The difference between DFT and DFS

The discrete Fourier series (DFS) is used to represent periodic time functions and the DFT is used to repre- sent finite-duration time functions.

1. What is the difference between DFS and DTFS?
2. What is the difference between DFT and DTFT?
3. What is the difference between DFT and DCT?
4. Is DFS and DTFT same?

What is the difference between DFS and DTFS?

Basically, DFS is used for periodic and infinite sequence. Whereas, DFT is used for non-periodic and finite sequence. Although, They are same Mathematically. But they differ in properties.

What is the difference between DFT and DTFT?

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic Page 2 function, the DFT provides all the non-zero values of one DTFT cycle.

What is the difference between DFT and DCT?

Like the discrete Fourier transform (DFT), a DCT operates on a function at a finite number of discrete data points. The obvious distinction between a DCT and a DFT is that the former uses only cosine functions, while the latter uses both cosines and sines (in the form of complex exponentials).

Is DFS and DTFT same?

now coming to DTFS and DFS the difference is that you apply DTFS to a periodic signal and DFS to a finite discrete signal which is not periodic but made periodic by adding some values.