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In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into an equivalent-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.
Discrete DTFS DTFT Periodic Discrete Continuous Frequency Domain Table 3.1 Time and Frequency Properties of the Four Fourier Representations 3.2 Definition of the DTFS Since the discrete-time Fourier series is the only Fourier representation with a finite number of discrete components in both the time and frequency domains, it is often