Consider the impulse response of a LTI system h(t) = e at [u(t) u(t 1)] a >0.

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Consider the impulse response of a LTI system h(t) = eˆ’at[u(t) ˆ’ u(t ˆ’ 1)] a >0.

(a) Obtain the transfer function H(s).

(b) Find the poles and zeros of H(s).

(c) Is lima†’0H(s) equal to

- e

(d) Indicate how the poles and zeros of H(s)move in the s-plane as a †’ 0.

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