Question

Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed since sF(s) is not analytic. t-0 None of these choices is correct. . . 40 . b) (2 points) What is the final value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(s2+4) lim f(t) = 0 t-00 40 lim f(t) = = 1. 10 X 4 lim f(t) = 0 lim f(t) cannot be computed since sF(s) is not analytic. t-00 None of these choices is correct . t-00 . O c) (1 points) If the ROC is to the right of the right most pole of a transfer function then the transfer function represents a causal system. (true) (false) (correct answer not given)

Answer 1

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