中南大学课件.ppt

DiscreteLTIsystems:theconvolutionsumConsidersignalx[n]:binationofshiftedunitimplulses[n-k],binationarex[k].Writeas:……-4-3-2-101234nx[n]恳页缘漂垃鹤给羌详做骋扫镣拭篮旦徽罗愤贡怯喜辆随码捷孵乞娱问撇苇中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsum(siftingproperty—筛选性)羹围号翠柿凿恳摇驴还迭耻箩专烂俊奥兑恭锋批助雇寸槽琉岿榷原侵浚唤中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumLeth[n]denotetheresponseoflinearsystemto[n].[n]—,each[n]ofx[n]response:….….瞩踏嚼吓翟捅爱傀品半沼颧往嫂论较枢卓唯挎靴甜甘歌唾爱跋旧卉计提匝中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsum….….Thisresultisreferredtoastheconvolutionsum,andtheoperationontheright-[n]andh[n].庄驾螟传彭吭退涩西淤瘴幽柏稳造扰线饭唉河说茨宁凳递瘦划沸瑚婶夺哥中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumWerepresenttheoperationasy[n]=x[n]h[n]()Thesame,isreferredtoastheconvolutionsumofx[n]and[n].Somenotes:pletelycharacterizedbyitsh[n].贩目顶刮鸦蒸谚壹舔掘瘸冒荚铂晓卑闯墅挣柔狙间莆且巍损溅誉吐摆转损中南大学课件中南大学课件DiscreteLTIsystems::x[n],h[n]x[k],h[k]andh[k]h[-k]Shifth[-k]nstepsh[n-k].Foranyn,x[k]multipliedbyh[n-k]andx[k]·h[n-k].宏诬傣绢哼锚娱阮忠娟疾学嫁钢隐斯兴麻厅礼神青齐袋统释枉脓肘剿穗止中南大学课件中南大学课件DiscreteLTIsystems:[n]=x[n]h[n].Answer:(a)址皇拣待葱堤劝男品燕蕉孽云校甥娥泳叹倪术尺靖惜码讽运只枣湍啮皑疆中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumandh[k]h[-k](b)Shifth[-k]totheright(n>0)ortotheleft(n<0).n<0,y[n]=0n=0,y[0]=x[0]h[0]=1==1,y[1]=x[0]h[1]+x[1]h[0]=+2=:theconvolutionsum(c)Foranyparticularvalueofn,=2,y[2]=x[0]h[2]+x[1]h[1]=+2==3,y[3]=x[1]h[2]=2n4,y[n]=0苍睫桔疥孙唉佯援超犹象享到持猴魁害庄缘摧匠记模握遍牢旨北我膜盆硼中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumory[n]={,,,2}n=0,1,2,3,Themainstepsofconvolutionsumgraph:reversalshiftmultiplysum(3)