Difference between dfs and dft

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 discrete Fourier series and DFT?
3. What is the difference between DTFT and DFT?
4. Which is better DFT or FFT?

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 discrete Fourier series and DFT?

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 DTFT and DFT?

DTFT gives a higher number of frequency components. DFT gives a lower number of frequency components. DTFT is defined from minus infinity to plus infinity, so naturally, it contains both positive and negative values of frequencies. DFT is defined from 0 to N-1; it can have only positive frequencies.

Which is better DFT or FFT?

FFT algorithms are faster ways of doing DFT. It is a family of algorithms and not a single algorithm. How it becomes faster can be explained based on the heart of the algorithm: Divide And Conquer.