Comparison between Chebyshev and power series expansion functions for interpolating data

Author

Chakravorty, Sayantan ; Min, Sung-Hwan ; Swaminathan, Madhavan

Author_Institution

Dept. of Comput. Sci. & Eng., Indian Inst. of Technol., Kharagpur, India

fYear

2001

fDate

2001

Firstpage

153

Lastpage

156

Abstract

A study is made of the relative advantages and disadvantages of using power series and Chebyshev polynomials to obtain a rational function representation of the data. This rational function must satisfy both the stability and passivity criteria. The procedures used for obtaining the rational function representation using both Chebyshev polynomials and power series is outlined in the paper. Three test cases have been used to compare the relative performance of the power series and Chebyshev polynomials

Keywords

Chebyshev approximation; circuit stability; frequency-domain analysis; interpolation; linear network analysis; passive networks; polynomials; rational functions; series (mathematics); time-domain analysis; transfer functions; Chebyshev functions; data interpolating; frequency domain; linear passive network; passivity criteria; power series expansion functions; rational function representation; stability criteria; test cases; time domain; transfer functions; Chebyshev approximation; Computer science; Data engineering; Equations; Frequency; Passive networks; Polynomials; Power engineering and energy; Power engineering computing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Performance of Electronic Packaging, 2001

Conference_Location

Cambridge, MA

Print_ISBN

0-7803-7024-4

Type

conf

DOI

10.1109/EPEP.2001.967634

Filename

967634