DocumentCode :
1172671
Title :
Combinatorial rules for some useful transformations
Author :
Jury, Eliahu I. ; Chan, O. W c
Volume :
20
Issue :
5
fYear :
1973
fDate :
9/1/1973 12:00:00 AM
Firstpage :
476
Lastpage :
480
Abstract :
The various transformations involved in transforming the polynomial 
into the polynomial 
are discussed. In particular, the entries of the 
-matrix of the matrix transformation ![b] = Qa]](/images/tex/10961.gif)
are generated in easily obtained combinatorial rules. The various applications of the transformations in the stability study of discrete systems in aperiodicity conditions in evaluation of total square integrals and in digital-filter design are enumerated.
into the polynomial are discussed. In particular, the entries of the -matrix of the matrix transformation are generated in easily obtained combinatorial rules. The various applications of the transformations in the stability study of discrete systems in aperiodicity conditions in evaluation of total square integrals and in digital-filter design are enumerated.Keywords :
Bilinear transformations; Discrete-time linear systems; General theory; Laplace transforms; Matrix methods; Polynomials; Stability; Z transforms; Data systems; Discrete transforms; Intersymbol interference; Polynomials; Power generation; Stability; System testing;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1973.1083716
Filename :
1083716
Link To Document :
