Solutions Manual c
to accompany
c
Communication
Systems
c
An Introductionto Signalsand Noisein El
c c c c c c c
ectrical Communication
c
Fourth Edition c
A. Bruce Carlson
c c
Rensselaer Polytechnic Institute
c c
Paul B. Crilly c c
University of Tennessee c c
Janet C. Rutledge c c
University of Maryland at Baltimore
c c c c
,Solutions cManualcto caccompany
COMMUNICATIONcSYSTEMS:cANcINTRODUCTIONcTOcSIGNALScANDcNOISE cINcELECTRICALcCOMMUNICATION, c
FOURTHcEDITION
A.cBRUCE cCARLSON, cPAUL cB.cCRILLY, cANDcJANET cC.cRUTLEDGE
Published cby cMcGraw-HillcHigher cEducation, can cimprintcof cThecMcGraw-
HillcCompanies, cInc.,c1221 cAvenuecof cthecAmericas, cNewcYork, cNYc 10020.c Copyrightc©cThecMcGraw-
HillcCompanies, cInc.,c2002,c1986,c1975,c1968.cAllcrights creserved.
Theccontents,cor cparts cthereof,cmaycbecreproduced cin cprintcform csolelycfor cclassroomcusecwithc COMMUNICATIONcSYSTEMS:cANcI
NTRODUCTIONcTOcSIGNALScANDcNOISEcINcELEcCTRICALcCOMMUNICATION, cprovided csuchcreproductionscbearccopyrightcno
tice,cbutcmay cnotcbecreproduced cin cany cother cform cor cfor cany cother cpurposecwithoutcthecprior cwritten cconsentcof cThecMcGraw-
Hillc Companies, cInc.,cincluding, cbutcnotclimitedcto,cin canycnetwork cor cother celectroniccstoragecor ctransmission,corcbroadcastcforcdistan
cec learning.
www.mhhe.com
,Chapterc2
2.1-1
jϕ Aecjϕ nc=m
cn c= Ae ecj2π c(cm−n c)f c t cdtc=Aecjϕ sinc(mc−n)c=
Tc/ c
0
0
2c
T0
−T0c/2
0 otherwise
c
2.1-2
2c Tc 0c=0
c0 c v(t) / c4 c c2πnt T0 c/ 2 c 2πnt c 2Ac π n
cc = Acos c d tc+c (−A)cos c dt c= sin c
T c T T πn 2
n
0
c c / c4
T
c
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2cAc/cπ 0 2cAc/c3π 0 2cAc/c5π 0 2cAc/c7π
argccn 0 180 0 180
2.1-3
2
cc = 2cAtc 2πnt A A
T
T0c/2 c
n
0 T cosc T dtc= sinπn c−
A−
c
2c
(cosπcnc−1)
πn
c
0 0c 0 (πcn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argccn 0 0 0 0
2.1-4
2 T0c/ 2 c 2πctc
cc = Acosc =0 (cont.)
2-1
, Tc
0
0 T
0 0
2-2
to accompany
c
Communication
Systems
c
An Introductionto Signalsand Noisein El
c c c c c c c
ectrical Communication
c
Fourth Edition c
A. Bruce Carlson
c c
Rensselaer Polytechnic Institute
c c
Paul B. Crilly c c
University of Tennessee c c
Janet C. Rutledge c c
University of Maryland at Baltimore
c c c c
,Solutions cManualcto caccompany
COMMUNICATIONcSYSTEMS:cANcINTRODUCTIONcTOcSIGNALScANDcNOISE cINcELECTRICALcCOMMUNICATION, c
FOURTHcEDITION
A.cBRUCE cCARLSON, cPAUL cB.cCRILLY, cANDcJANET cC.cRUTLEDGE
Published cby cMcGraw-HillcHigher cEducation, can cimprintcof cThecMcGraw-
HillcCompanies, cInc.,c1221 cAvenuecof cthecAmericas, cNewcYork, cNYc 10020.c Copyrightc©cThecMcGraw-
HillcCompanies, cInc.,c2002,c1986,c1975,c1968.cAllcrights creserved.
Theccontents,cor cparts cthereof,cmaycbecreproduced cin cprintcform csolelycfor cclassroomcusecwithc COMMUNICATIONcSYSTEMS:cANcI
NTRODUCTIONcTOcSIGNALScANDcNOISEcINcELEcCTRICALcCOMMUNICATION, cprovided csuchcreproductionscbearccopyrightcno
tice,cbutcmay cnotcbecreproduced cin cany cother cform cor cfor cany cother cpurposecwithoutcthecprior cwritten cconsentcof cThecMcGraw-
Hillc Companies, cInc.,cincluding, cbutcnotclimitedcto,cin canycnetwork cor cother celectroniccstoragecor ctransmission,corcbroadcastcforcdistan
cec learning.
www.mhhe.com
,Chapterc2
2.1-1
jϕ Aecjϕ nc=m
cn c= Ae ecj2π c(cm−n c)f c t cdtc=Aecjϕ sinc(mc−n)c=
Tc/ c
0
0
2c
T0
−T0c/2
0 otherwise
c
2.1-2
2c Tc 0c=0
c0 c v(t) / c4 c c2πnt T0 c/ 2 c 2πnt c 2Ac π n
cc = Acos c d tc+c (−A)cos c dt c= sin c
T c T T πn 2
n
0
c c / c4
T
c
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2cAc/cπ 0 2cAc/c3π 0 2cAc/c5π 0 2cAc/c7π
argccn 0 180 0 180
2.1-3
2
cc = 2cAtc 2πnt A A
T
T0c/2 c
n
0 T cosc T dtc= sinπn c−
A−
c
2c
(cosπcnc−1)
πn
c
0 0c 0 (πcn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argccn 0 0 0 0
2.1-4
2 T0c/ 2 c 2πctc
cc = Acosc =0 (cont.)
2-1
, Tc
0
0 T
0 0
2-2
