Fourier Transform

/ˈfɔːrieɪ ˌtrænsˈfɔːrm/

The Fourier Transform is a mathematical technique that transforms a time-domain signal into its frequency-domain representation. It decomposes a function or signal into its constituent frequencies, allowing for analysis of the frequency components present in the signal. This transformation is widely used in various fields such as signal processing, image analysis, and data compression. Key characteristics include its ability to reveal periodicities and its application in filtering and signal reconstruction. Common use cases include audio signal processing, image processing, and solving differential equations.