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GATE 2024 signals and systems Rank Booster Quiz 24
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Question 1
The Fourier transform
of the signal
is ______.
![](https://gradeup-question-images.grdp.co/liveData/PROJ99547/1646294964646426.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ99547/1646294965367826.png)
Question 2
If X(jω) is Fourier Transform of real and non negative signal x(t) and we are given with facts that F–1{(1 + jω) X(jω)} = Ke–2t u(t), where K is a positive constant and
![](https://gradeup-question-images.grdp.co/liveData/PROJ100252/1646652654914222.png)
The signal x(t) is
Question 3
Fourier transforms of x(t) is X(jω).x(t) is represented by following figure,
Which of the following is not true for X(jω).
Question 4
Find the value of Fourier transform of a signal x(t) shown in figure below at a frequency of
rad/sec.?
![](https://gradeup-question-images.grdp.co/liveData/PROJ102604/1649754688978847.png)
Question 5
The response of the system at n = 1 for
to the input sequence
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ114139/1669889390609511.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ114139/166988939128217.png)
Question 6
For an LTI system the input x(t) and impulse response h(t) are shown in figure.
Find the output of the system y(t) = x(t)*h(t). The output observed at t = 3 seconds is
Question 7Multiple Correct Options
A system generates following responses for considered inputs.
1)
2)
3)
The above system can be
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Nov 3ESE & GATE EE