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Discrete-time signals and systems

Chapter2 discrete -timesignalsandsystemsContentsOv erview.. cationofdiscrete-timesignals.. cationofdiscrete-timesystems.. Amplitude properties.. :theconvolutionsum.. andnonrecursive discrete -timesystems.. cientdifferenceequations.. cientdifferenceequations.. LTIrecursive system.. andnonrecursive realizationofFIRsystems.. J. Fessler, May27,2004,13:10(studentversion)Overview terminology, classesofsignalsandsystems,linearity,tim e-invariance. impulseresponse,convolution,differenceeq uations,correlation, :eventuallyDSPsystemdesign;must rstlearntoanalyze! :single-channel,continuous-valuedsignals ,namely1 Ddiscrete-timesignalsx[n].Inmathematical notationwewritex:Z!Rorx:Z!C x[n]canberepresentedgraphicallyby stem plot. x[n]isnotde nedfornonintegern. (Itis not zero despiteappearanceofstemplot.)

A discrete-time system is a device or algorithm that, according to some well-dened rule, operates on a discrete-time signal called the input signal or excitation to produce another discrete-time signal called the output signal or response .

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