Carlson Communication Systems 4th Edition Solutions Manual – Signals and Noise

Solutions Manual k




to accompanyk




Communication
Systems
k




An Introduction to Signals and Noise in El
k k k k k k k




ectrical Communication
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,
kFOURTHkEDITION

A.kBRUCEkCARLSON,kPAULkB.kCRILLY,kANDkJANETkC.kRUTLEDGE

PublishedkbykMcGraw-HillkHigherkEducation,kankimprintkofkThekMcGraw-
HillkCompanies,kInc.,k1221kAvenuekofkthekAmericas,kNewkYork,kNYk 10020.k Copyrightk©kThekMcGraw-
HillkCompanies,kInc.,k2002,k1986,k1975,k1968.kAllkrightskreserved.

Thekcontents,korkpartskthereof,kmaykbekreproducedkinkprintkformksolelykforkclassroomkusekwithk COMMUNICATIONkSYSTEMS:kAN
kINTRODUCTIONkTOkSIGNALSkANDkNOISEkINkELEkCTRICALkCOMMUNICATION,kprovidedksuchkreproductionskbearkcopyright

knotice,kbutkmayknotkbekreproducedkinkanykotherkformkorkforkanykotherkpurposekwithoutkthekpriorkwrittenkconsentkofkThekMcGraw-

Hillk Companies,kInc.,kincluding,kbutknotklimitedkto,kinkanyknetworkkorkotherkelectronickstoragekorktransmission,korkbroadcastkforkdista
ncek learning.

www.mhhe.com

,Chapterk2

2.1-1  
jϕ  Ae jϕ
nkm
cnkAe
 ekj2πk(kmnk)fk tkdtkAekjϕ sinc(mkn)k
T
0k /k
k
0
2k
T0
T0k /2
0 otherwise
k



2.1-2




2k Tk0k0
c0k v(t) /k4k 2πnt T0k/2 k 2πntk 2Ak πn
ck  dtkk dtk sink
k
Acosk (A)cosk
Tk T T πn 2
n


0
T
k k / k4


k
0
0 0 0


n 0 1 2 3 4 5 6 7
cn 0 2kAk/kπ 0 2kAk/k3π 0 2kAk/k5π 0 2kAk/k7π
argkcn 0 180 0 180


2.1-3




2
ck  T k /2k  2kAtk 2πnt A A

0

k k k
  2k (cosπknk1)
n
Tk 0 A cos k dt sinπn
T T πn
0  0k  0 (πkn)




n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argkcn 0 0 0 0


2.1-4




2 T0k/2 k 2πktk
ck  Acosk 0 (cont.)
2-1

, Tk
0
0 T
0 0




2-2