnat Connect in order to contact the contributor
Submitted on : Thursday, February 8, 2007 - 10:49:26 AM
Last modification on : Wednesday, November 20, 2019 - 3:22:30 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 11:26:13 PM

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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, IEEE Signal Processing Society, May 2006, Toulouse, France. pp.III-345 III-348. ⟨ensl-00129551⟩

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