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Mike Tate Mathematics

Signal Processing

๐Ÿ”Š Fourier Transform Explorer

๐Ÿ“˜ What Is a Fourier Transform?
The Fourier Transform breaks a signal into its frequency components. Any complex waveform can be rewritten as a sum of sine and cosine waves.
  • It helps us understand the **frequency content** of signals
  • The animation shows both the **original waveform** and its **spectrum**
  • Use the sliders to mix two frequencies and see their breakdown!

Signal + Moving Average Filter




๐Ÿ”ข Galois Field Transform (GFT)






This GFT operates over finite fields GF(p), using modular arithmetic and primitive roots to simulate frequency-domain transformations.

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