Embark on a 44-minute coding adventure exploring sound and the Fourier Transform. Delve into small experiments with audio, learning to break down signals into their component frequencies by implementing the Discrete Fourier Transform. Begin with an introduction to .wav files and waveforms, then progress through wave simulation, signal generation, and Fourier visualizations for single and multiple frequencies. Tackle the implementation of the Discrete Fourier Transform, addressing concepts like the Nyquist Rate and frequency resolution. Conclude by testing the DFT function and gaining practical insights into sound processing and analysis.

Syllabus

Intro
Dot Wav
Waveform
Playing a Sound
Wave Simulation
Speed Change
Signal Generation
Fourier Vis single frequency
Fourier Vis multiple frequencies
First Attempt at DFT
The Nyquist Rate
Frequency Resolution
DFT Implementation
Testing the DFT Function
Outro