Fourier Transform - Interactive Visualization

The Fourier Transform decomposes any signal into sine waves of different frequencies. Every time-domain pattern corresponds to a unique frequency-domain spectrum. The FFT makes this computation O(n log n). In ML, Fourier analysis underlies spectral methods, positional encodings in transformers, and audio/signal processing. This visualization lets you build signals from components and see the spectrum.

• Add up to 4 sine wave components with frequency, amplitude, phase sliders
• See frequency spectrum update as you add/modify components
• Animate signal construction: components added one by one
• See how complex signals decompose into simple sinusoids
• Foundation for spectral methods, audio models, and FNet (Fourier transformer)

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.