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Convolutionisamathematicalwayofcombiningtwosignalstoformathirdsignal.ItisthesinglemostimportanttechniqueinDigitalSignalProcessing.Usingthestrategyofimpulsedecomposition,systemsaredescribedbyasignalcalledtheimpulseresponse.Convolutionisimportantbecauseitrelatesthethreesignalsofinterest:theinputsignal,theoutputsignal,andtheimpulseresponse.Thischapterpresentsconvolutionfromtwodifferentviewpoints,calledtheinputsidealgorithmandtheoutputsidealgorithm.ConvolutionprovidesthemathematicalframeworkforDSP;thereisnothingmoreimportantinthisbook.CHAPTERConvolution6Convolutionisamathematicalwayofcombiningtwosignalstoformathirdsignal.ItisthesinglemostimportanttechniqueinDigitalSignalProcessing.Usingthestrategyofimpulsedecomposition,systemsaredescribedbyasignalcalledtheimpulseresponse.Convolutionisimportantbecauseitrelatesthethreesignalsofinterest:theinputsignal,theoutputsignal,andtheimpulseresponse.Thischapterpresentsconvolutionfromtwodifferentviewpoints,calledtheinputsidealgorithmandtheoutputsidealgorithm.ConvolutionprovidesthemathematicalframeworkforDSP;thereisnothingmoreimportantinthisbook.TheDeltaFunctionandImpulseResponseThepreviouschapterdescribesh……