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3. (5 points) Consider a continuous-time (CT) periodic signal, x(t), with a period T = 3 seconds given by Fourier series coefficients 3 ak 1+14 Let this x(t) be the input to an LTI system with impulse response given by the expression, h(t) = e−4tu(t). Write expressions for the following: a) (1 pt) The fundamental frequency of the continuous-time signal x(t). b) (1 pt) The CT signal x(t) written as a Fourier series. c) (1 pt) The Fourier transform H(jw) of the impulse response. d) (1 pt) The Frequency Response H(jkwo) of the LTI system. e) (1 pt) The CT output signal y(t) written as a Fourier series:

3. (5 points) Consider a continuous-time (CT) periodic signal, x(t), with a period T = 3 seconds given by Fourier series coefficients 3 ak 1+14 Let this x(t) be the input to an LTI system with impulse response given by the expression, h(t) = e−4tu(t). Write expressions for the following: a) (1 pt) The fundamental frequency of the continuous-time signal x(t). b) (1 pt) The CT signal x(t) written as a Fourier series. c) (1 pt) The Fourier transform H(jw) of the impulse response. d) (1 pt) The Frequency Response H(jkwo) of the LTI system. e) (1 pt) The CT output signal y(t) written as a Fourier series:

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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3. (5 points) Consider a continuous-time (CT) periodic signal, x(t), with a period T = 3 seconds given by Fourier series coefficients 3 ak 1+14 Let this x(t) be the input to an LTI system with impulse response given by the expression, h(t) = e−4tu(t). Write expressions for the following: a) (1 pt) The fundamental frequency of the continuous-time signal x(t). b) (1 pt) The CT signal x(t) written as a Fourier series. c) (1 pt) The Fourier transform H(jw) of the impulse response. d) (1 pt) The Frequency Response H(jkwo) of the LTI system. e) (1 pt) The CT output signal y(t) written as a Fourier series:
Transcribed Image Text:3. (5 points) Consider a continuous-time (CT) periodic signal, x(t), with a period T = 3 seconds given by Fourier series coefficients 3 ak 1+14 Let this x(t) be the input to an LTI system with impulse response given by the expression, h(t) = e−4tu(t). Write expressions for the following: a) (1 pt) The fundamental frequency of the continuous-time signal x(t). b) (1 pt) The CT signal x(t) written as a Fourier series. c) (1 pt) The Fourier transform H(jw) of the impulse response. d) (1 pt) The Frequency Response H(jkwo) of the LTI system. e) (1 pt) The CT output signal y(t) written as a Fourier series:
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