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Chapter 4 - THE DISCRETE FOURIER TRANSFORM

HST582 Biomedical Signal and Image Processing Spring 2005 Chapter 4 - THE DISCRETE FOURIER TRANSFORMc Bertrand Delgutte and Julie Greenberg, 1999 IntroductionThe FOURIER representation of signals that we studied in Chapter 3 is important for understand-ing how filters work and what a spectrum is, but it is not a practical tool because the DTFTis a continuous function of frequency and therefore its computation would in general require aninfinite number of operations. The purpose of this Chapter is to introduce another representationof DISCRETE -time signals, thediscrete FOURIER TRANSFORM (DFT),which is closely related to thediscrete-time FOURIER TRANSFORM , and can be implemented either in digital hardware or in soft-ware.

HST582J/6.555J/16.456J Biomedical Signal and Image Processing Spring 2005 Chapter 4 - THE DISCRETE FOURIER TRANSFORM c Bertrand Delgutte and Julie Greenberg, 1999

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