Communication Systems: An Introduction to Signals and Noise 4th Ed Solutions Manual

Solutions Manual A




to accompany
A




CommunicationSystems A




An Introduction to Signals and Nois
A A A A A




e inElectrical Communication
A A A




Fourth Edition A




A. Bruce Carlson
A A


Rensselaer Polytechnic Institute
A A




Paul B. Crilly A A


University of Tennessee A A




Janet C. Rutledge A A


University of Maryland at Baltimore
A A A A

,SolutionsAManualAtoAaccompany
COMMUNICATIONASYSTEMS:AANAINTRODUCTIONATOASIGNALSAANDANOISEAINAELECTRICALACOMMUNICATION,AFOURTHAE
DITION
A.ABRUCEACARLSON,APAULAB.ACRILLY,AANDAJANETAC.ARUTLEDGE

PublishedAbyAMcGraw-HillAHigherAEducation,AanAimprintAofATheAMcGraw-
HillACompanies,AInc.,A1221AAvenueAofAtheAAmericas,ANewAYork,ANYA10020.ACopyrightA©ATheAMcGraw-
HillACompanies,AInc.,A2002,A1986,A1975,A1968.A AllArightsAreserved.

TheAcontents,AorApartsAthereof,AmayAbeAreproducedAinAprintAformAsolelyAforAclassroomAuseAwithACOMMUNICATIONASYSTEM
S:AANAINTRODUCTIONATOASIGNALSAANDANOISEAINAELEACTRICALACOMMUNICATION,AprovidedA suchA reproductionsA bearA co
pyrightAnotice,AbutAmayAnotAbeAreproducedAinAanyAotherAformAorAforAanyAotherApurposeAwithoutAtheApriorAwrittenAconsentA
ofATheAMcGraw-
HillACompanies,AInc.,Aincluding,AbutAnotAlimitedAto,AinAanyAnetworkAorAotherAelectronicAstorageAorAtransmission,AorAbroadcas
tAforAdistanceAlearning.

www.mhhe.com

,ChapterA2

2.1-1
Ae j T0A/2A  AeAj nA m
cnA 
f
∫eAe j2pA (Am nA)fA 0tA
A jf
A
dtA 
sinc(mA An)A 
f


T0  0 otherwise
 AT0A /
2A



2.1-2




c0A v(t)A =0
T0A/A4A 2pAnt T0A /2 A 2pAntA 2 A A pAn
2
cA  A tA AcosA d ( AA)cosA dtA  sinA

n
T T T pAn 2
0AA
T AA/ 4A
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2AAA/A 0 2AAA/A3p 0 2AAA/A5p 0 2AAA/A7p
p
argAc 0  180 0  180
n  


2.1-3




c0A =A v(t)A =A A/2 A
2
cA  A T A/2A 0 2AAtA 2pAnt A A
 
T  0 AA c
os
n
0 dtA  sinpAnA A (cospAnA 1)
0  T0  T pAnA (pAn)2A

n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argAc 0 0 0 0
n




2.1-4


2-
1

, 2 2pAtA
cAA  A
T0A /2 A
Acos (cont.)
0 A




TAA0 T
0

0 0




2-
2