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GATE 2024 Signals & Systems Foundation Quiz 99
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Question 1
4 point DFT of real discrete time signal x(n) of length 4 is X(k). If X[0] = 5, X[1] = 1+j, X[2] = 0.5. Then x(0) is
Question 2
The above shown signal x(t) is sampled at 0.5 KHz, then 4 point DFT for corresponding digital signal will be,
Question 3
8 Point DFT of sequence 
is X(k). Find the value of 
.
Question 4
Consider a discrete time sequence x(n) and its DFT (discrete fourier transform) as X(k).
x(n) = {3, 2, 3, 4} then 
= ________.
Question 5
If DFT signal x(n) is defined as 
, k = 0, 1, 2, N – 1. If signal y(n) is defined as 
; n = 0, N – 1, then which of the following is true.
, k = 0, 1, 2, N – 1. If signal y(n) is defined as ; n = 0, N – 1, then which of the following is true.
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Jun 20ESE & GATE EC
