RATIONAL APPROXIMATION OF IRRATIONAL FUNCTIONS BY LINEAR FRACTIONAL TRANSFORMATIONS

Authors
WING O JIANG YL YU QJ
Citation
O. Wing et al., RATIONAL APPROXIMATION OF IRRATIONAL FUNCTIONS BY LINEAR FRACTIONAL TRANSFORMATIONS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(11), 1998, pp. 1216-1221
Citations number
9
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
45
Issue
11
Year of publication
1998
Pages
1216 - 1221
Database
ISI
SICI code
1057-7122(1998)45:11<1216:RAOIFB>2.0.ZU;2-N
Abstract
The cascaded two-port circuit theory is generalized and applied to the approximation of the square root of a rational function by a rational function in the form of a chain of linear fractional transformations. We prove the convergence of the approximation, and derive an explicit expression of the relative error in terms of the two-port parameters and the order of approximation. Examples are given.