Homonym: FFT (Fast)
The Fast Fourier Transform, or FFT, is a mathematical algorithm used to convert a signal from its original domain (often time or space) into the frequency domain. This transformation helps analyze the frequency components of signals, making it easier to identify patterns, trends, or anomalies. FFT is widely used in various fields, including engineering, audio processing, and telecommunications.
By efficiently computing the discrete Fourier transform, FFT reduces the time complexity from O(N²) to O(N log N), where N is the number of data points. This efficiency makes it a crucial tool for real-time signal processing and analysis, enabling faster computations in applications like image processing and data compression.