Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition

Solutions Manual
to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition

A. Bruce Carlson
s s


Rensselaer Polytechnic Institute
s s




Paul B. Crilly s s


University of Tennessee
s s




Janet C. Rutledge
s s


University of Maryland at Baltimore
s s s s

,SolutionssManualstosaccompany
COMMUNICATIONsSYSTEMS:sANsINTRODUCTIONsTOsSIGNALSsANDsNOISEsINsELECTRICALsCOMMUNICATION,sFOURTHsEDITI
ON
A.sBRUCEsCARLSON,sPAULsB.sCRILLY,sANDsJANETsC.sRUTLEDGE

PublishedsbysMcGraw-HillsHighersEducation,sansimprintsofsThesMcGraw-
HillsCompanies,sInc.,s1221sAvenuesofsthesAmericas,sNewsYork,sNYs10020.sCopyrights©sThesMcGraw-
HillsCompanies,sInc.,s2002,s1986,s1975,s1968.s Allsrightssreserved.

Thescontents,sorspartssthereof,smaysbesreproducedsinsprintsformssolelysforsclassroomsuseswithsCOMMUNICATIONsSYSTEMS:sAN
sINTRODUCTIONsTOsSIGNALSsANDsNOISEsINsELEsCTRICALs COMMUNICATION,sprovideds suchs reproductionss bears copyrightsnoti

ce,sbutsmaysnotsbesreproducedsinsanysothersformsorsforsanysotherspurposeswithoutsthespriorswrittensconsentsofsThesMcGraw-
HillsCompanies,sInc.,sincluding,sbutsnotslimitedsto,sinsanysnetworksorsotherselectronicsstoragesorstransmission,sorsbroadcastsforsd
istanceslearning.

www.mhhe.com

,Chapters2

2.1-1
Ae j T0s/2s Aesjf ns m
cns
f
∫ejf j2ps (sm ns)fs 0ts
s dts Ae sinc(ms sn)s
s
T0 0 otherwise
sT0s /2
s




2.1-2




2 s 0T0s/s4s
c0s v(t) 2psnt T0s /2 s 2psnts 2 A s psn
cs s Acos s dts A)cos
s s dts sins
n
0 Tss T Ts
T psn 2
s/ 4s
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2sAs/sp 0 2sAs/s3p 0 2sAs/s5p 0 2sAs/s7p
argscn 0 0




2.1-3




c0s s v(t)s A s/2 s
2
cs s T0s/2s 2sAts 2psnt A A
As co
T0 s
n
T 0

0 dts sinpsns s (cospsns
0 T psns (psn)2s

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



2.1-4




2-1

, 2 2psts
css s
T0s /2 s
Acos (cont.)
0 s




Tss T
0
0
0 0




2-2