Solutions Manual r
to accompany
r
CommunicationSystems r
An Introduction toSignals andNoise
r r r r r
inElectrical Communication
r r r
Fourth Edition r
A. Bruce Carlson
r r
Rensselaer Polytechnic Institute
r r
Paul B. Crilly r r
University of Tennessee r r
Janet C. Rutledge r r
University of Maryland at Baltimore
r r r r
,Solutions rManual rto raccompany
COMMUNICATION rSYSTEMS: rAN rINTRODUCTION rTO rSIGNALS rAND rNOISE rIN rELECTRICAL rCOMMUNICATION,rFOURTH
rEDITION
A. rBRUCE rCARLSON, rPAUL rB. rCRILLY, rAND rJANET rC. rRUTLEDGE
Published rby rMcGraw-Hill rHigher rEducation, ran rimprint rof rThe rMcGraw-Hill rCompanies, rInc., r1221 rAvenue rof
rthe rAmericas,rNew rYork, rNY r10020. r Copyright r© rThe rMcGraw-Hill rCompanies, rInc., r2002, r1986, r1975, r1968. r All
rrights rreserved.
The rcontents, ror rparts rthereof, rmay rbe rreproduced rin rprint rform rsolely rfor rclassroom ruse rwith rCOMMUNICATION
rSYSTEMS: rAN rINTRODUCTION rTO rSIGNALS rAND rNOISE rIN rELErCTRICAL r COMMUNICATION, rprovided r such r reproductions
r bear r copyrightrnotice, rbut rmay rnot rbe rreproduced rin rany rother rform ror rfor rany rother rpurpose rwithout rthe rprior rwritten
rconsent rof rThe rMcGraw-Hill rCompanies, rInc., rincluding, rbut rnot rlimited rto, rin rany rnetwork ror rother relectronic rstorage ror
rtransmission, ror rbroadcast rfor rdistance rlearning.
www.mhhe.com
,Chapter r2
2.1-1
Ae j T0/2rr Ae nr m
cn r
f
∫er rj2pAe
r ( m n r)f r t r
r
jf dt
r 0
sinc(mr rn) r
jf
r
T0 rT0
0 otherwise
r /2 r
2.1-2
c0 r v(t) r 0
T0 r/ r4 r 2p T0 r /2 r 2p rnt r 2 A r p rn
c2 r rnt Acos r A)cos dt r sin r
r dt r r r
n
r0 Tr T T p rn 2
T r r/ 4
r
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2rAr/rp 0 2rAr/r3p 0 2rAr/r5p 0 2rAr/ r7p
argrcn 0 0
2.1-3
c0 r r v(t) r A r/2 r
c2 r
r
T r/2
r
2rAt
0
r
2p rnt A A
n
A cos
T r 0 0 dt r sinp rn r r (cosp rn r
0 T0 T p rn r (p rn)2 r
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argrcn 0 0 0 0
2.1-4
2-1
, 2 T0 r/2 r 2p rt
cr r
r r Acos r (cont.)
Trr T
0
0
0 0
2-2
to accompany
r
CommunicationSystems r
An Introduction toSignals andNoise
r r r r r
inElectrical Communication
r r r
Fourth Edition r
A. Bruce Carlson
r r
Rensselaer Polytechnic Institute
r r
Paul B. Crilly r r
University of Tennessee r r
Janet C. Rutledge r r
University of Maryland at Baltimore
r r r r
,Solutions rManual rto raccompany
COMMUNICATION rSYSTEMS: rAN rINTRODUCTION rTO rSIGNALS rAND rNOISE rIN rELECTRICAL rCOMMUNICATION,rFOURTH
rEDITION
A. rBRUCE rCARLSON, rPAUL rB. rCRILLY, rAND rJANET rC. rRUTLEDGE
Published rby rMcGraw-Hill rHigher rEducation, ran rimprint rof rThe rMcGraw-Hill rCompanies, rInc., r1221 rAvenue rof
rthe rAmericas,rNew rYork, rNY r10020. r Copyright r© rThe rMcGraw-Hill rCompanies, rInc., r2002, r1986, r1975, r1968. r All
rrights rreserved.
The rcontents, ror rparts rthereof, rmay rbe rreproduced rin rprint rform rsolely rfor rclassroom ruse rwith rCOMMUNICATION
rSYSTEMS: rAN rINTRODUCTION rTO rSIGNALS rAND rNOISE rIN rELErCTRICAL r COMMUNICATION, rprovided r such r reproductions
r bear r copyrightrnotice, rbut rmay rnot rbe rreproduced rin rany rother rform ror rfor rany rother rpurpose rwithout rthe rprior rwritten
rconsent rof rThe rMcGraw-Hill rCompanies, rInc., rincluding, rbut rnot rlimited rto, rin rany rnetwork ror rother relectronic rstorage ror
rtransmission, ror rbroadcast rfor rdistance rlearning.
www.mhhe.com
,Chapter r2
2.1-1
Ae j T0/2rr Ae nr m
cn r
f
∫er rj2pAe
r ( m n r)f r t r
r
jf dt
r 0
sinc(mr rn) r
jf
r
T0 rT0
0 otherwise
r /2 r
2.1-2
c0 r v(t) r 0
T0 r/ r4 r 2p T0 r /2 r 2p rnt r 2 A r p rn
c2 r rnt Acos r A)cos dt r sin r
r dt r r r
n
r0 Tr T T p rn 2
T r r/ 4
r
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2rAr/rp 0 2rAr/r3p 0 2rAr/r5p 0 2rAr/ r7p
argrcn 0 0
2.1-3
c0 r r v(t) r A r/2 r
c2 r
r
T r/2
r
2rAt
0
r
2p rnt A A
n
A cos
T r 0 0 dt r sinp rn r r (cosp rn r
0 T0 T p rn r (p rn)2 r
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argrcn 0 0 0 0
2.1-4
2-1
, 2 T0 r/2 r 2p rt
cr r
r r Acos r (cont.)
Trr T
0
0
0 0
2-2
