DocumentCode :
1195214
Title :
A unified theory of lumped circuits and differential systems based on Heaviside operators and causality
Author :
Davis, Artice M.
Author_Institution :
Dept. of Electr. Eng., San Jose State Univ., CA, USA
Volume :
41
Issue :
11
fYear :
1994
fDate :
11/1/1994 12:00:00 AM
Firstpage :
712
Lastpage :
727
Abstract :
The paper demonstrates that a coherent and logical foundation for circuits and systems can, in an entirely elementary manner, be based upon the Heaviside operational calculus and causality. It is commonly believed that the operational calculus is both difficult and nonrigorous; in fact, it is neither. Further, it is more general than the Laplace transform in that it involves integration over only a finite interval and thus introduces no convergence questions as does the latter. Since it analyzes circuits and systems directly in the time domain, the Heaviside method is more intuitive and direct to apply. Furthermore, it provides a theme, a motif, linking all of the major concepts of circuits and systems. It is argued here that circuit analysis and system theory are currently taught as disparate disciplines, both being presented as a collection of isolated topics. The Heaviside theory, on the other hand, permits the two to be taught in an integrated fashion-with circuits providing concrete examples and system theory the abstract and general mathematical methodology
Keywords :
calculus; circuit theory; lumped parameter networks; mathematical operators; physics fundamentals; spectral analysis; system theory; time-domain analysis; Heaviside operators; causality; differential systems; integration; lumped circuits; operational calculus; time domain analysis; unified theory; Books; Calculus; Circuit analysis; Circuits and systems; Concrete; Convergence; Joining processes; Laplace equations; Mathematics; Time domain analysis;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.331522
Filename :
331522
Link To Document :
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