Discrete-time fourier series examples

1. What is DFT example?
2. What is meant by discrete Fourier series?
3. What is Fourier series with example?

What is DFT example?

Example (DFT Resolution): Two complex exponentials with two close frequencies F1 = 10 Hz and F2 = 12 Hz sampled with the sampling interval T = 0.02 seconds. Consider various data lengths N = 10,15,30,100 with zero padding to 512 points. DFT with N = 10 and zero padding to 512 points.

What is meant by discrete Fourier series?

Discrete Fourier series representation of a periodic signal. The Discrete Fourier Series (DFS) is an alternative representation of a periodic sequence x with period N. The periodic sequence x can be represented. as a sum of N complex exponentials with frequencies k2π N.

What is Fourier series with example?

These periodic functions could be analysed into their constituent components (fundamentals and harmonics). It can be done by using a process called Fourier analysis. Examples of the Fourier series are trigonometric functions like sin x and cos x with period 2π and tan x with period π .