Discrete Fourier Transform (DFT)

The Discrete Fourier Transform (DFT) is a mathematical tool that analyzes a sequence of data points—like sound or signals—to identify the individual frequencies that make it up. Think of it as taking a complex wave and breaking it down into simpler, pure tones, similar to how a musical chord consists of individual notes. This helps us understand the underlying patterns and components within the data, making it easier to process, analyze, or filter signals in various applications such as audio processing, image analysis, and communications.