Two LTI systems 1 and 2 are connected in series with each other and form a globa

Question

Two LTI systems 1 and 2 are connected in series with each other and form a global LTI s The frequency responses of the two systems are of the ideal Low-pass and High-Pass filt type respectively, that is: H1 5 for in [-10,10] rad/sec H200) 1 for co in [5, ao) and (-oo, 5] rad sec a) Sketch the frequency responses H1Go, H2G co and the global system's HGC) b) What type of filter is the global system? c) Find the impulse response h(t) of the global system d) If a signal x(t-sin(7t) first enters H1 and then H2, what is the output signal y(t)? work in the frequency domain.] e) If the same signal x(t) sin(7) enters first H2 and then H1, does your answer in (d) change? Why or why not? f What signal y(t) do you expect to see at the system's output if the input x(t) u(t)?

Explanation / Answer

The soln is in form of images and is in the drive link given below

https://drive.google.com/folderview?id=0ByjMbKjOvqwiYlhQZ2c0RUxqaUE&usp=sharing

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