d) Using the relevant property ofthe Fourier transform obtain F{f(t)cos(Q,- where f(t) is the waveform given in Fig.2(a).
d) Using the relevant property ofthe Fourier transform obtain F{f(t)cos(Q,- where f(t) is the waveform given in Fig.2(a).
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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Question
Signals And Systems
- Part D Needed
![Signal
Plot of signal
Fourier transform
Plot of FT
(FT)
f(t)
Symbol
cos(2,t)
Symbol
f(t)cos (2,t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd608d163-84e5-41af-bce0-85f756b0bdeb%2F72d9177c-c7d8-4a2d-8e06-1723aa62cfc3%2Fjsd92_processed.png&w=3840&q=75)
Transcribed Image Text:Signal
Plot of signal
Fourier transform
Plot of FT
(FT)
f(t)
Symbol
cos(2,t)
Symbol
f(t)cos (2,t)
![The Fourier trans form of the finite-duration triangular waveform f(t) given in
Fig.2(a) is given as:
sin
F(jN)=|
Ω
2
a) Let F(j2) be wrtten in the polar form as F(jQ)=|F(j2)|ev (@). Giving
the mathematical explanation fill in the blanks below:
|F(j)|=..
y (2):
b) Using F(j2) given above and the relevant properties of the Fourier transform
evaluate the Fourier transforms of the finite-duration waveforms in Fig.2(b-d).
ft)
-1
-0.5
-1
(a)
(b)
(d)
Fig.2
c) Write down the mathematical expression for the finite-duration signal f (t)
given in Fig.2(a).
d) Using the relevant property ofthe Fourier transform obtain F{f(t)cos(2,t)}
where f(t) is the waveform given in Fig.2(a).
e) Let 2, =7 rad/s and fill in the blanks in Table 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd608d163-84e5-41af-bce0-85f756b0bdeb%2F72d9177c-c7d8-4a2d-8e06-1723aa62cfc3%2Fnnuyz2l_processed.png&w=3840&q=75)
Transcribed Image Text:The Fourier trans form of the finite-duration triangular waveform f(t) given in
Fig.2(a) is given as:
sin
F(jN)=|
Ω
2
a) Let F(j2) be wrtten in the polar form as F(jQ)=|F(j2)|ev (@). Giving
the mathematical explanation fill in the blanks below:
|F(j)|=..
y (2):
b) Using F(j2) given above and the relevant properties of the Fourier transform
evaluate the Fourier transforms of the finite-duration waveforms in Fig.2(b-d).
ft)
-1
-0.5
-1
(a)
(b)
(d)
Fig.2
c) Write down the mathematical expression for the finite-duration signal f (t)
given in Fig.2(a).
d) Using the relevant property ofthe Fourier transform obtain F{f(t)cos(2,t)}
where f(t) is the waveform given in Fig.2(a).
e) Let 2, =7 rad/s and fill in the blanks in Table 1.
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