DocumentCode
48997
Title
An Easy Pure Algebraic Method for Partial Fraction Expansion of Rational Functions With Multiple High-Order Poles
Author
Youneng Ma ; Jinhua Yu ; Yuanyuan Wang
Author_Institution
Dept. of Electron. Eng., Fudan Univ., Shanghai, China
Volume
61
Issue
3
fYear
2014
fDate
Mar-14
Firstpage
803
Lastpage
810
Abstract
An easy practical algebraic algorithm was proposed for partial expansion of rational functions with multiple high-order poles. The simple recursive implementation of the proposed method involves neither long division nor differentiation and requires only elementary arithmetic operations. It is suitable for computer or hand calculation of partial expansion of both proper and improper functions with multiple high-order poles with desirable accuracy.
Keywords
arithmetic; poles and zeros; rational functions; computer calculation; easy practical algebraic algorithm; elementary arithmetic operations; hand calculation; improper functions; multiple high-order poles; partial fraction expansion; rational functions; recursive implementation; Functional analysis; Mathematical model; Poles and zeros; Polynomials; Binomial coefficients; multiple poles; partial fraction expansion; rational functions;
fLanguage
English
Journal_Title
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher
ieee
ISSN
1549-8328
Type
jour
DOI
10.1109/TCSI.2013.2283998
Filename
6630126
Link To Document