Problem #$5-$Applying Filter Circuit A:

The input signal Vin $($t$)$ has the following function $($same as HW$08-$T$)$:

$!"()=3$ sin$42+389+7$ cos$(5)5$ sin$413+489$

We will consider the $2\mathrm{.}5$ Hz cosine term to be the $$noise$,$ and the two sine terms the $$signal$.$ Using the

circuit design from problem $3$a$,$ determine:

a$)$ The equation for the output signal, Vout $($t$)$

b$)$ The signal$-$to$-$noise ratio $($S$/$N$)$ of both Vin and Vout in decibels of power $($dB$).$ We will define S$/$N

ratio as:

$=$#$$\%$&$\text{'}!(")*$

$$#$$\%$&$"+!\text{'},$