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Solutions Manual for Solutions Manual An Introduction to Signals and Noise in Electrical Communication, 4th Edition
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  • Accompany Communication System 4th Ed

Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition Solutions Manual for Communication Systems: An Introd...

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  • October 12, 2024
  • 302
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • Accompany Communication System 4th Ed
  • Accompany Communication System 4th Ed

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Solutions Manual
to accompany
Communication
Systems
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:eANeINTRODUCTIONeTO eSIGNALSeANDeNOISEeINeELECTRICALeCOMMUNICATION, eFOURT
H eEDITION
A.eBRUCEeCARLSON, ePAULeB.eCRILLY,eAND eJANETeC.eRUTLEDGE

PublishedebyeMcGraw-HilleHighereEducation,eaneimprinteofeTheeMcGraw-
HilleCompanies,eInc.,e1221eAvenueeofetheeAmericas,eNeweYork,eNYe10020.eCopyrighte©eTheeMcGraw-
HilleCompanies,eInc.,e2002,e1986,e1975,e1968.e Allerightsereserved.

Theecontents,eorepartsethereof,emayebeereproducedeineprinteformesolelyeforeclassroomeuseewitheCOMMUNICATIONeSYSTEMS:eAN eINT
RODUCTIONeTOeSIGNALSeANDeNOISE eINeELEeCTRICALe COMMUNICATION, eprovidedesuchereproductionsebearecopyrightenotice,e
butemayenotebeereproducedeineanyeothereformeoreforeanyeotherepurposeewithoutetheepriorewritteneconsenteofeTheeMcGraw-
HilleCompanies,eInc.,eincluding,ebutenotelimitedeto,eineanyenetworkeoreothereelectronicestorageeoretransmission,eorebroadcasteforedistanceele
arning.

www.mhhe.com

,Chaptere2

2.1-1
jf Aeejf ne=m
cne = Ae jf sinc(me−en)e=
+
T0e/2e
e e
j2pe(em−ne)fe te
dt
0
e =Aee 
−eT0e /2e
T0 0 otherwise

2.1-2




2 e =0T0e/e4e
c0 e v(t) 2pent T0e /2 e 2pente 2A e pen
ce =e Acose dte+ (−eA)cose dte = sine

T0ee 
n
0 T Tee/ 4e
0
T pen 2
0 0


n 0 1 2 3 4 5 6 7
cn 0 2eAe/ep 0 2eAe/e3p 0 2eAe/e5p 0 2eAe/e7p
argecn 0 180 0 180


2.1-3




c0 e =e v(t)e =A e/ 2 e
2
ce =e 2eAte 2pent A A

T e/2e 0




T0 
 A − cos
dte = sinpene−e (cospene−1)
e
n 0
 T0 
T0 pene (pen)2e
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argecn 0 0 0 0


2.1-4




2 T0e/2 e 2pete
cee =e Acose =0 (cont.)
T
0
ee
0 T
0 0




2-1

, 2eee Te0/2 e 2eAesine(pe −pen ) 2te/eT
2pt 2pent sine(p +pen)e2te/eT T0e/ 2e
cn e =  Acos cos dte=  
0e
+ 0e

T0e e e 0 T0 T0 T0e  4(pe −pen)e/eT0 4(p +epen) /eT0 0
= sinc(1e−en)e+esinc(1e+en) Ae/e2
eAe
ne=1
=e
2 0 otherwise

2.1-5




c0e =e v(t)
2 e =0T0e /2 e 2pent Ae
ce =−eje Asine dte =−eje (1−ecospen)
Tee 
n 0 T pen
0 0


n 1 2 3 4 5
cn 2eAe/ep 0 2eAe/e3p 2eAe/e5p
argecn −90 −90 −90

2.1-6




c0e =e v(t) e =0
2eAesine(pe −pen ) 2te/eT0 ee sine(p +pen )e2te/eTee
e2
T0ee/ 2e
ce =−ej T e / 2e 2p te 2pente
dte =−eje −e
0
Asine sine ee 
n
T0ee0
T T T 4(pe −pen)/ eT 4(p +pen)/ eT 0
0 0
0 0 0
0ee 
mejAe/e2 ne=1
=−eje sinc(1−ne)e−esinc(1+en) =
eAe




2  0 otherwise

2.1-71
ce =e eT0e /2 e − jnw0et
T0
− jnwe0t

n

T0ee0 v(t)ee dte+e
Teee
v(t)e dte
T0e/2 e


−ejnwe le −e jnwe T e/2e
v(t)e −ejnw0etedte v(l + T0 /2)ee
0eeeeee
where e 0 0 0
dl
=
T 0
Tee/e
0
T0e /2e
=−ee jnpeeeee v(te)e−ejnw0etedt
2

0

since eejnpe =1e foreevenen, cnee =0e foreevenen



2-2

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