Transfer function Conversion I

\[
\text{Example: for low-pass: } T_{LP}(s) = \frac{1}{s^2 + 2s + 1}
\]

\[
\text{Replace } s \text{ with } \Omega s: 
\quad T_{\text{newLP}}(s) = \frac{1}{(\Omega s)^2 + 2 (\Omega s) + 1} = \frac{1}{\Omega^2 s^2 + 2 \Omega s + 1}
\]

\[
\text{For normalized value } \Omega = 1 \text{ rad/sec: } 
T_{\text{newLP}}(s) = \frac{1}{s^2 + 2s + 1}
\]