[第七章讲义——采样.pptVIP

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[第七章讲义——采样

Signals and Systems Chapter 7 Sampling Liu Ke, School of Automation Engineering 7.0 Introduction Signals and Systems Chapter 8 Communication Systems Liu Ke, School of Automation Engineering Example Example Example Example Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Sampling is a bridge between continuous-time signal and discrete-time signal A signal can be recovered from its samples under some condition Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 7.1 Representation of a continuous-time signal by its samples:the sampling theorem The samples of the signals the samples of the signals may be same can not be recovered 3T Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 7.1.1 Impulse-train sampling Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. The spectrum of samples Sampling is a shift of the spectrum Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. The spectrum of samples ?s2?M, no overlap ?s2?M, overlap exists Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Recover a signal from its samples Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Sampling Theorem Let x(t) be a band-limited signal with X(j?)=0 for |?|?M. Then x(t) is uniquely determined by its samples x(nT), n=0,?1,?2,…,if Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. The realization of impulse-train sampling and signal recover are difficult The generation and transmission of impulse-train are difficult The realization of ideal filter is impossibl

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