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从低通滤波器原型设计滤波器

从低通滤波器原型设计滤波器

设计一个模拟低通巴特沃斯滤波器，并将其转换成其他类型.

    
Wolfram Language code: lowpass = ButterworthFilterModel[3, s]; highpass = TransferFunctionTransform[1 / #&, lowpass]; bandpass = TransferFunctionTransform[(#^2 + 1/2#)&, lowpass]; bandstop = TransferFunctionTransform[(2 #/#^2 + 1)&, lowpass];
Wolfram Language code: Plot[{Abs[lowpass[I x]], Abs[highpass[I x]], Abs[bandpass[I x]], Abs[bandstop[I x]]}, {x, 0, 5}, PlotRange -> All, PlotStyle -> {Thick, Automatic, Automatic, Automatic}, PlotLegends -> {"lowpass", "highpass", "bandpass", "bandstop"}]