Zettelkasten/Terminology Information

DFT (Discrete Fourier Transform)

Computer-Nerd 2023. 2. 19. 12:17

Information

  • DFT (Discrete Fourier Transform) is a mathematical technique used for frequency analysis of a finite set of discrete data.
  • DFT is a transformation of a discrete signal from the time domain to the frequency domain.
  • It decomposes a signal into a sum of sinusoids of different frequencies.
  • DFT is widely used in digital signal processing, image processing, and data compression.
  • DFT is computed using the Fast Fourier Transform (FFT) algorithm, which is an efficient algorithm to calculate DFT.
  • DFT operates on a finite sequence of discrete data, where the output of DFT is a sequence of complex numbers.
  • The output of DFT consists of two parts: magnitude and phase. The magnitude represents the strength of the frequency component, and the phase represents the phase shift of the frequency component.
  • DFT can be used for various applications, such as signal filtering, frequency analysis, and spectral analysis.