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).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Signals And Systems

- Part C Needed

Signal
Plot of signal
Fourier transform
Plot of FT
(FT)
f(t)
Symbol
cos(2,t)
Symbol
f(t)cos (2,t)
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.
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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