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Fourier Transform Achievers Practice Quiz -2
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Question 1
The signal x(t) is described by
Two of the angular frequencies at which its Fourier transform becomes zero are
Question 2
The energy of the signal
is_______.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5868/1498728034073151.png)
Question 3
A function f(t) is shown in the figure.
The Fourier transform
of
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ6740/1501747103999314.png)
The Fourier transform
![](https://gradeup-question-images.grdp.co/liveData/PROJ6740/1501747104825143.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ6740/1501747105648620.png)
Question 4
Consider a continuous-time signal x(t) defined by x(t) = 0 for |t| > 1, and x(t) = 1 – |t| for |t| ≤ Let the Fourier transform of x(t) be defined as
The maximum magnitude of X(ω) is ________.
![](https://gradeup-question-images.grdp.co/liveData/PROJ72824/1616135917314355.png)
Question 5
The inverse fourier transform of
![](https://gradeup-question-images.grdp.co/liveData/PROJ16615/1530097088425482.png)
Question 6
Let x (t) = rect
(where rect (x) = 1 for
and zero otherwise). Then if sinc(x) =
, the Fourier Transform of x (t) + x (–t) will be given by
![](https://gs-question-images.grdp.co/1459842832000786.png)
![](https://gs-question-images.grdp.co/1459842832681538.png)
![](https://gs-question-images.grdp.co/1459842833366256.png)
Question 7
The Fourier transform of a signal h(t) is H(jω) = (2cosω)(sin2ω)/ω. The value of h(0) is
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Sep 22ESE & GATE EC