Solutions Manual k
to accompany
k
CommunicationSystems k
An Introduction to Signals and Noise
k k k k k
inElectrical Communication
k k k
Fourth Edition k
A. Bruce Carlson
k k
Rensselaer Polytechnic Institute
k k
Paul B. Crilly k k
University of Tennessee k k
Janet C. Rutledge k k
University of Maryland at Baltimore
k k k k
,SolutionskManualktokaccompany
COMMUNICATIONkSYSTEMS:kANkINTRODUCTIONkTOkSIGNALSkANDkNOISEkINkELECTRICALkCOMMUNICATION,kFOURTHkEDI
TION
A.kBRUCEkCARLSON,kPAULkB.kCRILLY,kANDkJANETkC.kRUTLEDGE
PublishedkbykMcGraw-HillkHigherkEducation,kankimprintkofkThekMcGraw-
HillkCompanies,kInc.,k1221kAvenuekofkthekAmericas,kNewkYork,kNYk10020.kCopyrightk©kThekMcGraw-
HillkCompanies,kInc.,k2002,k1986,k1975,k1968.k Allkrightskreserved.
Thekcontents,korkpartskthereof,kmaykbekreproducedkinkprintkformksolelykforkclassroomkusekwithkCOMMUNICATIONkSYSTEMS:k
ANkINTRODUCTIONkTOkSIGNALSkANDkNOISEkINkELEkCTRICALk COMMUNICATION,kprovidedk suchk reproductionsk beark copyrigh
tknotice,kbutkmayknotkbekreproducedkinkanykotherkformkorkforkanykotherkpurposekwithoutkthekpriorkwrittenkconsentkofkThekMc
Graw-
HillkCompanies,kInc.,kincluding,kbutknotklimitedkto,kinkanyknetworkkorkotherkelectronickstoragekorktransmission,korkbroadcastkfor
kdistanceklearning.
www.mhhe.com
,Chapterk2
2.1-1
Ae j T0k/2k Ae nk m
cnk
f
∫eAekj2pkjfk( m k nk)fk 0tk
dtk
sinc(mk n)
k
k
k
jf
T0 0 otherwise
kT0k /
2k
2.1-2
c0k v(t)k 0
T0k/k4k 2pknt T0k /2 k 2pkntk 2 A k pkn
2
ck k Acosk dt ( A)cos
k k dtk sink
k
n
0 Tkk T T pkn 2
Tkk/ 4k
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2kAk/kp 0 2kAk/k3p 0 2kAk/k5p 0 2kAk/k7p
argkc 0 180 0 18
n 0
2.1-3
c0k k v(t)k A k/2 k
2k k T k/2k
c 0 2kAtk 2pknt A A
n
Ak cos
T 0 0 dtk sinpknk k (cospknk 1)
0 T0 T pknk (pkn)2k
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argkc 0 0 0 0
n
2.1-4
2-1
, 2 2pktk
ckk k
T0k /2 k
Acos (cont.)
0 k
Tkk T
0
0
0 0
2-2
to accompany
k
CommunicationSystems k
An Introduction to Signals and Noise
k k k k k
inElectrical Communication
k k k
Fourth Edition k
A. Bruce Carlson
k k
Rensselaer Polytechnic Institute
k k
Paul B. Crilly k k
University of Tennessee k k
Janet C. Rutledge k k
University of Maryland at Baltimore
k k k k
,SolutionskManualktokaccompany
COMMUNICATIONkSYSTEMS:kANkINTRODUCTIONkTOkSIGNALSkANDkNOISEkINkELECTRICALkCOMMUNICATION,kFOURTHkEDI
TION
A.kBRUCEkCARLSON,kPAULkB.kCRILLY,kANDkJANETkC.kRUTLEDGE
PublishedkbykMcGraw-HillkHigherkEducation,kankimprintkofkThekMcGraw-
HillkCompanies,kInc.,k1221kAvenuekofkthekAmericas,kNewkYork,kNYk10020.kCopyrightk©kThekMcGraw-
HillkCompanies,kInc.,k2002,k1986,k1975,k1968.k Allkrightskreserved.
Thekcontents,korkpartskthereof,kmaykbekreproducedkinkprintkformksolelykforkclassroomkusekwithkCOMMUNICATIONkSYSTEMS:k
ANkINTRODUCTIONkTOkSIGNALSkANDkNOISEkINkELEkCTRICALk COMMUNICATION,kprovidedk suchk reproductionsk beark copyrigh
tknotice,kbutkmayknotkbekreproducedkinkanykotherkformkorkforkanykotherkpurposekwithoutkthekpriorkwrittenkconsentkofkThekMc
Graw-
HillkCompanies,kInc.,kincluding,kbutknotklimitedkto,kinkanyknetworkkorkotherkelectronickstoragekorktransmission,korkbroadcastkfor
kdistanceklearning.
www.mhhe.com
,Chapterk2
2.1-1
Ae j T0k/2k Ae nk m
cnk
f
∫eAekj2pkjfk( m k nk)fk 0tk
dtk
sinc(mk n)
k
k
k
jf
T0 0 otherwise
kT0k /
2k
2.1-2
c0k v(t)k 0
T0k/k4k 2pknt T0k /2 k 2pkntk 2 A k pkn
2
ck k Acosk dt ( A)cos
k k dtk sink
k
n
0 Tkk T T pkn 2
Tkk/ 4k
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2kAk/kp 0 2kAk/k3p 0 2kAk/k5p 0 2kAk/k7p
argkc 0 180 0 18
n 0
2.1-3
c0k k v(t)k A k/2 k
2k k T k/2k
c 0 2kAtk 2pknt A A
n
Ak cos
T 0 0 dtk sinpknk k (cospknk 1)
0 T0 T pknk (pkn)2k
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argkc 0 0 0 0
n
2.1-4
2-1
, 2 2pktk
ckk k
T0k /2 k
Acos (cont.)
0 k
Tkk T
0
0
0 0
2-2
