Paper Info
Title
Thiele's continued fractions in digital implementation of noninteger differintegrators.
Abstract
A rational approximation is the preliminary step of all the indirect methods for implementing digital fractional differintegrators s ν, with \({\nu \in \mathbb{R}, 0<|\nu| <1 }\) , and where \({s \in \mathbb{C}}\) . This paper employs the convergents of two Thiele’s continued fractions as rational approximations of s ν. In a second step, it uses known s-to-z transformation rules to obtain a rational, stable, and minimum-phase z-transfer function, with zeros interlacing poles. The paper concludes with a comparative analysis of the quality of the proposed approximations in dependence of the used s-to-z transformations and of the sampling period.
Year
DOI
Venue
2012
10.1007/s11760-012-0319-z
Signal, Image and Video Processing
Keywords
Field
DocType
Digital noninteger order differintegrators, IIR filters, Continued fraction expansion, Discretization schemes, Zero-pole interlacing
Discrete mathematics,Interlacing,Continued fraction,Pattern recognition,Mathematical analysis,Sampling (signal processing),Approximations of π,Artificial intelligence,Mathematics
Journal
Volume
Issue
ISSN
6
3
1863-1711
Citations 
PageRank 
References 
4
0.49
10
Authors
1
Name
Order
Citations
PageRank
Guido Maione15412.37