Question

4-point DFT of the sequence x(n)= {2,2,0,0} is​

Answer 1

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Answer 2

Answer:

Explanation: If x(n) is a finite duration sequence of length L, then the Fourier transform of x(n) is given as

X(ω)=\sum_{n=0}^{L-1} x(n)e^{-jωn}

If we sample X(ω) at equally spaced frequencies ω=2πk/N, k=0,1,2…N-1 where N>L, the resultant samples are

X(k)=\sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}