Solutions Manual K
to accompany
K
CommunicationSystem K
s
An Introduction to Signals and Noise inEle
K K K K K K K
ctrical Communication
K
Fourth Edition K
A. Bruce Carlson
K K
Rensselaer Polytechnic Institute
K K
Paul B. Crilly K K
University of Tennessee K K
Janet C. Rutledge K K
University of Maryland at Baltimore
K K K K
,SolutionsKManualKtoKaccompany
COMMUNICATIONKSYSTEMS:KANKINTRODUCTIONKTOKSIGNALSKANDKNOISEKINKELECTRICALKCOMMUNICATION,KFO
URTHKEDITION
A.KBRUCEKCARLSON,KPAULKB.KCRILLY,KANDKJANETKC.KRUTLEDGE
PublishedKbyKMcGraw-HillKHigherKEducation,KanKimprintKofKTheKMcGraw-
HillKCompanies,KInc.,K1221KAvenueKofKtheKAmericas,KNewKYork,KNYK10020.KCopyrightK©KTheKMcGraw-
HillKCompanies,KInc.,K2002,K1986,K1975,K1968.K AllKrightsKreserved.
TheKcontents,KorKpartsKthereof,KmayKbeKreproducedKinKprintKformKsolelyKforKclassroomKuseKwithKCOMMUNICATIONKSYSTEMS:K
ANKINTRODUCTIONKTOKSIGNALSKANDKNOISEKINKELEKCTRICALKCOMMUNICATION,KprovidedK suchK reproductionsK bearKco
pyrightKnotice,KbutKmayKnotKbeKreproducedKinKanyKotherKformKorKforKanyKotherKpurposeKwithoutKtheKpriorKwrittenKconsentKofKTheKM
cGraw-
HillKCompanies,KInc.,Kincluding,KbutKnotKlimitedKto,KinKanyKnetworkKorKotherKelectronicKstorageKorKtransmission,KorKbroadcastKforKdi
stanceKlearning.
www.mhhe.com
,ChapterK2
2.1-1
jf AeKjf nK=m
cnK =Ae
T0K
/2K
+ee
j2pK (Km−nK)fK 0tK
Kjf dtK =A sinc(mK−Kn)K=
K
T0 0 otherwise
−KT0K /
2K
2.1-2
c0K v(t)K =0
T0K/K4K 2pKnt T0K /2 K 2pKntK 2A K pKn
2
cK =K + AcosK dtK (−KA)cosK dtK = sinK
TKK
n 0 T TKK/ 4
T pKn 2
K
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2KAK/Kp 0 2KAK/K3p 0 2KAK/K5p 0 2KAK/K7p
argKcn 0 180 0 180
2.1-3
c0K =K v(t)K =A K/2 K
2
cK =K T K/2K 2KAtK 2pKnt A A
0
n AK− T0 cos dtK = sinpKnK−K 2K (cospKnK−1)
T0 0 T0 pKnK (pKn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argKcn 0 0 0 0
2.1-4
2 2pKtK
cKK =K T0K /2 K
AcosK = (cont.)
0
2-1
, TKK
0
0 T
0 0
2-2
to accompany
K
CommunicationSystem K
s
An Introduction to Signals and Noise inEle
K K K K K K K
ctrical Communication
K
Fourth Edition K
A. Bruce Carlson
K K
Rensselaer Polytechnic Institute
K K
Paul B. Crilly K K
University of Tennessee K K
Janet C. Rutledge K K
University of Maryland at Baltimore
K K K K
,SolutionsKManualKtoKaccompany
COMMUNICATIONKSYSTEMS:KANKINTRODUCTIONKTOKSIGNALSKANDKNOISEKINKELECTRICALKCOMMUNICATION,KFO
URTHKEDITION
A.KBRUCEKCARLSON,KPAULKB.KCRILLY,KANDKJANETKC.KRUTLEDGE
PublishedKbyKMcGraw-HillKHigherKEducation,KanKimprintKofKTheKMcGraw-
HillKCompanies,KInc.,K1221KAvenueKofKtheKAmericas,KNewKYork,KNYK10020.KCopyrightK©KTheKMcGraw-
HillKCompanies,KInc.,K2002,K1986,K1975,K1968.K AllKrightsKreserved.
TheKcontents,KorKpartsKthereof,KmayKbeKreproducedKinKprintKformKsolelyKforKclassroomKuseKwithKCOMMUNICATIONKSYSTEMS:K
ANKINTRODUCTIONKTOKSIGNALSKANDKNOISEKINKELEKCTRICALKCOMMUNICATION,KprovidedK suchK reproductionsK bearKco
pyrightKnotice,KbutKmayKnotKbeKreproducedKinKanyKotherKformKorKforKanyKotherKpurposeKwithoutKtheKpriorKwrittenKconsentKofKTheKM
cGraw-
HillKCompanies,KInc.,Kincluding,KbutKnotKlimitedKto,KinKanyKnetworkKorKotherKelectronicKstorageKorKtransmission,KorKbroadcastKforKdi
stanceKlearning.
www.mhhe.com
,ChapterK2
2.1-1
jf AeKjf nK=m
cnK =Ae
T0K
/2K
+ee
j2pK (Km−nK)fK 0tK
Kjf dtK =A sinc(mK−Kn)K=
K
T0 0 otherwise
−KT0K /
2K
2.1-2
c0K v(t)K =0
T0K/K4K 2pKnt T0K /2 K 2pKntK 2A K pKn
2
cK =K + AcosK dtK (−KA)cosK dtK = sinK
TKK
n 0 T TKK/ 4
T pKn 2
K
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2KAK/Kp 0 2KAK/K3p 0 2KAK/K5p 0 2KAK/K7p
argKcn 0 180 0 180
2.1-3
c0K =K v(t)K =A K/2 K
2
cK =K T K/2K 2KAtK 2pKnt A A
0
n AK− T0 cos dtK = sinpKnK−K 2K (cospKnK−1)
T0 0 T0 pKnK (pKn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argKcn 0 0 0 0
2.1-4
2 2pKtK
cKK =K T0K /2 K
AcosK = (cont.)
0
2-1
, TKK
0
0 T
0 0
2-2
