Uniformly Damped Binomial Filters: Five-percent Maximum Overshoot Optimal Response Design

In this paper, the five-percent maximum overshoot design of uniformly-damped binomial filters (transfer-functions) is introduced. First, butterworth filter response represented as a damped-binomial response. To extend maximum-overshoot second-order to higher orders, theorem extended theorem. It shown that compromise between and standard filter, with respect filter-approximation problem in time frequency domain. Finally, paper concludes applications interest, such step-tracking, where both strong filtering fast, smooth transient-response, negligible are desired, normalized form candidate replacement for forms.