Analytic, rational approximation of √s

Author

Wing, Omar

Author_Institution

Fac. of Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong

Volume

5

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

33

Abstract

Two analytically derived approximations of √s are presented. One is based on Newton´s algorithm to find the square root of a positive number and the second is derived from the input impedance of a cascade network of symmetric lattices in which the series impedance is progressively increasing and the shunt impedance is progressively decreasing. A rational function of order 9 gives an approximation with a relative error of less than 1% over a frequency range of 3½ decades; one of order 17 covers 8½ decades

Keywords

Newton method; cascade networks; distributed parameter networks; lattice networks; Newton´s algorithm; analytically derived approximations; cascade network; circuit model; distributed circuits; input impedance; lossy transmission lines; rational approximation; rational function; relative error; series impedance; shunt impedance; symmetric lattices; Distributed parameter circuits; Frequency; Impedance; Inductors; Lattices; Least squares approximation; Propagation losses; Resistors; Skin effect; Transient response;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409293

Filename

409293