2. An ITI system has impulse response h(t) = exp(-t)u(t). We have seen in class that when the input to a LTI system with impulse response h(t) is r(t) = exp(jwt), the output is y(t) = H(w) expjwt, where H(w) = oh(t) exp(-jwt)dt. (a) Use this to find the output when the input signal is a(t)cos b) Find the output when the input signal is (twt (c) Now suppose the input to this LTI system is the rectified periodic signal y(t) = lx(t)l = 1155 cos2n60tl (as in proble1), whose Fourier series you have already determined. Determine the Fourier series of the output signal For #11 got: 2. An ITI system has impulse response h(t) = exp(-t)u(t). We have seen in class that when the input to a LTI system with impulse response h(t) is r(t) = exp(jwt), the output is y(t) = H(w) expjwt, where H(w) = oh(t) exp(-jwt)dt. (a) Use this to find the output when the input signal is a(t)cos b) Find the output when the input signal is (twt (c) Now suppose the input to this LTI system is the rectified periodic signal y(t) = lx(t)l = 1155 cos2n60tl (as in proble1), whose Fourier series you have already determined. Determine the Fourier series of the output signal For #11 got