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本文提出了一个设计IIR数字滤波器的新方法——任意响应不变法。叙述了设计原理,给出了设计公式。并得出由此设计的IIR数字滤波器对各次谐波分量的频响与相应的模拟滤波器对各次谐波分量的频响的数值完全相同,不存在频率混淆现象,能够实现理想逼近这一结论。同时讨论了由本方法设计的IIR滤波器的软设备综合方式,指出滤波器可以不受频率特性中幅度分段恒定的限制,能够适应各种幅度特性和相位特性的要求,包括理想滤波器。
This paper presents a new method for designing IIR digital filters - an arbitrary response invariant method. Described the design principle, given the design formula. It is concluded that the frequency response of the IIR digital filter to each subharmonic component is exactly the same as that of the corresponding analog filter to the subharmonic components. There is no frequency aliasing and the ideal approximation This conclusion. At the same time, the synthesis of soft devices of the IIR filter designed by this method is discussed. It is pointed out that the filter can not be limited by the constant amplitude section in the frequency characteristics and can adapt to various amplitude and phase characteristics, including the ideal filter.