A note on oscillations in Walsh-domain analysis of first-order systems

Author

Deb, Anish ; Fountain, David W.

Author_Institution

Dept. of Appl. Phys., Calcutta Univ., India

Volume

38

Issue

8

fYear

1991

fDate

8/1/1991 12:00:00 AM

Firstpage

945

Lastpage

948

Abstract

Oscillations found in Walsh-domain analysis of first-order systems are characterized. A useful condition for occurrence of such oscillations is given, and the expression for the percentage maximum overshoot for different system time constants, scaling constants and number of Walsh functions in the set considered are derived. Several graphs are presented to show the variational behavior of the percentage maximum overshoot. The reasons for this oscillatory phenomenon are discussed. Comparisons are also made between the actual time-domain solution and the Walsh-domain solution which gives rise to oscillations if the derived constraints are violated

Keywords

Walsh functions; system theory; Walsh-domain analysis; Walsh-domain solution; first-order systems; number of Walsh functions; oscillations; oscillatory phenomenon; percentage maximum overshoot; scaling constants; system time constants; time-domain solution; variational behavior; Built-in self-test; Circuit faults; Circuit testing; Circuits and systems; Fourier series; Hardware; Logic circuits; Logic testing; Notice of Violation; Programmable logic arrays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.85636

Filename

85636