斯托克斯多项式滤波器

I. Filanovsky
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引用次数: 7

摘要

本文利用英国物理学家Sir G.G. Stokes引入的多项式,研究了一类新的带有传递函数的滤波器。滤波器是贝塞尔滤波器和巴特沃斯滤波器之间的过渡。当比较相同阶数和相同-3dB带宽的贝塞尔、斯托克斯和巴特沃斯滤波器的阶跃响应时,结果如下。贝塞尔滤波器在阶跃瞬态响应中具有一定的延迟和(实际上)无超调。Stokes滤波器具有比贝塞尔滤波器更大的延迟和较小的超调。最后,巴特沃斯滤波器具有最大的延迟和最大的超调。本文阐述了Stokes滤波器的这些特性,并描述了合成Stokes滤波器所需的数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stokes polynomial filters
The paper considers a new class of filters with transfer functions using the polynomials introduced by the British physicist Sir G.G. Stokes. The filters are transitional between Bessel and Butterworth ones. When one compares the step-responses of Bessel, Stokes, and Butterworth filters of the same order and the same -3dB bandwidth then the result is following. The Bessel filters have a certain delay and (practically) no overshoot in their step-transient response. The Stokes filters have larger delay than Bessel filters and a small overshoot. Finally, the Butterworth filters have largest delay and largest overshoot. The paper illustrates these properties and describes the data required for synthesis of the Stokes filters.
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