Consider a cascaded LTI system S_1S_2 as follows x(t) rightarrow [S_1] rightarrow y(t) rightarrow [S_2] rightarrow z(t) The IPOP relation for S_1 is given by y(t) = integral_ – infinity^t e(^- (t – tau)x(tau) d tau The IPOP relation for S_2 is given by z(t) = integral_ – infinity^infinity cos(t – tau) y(tau) d tau Find the impulse response function of system S_1 and S_2, namely h_1(t) and h_2(t) Find the frequency response function of the cascaded system H_12(ohm) Find the amplitude and phase spectrum of output signal z(t) if the input signal is x(t) = sin(pi t)/ pi t

20 2 - Consider a cascaded LTI system S_1S_2 as follows x(t) rightarrow [S_1] rightarrow y(t) rightarrow [S_2] rightarrow z(t) The IPOP relation for S_1 is given by y(t) = integral_ - infinity^t e(^- (t - tau)x(tau) d tau The IPOP relation for S_2 is given by z(t) = integral_ - infinity^infinity cos(t - tau) y(tau) d tau Find the impulse response function of system S_1 and S_2, namely h_1(t) and h_2(t) Find the frequency response function of the cascaded system H_12(ohm) Find the amplitude and phase spectrum of output signal z(t) if the input signal is x(t) = sin(pi t)/ pi t

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images - Consider a cascaded LTI system S_1S_2 as follows x(t) rightarrow [S_1] rightarrow y(t) rightarrow [S_2] rightarrow z(t) The IPOP relation for S_1 is given by y(t) = integral_ - infinity^t e(^- (t - tau)x(tau) d tau The IPOP relation for S_2 is given by z(t) = integral_ - infinity^infinity cos(t - tau) y(tau) d tau Find the impulse response function of system S_1 and S_2, namely h_1(t) and h_2(t) Find the frequency response function of the cascaded system H_12(ohm) Find the amplitude and phase spectrum of output signal z(t) if the input signal is x(t) = sin(pi t)/ pi t

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