Inversion of z-transforms by solving appropriately formulated nonconstant coefficient difference equations

Author

Fabian, Ellis

Author_Institution

Xerox Research Centre of Canada, Mississauga, Ontario, Canada

Volume

Issue

fYear

1983

fDate

11/1/1983 12:00:00 AM

Firstpage

1057

Lastpage

1059

Abstract

This note introduces a novel method for obtaining closed-form analytical solutions for the inverse $Z$ -transform of functions in the class $\\exp(Q(z))$ with $Q(z)$ a polynomial. In the application considered here, the relevant difference equation turns out to be $y(s + 1) = cy(s)+sey(s - 1), s \\geq 1$ , for which a complete solution is derived.

Keywords

Difference equations; Z transforms; Difference equations; Differential equations; Kinetic theory; Lyapunov method; Polynomials; Power system analysis computing; Power system stability; Stability analysis; Synchronous machines; Testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1983.1103163

Filename

1103163

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=841032