Solutions Manual
to accompany
Communication
Systems
An Introduction to Signals and Noise in
Electrical Communication
Fourth Edition
A. Bruce Carlson
Rensselaer Polytechnic Institute
Paul B. Crilly
University of Tennessee
Janet C. Rutledge
University of Maryland at Baltimore
,SolutionsjoManualjotojoaccompany
COMMUNICATIONjoSYSTEMS:joANjoINTRODUCTIONjoTOjoSIGNALSjoANDjoNOISEjoINjoELECTRICALjoCOMMUNICATI
ON,joFOURTHjoEDITION
A.joBRUCEjoCARLSON,joPAULjoB.joCRILLY,joANDjoJANETjoC.joRUTLEDGE
PublishedjobyjoMcGraw-HilljoHigherjoEducation,joanjoimprintjoofjoThejoMcGraw-
HilljoCompanies,joInc.,jo1221joAvenuejoofjothejoAmericas,joNewjoYork,joNYjo10020.joCopyrightjo©joThejoMcGraw-
HilljoCompanies,joInc.,jo2002,jo1986,jo1975,jo1968.j o Alljorightsjoreserved.
Thejocontents,joorjopartsjothereof,jomayjobejoreproducedjoinjoprintjoformjosolelyjoforjoclassroomjousejowithjoCOMMUNICATIONjo
SYSTEMS:joANjoINTRODUCTIONjoTOjoSIGNALSjoANDjoNOISEjoINjoELEjoCTRICALjoCOMMUNICATION,joprovidedjosuchjo
reproductionsjobearjocopyrightjonotice,jobutjomayjonotjobejoreproducedjoinjoanyjootherjoformjoorjoforjoanyjootherjopurposejowithoutj
othejopriorjowrittenjoconsentjoofjoThejoMcGraw-
HilljoCompanies,joInc.,joincluding,jobutjonotjolimitedjoto,joinjoanyjonetworkjoorjootherjoelectronicjostoragejoorjotransmission,joorjobr
oadcastjoforjodistancejolearning.
www.mhhe.com
,Chapterjo2
2.1-1
Ae jf Aejoj njom
cnj o /2jjo
eo Ae
T0o
j2pjo (jomnjo)fjo 0tjo f
jo jf dtj
jo sinc(mjojon)jo
T0
joT0j
0 otherwise
o /2jo
2.1-2
c0j o v(t)j oT0/jo4j o 2pjont T0j o /2 jo 2pjontjo 2A jo pjon
c2j o j 0jo dtjo
o dtjo Acosjo (joA)cosjo sinjo
Tjojo
n
0
T
jojo
T
T pjon 2
/ 4jo
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2joAjo/jo 0 2joAjo/jo3 0 2joAjo/jo5p 0 2joAjo/jo7p
p p
argjocn 0 180 0 180
2.1-3
c0j o j o v(t)j o A jo/2 jo
c2j o j T jo/2j 2joAtjo 2pjont A A
o o
0
T
n
Ajo cos 0 dtjo sinpjonjojo
(cospjonjo1)
T0
0
0
T pjonjo (pjon)2j o
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argjocn 0 0 0 0
2.1-4
2 jo
cjoj o jo T0jo/2 j o Acosjo2pjot 0
2-1
, Tjojo
0
(cont.)
0 T
0 0
2-2
to accompany
Communication
Systems
An Introduction to Signals and Noise in
Electrical Communication
Fourth Edition
A. Bruce Carlson
Rensselaer Polytechnic Institute
Paul B. Crilly
University of Tennessee
Janet C. Rutledge
University of Maryland at Baltimore
,SolutionsjoManualjotojoaccompany
COMMUNICATIONjoSYSTEMS:joANjoINTRODUCTIONjoTOjoSIGNALSjoANDjoNOISEjoINjoELECTRICALjoCOMMUNICATI
ON,joFOURTHjoEDITION
A.joBRUCEjoCARLSON,joPAULjoB.joCRILLY,joANDjoJANETjoC.joRUTLEDGE
PublishedjobyjoMcGraw-HilljoHigherjoEducation,joanjoimprintjoofjoThejoMcGraw-
HilljoCompanies,joInc.,jo1221joAvenuejoofjothejoAmericas,joNewjoYork,joNYjo10020.joCopyrightjo©joThejoMcGraw-
HilljoCompanies,joInc.,jo2002,jo1986,jo1975,jo1968.j o Alljorightsjoreserved.
Thejocontents,joorjopartsjothereof,jomayjobejoreproducedjoinjoprintjoformjosolelyjoforjoclassroomjousejowithjoCOMMUNICATIONjo
SYSTEMS:joANjoINTRODUCTIONjoTOjoSIGNALSjoANDjoNOISEjoINjoELEjoCTRICALjoCOMMUNICATION,joprovidedjosuchjo
reproductionsjobearjocopyrightjonotice,jobutjomayjonotjobejoreproducedjoinjoanyjootherjoformjoorjoforjoanyjootherjopurposejowithoutj
othejopriorjowrittenjoconsentjoofjoThejoMcGraw-
HilljoCompanies,joInc.,joincluding,jobutjonotjolimitedjoto,joinjoanyjonetworkjoorjootherjoelectronicjostoragejoorjotransmission,joorjobr
oadcastjoforjodistancejolearning.
www.mhhe.com
,Chapterjo2
2.1-1
Ae jf Aejoj njom
cnj o /2jjo
eo Ae
T0o
j2pjo (jomnjo)fjo 0tjo f
jo jf dtj
jo sinc(mjojon)jo
T0
joT0j
0 otherwise
o /2jo
2.1-2
c0j o v(t)j oT0/jo4j o 2pjont T0j o /2 jo 2pjontjo 2A jo pjon
c2j o j 0jo dtjo
o dtjo Acosjo (joA)cosjo sinjo
Tjojo
n
0
T
jojo
T
T pjon 2
/ 4jo
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2joAjo/jo 0 2joAjo/jo3 0 2joAjo/jo5p 0 2joAjo/jo7p
p p
argjocn 0 180 0 180
2.1-3
c0j o j o v(t)j o A jo/2 jo
c2j o j T jo/2j 2joAtjo 2pjont A A
o o
0
T
n
Ajo cos 0 dtjo sinpjonjojo
(cospjonjo1)
T0
0
0
T pjonjo (pjon)2j o
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argjocn 0 0 0 0
2.1-4
2 jo
cjoj o jo T0jo/2 j o Acosjo2pjot 0
2-1
, Tjojo
0
(cont.)
0 T
0 0
2-2