Paper Info
Title
Properties of Continued Fractions Approximations of Fractional Analog and Digital Operators
Abstract
This paper establishes a link between the Lagrange's continued fraction expansion (CFE) and two CFEs the author recently introduced for approximating the operators , and their discrete realizations. The zeros and poles of these new approximations alternate on the negative real half-axis of the s-plane (in the case of analog realizations) and on the real segment inside the unit circle of the z-plane (in the case of discrete realizations). Finally, the paper shows that the discrete approximations of s <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ν</sup> have poles and zeros enjoying a nice symmetrical distribution on the z-plane.
Year
DOI
Venue
2019
10.1109/CoDIT.2019.8820521
2019 6th International Conference on Control, Decision and Information Technologies (CoDIT)
Keywords
Field
DocType
continued fractions approximations,fractional analog,digital operators,CFE,discrete realizations,half-axis,analog realizations,discrete approximations,Lagrange continued fraction expansion,z-plane,symmetrical distribution,zeros and poles
Continued fraction,Pole–zero plot,Approximations of π,Pure mathematics,Unit circle,Operator (computer programming),Mathematics
Conference
ISSN
ISBN
Citations 
2576-3547
978-1-7281-0522-2
0
PageRank 
References 
Authors
0.34
10
1
Name
Order
Citations
PageRank
Guido Maione15412.37