已知G(z)=(73.11z^3-73.55z^2+0.4386z)/(z^3-3.142z^2+3.142z-1),若z=(1+w)/(1-w),求G(w)
时间: 2023-05-30 09:04:48 浏览: 138
将z=(1-w)/w代入G(z)中得:
G(w)=[73.11((1-w)/w)^3-73.55((1-w)/w)^2+0.4386((1-w)/w)]/[(1-w)^3/w^3-3.142(1-w)^2/w^2+3.142(1-w)/w-1]
化简得:
G(w)=[-0.0023w^3+0.0031w^2+0.4959w-0.0086]/[w^3-3.142w^2+3.142w-1]
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