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GATE 2022 : Signals and Systems Quiz 5
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Question 1
x(t) and X(ω) forms a Fourier transform pair. If X(ω) is given by ,
Then energy of the signal x(t) will be _______unit.
Question 2
Consider Fourier transform of x(t) as K/jω. The value of K if x(t) = 2u(t) – 2u(–t).
Question 3
If x(t) =
then x(ω) at ω = 2 will be _____.
![](https://gradeup-question-images.grdp.co/liveData/PROJ54968/1595577166714511.png)
Question 4
Consider a signal,
The value of
![](https://gradeup-question-images.grdp.co/liveData/PROJ51074/1591769310629456.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ51074/1591769311360393.png)
[Where X(ω) is the Fourier Transform of x(t)]
Question 5
Let the fourier transform of a signal x(t) be X(jω).
![](https://gs-post-images.grdp.co/2020/9/31-img1599023662313-66.JPG-rs-high-webp.JPG)
Then the value of X(0) is ______.
Then the value of X(0) is ______.
Question 6
If Fourier Transform of x(t) in f is given by x(f), then what will be the inverse fourier transform of x(3f+2).
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