DFT's Unitary Property

1. Is DFT unitary?
2. What is DFT explain property of DFT?
3. What is periodic property of DFT?

Is DFT unitary?

Therefore DFT matrix A is a unitary matrix.

What is DFT explain property of DFT?

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

What is periodic property of DFT?

the DFT spectrum is periodic with period N (which is expected, since the DTFT spectrum is periodic as well, but with period 2π). Example: DFT of a rectangular pulse: x(n) = 1, 0 ≤ n ≤ (N − 1), 0, otherwise.