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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Document preview page 1

Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 1

Document preview content for Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition

Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition

Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition makes tackling textbook exercises a breeze, with clear and concise answers to every problem.

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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 1 preview imageChapter1:FundamentalConceptsL1G)@x(O)=py)+p)af,111®=2(1-)py)-L1-11)0030431©x0=220+2060+2(1-10)oy)171@x0=1p,0-2(1-l)ps)»©H)=Yp-2k+15)k=11.1(ii)Simplesttodefine#andxasfollows,thenusetheMATLABcommandplot(t,x)@)1=[-3-2-2-1-111223];x=[0011221100i(®)1=[-5-4-1145];x=[001100];(©)t=[-7-6-6-3-3033667];x=[00224642200],@1=[3-220223];x=[0042400];©1=[-10011223344556];x=[001100110011007;1.2(a)@==,soAt<w/m=1;sin(n(Atn))=0forallintegers»whenAz=2(®)0=7,a=0.1,50AtS—==025aon?+7?(©)@=/4,a=1,50At<z=06177we+(x/4)+StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.EE
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 2 preview imageDownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iFprE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 3 preview image3.continued©delt=.11delt=.5[!Eo=)WII-AMABy_5101520“lo5101Time(sec)Time(sec)s20;delt=.9delt=1.51)Wi*|“05-1\1015200510<1520Time(sec)Time(sec)OB)TRx=0.]in\NA20Sg=a2._=:~~./RaNEEoeGLgo\8.T=BN\\1\,[0]2468101214161820Time(sec)(©)1iL.05NSr=2=cLTkes0=.-0.5[+]12345678910Time(sec)|©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storagein2Revasystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.--etnCERCCEAAREAEEenoemereebreRAEI
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 4 preview image1.3(a)(a)t=[-1005];2x=[0011];plot(t,x,"LineWidth',1.5);Psaxis([-1502])Eaxlabel('Time(sec)')ylabel('u(t)')0title('(a)")[]24Time(sec)(b)t=[-1012345];®x=[0012345];.plot(t,x,'LineWidth',1.5);axis([-1505])eg,xlabel('Time(sec)')ylabel('r(t)")title("(b)')Lo2nTime(sec)©t=(-100223];(©)x=[001100];2plot(t,x,'LineWidth',1.5);axis([-1502])4xlabel('Time(sec)')>ylabel('x(t)")title('(c)")0024Time(sec)(d tl=(-100];x1=[0010];10@£2=0:.01:5;x2=10*exp(-3*t2);t=[t1t2];€sx=[x1lx2];plot(t,x,'LineWidth',1.5);axis([-150101)0fn)24xlabel('Time(sec)')Time(sec)ylabel("x(t)'")~title('(d)")(e) ti=[-100];x1=[0031;a(e)t2=0:.01:5;%2=3*exp(~£2).*cos(2+t2);2t=[tlt2];£1x=[x1lx2];0plot(t,x,'LineWidth',1.5);axis([-15-131)B—24xlabel('Time(sec)')Time(sec)ylabel('x(t)')title('(e)')3©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.eteeeSeeeAlerts
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 5 preview image1.3continued(£)tl=[-100];x1=[003];@t2=0:.01:5;0x2=3*exp(t2).*cos(2*t2);t=[tlt2];§-200x=[x1x2];plot(t,x,'LineWidth',1.5);-400axis([-15-450100])024xlabel('Time(sec)')Tiylabel("x(t)")meEe9)title('(£)")(@)t=-1:.01:5;@%=2*sin(3*t-pi/2)-2cos(2*t);plot(t,x,'LineWidth',1.5);goaxis([-15-33])xlabel('Time(sec)').2ylabel("x(t)")024title('(g)")Time(sec)(h)t=-1:.01:5;[0x=sin(5*t)+sin(pi*t);2plot(t,x,'LineWidth',1.5);axis([-15-22])xlabel("Time(sec)')goylabel('x(t)')title('(h)")2024Time(sec)1.4(a)xX)4,~/:X(t)Jo~/Ja3¢-t+StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.SEEeteetLeAii.
