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12) Given an LTI system with frequency response H(@), input signal x(t), and output signal y(t). If the two signals x(t) and y(t) are related by the differential equation dx(t) y(t - a) + 2y(t) = %3D Find H(@). dt a) H(@) = 2+elwa %3D 2+e-jwa jw jw 2+ejwa 2+elwa b) H(@) = c) H(@) = d) H(@) = %3D 2+jw jw 2+e-jwa e) H(@) = %3D

12) Given an LTI system with frequency response H(@), input signal x(t), and output signal y(t). If the two signals x(t) and y(t) are related by the differential equation dx(t) y(t - a) + 2y(t) = %3D Find H(@). dt a) H(@) = 2+elwa %3D 2+e-jwa jw jw 2+ejwa 2+elwa b) H(@) = c) H(@) = d) H(@) = %3D 2+jw jw 2+e-jwa e) H(@) = %3D

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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12) Given an LTI system with frequency response H(@), input signal x(t), and output signal y(t). If the two signals x(t) and y(t) are related by the differential equation dx(t) y(t- a) + 2y(t) = Find H(@). dt 2+elwa ja 2+e-jwa a) H(@) = b) H(w) = c) H(@) = jw %3D 2+ejwa 2+elwa 2+jw d) H(w) = jo e) H(@) = %3D 2+e-Jwa
Transcribed Image Text:12) Given an LTI system with frequency response H(@), input signal x(t), and output signal y(t). If the two signals x(t) and y(t) are related by the differential equation dx(t) y(t- a) + 2y(t) = Find H(@). dt 2+elwa ja 2+e-jwa a) H(@) = b) H(w) = c) H(@) = jw %3D 2+ejwa 2+elwa 2+jw d) H(w) = jo e) H(@) = %3D 2+e-Jwa
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