Fourier Analysis for Discrete-Time Processes
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A discrete function or discrete-time signal can be decomposed into a series of discrete sinusoids. An important difference between Fourier decompositions of continuous-time functions and discrete-time functions is that the process of sampling during discretization renders the Fourier transformations of discrete-time signals periodic. The repetition period of the Fourier function corresponds to the sampling frequency. This property of discrete-time Fourier conversions places some important restrictions on analytical techniques as we shall see.
KeywordsFast Fourier Transform Discrete Fourier Transform Frequency Resolution Window Function Fourier Domain
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