Consider the LTI system of Figure.(a) Express the system impulse response as a function of...

Consider the LTI system of Figure.

(a) Express the system impulse response as a function of the impulse responses of the subsystems.

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(b) Let

h1(t) = h3(t)= 2δ(t)

and

h2(t) = h4(t) = u(t), h5(t) = 2u(t).

Find the impulse response of the system.

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(c) Give the characteristics of each block in Figure. For example, block 1 is an amplifier with a gain of 2.

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(d) Let x(t) = δ(t). Give the time function at the output of each block.

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(e) Use the result in Part (b) to verify the result in (d).