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GATE 2023 Signal & System Quiz 30

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Question 1

Consider the signal given below:

If X(e) 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

Question 3

If DFT of x(n) is , then DFT of x(n – 2) is:

Question 4

The z-transform corresponding to the Laplace transform  is

Question 5

A FIR (finite impulse response) filter sown below which type of filter it is

Question 6

 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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May 27ESE & GATE EC