2025-L08 - EE-2025 Spring-2004Lecture 8Sampling...

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Unformatted text preview: EE-2025 Spring-2004Lecture 8Sampling & Aliasing6-Feb-042/2/2004EE-2025 Fall-2003 jMc2MP-3 Block Diagram2/2/2004EE-2025 Fall-2003 jMc3Lab 4: Music SynthesisCONCATENATEADDLectureBeethovens Fifth2/2/2004EE-2025 Fall-2003 jMc4READING ASSIGNMENTSThis Lecture:Chap 4, Sections 4-1 and 4-2Replaces Ch 4 in DSP First, pp. 83-94Other Reading:Recitation: Strobe Demo (Sect 4-3)Next Lecture: Chap. 4 Sects. 4-4 and 4-52/2/2004EE-2025 Fall-2003 jMc5LECTURE OBJECTIVESSAMPLING can cause ALIASINGSampling TheoremSampling Rate > 2(Highest Frequency)Spectrum for digital signals, x[n]Normalized FrequencyA22+==ssffTALIASING2/2/2004EE-2025 Fall-2003 jMc6SYSTEMS Process SignalsPROCESSING GOALS:Change x(t) into y(t)For example, more BASSImprove x(t), e.g., image deblurringExtract Information from x(t)SYSTEMx(t)y(t)2/2/2004EE-2025 Fall-2003 jMc7System IMPLEMENTATIONDIGITAL/MICROPROCESSORConvert x(t) to numbersstored in memoryELECTRONICSx(t)y(t)COMPUTERD-to-AA-to-Dx(t)y(t)y[n]x[n]ANALOG/ELECTRONIC:Circuits: resistors, capacitors, op-amps2/2/2004EE-2025 Fall-2003 jMc8SAMPLING x(t)SAMPLING PROCESSConvert x(t) to numbersx[n]n is an integer; x[n] is a sequence of valuesThink of n as the storage address in memoryUNIFORM SAMPLING at t = nTsIDEAL: x[n] = x(nTs)C-to-Dx(t)x[n]2/2/2004EE-2025...
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2025-L08 - EE-2025 Spring-2004Lecture 8Sampling...

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