AI Features

Fast Fourier Transform

Learn how the discrete Fourier transform can be simplified for practical implementation.

We have learned that the DFT computes the spectrum of a length NN signal at NN equally spaced frequencies. The exact expression is given as:

X[k]=n=0N1x[n]ej2πkNnX[k] = \sum_{n=0}^{N-1}x[n]e^{-j2\pi\frac{k}{N}n} ...