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Realise the following function in Cauer-I and Cauer-II from \[ Z(s)=\dfrac {(s+1)(s+3)}{(s+2)(s+6)} \]
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$\begin{align} z\left(s\right)&=\dfrac{\left(s+1\right)\left(s+3\right)}{\left(s+2\right)\left(s+6\right)}\[2ex] &=\frac{s^2+4s+3}{s^2+8s+12} \end{align}$

AUER –I

As negative terms result continued frailer expansion of y(s) is carried out

Cauer -11

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