Fourier Transform Visualizer

Overview

The Fourier Transform Visualizer demonstrates how signals decompose into frequency components. Create time-domain signals (sine waves, square waves, noise) and see their frequency spectra. Includes FFT algorithm visualization and inverse transform. Essential for understanding signal analysis and frequency domain.

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Tips

  • Fourier transform converts time domain to frequency domain
  • Shows which frequencies are present in a signal
  • FFT (Fast Fourier Transform) computes DFT efficiently in O(n log n)
  • Magnitude spectrum shows frequency amplitudes
  • Phase spectrum shows frequency phases
  • Applications: audio processing, image processing, telecommunications
  • Try combining multiple sine waves and viewing the spectrum
  • Rectangular window in time domain → sinc function in frequency domain