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MostDSPtechniquesarebasedonadivide-and-conquerstrategycalledsuperposition.Thesignalbeingprocessedisbrokenintosimplecomponents,eachcomponentisprocessedindividually,andtheresultsreunited.Thisapproachhasthetremendouspowerofbreakingasinglecomplicatedproblemintomanyeasyones.Superpositioncanonlybeusedwithlinearsystems,atermmeaningthatcertainmathematicalrulesapply.Fortunately,mostoftheapplicationsencounteredinscienceandengineeringfallintothiscategory.ThischapterpresentsthefoundationofDSP:whatitmeansforasystemtobelinear,variouswaysforbreakingsignalsintosimplercomponents,andhowsuperpositionprovidesavarietyofsignalprocessingtechniques.CHAPTERLinearSystems5MostDSPtechniquesarebasedonadivide-and-conquerstrategycalledsuperposition.Thesignalbeingprocessedisbrokenintosimplecomponents,eachcomponentisprocessedindividually,andtheresultsreunited.Thisapproachhasthetremendouspowerofbreakingasinglecomplicatedproblemintomanyeasyones.Superpositioncanonlybeusedwithlinearsystems,atermmeaningthatcertainmathematicalrulesapply.Fortunately,mostoftheapplicationsencounteredinscienceandengineeringfallintothiscategory.ThischapterpresentsthefoundationofDSP:whatitmeansforasystemtobelinear,variouswaysforbreakingsignalsintosimplercomponents,andhowsuperpositionprovidesavarietyofsignalproces……