D.1 Discrete Fourier Transform
The discrete Fourier transform (DFT) that transforms one function into another is called the frequency domain representation; it requires a discrete input function whose nonzero real or complex values are finite. Unlike the discrete-time Fourier transform (DIFT), the DFT only evaluates enough frequency components to reconstruct the finite segment that was analyzed. The DFT is used in processing information (data) stored in computers, and in signal processing and related fields where the frequencies in a signal are analyzed. An efficient computation of the DFT is provided by a fast Fourier transform (FFT) algorithm. Although DFT refers to a mathematical transformation while FFT refers ...
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