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Problem 1. Suppose the impulse response function h(t) of an LTI system is: h(t) = 3e−2tu(t). Determine the eigenvalue / transfer function H(s) of this CT system using its definition: assuming the input signal is the eigenfunction x(t) = est, and calculate the absolute value and the phase angle of the eigenvalue H(s) at: (a) s = 1 + 2j (Q1, Q2); (b) s = −1 – 3j; (Q3, Q4)

Problem 1. Suppose the impulse response function h(t) of an LTI system is: h(t) = 3e−2tu(t). Determine the eigenvalue / transfer function H(s) of this CT system using its definition: assuming the input signal is the eigenfunction x(t) = est, and calculate the absolute value and the phase angle of the eigenvalue H(s) at: (a) s = 1 + 2j (Q1, Q2); (b) s = −1 – 3j; (Q3, Q4)

Introductory Circuit Analysis (13th Edition)
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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Problem 1. Suppose the impulse response function h(t) of an LTI system is: h(t) = 3e−2tu(t). Determine the eigenvalue / transfer function H(s) of this CT system using its definition: assuming the input signal is the eigenfunction x(t) = est, and calculate the absolute value and the phase angle of the eigenvalue H(s) at: (a) s = 1 + 2j (Q1, Q2); (b) s = −1 – 3j; (Q3, Q4)
Transcribed Image Text:Problem 1. Suppose the impulse response function h(t) of an LTI system is: h(t) = 3e−2tu(t). Determine the eigenvalue / transfer function H(s) of this CT system using its definition: assuming the input signal is the eigenfunction x(t) = est, and calculate the absolute value and the phase angle of the eigenvalue H(s) at: (a) s = 1 + 2j (Q1, Q2); (b) s = −1 – 3j; (Q3, Q4)
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