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
r r


Rensselaer Polytechnic Institute
r r




Paul B. Crilly r r


University of Tennessee
r r




Janet C. Rutledge
r r


University of Maryland at Baltimore
r r r r

,SolutionsrManualrtoraccompany
COMMUNICATIONrSYSTEMS:rANrINTRODUCTIONrTOrSIGNALSrANDrNOISErINrELECTRICALrCOMMUNICATION,rFOURTHrEDITI
ON
A.rBRUCErCARLSON,rPAULrB.rCRILLY,rANDrJANETrC.rRUTLEDGE

PublishedrbyrMcGraw-HillrHigherrEducation,ranrimprintrofrTherMcGraw-
HillrCompanies,rInc.,r1221rAvenuerofrtherAmericas,rNewrYork,rNYr10020.rCopyrightr©rTherMcGraw-
HillrCompanies,rInc.,r2002,r1986,r1975,r1968.r Allrrightsrreserved.

Thercontents,rorrpartsrthereof,rmayrberreproducedrinrprintrformrsolelyrforrclassroomruserwithrCOMMUNICATIONrSYSTEMS:rANrI
NTRODUCTIONrTOrSIGNALSrANDrNOISErINrELErCTRICALr COMMUNICATION,rprovidedr suchr reproductionsr bearr copyrightrnotice,
rbutrmayrnotrberreproducedrinranyrotherrformrorrforranyrotherrpurposerwithoutrtherpriorrwrittenrconsentrofrTherMcGraw-

HillrCompanies,rInc.,rincluding,rbutrnotrlimitedrto,rinranyrnetworkrorrotherrelectronicrstoragerorrtransmission,rorrbroadcastrforrdis
tancerlearning.

www.mhhe.com

,Chapterr2

2.1-1
Ae j T0r/2r Aerjf nr m
cnr
f
∫ef j2pr (rm nr)fr 0tr
r dtr Aer sinc(mr rn)r
j

T0 rT0r /2r
0 otherwise

2.1-2




2 r 0T0r/r4r
c0r v(t) 2prnt T0r /2 r 2prntr 2 A r prn
cr r Acos r dtr A)cos
r r dtr sinr
n
0 Trr T Tr
T prn 2
r / 4r
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2rAr/rp 0 2rAr/r3p 0 2rAr/r5p 0 2rAr/r7p
argrcn 0 0




2.1-3




c0r r v(t)r A r/2 r
2
cr r T0r/2r 2rAtr 2prnt A A
Ar co
T0 s
n
T 0

0 dtr sinprnr r (cosprnr
0
T prnr (prn)2r

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



2.1-4




2-1

, 2 T0r /2 r 2prtr
crr r Acos
r (cont.)
Trr T
0
0
0 0




2-2