论文标题
统一阻尼的二项式滤波器：最大最大超速响应设计
Uniformly-Damped Binomial Filters: Five-percent Maximum Overshoot Optimal Response Design
论文作者
论文摘要
在本文中，引入了均匀抑制二项式过滤器（转移功能）的五％最大超冲设计。首先，Butterworth滤波器响应表示为抑制二项式滤波器响应。为了扩展二阶Butterworth的最大范围响应对较高阶，二项式定理扩展到均匀抑制的二项式定理。结果表明，相对于时间和频域中的滤光片 - 透射率问题，五％均匀抑制的二项式滤波器是Butterworth滤波器和标准二项式滤波器之间的妥协。最后，本文得出的结论是，在感兴趣的应用中，例如踏板跟踪，在这种应用中，强烈的过滤和快速，平稳的瞬态反应，并且需要可忽略不计的过时，因此，五倍均匀抑制的二项式形式的响应都是对Butterworth和Standard Butterworth的候选二项式形式和标准的双向双向滤波器形式的候选替换。
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.
