Uniformly-Damped Binomial Filters: Five-percent Maximum Overshoot Optimal Response Design
Abstract
In this paper, the five-percent maximum overshoot design of uniformly-damped binomial filters (transfer-functions) is introduced. First, the butterworth filter response is represented as a damped-binomial filter response. To extend the maximum-overshoot response of the second-order butterworth to higher orders, the binomial theorem is extended to the uniformly-damped binomial theorem. It is shown that the five-percent uniformly-damped binomial filter is a compromise between the butterworth filter and the standard binomial filter, with respect to the filter-approximation problem in the time and frequency domain. Finally, this paper concludes that in applications of interest, such as step-tracking, where both strong filtering and a fast, smooth transient-response, with negligible overshoot are desired, the response of the normalized five-percent uniformly-damped binomial form is a candidate replacement for both the butterworth and standard binomial filter forms.
Cite
@article{arxiv.2007.00890,
title = {Uniformly-Damped Binomial Filters: Five-percent Maximum Overshoot Optimal Response Design},
author = {Oluwasegun A. Somefun and Kayode F. Akingbade and Folasade M. Dahunsi},
journal= {arXiv preprint arXiv:2007.00890},
year = {2022}
}
Comments
25 pages. To be published in the: Circuits, Systems and Signal Processing Journal (Springer Nature). Circuits Syst Signal Process (2022)