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本文提出了一种从模拟低通原型滤波器的振幅平方函数设计“无限脉冲响应(IIR)”数字滤波器的方法.此方法具有如下突出优点:1.能获得最小相位数字滤波器;2.此方法具有很大的灵活性.滤波器设计人员可根据实际需要,既能方便地设计出其振幅响应与原参考模拟滤波器振幅响应十分拟合的数字滤波器,也能方便地设计出其振幅响应与原参考模拟滤波器只在通带拟合,而在过渡带和阻带则较之原参考模拟滤波器衰减快得多的数字滤波器;3.此方法能从模拟低通原型滤波器直接设计出相应类型的任何低通、高通、带通和带阻数字滤波器,而不需中间转换步骤,因而设计步骤简单,使用方便.作者用此方法设计了十个数字滤波器,全都获得了理想的结果,从而证明了文中提出的方法是正确的,令人满意的！
This paper presents a method of designing an infinite impulse response (IIR) digital filter from the amplitude squared function of an analog lowpass prototype filter, which has the following outstanding advantages: 1. Minimal phase digital filter can be obtained; This method has a great deal of flexibility.Filter designers can easily design the digital filter whose amplitude response fits the amplitude response of the original reference analog filter according to the actual needs and also can easily design its The amplitude response is fitted to the original reference analog filter only in the passband and is much faster at the transition and stopbands than the original reference analog filter. 3. This method can filter from analog lowpass prototypes The direct design of the corresponding type of any low-pass, high-pass, band-pass and band-stop digital filter, without the need for intermediate conversion steps, so the design steps are simple and easy to use the author designed ten digital filters, all Obtained the desired result, which proves that the method proposed in this paper is correct and satisfying!