Title :
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
fDate :
8/1/1991 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
