Lecture 7 - The Discrete Fourier Transform (DFT)

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The DFT The Discrete Fourier Transform (DFT) is the equivalent of the continuous Fourier Transform for signals known only at instants separated by sample times (i.e. a finite sequence of data). Let be the continuous signal which is the source of the data. Let samples be denoted

. The Fourier Transform of the original signal, , would

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