Is dft periodic

the DFT spectrum is periodic with period N (which is expected, since the DTFT spectrum is periodic as well, but with period 2π).

1. Is DTFS periodic?
2. Does DFT assume periodicity?
3. Is DFT of a finite duration sequence is periodic?
4. Is DTFT periodic or aperiodic?

Is DTFS periodic?

It's periodic! Figure 7.2. 9, Figure 7.2.

Does DFT assume periodicity?

In many signal processing books, it is claimed that the DFT assumes the transformed signal to be periodic (and that this is the reason why spectral leakage for example may occur).

Is DFT of a finite duration sequence is periodic?

Hence, the DFT represents one period of a periodic discrete-time signal by one period of its discrete-frequency periodic spectrum. Both the “actually” transformed signal and its spectrum are therefore periodic.

Is DTFT periodic or aperiodic?

As N approaches infinity, the time domain becomes aperiodic, and the frequency domain becomes a continuous signal. This is the DTFT, the Fourier transform that relates an. The DTFT analysis equation.