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

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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 fill type respectively, that is: H:(j omega)=5 for omega in [-10,10] rad/sec =0 otherwise H2(j omega)=1 for coin [5) and (-5] rad/sec =0 otherwise. Sketch the frequency responses H1(j omega), H2(j omega) and the global systems H(j omega).What type of filter is the global system? Find the impulse response h(t) of the global system. If a signal x(t)=sin(7t) first enters HI and then H2, what is the output signal y(t)? [work in the frequency domain.]If the same signal x(t)=sin(7t) enters first H2 and then HI, does your answer in (d) change? Why or why not? What signal y(t) do you expect to see at the systems output if the input x(t)=u(t)?

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