Question

If X(k) is the N-point DFT of a sequence x(n), then what is the DFT of x*(n)?

(a) X(N-k)

(b) X*(k)

(c) X*(N-k)

(d) None of the mentioned

The question was posed to me in an interview.

I'd like to ask this question from Properties of DFT topic in section Discrete Fourier Transform – Properties and Applications of Digital Signal Processing

Answer 1

The correct choice is (c) X*(N-k)

Best explanation: According to the complex conjugate property of DFT, we have if X(k) is the N-point DFT of a sequence x(n), then what is the DFT of x*(n) is X*(N-k).