Solutions Manual C
to accompany
C
CommunicationSystem C
s
An Introduction to Signals and Noise inEle
C C C C C C C
ctrical Communication
C
Fourth Edition C
A. Bruce Carlson
C C
Rensselaer Polytechnic Institute
C C
Paul B. Crilly C C
University of Tennessee C C
Janet C. Rutledge C C
University of Maryland at Baltimore
C C C C
,SolutionsCManualCtoCaccompany
COMMUNICATIONCSYSTEMS:CANCINTRODUCTIONCTOCSIGNALSCANDCNOISECINCELECTRICALCCOMMUNICATION,CFO
URTHCEDITION
A.CBRUCECCARLSON,CPAULCB.CCRILLY,CANDCJANETCC.CRUTLEDGE
PublishedCbyCMcGraw-HillCHigherCEducation,CanCimprintCofCTheCMcGraw-
HillCCompanies,CInc.,C1221CAvenueCofCtheCAmericas,CNewCYork,CNYC10020.CCopyrightC©CTheCMcGraw-
HillCCompanies,CInc.,C2002,C1986,C1975,C1968.C AllCrightsCreserved.
TheCcontents,CorCpartsCthereof,CmayCbeCreproducedCinCprintCformCsolelyCforCclassroomCuseCwithCCOMMUNICATIONCSYSTEMS:CA
NCINTRODUCTIONCTOCSIGNALSCANDCNOISECINCELECCTRICALCCOMMUNICATION,CprovidedC suchC reproductionsCbearCcopyr
ightCnotice,CbutCmayCnotCbeCreproducedCinCanyCotherCformCorCforCanyCotherCpurposeCwithoutCtheCpriorCwrittenCconsentCofCTheCMcGra
w-
HillCCompanies,CInc.,Cincluding,CbutCnotClimitedCto,CinCanyCnetworkCorCotherCelectronicCstorageCorCtransmission,CorCbroadcastCforCdist
anceClearning.
www.mhhe.com
,ChapterC2
2.1-1
jf AeCjf nC=m
cnC =Ae
T0C/2C
+ee
j2pC (Cm−nC)fC 0tC
Cjf dtC =A sinc(mC−Cn)C=
C
T0 0 otherwise
−CT0C /
2C
2.1-2
2 C =0
c0C v(t) T0C/C4C 2pCnt T0C /2 C 2pCntC 2A C pCn
cC =C + AcosC dtC (−CA)cosC dtC = sinC
TCC
n 0 T TCC/ 4
T pCn 2
C
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2CAC/Cp 0 2CAC/C3p 0 2CAC/C5p 0 2CAC/C7p
argCcn 0 180 0 180
2.1-3
c0C =C v(t)C =A C/2 C
2
cC =C T C/2C 2CAtC 2pCnt A A
0
n AC− T0 cos dtC = sinpCnC−C 2C (cospCnC−1)
T0 0 T0 pCnC (pCn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argCcn 0 0 0 0
2.1-4
2 2pCtC
cCC =C T0C /2 C
AcosC = (cont.)
0
2-1
, TCC
0
0 T
0 0
2-2
to accompany
C
CommunicationSystem C
s
An Introduction to Signals and Noise inEle
C C C C C C C
ctrical Communication
C
Fourth Edition C
A. Bruce Carlson
C C
Rensselaer Polytechnic Institute
C C
Paul B. Crilly C C
University of Tennessee C C
Janet C. Rutledge C C
University of Maryland at Baltimore
C C C C
,SolutionsCManualCtoCaccompany
COMMUNICATIONCSYSTEMS:CANCINTRODUCTIONCTOCSIGNALSCANDCNOISECINCELECTRICALCCOMMUNICATION,CFO
URTHCEDITION
A.CBRUCECCARLSON,CPAULCB.CCRILLY,CANDCJANETCC.CRUTLEDGE
PublishedCbyCMcGraw-HillCHigherCEducation,CanCimprintCofCTheCMcGraw-
HillCCompanies,CInc.,C1221CAvenueCofCtheCAmericas,CNewCYork,CNYC10020.CCopyrightC©CTheCMcGraw-
HillCCompanies,CInc.,C2002,C1986,C1975,C1968.C AllCrightsCreserved.
TheCcontents,CorCpartsCthereof,CmayCbeCreproducedCinCprintCformCsolelyCforCclassroomCuseCwithCCOMMUNICATIONCSYSTEMS:CA
NCINTRODUCTIONCTOCSIGNALSCANDCNOISECINCELECCTRICALCCOMMUNICATION,CprovidedC suchC reproductionsCbearCcopyr
ightCnotice,CbutCmayCnotCbeCreproducedCinCanyCotherCformCorCforCanyCotherCpurposeCwithoutCtheCpriorCwrittenCconsentCofCTheCMcGra
w-
HillCCompanies,CInc.,Cincluding,CbutCnotClimitedCto,CinCanyCnetworkCorCotherCelectronicCstorageCorCtransmission,CorCbroadcastCforCdist
anceClearning.
www.mhhe.com
,ChapterC2
2.1-1
jf AeCjf nC=m
cnC =Ae
T0C/2C
+ee
j2pC (Cm−nC)fC 0tC
Cjf dtC =A sinc(mC−Cn)C=
C
T0 0 otherwise
−CT0C /
2C
2.1-2
2 C =0
c0C v(t) T0C/C4C 2pCnt T0C /2 C 2pCntC 2A C pCn
cC =C + AcosC dtC (−CA)cosC dtC = sinC
TCC
n 0 T TCC/ 4
T pCn 2
C
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2CAC/Cp 0 2CAC/C3p 0 2CAC/C5p 0 2CAC/C7p
argCcn 0 180 0 180
2.1-3
c0C =C v(t)C =A C/2 C
2
cC =C T C/2C 2CAtC 2pCnt A A
0
n AC− T0 cos dtC = sinpCnC−C 2C (cospCnC−1)
T0 0 T0 pCnC (pCn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argCcn 0 0 0 0
2.1-4
2 2pCtC
cCC =C T0C /2 C
AcosC = (cont.)
0
2-1
, TCC
0
0 T
0 0
2-2
