Solutions Manual M
to accompany
M
CommunicationSystems M
An Introduction to Signals and Noi
M M M M M
se inElectrical Communication
M M M
Fourth Edition M
A.MBruceMCarlson
RensselaerMPolytechnicMInstitute
PaulM B.M Crilly
UniversityMofMTennessee
JanetMC.MRutledge
UniversityMofMMarylandMatMBaltimore
,SolutionsMManualMtoMaccompany
COMMUNICATIONMSYSTEMS:MANMINTRODUCTIONMTOMSIGNALSMANDMNOISEMINMELECTRICALMCOMMUNICATION,MF
OURTHMEDITION
A.MBRUCEMCARLSON,MPAULMB.MCRILLY,MANDMJANETMC.MRUTLEDGE
PublishedMbyMMcGraw-HillMHigherMEducation,ManMimprintMofMTheMMcGraw-
HillMCompanies,MInc.,M1221MAvenueMofMtheMAmericas,MNewMYork,MNYM10020.MCopyrightM©MTheMMcGraw
-HillMCompanies,MInc.,M2002,M1986,M1975,M1968.M AllMrightsMreserved.
TheMcontents,MorMpartsMthereof,MmayMbeMreproducedMinMprintMformMsolelyMforMclassroomMuseMwithMCOMMUNICA
TIONMSYSTEMS:MANMINTRODUCTIONMTOMSIGNALSMANDMNOISEMINMELEMCTRICALMCOMMUNICATION,MprovidedM suc
hM reproductionsM bearM copyrightMnotice,MbutMmayMnotMbeMreproducedMinManyMotherMformMorMforManyMotherMpur
poseMwithoutMtheMpriorMwrittenMconsentMofMTheMMcGraw-
HillMCompanies,MInc.,Mincluding,MbutMnotMlimitedMto,MinManyMnetworkMorMotherMelectronicMstorageMorMtransmission
,MorMbroadcastMforMdistanceMlearning.
www.mhhe.com
,ChapterM2
2.1-1
Ae j T0/2M Ae nM m
∫etMMj2pMAe
M
f jf
cnM (Mm nM)fM tM
d 0
M
M
jf
sinc(mM M n )M
T0 0 otherwise
MT0
M /2M
2.1-2
c0M v(t)MT0/M4M 2p M T0M /2M 2pMntM 2AM pMn
2
cM nt
0M
AcosM ( A)cosM dtM sinM
M dtM M
n
0 TMM T T pMn 2
TMM
/ 4M
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2MAM/ 0 2MAM/M 0 2MAM/M 0 2MAM/M7
Mp 3p 5p p
argMc 0 180 0 18
n 0
2.1-3
c0M M v(t)M A M/2 M
c 2
M T M/2 0 2MAt 2pMnt A A
M M M
n
A cos
T 0 M 0 dtM sinpMnM M (cospMnM 1)
0 T0 T pMnM (pMn)2M
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argMc 0 0 0 0
n
2.1-4
2-1
, 2 2p M
ctMMM T /2 M
M 0M
AcosM (cont.)
0
TMM T
0
0
0 0
2-2
to accompany
M
CommunicationSystems M
An Introduction to Signals and Noi
M M M M M
se inElectrical Communication
M M M
Fourth Edition M
A.MBruceMCarlson
RensselaerMPolytechnicMInstitute
PaulM B.M Crilly
UniversityMofMTennessee
JanetMC.MRutledge
UniversityMofMMarylandMatMBaltimore
,SolutionsMManualMtoMaccompany
COMMUNICATIONMSYSTEMS:MANMINTRODUCTIONMTOMSIGNALSMANDMNOISEMINMELECTRICALMCOMMUNICATION,MF
OURTHMEDITION
A.MBRUCEMCARLSON,MPAULMB.MCRILLY,MANDMJANETMC.MRUTLEDGE
PublishedMbyMMcGraw-HillMHigherMEducation,ManMimprintMofMTheMMcGraw-
HillMCompanies,MInc.,M1221MAvenueMofMtheMAmericas,MNewMYork,MNYM10020.MCopyrightM©MTheMMcGraw
-HillMCompanies,MInc.,M2002,M1986,M1975,M1968.M AllMrightsMreserved.
TheMcontents,MorMpartsMthereof,MmayMbeMreproducedMinMprintMformMsolelyMforMclassroomMuseMwithMCOMMUNICA
TIONMSYSTEMS:MANMINTRODUCTIONMTOMSIGNALSMANDMNOISEMINMELEMCTRICALMCOMMUNICATION,MprovidedM suc
hM reproductionsM bearM copyrightMnotice,MbutMmayMnotMbeMreproducedMinManyMotherMformMorMforManyMotherMpur
poseMwithoutMtheMpriorMwrittenMconsentMofMTheMMcGraw-
HillMCompanies,MInc.,Mincluding,MbutMnotMlimitedMto,MinManyMnetworkMorMotherMelectronicMstorageMorMtransmission
,MorMbroadcastMforMdistanceMlearning.
www.mhhe.com
,ChapterM2
2.1-1
Ae j T0/2M Ae nM m
∫etMMj2pMAe
M
f jf
cnM (Mm nM)fM tM
d 0
M
M
jf
sinc(mM M n )M
T0 0 otherwise
MT0
M /2M
2.1-2
c0M v(t)MT0/M4M 2p M T0M /2M 2pMntM 2AM pMn
2
cM nt
0M
AcosM ( A)cosM dtM sinM
M dtM M
n
0 TMM T T pMn 2
TMM
/ 4M
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2MAM/ 0 2MAM/M 0 2MAM/M 0 2MAM/M7
Mp 3p 5p p
argMc 0 180 0 18
n 0
2.1-3
c0M M v(t)M A M/2 M
c 2
M T M/2 0 2MAt 2pMnt A A
M M M
n
A cos
T 0 M 0 dtM sinpMnM M (cospMnM 1)
0 T0 T pMnM (pMn)2M
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argMc 0 0 0 0
n
2.1-4
2-1
, 2 2p M
ctMMM T /2 M
M 0M
AcosM (cont.)
0
TMM T
0
0
0 0
2-2
