Discrete fourier transform python

1. How to do Discrete Fourier Transform in Python?
2. What is Discrete Fourier Transform?
3. Which is better DFT or FFT?

How to do Discrete Fourier Transform in Python?

% Analysis parameters: M = 31; % Window length N = 64; % FFT length (zero padding factor near 2) % Signal parameters: wxT = 2*pi/4; % Sinusoid frequency (rad/sample) A = 1; % Sinusoid amplitude phix = 0; % Sinusoid phase % Compute the signal x: n = [0:N-1]; % time indices for sinusoid and FFT x = A * exp(j*wxT*n+phix); ...

What is Discrete Fourier Transform?

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

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.