Q7) A-) Determine if each of the following statements concerning signals and systems is true or false. Justify your answers. That is in general, Provide proofs or mathematical relations for those you believe to be true and counterexamples for those that you think are false. 1. If h(t) is the impulse response of an LTI system, and h(t) is periodic and nonzero, the system is unstable. 2. If a discrete-time LTI system has an impulse response h(n) of finite duration, the system is stable. 3. A continuous-time LTI system is stable if and only if its step response s(t) is absolutely integrable, that is, Is(t)< 8

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Q7)
A-) Determine if each of the following statements concerning signals and systems is true or false. Justify
your answers. That is in general, Provide proofs or mathematical relations for those you believe to be true
and counterexamples for those that you think are false.
1. If h(t) is the impulse response of an LTI system, and h(t) is periodic and nonzero, the system is
unstable.
2. If a discrete-time LTI system has an impulse response h(n) of finite duration, the system is stable.
3. A continuous-time LTI system is stable if and only if its step response s(t) is absolutely integrable,
that is, s(t) < 00
Transcribed Image Text:Q7) A-) Determine if each of the following statements concerning signals and systems is true or false. Justify your answers. That is in general, Provide proofs or mathematical relations for those you believe to be true and counterexamples for those that you think are false. 1. If h(t) is the impulse response of an LTI system, and h(t) is periodic and nonzero, the system is unstable. 2. If a discrete-time LTI system has an impulse response h(n) of finite duration, the system is stable. 3. A continuous-time LTI system is stable if and only if its step response s(t) is absolutely integrable, that is, s(t) < 00
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