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GATE 2024 Signals & Systems Rank Booster Quiz 25
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Question 1
If
![](https://gradeup-question-images.grdp.co/liveData/PROJ100641/1647245053791335.png)
Then, F–1{5x(–2ω + 4)} = ________
Question 2
An ideal phase shifter is defined by the frequency response,
H(ω) =
The impulse response of the above filter is______
Question 3
A signal x(t) is shown below. Find the value of
where X(ω) is the Fourier transform of x(t).
![](https://gradeup-question-images.grdp.co/liveData/PROJ96368/1642050338392610.png)
Question 4
x(t) is a positive rectangular pulse from t = –1 to t = 2 with unit height as shown in the figure. The value of
, where X (w) is the Fourier transform of x(t) is _____
![](https://gradeup-question-images.grdp.co/liveData/PROJ87472/1637911979926628.png)
(Answer up to two decimal places)
Question 5
Spectrum of a signal x(t) is x(ω) as shown below,
The value of signal x(t) at is_______
Question 6
Fourier transform of
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ87466/1636609986511191.png)
Question 7
Frequency response of a low-pass-filter is given below:
The impulse-response h(t) of this system is_______
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Dec 8ESE & GATE EE