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3. The Fourier transform of ft) (ft)-sinc(t)) is F(jo)-nRect(/2) (Figure ) (1) For a linear, time invariant system, its impulse response is h(t) and h(t)-sin(4nt)f(t), determine the transfer function H(jo) of this linear system. (2) sketch H(jo) (3) For input u(t-sin(nt), calculate U(jo) and sketch U(jo) (4) Calculate Y1(jo), the Fourier transform of yi(t) that is the output of the system with u,(t) as the input. (5) Calculate yi(t) by taking the inverse Fourier transform of Y1(ja) (6) For input u2(t)-sin(4t), calculate U2(jo) and sketch U(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(7nt), calculate U(ja) and sketch U3(ja) (10) Calculate Y(jo), the Fourier transform of y3(t) that is the output of the system with us(t) as the input. (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) F(ju) 0 1 -1 Figure.1 3 Rec ( HCf) Y,Cis) Y Cfs)- 0

3. The Fourier transform of ft) (ft)-sinc(t)) is F(jo)-nRect(/2) (Figure ) (1) For a linear, time invariant system, its impulse response is h(t) and h(t)-sin(4nt)f(t), determine the transfer function H(jo) of this linear system. (2) sketch H(jo) (3) For input u(t-sin(nt), calculate U(jo) and sketch U(jo) (4) Calculate Y1(jo), the Fourier transform of yi(t) that is the output of the system with u,(t) as the input. (5) Calculate yi(t) by taking the inverse Fourier transform of Y1(ja) (6) For input u2(t)-sin(4t), calculate U2(jo) and sketch U(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(7nt), calculate U(ja) and sketch U3(ja) (10) Calculate Y(jo), the Fourier transform of y3(t) that is the output of the system with us(t) as the input. (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) F(ju) 0 1 -1 Figure.1 3 Rec ( HCf) Y,Cis) Y Cfs)- 0

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. The Fourier transform of ft) (ft)-sinc(t)) is F(jo)-nRect(/2) (Figure ) (1) For a linear, time invariant system, its impulse response is h(t) and h(t)-sin(4nt)f(t), determine the transfer function H(jo) of this linear system. (2) sketch H(jo) (3) For input u(t-sin(nt), calculate U(jo) and sketch U(jo) (4) Calculate Y1(jo), the Fourier transform of yi(t) that is the output of the system with u,(t) as the input. (5) Calculate yi(t) by taking the inverse Fourier transform of Y1(ja) (6) For input u2(t)-sin(4t), calculate U2(jo) and sketch U(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(7nt), calculate U(ja) and sketch U3(ja) (10) Calculate Y(jo), the Fourier transform of y3(t) that is the output of the system with us(t) as the input. (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) F(ju) 0 1 -1 Figure.1 3
Transcribed Image Text:3. The Fourier transform of ft) (ft)-sinc(t)) is F(jo)-nRect(/2) (Figure ) (1) For a linear, time invariant system, its impulse response is h(t) and h(t)-sin(4nt)f(t), determine the transfer function H(jo) of this linear system. (2) sketch H(jo) (3) For input u(t-sin(nt), calculate U(jo) and sketch U(jo) (4) Calculate Y1(jo), the Fourier transform of yi(t) that is the output of the system with u,(t) as the input. (5) Calculate yi(t) by taking the inverse Fourier transform of Y1(ja) (6) For input u2(t)-sin(4t), calculate U2(jo) and sketch U(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(7nt), calculate U(ja) and sketch U3(ja) (10) Calculate Y(jo), the Fourier transform of y3(t) that is the output of the system with us(t) as the input. (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) F(ju) 0 1 -1 Figure.1 3
Rec ( HCf) Y,Cis) Y Cfs)- 0
Transcribed Image Text:Rec ( HCf) Y,Cis) Y Cfs)- 0
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