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
fDate :
11/1/1998 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
