Title :
Rational approximation of some irrational functions through a flexible continued fraction expansion
Author_Institution :
Indian Institute of Technology, New Delhi, India
Abstract :
A simple method is given for the continued fraction expansion (CFE) of the irrational functions (s2+ 1)1/2, (s + 1)1/2, and s1/2with adjustable parameters. Explicit formulas are derived for the coefficients of the rational function obtained by truncating such a CFE. The flexibility offered by the adjustable parameters is illustrated by an example.
Keywords :
Admittance; Analytical models; Circuits; Control systems; Difference equations; Diffusion processes; Network synthesis; Writing;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1982.12233