| Paper: | SPTM-P3.10 | ||
| Session: | System Modeling, Representation and Identification | ||
| Time: | Tuesday, May 16, 16:30 - 18:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: System Modeling, Representation, and Identification | ||
| Title: | On Sampling Methods for Linear Scale-Invariant Systems | ||
| Authors: | Pierre Borgnat, Laboratoire de Physique (UMR CNRS 5672) ENS Lyon, France | ||
| 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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