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

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.<
>