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
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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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