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 6 preview image/.4Conbinvedcc)ale)xt)*5al)4ACE14d)a]®t={-2-1-111334];2©x=[0011-1-100];plot(t,x,'LineWidth',1.5);1axis([-24-22])goxlabel("Time(sec)')ylabel("x(t)")-1title('(a)')22[}]24Time(sec)(b)t=[-1011224];(b)x=[00-11100];2plot(t,x,'LineWidth',1.5);1axis([-13-22])xlabel('Time(sec)')goylabel('x(t)')title('(b)")-2El[]123Time(sec)(ec)tl=[01];x1=[00];t2=1:.01:2;x2=2*(£21);©t3=[23);6x3=[22];t4=3:.01:5;4x4=2%t4-4;=t=[tlt2t3ta];jax=[x1x2x3x4];plot(t,x,'LineWidth',1.5);0axis([05-17])xlabel('Time(sec)')[)12345ylabel("x(t)"')Time(sec)title('(c)")I~StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.SEiEE
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 7 preview image1.5®@)ti=[-100];X1=(001];15@£2=0:0.01:2;x2=exp(-t2);1t3=2:.01:4;X3=exp(t3-4);£05t4=[451;xx4=[00];0t=[tlt2t3t4];x=[x1x2x3x4];-05plot(t,x,'LineWidth',1.5);[}24axis([-15-.51.5])Time(sec)xlabel("Time(sec)')ylabel('x(t)")title(*(a)")(b)tl=-1:.05:pi;xl=cos(t1);1(®)t2=pi:.05:3%pi/2;$x2=-cos(t2);1t3=[3*pi/25);0.5x3=[00];st=[t1t2£3];x0x=[x1x2x3);05plot(t,x,'LineWidth',1.5);-1axis([~15-1.51.5])xlabel("Time(sec)')AS)rlylabel("x(t)"')Tititle('(b)")me(sec)1.6(a)Sincex(1)=w(t-c),replacing£by£+¢givesWr)=x(t+c).(©)()v(r)=e720)=65-2_6p))G@)vO)=(+2-(+2)+1=+3143|Gi)v(t)=sin(2(+7/4))=sin(21+7/2)=cos(21)17(a)un)I-5-¢+-3a.y©/a23¢&sn+StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeiobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 8 preview image1.7continvedrn]Te+33li-5fF<3aoroo7/7A3+£7tc}x(n)2.5to0.3%0.135~~n~-3-x-taa3rs)x{"1py,0.3%n-.5~~Lo./as(e)xn)7672[3Pa-3xoyesa3|vsliT=StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.ES
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 9 preview image1.7Condinved27°(£)OWSRS/~7_0.7073aoslel°EY3Pad~0.707.—*~!“FOpron9)JxCn){-1n-3-37EY3-=Ixn)b3.137,0.8!7~~«3a+5°o/a13n-1-0.456_-[5~~<).23N-0.835~1.94.7(4)x(n}(--E-sfo-3-22/a32%5|Vv4T=StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.a
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 10 preview image17()(a)forn=1:5;(a)u(n)=0;2end;forn=6:21;1.5u(n)=1;end;E11n=-5:15;>stem(n,u,'filled")05axis([-51502])Xlabel('n'")0ylabel('uln]')5051015title('(a)")n(b)forn=1:5;(b)X(n)=0;15end;forn=6:21;x(n)=n-6;10end;=n=-5:15;=stem(n,x,'filled")5xlabel('n")ylabel('r([n]")title('(b)")3051015(c)forn=1:5;nx(n)=0;end;1©forn=6:21;x(n)=.5"(n-6);0.8end;n=-5:15;=06stem(n,x,'filled')04xlabel('n')ylabel(*x[n]"')0.2title('(c)')o-5051015(d)forn=1:5;nx(n)=0;end;1(d)forn=6:21;x(n)=(-.5)"(n-6);end;0.5n=-5:15;=stem(n,x,"filled"')=xlabel('n')0|ylabel('x[n]"')title('(d)")-05-5051015n©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,:PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.AeEPCRAAeAABEeersteeteeeeeeee
