Book ChapterDOI
Discrete Fourier Transform
Leland B. Jackson
- pp 189-248
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The definition and properties of the discrete-time Fourier transform X(e jω ), with ω being a continuous frequency variable, are investigated, and it is found to be very useful for analyzing a wide variety of signals and systems of theoretical interest.Abstract:
In chapter 6, we investigated the definition and properties of the discrete-time Fourier transform X(e jω ), with ω being a continuous frequency variable, and found it to be very useful for analyzing a wide variety of signals and systems of theoretical interest. However, much of the practice of digital signal processing is done in computers where we cannot evaluate a continuum of frequencies ω, nor can we input and store an infinite-duration sequence x(n). Hence, for actual data sequences, as opposed to theoretically defined signals, we cannot compute the Fourier transform, in general.read more
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