Cooley-Tukey FFT Algorithm

The Cooley-Tukey FFT (Fast Fourier Transform) algorithm is a method for quickly calculating the frequencies of a signal from its time-domain representation. It works by breaking down a complex problem into smaller, manageable parts, recursively simplifying the calculations. This drastically reduces the time it takes to analyze signals, making it possible to process large datasets efficiently. Widely used in various fields like audio processing and telecommunications, the FFT helps in tasks like noise reduction and image compression by revealing the different frequency components in data.