Communication Systems (4th Ed.) Carlson – Complete Solutions Manual

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