数字信号处理英文版第二版蔡坤宝部分习题答案.docx

数字信号处理英文版第二版蔡坤宝部分习题答案.docxAppendixFAnswersToPartialProblemsAnswerstoPartialProblemsinChapter2/?=-!•32*/=<I、〃+l2>0,2-0,23Ax(n)=<1,>-\n<-\n<-2n=-2;Vx(n)=■<]、刃+2"u,=200;=2;=14;Nonperiodic.(l)For(2)For/?()</?o+N—1,0,1,n<-1n>-\(3)For_0〃+—Pa(n一«o+1),_bnNa",yM=<nHq+N—1,y(/i)=<a-pn>(z?)=<1-a1 小• ,n<0an(\-a)(1)Unstable,causal,linear,time-invariantanddynamic;Stable,causal,nonlinear,time-invariantandmcmorylcss;Stable,causal,linear,time-varyingandmemoryless;Unstable,causal,linear,time-varyinganddynamic;Stableforboundedg(r),causal,linear,time-varyingandmemoryless;Stable・Ifn()>-,thesystemisdynamic;Stable,causal,nonlinear,time-invariantandmemoryless.(1\(n)=8—-81((n)=(-l)z,(y~j~)•u(n)•h(n)=-c>W+(1)⑵y(H)=ew(n);u(n)・AnswerstoPartialProblemsinChapter331U)心心⑵xu)=7T^Jd<1/2;(1)X(z)=—一—,kl>l;[z2-2zCOSft>0+1]2⑵x⑵★讥os0f仙-0)十“.Z2-2^rcosft>0+(1)ROC1:lzl>3/4;ROC2:l/2<kl<3/4;ROC3:IzIv1/2;Threepossiblepole-zeroplotswithcorrespondingROCare,respectively,shownasfollows:⑶ForIzl>3/4,•4)・「1+J—J—13人丿2丿u(n)•辽=(刘刃X:9=(o")XSP((D“)X(0“)XJ—=(<^)A-(mif9)X=(mt*)/{乙 乙3+訓I IG)p⑵(l)O「£(8)(厶)(l一"一”7—(I-5•(i-u-)n丄£丿u\JExpUSA1L7:ep(W-o)M)H(oM)XJ〒=(“")/<:(o”a)H(叫“X=(哄巧人:(砒-刃X=:(耐?)X=(“")/{££1一+8“:("”7乙一"(g)(t)(£)(I)t(w)w认£丿厶yjd+妨一=("找•(j+u)n【+"(I)(9)Z/£2)£/、严十”7v1/1 (屮)-I寻+t(I-W-)WI+w(^)=(W)X(乙)-一(必=(")x八I丿(IWU(V:(u)ni(I-u)n[Yz=(")*U\I丿D+(“)£--八I丿VIt(I-w-)w(£)(I)9£=(”)x(£)厶+(")08=(映JOJ9爼乙=(")*'口/£>|2|>乙/1」oh「X(e>W=4/r;J-zr「IX(刃少)卩de=28/r;V、P7,dX(eJM)19f…II 12dco=316-t.—(/?)=2逅sin彳(/?+1).(1)H(z)z2-z-\Thepole-zeroplotofH(z)withitsROCisshownasfollows:(4)Thesystemisunstable,becausetheROCdoesnotincludetheunitcircleinthez-,theROCshouldbeselectedas1-a/5 .,1+V5 <1zl< .(1)7})=$,Qo=40ttrad;00(3)ThesampledsequenceisN=5.(2)xs(r)=工cos(+号)3(/-);n=-co 厶x(h)=cos(^+y)(1)ROC:1/2vlzIv2•Thecorrespon