数字信号处理课件chpt03

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1、DFT(10/19/2009)DigitalSignalProcessing(3)DiscreteFourierTransforms(DFT)DiscreteFourierTransforms(DFT)................................................................................11.Definition......................................................................................................

2、......22.ThePropertiesofDFT........................................................................................32.1.Linearity...................................................................................................32.2.CircularShiftTheorems..........................................

3、.................................32.3.CircularConvolutionTheorem................................................................32.4.SymmetryPropertiesofDFT...................................................................42.4.1.ConjugateSymmetryofaFinite-DurationSequence....................42.

4、4.2.ConjugateAntisymmetryofaFinite-DurationSequence..............52.4.3.ConjugateSymmetric/AntisymmetricPartofaFinite-DurationSequence.................................................................................................52.4.4.ConjugateSymmetryofDFTofaFinite-DurationSequence.......62.

5、4.5.ConjugateAntisymmetryofDFTofaFinite-DurationSequence.62.4.6.ConjugateSymmetric/AntisymmetryPartofDFTofaFinite-DurationSequence..................................................................................63.SampleTheoremfortheFourierTransformofaFinite-DurationSequence......84.DFTApplicat

6、ion：LinearConvolutionbyUsingDFT......................................94.1.LinearConvolutionofTwoFinite-DurationSequences..........................94.2.LinearConvolutionofanInfinite-DurationSequencewithaFinite-DurationSequence.......................................................................

7、...................95.DFTApplication:ChirpZ-TransformAlgorithm.............................................11Appendix:FourierTransformsofSignals.............................................................141.FourierTransfor