Design a discrete component LC Chebyshev $0\mathrm{.}5$ dB bandpass filter for a $50$ system to meet the following specifications: the center frequency is $f_0=3GHz,$ the bandwidth is $15\%$ and the attenuation is at least $25$ dB at frequency $f=3\mathrm{.}75GHz.$

a$)$ Show that the minimum required filter order is $N=3.$ Recall for a bandpass filter $=\frac{f_0}{BW}(\frac{f}{f_0}-\frac{f_0}{f}).$

b$)$ Find the required component values using a low pass prototype with the first element a shunt capacitor.

c$)$ Sketch the resultant LC filter network.