Chebyshev过渡型滤波器设计和分析

传统的Chebyshev滤波器具有较差的相位特性，其阶跃响应具有较大的过冲和较长的调节时间。本文从传递函数的极点角度，对Chebyshev滤波器进行了改进，改进后的滤波器表现出典型的过渡特性，在对幅度特性影响较小的情况下，改善了传统Chebyshev滤波器的相位特性和阶跃响应。通过对滤波器极点的调整，消除了传统Chebyshev滤波器过冲和传统偶数阶Chebyshev滤波器的稳态误差。

Design and Analysis of Chebyshev Transitional Filters

The conventional filters have a poor phase characteristic, i.e., the step responses of the filters possess big overshoot and long tuning time. From the point of the poles of the transfer function, a new improved Chebyshev filter is proposed. The improved filter exhibits typical transitional characteristics. The phase performance and step response are improved while the magnitude performance is not greatly affected. Through the adjustment of filter poles, the overshoot of traditional Chebyshev filters is eliminated, and the steady-state error of traditional even-order Chebyshev filters is eliminated as well.