Title :
On Sampling Methods for Linear Scale-Invariant Systems
Author_Institution :
Lab. de Physique, ENS Lyon
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
Keywords :
signal sampling; splines (mathematics); Euler-Cauchy processes; bilinear transformation; direct sampling; discretization methods; fractional B-splines approximation; linear scale-invariant parametric systems; sampling methods; self-similar processes; Brownian motion; Deformable models; Gaussian noise; Interpolation; Random processes; Sampling methods; Signal processing; Signal sampling; Signal synthesis; Spline;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1660661
