Problem 1
We are given a certain linear time - invariant system with impulse response . We are told that when the input is the output is , which is sketched in figure below. We are then given the following set of inputs to linear time - invariant systems with the indicated impulse responses:
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Input x(t) |
Impulse response h(t) |
(a) |
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(b) |
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(c) |
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(d) |
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(e) |
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(f) |
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[Here and denote the first derivative of and , respectively.]
In each of these cases, determine whether or not we have enough information to determine when the input is and the system has impulse response . If it is possible to determine , provide an accurate sketch of it with numerical values clearly indicated on the graph.![](Top.gif)
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