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CTSS Stability and Causality from Impulse Response Problem

Module by: John Buck. E-mail the author

Summary: Problem testing students ability to use the stability and causality criteria applied to impulse responses of LTI systems.

For this problem, you will consider two LTI systems specified by their impulse responses:

h 1 ( t ) = e - t u ( t + 3 ) , and h 2 ( t ) = 1 t 2 u ( t - 1 ) h 1 ( t ) = e - t u ( t + 3 ) , and h 2 ( t ) = 1 t 2 u ( t - 1 )
(1)
1. For each of the impulse responses above, indicate whether the LTI system is causal. Justify your answer. Answers without justification will be assumed to be guesses and receive no credit.
2. For each of the impulse responses above, indicate whether the LTI system is stable. Justify your answer. Answers without justification will be assumed to be guesses and receive no credit.

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