A$.$ IIR Filter Design: Design a minimum order low pass filter with a time step of $0\mathrm{.}1sec$ that will meet the following specifications:

Pass Band: $0500$kra$\frac{d}{s}$;$,1|H_p|-3dB$

Stop Band: ${}_{s}1500$kra$\frac{d}{s}$;$,|H_s|-40dB.$

Start by scaling the problem to a corner frequency of $1ra\frac{d}{sec}.$ Choose $H(s)$ that meets the above criteria. Plot the Laplace domain Bode plot.

Use the $Z$ transform method to get the $Z$ domain transfer function $H(z)$ that will give an equivalent response. Give the specific $H(z)$ transfer function and the corresponding Bode plot. Indicate the angles corresponding to the edges of the passband and stopband.