مرکز منطقه ای اطلاع رساني علوم و فناوري - A note on the 2-D partial fraction expansion

DocumentCode :

1184226

Title :

A note on the 2-D partial fraction expansion

Author :

Agathoklis, P. ; Jury, E.I. ; Mansour, M.

Volume :

Issue :

fYear :

1980

fDate :

8/1/1980 12:00:00 AM

Firstpage :

719

Lastpage :

721

Abstract :

In this note it is shown that the 2-D composition $frac{A(z_1,z_2)A(z_{1}^{-1},z_{2}^{-1})} {B(z_1,z_2)B(z_{1}^{-1},z_{2}^{-1})} =$ $frac{P(z_1,z_2)}{B(z_1,z_2)} + frac{P(z_{1}^{-1},z_{2}^{-1})}{B(z_{1}^{-1},z_{2}^{-1})}$ contrary to the 1-D case, does not exist in general. Conditions for the existence of such a decomposition are obtained and applied to two examples.

Keywords :

Multivariable rational functions; Partial fraction expansions; Automatic control; Communication system control; Difference equations; Digital control; Digital filters; Filtering; Industrial electronics; Integral equations; Laboratories; Quantization;

fLanguage :

English

Journal_Title :

Circuits and Systems, IEEE Transactions on

Publisher :

ieee

ISSN :

0098-4094

Type :

jour

DOI :

10.1109/TCS.1980.1084873

Filename :

1084873

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1184226