Title :
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
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;
Conference_Titel :
Electrical Performance of Electronic Packaging, 2001
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-7024-4
DOI :
10.1109/EPEP.2001.967634
