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GATE 2023 Signal & System Quiz 30

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Question 1

Find DFT of X[k] =

Question 2

The 4 – point discrete fourier transform (DFT) of a discrete time sequence

Question 3

The DFT of a real value signal is given as X[k] = {10, 2 + 3j, A, 3 – 2j, –5, B, 2 +4j, C}

Evaluate the values of A, B, C?

Question 4

The first six points of the 8-point DFT of a real valued sequence are 5, 1 – 3j, 0, 3 – 4j, and 3 + 4j. The last two points of the DFT are respectively?

Question 5

X[k] is the 6-point DFT of x[n] = {3, 2, 1, 0, 0, 3} and Y[k] =  DFT of y[n] and W6 =. Then y[n]=?

Question 6

4-point DFT of a real discrete-time signal x[n] of length 4 is given by X[k].

n = 0, 1, 2, 3 and 4 and k = 0, 1, 2, 3. It is given that X[0]=5, X[1]=1+j, X[2]=0, then X[3] and x[0] respectively are:

Question 7

The 4-point DFT of the sequence x[n] = 1, 0 ≤ n ≤ 3 is
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Jan 5ESE & GATE EC