Solutions Manual to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition
A. Bruce Carlson
e e
Rensselaer Polytechnic Institute
e e
Paul B. Crilly
e e
University of Tennessee
e e
Janet C. Rutledge
e e
University of Maryland at Baltimore
e e e e
,SolutionseManualetoeaccompany
COMMUNICATIONeSYSTEMS:eANeINTRODUCTIONeTOeSIGNALSeANDeNOISEeINeELECTRICALe COMMUNICATION,eFOURTHe EDI
TION
A.eBRUCEeCARLSON,ePAULeB.eCRILLY,eANDeJANETeC.eRUTLEDGE
Publishede byeMcGraw-HilleHighereEducation,eaneimprinteofe TheeMcGraw-
HilleCompanies,eInc.,e1221e Avenueeofethee Americas,eNeweYork,eNYe10020.eCopyrighte©eTheeMcGraw-
HilleCompanies,eInc.,e2002,e1986,e1975,e1968.e Allerightsereserved.
Theecontents,eorepartsethereof,emayebeereproducedeineprinteformesolelyeforeclassroomeuseewithe COMMUNICATIONeSYSTEMS:e
ANeINTRODUCTIONeTOeSIGNALSeANDeNOISEeINeELEeCTRICALe COMMUNICATION,eprovidede such e reproductionse beare copyrig
htenotice,e butemayenote beereproducedeineanyeothereformeoreforeanyeotherepurposeewithoutethee priorewritteneconsente ofe TheeM
cGraw-
Hille Companies,eInc.,eincluding,e butenotelimitedeto,eineanyenetworke oreothereelectronicestoragee oretransmission,eorebroadcastefo
redistancee learning.
www.mhhe.com
,Chaptere2
2.1-1
Ae j T0e/2e Aeej ne m
cne
f
∫ee j2pe (em ne)fe 0te
ejf
e
dte A
sinc(me en)e
f
T0 0 otherwise
eT0e /
2e
2.1-2
c0 e v(t)e =0T0e/e4e 2pent T0e /2 e 2pente 2 A e pen
2e e
c Acose dt ( eA)cose dte sine
e
n
T0ee T T pen 2
Tee / 4 e
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2eAe/e 0 2eAe/e3p 0 2eAe/e5p 0 2eAe/e7p
p
argec 0 180 0 180
n
2.1-3
c0 e =e v(t)e =A e/ 2 e
2
ce e T e/2e 0 2eAte 2pent A A
Ae os c
n
T 0 0 dte sinpene e (cospene 1)
0 T0 T pene (pen)2e
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argec 0 0 0 0
n
2.1-4
2-
1
, 2 2pete
cee e
T0e /2 e
Acos (cont.)
0 e
Tee T
0
0
0 0
2-
2
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition
A. Bruce Carlson
e e
Rensselaer Polytechnic Institute
e e
Paul B. Crilly
e e
University of Tennessee
e e
Janet C. Rutledge
e e
University of Maryland at Baltimore
e e e e
,SolutionseManualetoeaccompany
COMMUNICATIONeSYSTEMS:eANeINTRODUCTIONeTOeSIGNALSeANDeNOISEeINeELECTRICALe COMMUNICATION,eFOURTHe EDI
TION
A.eBRUCEeCARLSON,ePAULeB.eCRILLY,eANDeJANETeC.eRUTLEDGE
Publishede byeMcGraw-HilleHighereEducation,eaneimprinteofe TheeMcGraw-
HilleCompanies,eInc.,e1221e Avenueeofethee Americas,eNeweYork,eNYe10020.eCopyrighte©eTheeMcGraw-
HilleCompanies,eInc.,e2002,e1986,e1975,e1968.e Allerightsereserved.
Theecontents,eorepartsethereof,emayebeereproducedeineprinteformesolelyeforeclassroomeuseewithe COMMUNICATIONeSYSTEMS:e
ANeINTRODUCTIONeTOeSIGNALSeANDeNOISEeINeELEeCTRICALe COMMUNICATION,eprovidede such e reproductionse beare copyrig
htenotice,e butemayenote beereproducedeineanyeothereformeoreforeanyeotherepurposeewithoutethee priorewritteneconsente ofe TheeM
cGraw-
Hille Companies,eInc.,eincluding,e butenotelimitedeto,eineanyenetworke oreothereelectronicestoragee oretransmission,eorebroadcastefo
redistancee learning.
www.mhhe.com
,Chaptere2
2.1-1
Ae j T0e/2e Aeej ne m
cne
f
∫ee j2pe (em ne)fe 0te
ejf
e
dte A
sinc(me en)e
f
T0 0 otherwise
eT0e /
2e
2.1-2
c0 e v(t)e =0T0e/e4e 2pent T0e /2 e 2pente 2 A e pen
2e e
c Acose dt ( eA)cose dte sine
e
n
T0ee T T pen 2
Tee / 4 e
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2eAe/e 0 2eAe/e3p 0 2eAe/e5p 0 2eAe/e7p
p
argec 0 180 0 180
n
2.1-3
c0 e =e v(t)e =A e/ 2 e
2
ce e T e/2e 0 2eAte 2pent A A
Ae os c
n
T 0 0 dte sinpene e (cospene 1)
0 T0 T pene (pen)2e
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argec 0 0 0 0
n
2.1-4
2-
1
, 2 2pete
cee e
T0e /2 e
Acos (cont.)
0 e
Tee T
0
0
0 0
2-
2
