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GATE 2025 Signals & Systems Foundation Quiz 30
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Question 1
Consider the signal given below:
If X(ejω) is the discrete Fourier transform of x[n], then the value of 
is_________.
Question 2
In the z-transform the first difference property is given as
Where
is z-transform of 
If the ROC of
is say R, then the ROC of the first difference will be
Where
is z-transform of If the ROC of
is say R, then the ROC of the first difference will be Question 3
If DFT of x(n) is 
, then DFT of x(n – 2) is:
, then DFT of x(n – 2) is:Question 4
The z-transform corresponding to the Laplace transform 
is
is
Question 5
The zero-phase DTFT of a sequence x[n] is shown in figure below.
Which of the following is the DTFT of the sequence 
?
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Jan 13ESE & GATE EC
