DocumentCode :
1160786
Title :
Operational Calculus for Finite Rings
Author :
Richalet, J.
Volume :
12
Issue :
4
fYear :
1965
fDate :
12/1/1965 12:00:00 AM
Firstpage :
558
Lastpage :
570
Abstract :
By means of the theory of Galois fields and formal series, it is possible to develop an operational calculus for the finite sequence space of finite fields and rings, where group laws are modulo 
sum and product; whether is prime or not. The sequences that can be treated are ultimately periodic. Elementary properties of this calculus are given and application to linear sequential systems is made possible by the introduction of transfer functions. Examples are described where the proposed calculus can be used to advantage.
sum and product; whether is prime or not. The sequences that can be treated are ultimately periodic. Elementary properties of this calculus are given and application to linear sequential systems is made possible by the introduction of transfer functions. Examples are described where the proposed calculus can be used to advantage.Keywords :
Calculus; Circuit theory; Control systems; Control theory; Filtering theory; Galois fields; Logic; Numerical analysis; Thin film circuits; Transient response;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1965.1082479
Filename :
1082479
Link To Document :
