Solutions Manual m
to accompany
m
CommunicationSystem m
s
An Introduction to Signals and Noise inEle
m m m m m m m
ctrical Communication
m
Fourth Edition m
A. Bruce Carlson
m m
Rensselaer Polytechnic Institute
m m
Paul B. Crilly m m
University of Tennessee m m
Janet C. Rutledge
m m
University of Maryland at Baltimore
m m m m
,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,mmaymbemreproducedminmprintmformmsolelymformclassroommusemwithmCOMMUNICATIONmSYSTEMS:
mANmINTRODUCTIONmTOmSIGNALSmANDmNOISEmINmELEmCTRICALm COMMUNICATION,mprovidedm suchm reproductionsm bearm
copyrightmnotice,mbutmmaymnotmbemreproducedminmanymothermformmormformanymothermpurposemwithoutmthempriormwrittenmconsentmofmTh
emMcGraw-
HillmCompanies,mInc.,mincluding,mbutmnotmlimitedmto,minmanymnetworkmormothermelectronicmstoragemormtransmission,mormbroadcastmform
distancemlearning.
www.mhhe.com
,Chapterm2
2.1-1
jf Aemjf nm=m
cnm =Ae
T0m
/2m
+ee
j2pm (mm−nm)fm 0tm
mjf dtm =A sinc(mm−mn)m=
m
T0 0 otherwise
−mT0m /
2m
2.1-2
c0 v(t) =0
T0m/m4m 2pmnt T0m /2 m 2pmntm 2A m pmn
2
cm =m m+ Acosm dt (−mA)cosm dtm = sinm
Tmm
n 0 T Tmm/
T pmn 2
4m
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2mAm/m 0 2mAm/m3p 0 2mAm/m5p 0 2mAm/m7p
p
argmcn 0 180 0 180
2.1-3
c0 = v(t) =A /2
2
cm =m T m/2m 2mAtm 2pmnt A A
0
T Am−
T0
cos 0
n
0
dtm = sinpmnm−m (cospmnm−1)
0
T pmnm (pmn)2m
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argmcn 0 0 0 0
2.1-4
2 2pmtm
cmm =m T0m /2 m
Acosm =
0
2-1
, Tmm
(cont.)
0
0 T
0 0
2-2
to accompany
m
CommunicationSystem m
s
An Introduction to Signals and Noise inEle
m m m m m m m
ctrical Communication
m
Fourth Edition m
A. Bruce Carlson
m m
Rensselaer Polytechnic Institute
m m
Paul B. Crilly m m
University of Tennessee m m
Janet C. Rutledge
m m
University of Maryland at Baltimore
m m m m
,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,mmaymbemreproducedminmprintmformmsolelymformclassroommusemwithmCOMMUNICATIONmSYSTEMS:
mANmINTRODUCTIONmTOmSIGNALSmANDmNOISEmINmELEmCTRICALm COMMUNICATION,mprovidedm suchm reproductionsm bearm
copyrightmnotice,mbutmmaymnotmbemreproducedminmanymothermformmormformanymothermpurposemwithoutmthempriormwrittenmconsentmofmTh
emMcGraw-
HillmCompanies,mInc.,mincluding,mbutmnotmlimitedmto,minmanymnetworkmormothermelectronicmstoragemormtransmission,mormbroadcastmform
distancemlearning.
www.mhhe.com
,Chapterm2
2.1-1
jf Aemjf nm=m
cnm =Ae
T0m
/2m
+ee
j2pm (mm−nm)fm 0tm
mjf dtm =A sinc(mm−mn)m=
m
T0 0 otherwise
−mT0m /
2m
2.1-2
c0 v(t) =0
T0m/m4m 2pmnt T0m /2 m 2pmntm 2A m pmn
2
cm =m m+ Acosm dt (−mA)cosm dtm = sinm
Tmm
n 0 T Tmm/
T pmn 2
4m
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2mAm/m 0 2mAm/m3p 0 2mAm/m5p 0 2mAm/m7p
p
argmcn 0 180 0 180
2.1-3
c0 = v(t) =A /2
2
cm =m T m/2m 2mAtm 2pmnt A A
0
T Am−
T0
cos 0
n
0
dtm = sinpmnm−m (cospmnm−1)
0
T pmnm (pmn)2m
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argmcn 0 0 0 0
2.1-4
2 2pmtm
cmm =m T0m /2 m
Acosm =
0
2-1
, Tmm
(cont.)
0
0 T
0 0
2-2
