Design a lowpass filter satisfying the following specifications:

\[\begin{aligned}M(\Omega T)=1.0, & \text { for } 0.0 \Omega_{\mathrm{s}}<\Omega<0.1 \Omega_{\mathrm{s}} \\M(\Omega T)=0.5, & \text { for } 0.2 \Omega_{\mathrm{s}}<\Omega<0.5 \Omega_{\mathrm{s}} \\\tau(\Omega T)=4.0, & \text { for } 0.0 \Omega_{\mathrm{s}}<\Omega<0.1 \Omega_{\mathrm{s}} .\end{aligned}\]