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 11 preview image1.7(j)continued4PE.10(e)(¢)forn=1:5;x(n)=0;end;E,forn=6:21;®x(n)=2%(n-6);end;on=-5:15;"stem(n,x,'filled")s051015xlabel('n’")nylabel('x[n]")®title('(e)")10.5(£)n=-5:15;Eox=sin(pi*n/4);=stem(n,x,'filled')-0.5xXlabel('n")'ylabel('x[n]')-1title('(£)')-5051015n1[€)(g)n=-5:15;05x=sin(pi*n/2);=0stem(n,x,'filled')xXxlabel('n'")-0.5ylabel('x[n]")1title('(g)")-5051015n0)2(h)(h)n=-5:15;x=(.9.%n).*(sin(pi*n/4)+cos(p1i*n/4));Eostem(n,x,"filled')xlabel('n')-1ylabel('x[n]")title('(h)"*2mn5051015(i)u(1)=0;nforn=2:10;"u(n)=1;20end;forn=11:21;15u(n)=0;=end;=1n=-5:15;0.5stem(n,u,"filled")axis([-51502])0xlabel('n')505°1015ylabel('x[n]')ntitle('(i)")+StudyXYJo©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 12 preview image(a)x(n)r4bY3+ss&a-r|On-/x[n)3bY[4bkSd@7/7A3+5&4c)xCn)21an“a-/°oFYE]+xCn)|305.53~22013.02ss.\ENENON4n-=!oa3-|VvT=StudyXY1/©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 13 preview imageooEEEE12aAeASoptember1.8(¢)(a)(8)n=-5:6;2x=[000001-1-1-10001;1stem(n,x,'filled’)=axis([-56-22])=0xlabel('n')ylabel('x[n]"')-1title('(a)")2-505n(b)n=-5:6;(b)x=[000010123000];4stem(n,x,'filled")3axis([-56-14])xlabel('n")=2ylabel("x[n]")®4title('(b)")01s05n(c)n=-5:6;©x=[000020100000];3stem(n,x,'filled")axis([-56-13])2xlabel('n'):ylabel('x[n]'")E1title('(c)")[1]-1-5[1]5n(d)forn=1:4;(d)x(n)=0;150end;x(5)=exp(-.8);100forn=6:12;=Xx(n)=exp(.8*(n-6))+1;xend;50n=-5:6;stem(n,x,'filled')0Xlabel('n')-5[]510ylabel('x[n]")n|title("(d)")12©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.eerete055mmemertresrte
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 14 preview image272L_2_419@)[=""=2GH=-—"—=25L="2C2ignalisperiodicwii@5-2,0yryrS572s5»sothesignalisperiodicwithfundamentalperiodequalto57;=10.Jo(—)a)2t=0:.01:30;Ailx=cos(pi*t)+cos(4*pi*t/5);plot(t,x,"LineWidth',1.5)=xlabel("Time(sec)')x0ylabel("x(t)")title('(a)")2!051015202530Time(sec)2%22_2Lh_15b)[==5=L=2lo2ignalisperiodicwii(LFpyL555,2083»50thesignalisperiodicwithfandamentalperiodequalto.ST=2'fea®)t=0:.01:10;2x=cos(2*pi*(t-4))+sin(S*pi*t);plot(t,x,'LineWidth',1.5)=xlabel('Time(sec)')x0|ylabel("x(t)*)title('(b)")-20246810Time(sec)272z_7%015.qoe©)[==5h="2022Aato2,4iignali©ipy1,70SGABx=foranypositiveintegers¢andr,sothesignalisnotperiodic.(©)2t=0:.01:20;|X=C0s(2*pi*t)+sin(10%t);|plot(t,x,'LineWidth',1.5)=olxlabel('Time(sec)')xylabel('x(t)")\title('(c)")2J[]5101520Time(sec)(@)10==foranypositiveintegersand7,sothesignalisnotperiodic.n=1:31;1@x=sin(10*n);n=0:30;stem(n,x,"filled")=xlabel('n')=0.ylabel(*x[n]")title('(d)")»[4]51015202530n+StudyXY/3©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.teee7555Ateres.
