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滤波器的特性通常是分别由它的幅度特性或者用它的相移特性来表征,但两者并不同时采用。可实现的滤波器的传输函数是一种解析函数,该函数的实部和虚部分别对应于滤波器的幅度特性和相移特性。根据Cauchy-Riemann关系式,一个解析函数的实部和虚部是不可能任意改变的。本文介绍一种新的改进型滤波器,这种滤波器是将阻带中的幅度衰减和在通带中满足于数据传输的线性相位二者折衷考虑来实现的。采用本方法获得的六极点滤波器将被详细叙述。由最佳传输函数所得到的多项式滤波器中的谐振器损耗,可借助于均匀预畸来加以考虑。
The characteristics of a filter are usually characterized by its amplitude characteristics or its phase shift characteristics, respectively, but the two are not used at the same time. The achievable filter transfer function is an analytic function whose real and imaginary parts correspond to the amplitude and phase shift characteristics of the filter, respectively. According to the Cauchy-Riemann relation, the real and imaginary parts of an analytic function can not be arbitrarily changed. This article describes a new improved filter that takes the trade-off between amplitude attenuation in the stopband and the linear phase in the passband that satisfies the data transfer. The six-pole filter obtained by this method will be described in detail. The resonator loss in the polynomial filter resulting from the optimal transfer function can be considered with the aid of uniform pre-distortion.