GATE 2024 Signals & Systems Rank Booster Quiz 30

Find DFT of X[k] =

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

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?

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?

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]=?

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:

The 4-point DFT of the sequence x[n] = 1, 0 ≤ n ≤ 3 is