基于时域误差要求的巴特沃斯滤波器设计

Butterworth filter design based on time-domain error requirements

考察了将输出信号时域误差要求引入经典滤波器设计指标的问题。从导出的时域误差上界可见,在对滤波器进行相位补偿后,这一误差上界已与滤波器幅度平方函数相联系,从而可据此形成时域误差设计指标。在此基础上,提出了一种新的可同时满足频域与时域性能指标的巴特沃斯滤波器设计方法,并给出了设计示例。

The problem of incorporating output signal error requirement into classical filter design procedure is addressed. Based on the derived upper bound of the time-domain signal errors, it is found that this bound can be obtained from the filter approximation function through phase compensation, thus can be used to construct the time-domain specification index. Based on the above discussion, a new design procedure to fulfill both time-domain and frequency-domain performance requirements is then systematically proposed for the Butterworth filter. Examples are also given.