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 15 preview image1.9continued107_27qN.APTI©3==;Withq=>5andr=3,sothesignalisperiodicwithfundamentalperiodequaltor=3.n=1:11;13x=sin(10*pi*(n~-1)/3);n=0:10;stem(n,x,'filled')xlabel('n')goylabel('x[n]")title('(e)")-10246810n.(0)Isthereapositiveintegerrsuchthatx[»+7]=x[n]?Sincex[n+r]=cos(w(n+7)?)=cos?+n+r)thesignalisperiodicif7(2nr+72)=2mwheremisaninteger,or(2nr+72)=2m.Ifr=2,m=2(n+1),whichisanintegerforanyintegervalueofm,sor=2isthefundamentalperiod.Togeneralize,consider22theperiodicityofof=)forsomeintegeri.Thisisaperiodicsignalifror=m.Thesignalisperiodicifiseven,inwhichcasethefundamentalperiodis7=i,andthesignalisperiodicififiisodd,inwhichcasethefundamentalperiodisr=2i.2f-f)n=1:11;1¥=cos(pi*n."2);n=0:10;stem(n,x,"filled")Zoxlabel('n')ylabel('x[n]")title('(£)")10246810n1.10(a)Whenx[n]=é[n],yn)=47(Ont—11+-+-+51n-N+1)1n=012.,N-1Sim={w",1,2,...,0,otherwise14+StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermission(s),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.OU
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Solution Manual For Fundamentals Of Signals And Systems Using The Web And Matlab, 3rd Edition - Page 16 preview image11.10(b)Whenx[n]=u[n],yn]=(utrsn=1J+--+uln—N+1)RForn<0,yn]=0.1For0<n<A-,Hr=FornxN,y[n}=1.1(c)Whenx[n]=rn],y[n]=ryy+r{n=1]+:+r[n—N+1})Forn<0,y[n]=0.For0<n<N-1,1Arl=—(ntn-1+n=2+-+2+1+0)PerformingtheadditionnAnl+p2++2+1+00+1+2++n2+n+nn+n+nto+n+n+n=nm)showsthat2(n+7—1+n—2+---+2+1+0)=n(n+1)andthus1(n@+)\_nn+])n]=—|——=|=——=for0<n<N-1.Mn]ol))oNfor0<n<N-1.1Finally,forn>N,yn]=lren—len-24tn-N+2en-N+1).Viaanadditionprocesssimilartotheonegivenabove,wehavethatstnl=(Hh)=2VltornN.1.11BytheresultinProblem1.10,){r]Seiforn>NandthusN-1..Nnl=n-—o=r[n-(N-1)/2]forn>N,whichshowsthattheN-pointMAfilterdelaystherampr{n]by(V-1)/2timeunits.L12n=1:69;x=5*sin(pi*n/10+pi/4);forn=6:69;y(n)=(1/6)*sum(x(n-5:n));end;n=6:69;plot(n,y(n),n,y(n),'o’,'LineWidth',1.5)gridxlabel('n")ylabel('y[n]")15I~StudyXY©2007PearsonEducation,Inc.,UpperSaddleRiver,NJ.Allrightsreserved.ThismaterialisprotectedbyCopyrightandwrittenpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbymeans,electronic,mechanical,photocopying,recording,orlikewise.Forinformationregardingpermissions),writeto:RightsandPermissionsDepartment,PearsonEducation,Inc.,UpperSaddleRiver,NJ07458.a
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