3. The Fourier transform of f(t) (f(t)=sinc(t)) is F(jo)-TRect(/2) (Figure 1) (5) Calculate y,(t) by taking the inverse Fourier transform of Y1(jo) (6) For input u2(t)=sin(4t), calculate U2(jo) and sketch |U1(jo) (7) Calculate Y2(jo), the Fourier transform of y2(t) that is the output of the system with u2(t) as the input. (8) Calculate y2(t) by taking the inverse Fourier transform of Y2(jo) (9) For input us(t)-sin(7t), calculate U3(jo) and sketch |U,(ja) (10) Calculate Y3(jo), the Fourier transform of y3(t) that is the output of the system with u3(t) as the input (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) H(ju) 0 1 Figure.1 -1

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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3. The Fourier transform of f(t) (f(t)=sinc(t)) is F(jo)-TRect(/2) (Figure 1)
(5) Calculate y,(t) by taking the inverse Fourier transform of Y1(jo)
(6) For input u2(t)=sin(4t), calculate U2(jo) and sketch |U1(jo)
(7) Calculate Y2(jo), the Fourier transform of y2(t) that is the output of the system with u2(t) as the input.
(8) Calculate y2(t) by taking the inverse Fourier transform of Y2(jo)
(9) For input us(t)-sin(7t), calculate U3(jo) and sketch |U,(ja)
(10) Calculate Y3(jo), the Fourier transform of y3(t) that is the output of the system with u3(t) as the input
(11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo)
H(ju)
0 1
Figure.1
-1
Transcribed Image Text:3. The Fourier transform of f(t) (f(t)=sinc(t)) is F(jo)-TRect(/2) (Figure 1) (5) Calculate y,(t) by taking the inverse Fourier transform of Y1(jo) (6) For input u2(t)=sin(4t), calculate U2(jo) and sketch |U1(jo) (7) Calculate Y2(jo), the Fourier transform of y2(t) that is the output of the system with u2(t) as the input. (8) Calculate y2(t) by taking the inverse Fourier transform of Y2(jo) (9) For input us(t)-sin(7t), calculate U3(jo) and sketch |U,(ja) (10) Calculate Y3(jo), the Fourier transform of y3(t) that is the output of the system with u3(t) as the input (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) H(ju) 0 1 Figure.1 -1
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