An Interactive Introduction to Fourier Transforms
2 days ago
- #Fourier Transform
- #Signal Processing
- #Data Compression
- Fourier transforms split something into sine waves, useful for analyzing frequencies.
- They are used in sound analysis, helping understand pitch and notes by decomposing sound waves.
- Square waves can also be decomposed into sine waves, requiring many for accuracy.
- Fourier transforms enable data compression (e.g., MP3s) by storing only significant frequencies.
- 3D sine waves (complex sinusoids) can represent drawings via epicycles, creating cool animations.
- JPEGs use Fourier transforms to compress images by breaking them into frequency components.
- Applications include circuit design, MRI, mobile signals, and quantum physics.
- Interactive tools and visualizations help grasp Fourier transforms without deep math initially.