Solutions Manual
to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition
A. Bruce Carlson
w w
RensselaerwPolytechnicwInstitute
Paul B. Crilly
w w
UniversitywofwTennessee
Janet C. Rutledge
w w
UniversitywofwMarylandwatwBaltimore
,SolutionswManualwtowaccompany
COMMUNICATIONwSYSTEMS:wANwINTRODUCTIONwTOwSIGNALSwANDwNOISEwINwELECTRICALwCOMMUNICATION,wFOURT
HwEDITION
A.wBRUCEwCARLSON,wPAULwB.wCRILLY,wANDwJANETwC.wRUTLEDGE
PublishedwbywMcGraw-HillwHigherwEducation,wanwimprintwofwThewMcGraw-
HillwCompanies,wInc.,w1221wAvenuewofwthewAmericas,wNewwYork,wNYw10020.wCopyrightw©wThewMcGraw-
HillwCompanies,wInc.,w2002,w1986,w1975,w1968.w Allwrightswreserved.
Thewcontents,worwpartswthereof,wmaywbewreproducedwinwprintwformwsolelywforwclassroomwusewwithwCOMMUNICATIONwSY
STEMS:wANwINTRODUCTIONwTOwSIGNALSwANDwNOISEwINwELEwCTRICALwCOMMUNICATION,wprovidedw suchw reproductions
w bearw copyrightwnotice,wbutwmaywnotwbewreproducedwinwanywotherwformworwforwanywotherwpurposewwithoutwthewpriorww
rittenwconsentwofwThewMcGraw-
HillwCompanies,wInc.,wincluding,wbutwnotwlimitedwto,winwanywnetworkworwotherwelectronicwstorageworwtransmission,worwbro
adcastwforwdistancewlearning.
www.mhhe.com
,Chapterw2
2.1-1
Ae j T0/2w Aewj nw m
∫eAe
w
f f
cnw w
j2pw (wm nw)fw 0tw
dtw
jf
w sinc(mw wn)w
T0 0 otherwise
wT0w /
2w
2.1-2
c0w v(t)w 0
2w w 0w Acosw2pwnt 2pwntw 2 A w pwn
T /w4w T0w /2 w
c dtw A)cosw
w dtw sinw
n
T
0 ww T T
T pwn 2
ww/ 4w
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2wAw/w 0 2wAw/w3 0 2wAw/w5 0 2wAw/w7p
p p p
argwc 0 0
n
2.1-3
c0w w v(t)w A w/2 w
2
cw w T w/2w 2wAtw 0 2pwnt A A
Aw co
T0 s
n
T 0
0 dtw sinpwnw w (cospwnw
0
T pwnw (pwn)2w
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argwc 0 0 0 0
n
2.1-4
2-1
, 2 2pwtw
cww w
T0w /2 w
Acosw (cont.)
Tww T
0
0
0 0
2-2
to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition
A. Bruce Carlson
w w
RensselaerwPolytechnicwInstitute
Paul B. Crilly
w w
UniversitywofwTennessee
Janet C. Rutledge
w w
UniversitywofwMarylandwatwBaltimore
,SolutionswManualwtowaccompany
COMMUNICATIONwSYSTEMS:wANwINTRODUCTIONwTOwSIGNALSwANDwNOISEwINwELECTRICALwCOMMUNICATION,wFOURT
HwEDITION
A.wBRUCEwCARLSON,wPAULwB.wCRILLY,wANDwJANETwC.wRUTLEDGE
PublishedwbywMcGraw-HillwHigherwEducation,wanwimprintwofwThewMcGraw-
HillwCompanies,wInc.,w1221wAvenuewofwthewAmericas,wNewwYork,wNYw10020.wCopyrightw©wThewMcGraw-
HillwCompanies,wInc.,w2002,w1986,w1975,w1968.w Allwrightswreserved.
Thewcontents,worwpartswthereof,wmaywbewreproducedwinwprintwformwsolelywforwclassroomwusewwithwCOMMUNICATIONwSY
STEMS:wANwINTRODUCTIONwTOwSIGNALSwANDwNOISEwINwELEwCTRICALwCOMMUNICATION,wprovidedw suchw reproductions
w bearw copyrightwnotice,wbutwmaywnotwbewreproducedwinwanywotherwformworwforwanywotherwpurposewwithoutwthewpriorww
rittenwconsentwofwThewMcGraw-
HillwCompanies,wInc.,wincluding,wbutwnotwlimitedwto,winwanywnetworkworwotherwelectronicwstorageworwtransmission,worwbro
adcastwforwdistancewlearning.
www.mhhe.com
,Chapterw2
2.1-1
Ae j T0/2w Aewj nw m
∫eAe
w
f f
cnw w
j2pw (wm nw)fw 0tw
dtw
jf
w sinc(mw wn)w
T0 0 otherwise
wT0w /
2w
2.1-2
c0w v(t)w 0
2w w 0w Acosw2pwnt 2pwntw 2 A w pwn
T /w4w T0w /2 w
c dtw A)cosw
w dtw sinw
n
T
0 ww T T
T pwn 2
ww/ 4w
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2wAw/w 0 2wAw/w3 0 2wAw/w5 0 2wAw/w7p
p p p
argwc 0 0
n
2.1-3
c0w w v(t)w A w/2 w
2
cw w T w/2w 2wAtw 0 2pwnt A A
Aw co
T0 s
n
T 0
0 dtw sinpwnw w (cospwnw
0
T pwnw (pwn)2w
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argwc 0 0 0 0
n
2.1-4
2-1
, 2 2pwtw
cww w
T0w /2 w
Acosw (cont.)
Tww T
0
0
0 0
2-2
