Howtosignalprocessing
- What is periodic property of DFT?
- Is DFT of a finite duration sequence is periodic?
- Does DFT assume periodicity?
- What is discrete Fourier transform why it is periodic?
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.
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.
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).
What is discrete Fourier transform why it is periodic?
This transform is known as the Discrete Fourier Series, or DFS. A discrete, periodic signal where the period is N samples has the following Fourier transform: Here x N [n] and X N [k] indicate the DFS of an N point periodic discrete series has a period of N samples.
