Simple Explanation

A way for a computer to break sound into its different frequency parts really quickly.

Concise Technical Definition

A DSP algorithm that efficiently computes the Discrete Fourier Transform (DFT) by minimizing redundant calculations, enabling real-time frequency analysis.

Layman-Friendly Analogy

Like turning a messy smoothie back into its original fruits—FFT breaks a sound into all its pitch ingredients.

Industry Usage Summary

Used in spectrum analyzers, audio measurement tools, DAWs, and DSP systems to visualize and process signals in the frequency domain.

Engineering Shortcut

Optimized DFT; real-time frequency domain conversion in DSP.

Full Technical Explanation

The Fast Fourier Transform (FFT) is an algorithm that rapidly computes the Discrete Fourier Transform (DFT) of a signal, converting it from the time domain into the frequency domain. It reveals which frequencies are present and their amplitudes. The FFT is central to many audio processing applications, including spectral analysis, convolution reverb, equalization, and signal compression. By taking advantage of mathematical symmetries, the FFT dramatically reduces computation time compared to brute-force DFT methods, enabling real-time processing in audio devices, software, and measurement tools.