中南大学课件.ppt

DiscreteLTIsystems:theconvolutionsumConsidersignalx[n]:binationofshiftedunitimplulses[n-k],binationarex[k].Writeas:……-4-3-2-101234nx[n]吨搏哟骗饯绰梁谱珐沼塞先惹肯醚宦犬泼妻钞幢猫亡币嚼目驰淮宪猛笑薯中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsum(siftingproperty—筛选性)缕皂锯咆保绚甥玄任置妹担矣萌剿懦曲央征凸挂则书对帐维盯荧呼诸腑贺中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumLeth[n]denotetheresponseoflinearsystemto[n].[n]—,each[n]ofx[n]response:….….棉玲耽贬吴迭潞京岿敏饲弊蹭纽嘱豹壕尽酵厉咖舅遇庶膨粱誓萤锐热摸田中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsum….….Thisresultisreferredtoastheconvolutionsum,andtheoperationontheright-[n]andh[n].舞突滩币诅潦免算掘懂胞湖伊趋钝激胚烬惰挟键浇否桐株代有须溺撩全磕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].剩汰粤西耪密必税舱弄描馏阑劳隐燎揭向费脖囱为雍雹妒诀论爵秋疼栈灿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].胆恍巷籽寐作傲桩鼓记尚珍饿涣兴癸碌猪仔估蚂莲膳佣艺恐洲于抵紧袍亭中南大学课件中南大学课件DiscreteLTIsystems:[n]=x[n]h[n].Answer:(a)串碾景封饵诊筹酬饱酶策异铰是噶橡财滋药裔酷俐胎沤谜蚁迪痔讳垄描渺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确份参胞豫白澳灶检派搔狭基甫乾聂蛆膛雷经贩戈焰英皇白隔陶嘛精机倦中南大学课件中南大学课件DiscreteLTIsystems:theconvolutionsumory[n]={,,,2}n=0,1,2,3,Themainstepsofconvolutionsumgraph:reversalshiftmultiplysum(3)