Solutions Manual g
to accompanyg
CommunicationSystems g
An Introduction to Signals and
g g g g
Noise inElectrical Communication
g g g g
Fourth Edition g
A. Bruce Carlson
g g
Rensselaer gPolytechnic gInstitute
Paul B. Crilly
g g
University gof gTennessee
Janet C. Rutledge
g g
University gof gMaryland gat gBaltimore
,Solutions gManual gto gaccompany
COMMUNICATION gSYSTEMS: gAN gINTRODUCTION gTO gSIGNALS gAND gNOISE gIN gELECTRICAL gCOMMUNICATION,
gFOURTH gEDITION
A. gBRUCE gCARLSON, gPAUL gB. gCRILLY, gAND gJANET gC. gRUTLEDGE
Published gby gMcGraw-Hill gHigher gEducation, gan gimprint gof gThe gMcGraw-Hill gCompanies, gInc., g1221
gAvenue gof gthe gAmericas,gNew gYork, gNY g10020. gCopyright g© gThe gMcGraw-Hill gCompanies, gInc., g2002,
g1986, g1975, g1968. g All grights greserved.
The gcontents, gor gparts gthereof, gmay gbe greproduced gin gprint gform gsolely gfor gclassroom guse gwith gCOMMUNICATION
gSYSTEMS: gAN gINTRODUCTION gTO gSIGNALS gAND gNOISE gIN gELE gCTRICAL g COMMUNICATION, gprovided g such
g reproductions g bear g copyrightgnotice, gbut gmay gnot gbe greproduced gin gany gother gform gor gfor gany gother gpurpose
gwithout gthe gprior gwritten gconsent gof gThe gMcGraw-Hill gCompanies, gInc., gincluding, gbut gnot glimited gto, gin gany
gnetwork gor gother gelectronic gstorage gor gtransmission, gor gbroadcast gfor gdistance glearning.
www.mhhe.com
,Chapter g2
2.1-1
Ae j T0/2gg Ae ng m
cn g
f
∫eg gj2pAeg( gmgjf n g)f g 0t g
dt
sinc(m g n)
g
g
jf
g
T0 gT0
0 otherwise
g /2 g
2.1-2
c0 g v(t) g 0
T0 g/ g4 g 2p T0 g /2 g 2p gnt g 2 A g p gn
c gnt A cos A)cos g dt g sin g
g2 dt g g g
g
n
0
g Tg T T p gn 2
Tg
g/ 4 g
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2gAg/ 0 2gAg/ 0 2gAg/ 0 2gAg/ g7p
gp g3p g5p
arg 0 0
g cn
2.1-3
c0 g g v(t) g A g/2 g
c
g2
T g/2 2gAt
0 2p gnt A A
g g
g
n
A cos
T g 0 0 dt g sinp gn g g (cosp gn g
0 T0 T p gn g (p gn)2 g
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg 0 0 0 0
g cn
2.1-4
2-1
, 2 T0 g/2 g
cg2gpg gt g g Acos (cont.)
Tgg T
0
0
0 0
2-2
to accompanyg
CommunicationSystems g
An Introduction to Signals and
g g g g
Noise inElectrical Communication
g g g g
Fourth Edition g
A. Bruce Carlson
g g
Rensselaer gPolytechnic gInstitute
Paul B. Crilly
g g
University gof gTennessee
Janet C. Rutledge
g g
University gof gMaryland gat gBaltimore
,Solutions gManual gto gaccompany
COMMUNICATION gSYSTEMS: gAN gINTRODUCTION gTO gSIGNALS gAND gNOISE gIN gELECTRICAL gCOMMUNICATION,
gFOURTH gEDITION
A. gBRUCE gCARLSON, gPAUL gB. gCRILLY, gAND gJANET gC. gRUTLEDGE
Published gby gMcGraw-Hill gHigher gEducation, gan gimprint gof gThe gMcGraw-Hill gCompanies, gInc., g1221
gAvenue gof gthe gAmericas,gNew gYork, gNY g10020. gCopyright g© gThe gMcGraw-Hill gCompanies, gInc., g2002,
g1986, g1975, g1968. g All grights greserved.
The gcontents, gor gparts gthereof, gmay gbe greproduced gin gprint gform gsolely gfor gclassroom guse gwith gCOMMUNICATION
gSYSTEMS: gAN gINTRODUCTION gTO gSIGNALS gAND gNOISE gIN gELE gCTRICAL g COMMUNICATION, gprovided g such
g reproductions g bear g copyrightgnotice, gbut gmay gnot gbe greproduced gin gany gother gform gor gfor gany gother gpurpose
gwithout gthe gprior gwritten gconsent gof gThe gMcGraw-Hill gCompanies, gInc., gincluding, gbut gnot glimited gto, gin gany
gnetwork gor gother gelectronic gstorage gor gtransmission, gor gbroadcast gfor gdistance glearning.
www.mhhe.com
,Chapter g2
2.1-1
Ae j T0/2gg Ae ng m
cn g
f
∫eg gj2pAeg( gmgjf n g)f g 0t g
dt
sinc(m g n)
g
g
jf
g
T0 gT0
0 otherwise
g /2 g
2.1-2
c0 g v(t) g 0
T0 g/ g4 g 2p T0 g /2 g 2p gnt g 2 A g p gn
c gnt A cos A)cos g dt g sin g
g2 dt g g g
g
n
0
g Tg T T p gn 2
Tg
g/ 4 g
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2gAg/ 0 2gAg/ 0 2gAg/ 0 2gAg/ g7p
gp g3p g5p
arg 0 0
g cn
2.1-3
c0 g g v(t) g A g/2 g
c
g2
T g/2 2gAt
0 2p gnt A A
g g
g
n
A cos
T g 0 0 dt g sinp gn g g (cosp gn g
0 T0 T p gn g (p gn)2 g
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg 0 0 0 0
g cn
2.1-4
2-1
, 2 T0 g/2 g
cg2gpg gt g g Acos (cont.)
Tgg T
0
0
0 0
2-2
