Second$-$Order Filter $2$a$)10$ points: Find the transfer function H $=$ Y $()()()$ X $.2$b$)20$ points: Design the filter so that it attenuates the noise by a factor of $10.$ Julio Jorge Gonz$$lez $2$c$)20$ points: The filter affects the noise severely. Unfortunately, it has a $$side effect$,$ as it also affects the signal $($though slightly$).$ With your design from part $2$b$)$: $$ Calculate the undesired attenuation experienced by the signal. What is the resulting signal to noise ratio $($S $/$ N$)$ y at the output? How close is it to the ideal target of $($S $/$ N$)$ y $=50/1?$ Calculate the undesired phase shift experienced by the signal.