DocumentCode
1449542
Title
Rational approximation of irrational functions by linear fractional transformations
Author
Wing, Omar ; Jiang, Yao-Lin ; Yu, Qing-Jian
Author_Institution
Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong
Volume
45
Issue
11
fYear
1998
fDate
11/1/1998 12:00:00 AM
Firstpage
1216
Lastpage
1221
Abstract
The cascaded two-port circuit theory is generalized and applied to the approximation of the square root of a rational function by a 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
Keywords
approximation theory; cascade networks; network parameters; rational functions; transfer functions; two-port networks; cascaded two-port circuit theory; irrational functions; linear fractional transformations; order of approximation; rational approximation; relative error; two-port parameters; Approximation methods; Circuit theory; Convergence; Councils; Distributed parameter circuits; Impedance; Propagation losses; Transmission line theory;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.735447
Filename
735447
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