Suppose we are given the following three facts about the signal x(t): 1. x(t) = 0 for t
Chapter 9, Problem 9.12(choose chapter or problem)
Suppose we are given the following three facts about the signal x(t):
1. \(x(t)=0 \text { for } t<0\).
2. \(x(k / 80)=0\) for \(k=1,2,3, \ldots\)
3. \(x(1 / 160)=e^{-120}\).
Let X(s) denote the Laplace transform of x(t), and determine which of the following statements is consistent with the given information about x(t):
(a) X(s) has only one pole in the finite s-plane.
(b) X(s) has only two poles in the finite s-plane.
(c) X(s) has more than two poles in the finite s-plane.
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