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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 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
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