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Prove that an LTI system whose impulse response is periodic will always produce output signals that are periodic. (Assume that the input is not periodic). Note: This type of system is unstable, so the output might not always be bounded. When y(t) is bounded it will be periodic.

Prove that an LTI system whose impulse response is periodic will always produce output signals that are periodic. (Assume that the input is not periodic). Note: This type of system is unstable, so the output might not always be bounded. When y(t) is bounded it will be periodic.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Prove that an LTI system whose impulse response is periodic will always produce output signals that are periodic.
(Assume that the input is not periodic).

Note: This type of system is unstable, so the output might not always be bounded. When y(t) is bounded it will be periodic.

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