3. (20 pts) Consider a periodic signal x(t) which can be represented by the first K Fourier Series coefficients. Determine the impulse response of the system that can yield x(t) when it is contaminated by a noise r(t) (i.e., the input to the system is x(t)r(t) and the output is r(t)), assuming that r(t) is composed of only very high-frequency components (namely, Ffr(t)) Rjw)-0 for lul < K2π/T, where T is the period of x(t)) 3. (20 pts) Consider a periodic signal x(t) which can be represented by the first K Fourier Series coefficients. Determine the impulse response of the system that can yield x(t) when it is contaminated by a noise r(t) (i.e., the input to the system is x(t)r(t) and the output is r(t)), assuming that r(t) is composed of only very high-frequency components (namely, Ffr(t)) Rjw)-0 for lul