1. (30 pts) Consider an LTI system given by the following block diagram: x(t) y(t) D where D is the differentiator. (a)

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1 30 Pts Consider An Lti System Given By The Following Block Diagram X T Y T D Where D Is The Differentiator A 1 (141.95 KiB) Viewed 27 times

1. (30 pts) Consider an LTI system given by the following block diagram: x(t) y(t) D where D is the differentiator. (a) (5 pts) Find the differential equation which represents this system. (b) (5 pts) Find the frequency response of this system. (c) (10 pts) Find the impulse response of this system from its frequency response. (d) (10 pts) Find the output y(t) for the input x(t) = e tu(t) using the frequency response. 2. (20 pts) Consider a continuous-time system represented by the following equation: s