Question: The transfer function of a second-order low-pass filter has the form [ T(s)=frac{K}{left(frac{s}{omega_{0}}ight)^{2}+2 zetaleft(frac{s}{omega_{0}}ight)+1} ] Show by replacing (mathrm{s} / omega_{mathrm{o}}) by (omega_{mathrm{o}} / mathrm{s}),

The transfer function of a second-order low-pass filter has the form

\[
T(s)=\frac{K}{\left(\frac{s}{\omega_{0}}ight)^{2}+2 \zeta\left(\frac{s}{\omega_{0}}ight)+1}
\]

Show by replacing $\mathrm{s} / \omega_{\mathrm{o}}$ by $\omega_{\mathrm{o}} / \mathrm{s}$, you obtain a transfer function of a second-order high-pass filter.

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