Solutions Manual to accompany Communication Systems An Introduction to Signals and Noise inElectrical Communication Fourth Edition

Solutions Manual
to accompany


Communication
Systems
An Introduction to Signals and
Noise inElectrical Communication
Fourth Edition


A. Bruce Carlson
Rensselaer Polytechnic Institute

Paul B. Crilly
University of Tennessee

Janet C. Rutledge
University of Maryland at Baltimore

,SolutionsUManualUtoUaccompany
COMMUNICATIONUSYSTEMS:UANUINTRODUCTIONUTOUSIGNALSUANDUNOISEUINUELECTRICALUCOMMUNICATION,UFOURTHUEDITI
ON
A.UBRUCEUCARLSON,UPAULUB.UCRILLY,UANDUJANETUC.URUTLEDGE

PublishedUbyUMcGraw-HillUHigherUEducation,UanUimprintUofUTheUMcGraw-
HillUCompanies,UInc.,U1221UAvenueUofUtheUAmericas,UNewUYork,UNYU10020.UCopyrightU©UTheUMcGraw-
HillUCompanies,UInc.,U2002,U1986,U1975,U1968.U AllUrightsUreserved.

TheUcontents,UorUpartsUthereof,UmayUbeUreproducedUinUprintUformUsolelyUforUclassroomUuseUwithUCOMMUNICATIONUSYSTEMS:UA
NUINTRODUCTIONUTOUSIGNALSUANDUNOISEUINUELEUCTRICALU COMMUNICATION,UprovidedU suchU reproductionsU bearU copyrightUno
tice,UbutUmayUnotUbeUreproducedUinUanyUotherUformUorUforUanyUotherUpurposeUwithoutUtheUpriorUwrittenUconsentUofUTheUMcGraw
-
HillUCompanies,UInc.,Uincluding,UbutUnotUlimitedUto,UinUanyUnetworkUorUotherUelectronicUstorageUorUtransmission,UorUbroadcastUfor
UdistanceUlearning.


www.mhhe.com

,ChapterU2

2.1-1
jf AeUjf nU m
c Ae
T0/2
U

∫ dtU A sinc(mU Un)U
U j2pU (Um nU)fU 0tU
nU eUjf
eU
T0 0 otherwise
UT0U /
2U


2.1-2




c0U v(t)U =0
T0U/U4U 2pUnt T0U /2 U 2pUntU 2A U pUn
2
cU U tU AcosU d ( UA)cosU dtU sinU
n
T
0 UU T T
T pUn 2
UU / 4U
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2UAU/U 0 2UAU/U3p 0 2UAU/U5p 0 2UAU/U7p
p
argUcn 0 180 0 180


2.1-3




c0U =U v(t)U =A U/2 U
2
cU U T U/2U 2UAtU
0 2pUnt A A
AU co 0 dtU
T0 s
n
T 0 sinpUnU U (cospUnU 1)
0  T pUnU (pUn)2U
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argUcn 0 0 0 0


2.1-4




2-
1

, 2 2pUtU
cUU U
T0U /2 U
AcosU (cont.)
0
0
TUU 0 T
0 0




2-
2