Solutions,Manual
to, accompany
Communication,,Systems
An,Introduction,to,Signals,and,
Noise ,in,Electrical,Communication
Fourth, Edition
A.,Bruce,Carlson
Rensselaer,Polytechnic,Institute
Paul, B., Crilly
University,of,Tennessee
Janet,C.,Rutledge
University,of,Maryland,at,Baltimore
,Solutions,Manual,to,accompany
COMMUNICATION,SYSTEMS:,AN,INTRODUCTION,TO,SIGNALS,AND,NOISE,IN,ELECTRICAL,COMMUNICATION,,FOURTH,EDI
TION
A.,BRUCE,CARLSON,,PAUL,B.,CRILLY,,AND,JANET,C.,RUTLEDGE
Published,by,McGraw-Hill,Higher,Education,,an,imprint,of,The,McGraw-
Hill,Companies,,Inc.,,1221,Avenue,of,the,Americas,,New,York,,NY,10020.,Copyright,©,The,McGraw-
Hill,Companies,,Inc.,,2002,,1986,,1975,,1968., All,rights,reserved.
The,contents,,or,parts,thereof,,may,be,reproduced,in,print,form,solely,for,classroom,use,with,COMMUNICATION,SYSTEMS:,
AN,INTRODUCTION,TO,SIGNALS,AND,NOISE,IN,ELE,CTRICAL, COMMUNICATION,,provided, such, reproductions, bear, copyrig
ht,notice,,but,may,not,be,reproduced,in,any,other,form,or,for,any,other,purpose,without,the,prior,written,consent,of,The,M
cGraw-
Hill,Companies,,Inc.,,including,,but,not,limited,to,,in,any,network,or,other,electronic,storage,or,transmission,,or,broadcast,fo
r,distance,learning.
www.mhhe.com
,Chapter,2
2.1-1
Ae j Ae n, m
f T0/2 , ,jf
cn, ∫e,Ae, , , , , , dt,
j2p ( m n )f 0t
jf sinc(m, ,n),
T0 0 otherwise
,T0, /
2 ,
2.1-2
T0,/,4,
c0,v(t),0 2p,nt , ,
T0 /2 2p,nt, 2 A, p,n
2
c, , Acos, dt ( ,A)cos, dt, sin,
,
n
0 T,, T T p,n 2
,, ,
T /4
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2,A,/,p 0 2,A,/,3p 0 2,A,/,5p 0 2,A,/,7p
arg,c 0 180 0 18
n 0
2.1-3
c0, , v(t), A,/2,
2
c, , T ,/2, 2,At,
0 2p,nt A A
n
A, cos
T dt, sinp,n, , (cosp,n, 1)
(p,n)2,
0 0
0 T0 T p,n,
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg,c 0 0 0 0
n
2.1-4
2-1
, 2
c,, , T0,/2 , Acos, 2p,t, (cont.)
0
T,, T
0
0
0 0
2-2
to, accompany
Communication,,Systems
An,Introduction,to,Signals,and,
Noise ,in,Electrical,Communication
Fourth, Edition
A.,Bruce,Carlson
Rensselaer,Polytechnic,Institute
Paul, B., Crilly
University,of,Tennessee
Janet,C.,Rutledge
University,of,Maryland,at,Baltimore
,Solutions,Manual,to,accompany
COMMUNICATION,SYSTEMS:,AN,INTRODUCTION,TO,SIGNALS,AND,NOISE,IN,ELECTRICAL,COMMUNICATION,,FOURTH,EDI
TION
A.,BRUCE,CARLSON,,PAUL,B.,CRILLY,,AND,JANET,C.,RUTLEDGE
Published,by,McGraw-Hill,Higher,Education,,an,imprint,of,The,McGraw-
Hill,Companies,,Inc.,,1221,Avenue,of,the,Americas,,New,York,,NY,10020.,Copyright,©,The,McGraw-
Hill,Companies,,Inc.,,2002,,1986,,1975,,1968., All,rights,reserved.
The,contents,,or,parts,thereof,,may,be,reproduced,in,print,form,solely,for,classroom,use,with,COMMUNICATION,SYSTEMS:,
AN,INTRODUCTION,TO,SIGNALS,AND,NOISE,IN,ELE,CTRICAL, COMMUNICATION,,provided, such, reproductions, bear, copyrig
ht,notice,,but,may,not,be,reproduced,in,any,other,form,or,for,any,other,purpose,without,the,prior,written,consent,of,The,M
cGraw-
Hill,Companies,,Inc.,,including,,but,not,limited,to,,in,any,network,or,other,electronic,storage,or,transmission,,or,broadcast,fo
r,distance,learning.
www.mhhe.com
,Chapter,2
2.1-1
Ae j Ae n, m
f T0/2 , ,jf
cn, ∫e,Ae, , , , , , dt,
j2p ( m n )f 0t
jf sinc(m, ,n),
T0 0 otherwise
,T0, /
2 ,
2.1-2
T0,/,4,
c0,v(t),0 2p,nt , ,
T0 /2 2p,nt, 2 A, p,n
2
c, , Acos, dt ( ,A)cos, dt, sin,
,
n
0 T,, T T p,n 2
,, ,
T /4
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2,A,/,p 0 2,A,/,3p 0 2,A,/,5p 0 2,A,/,7p
arg,c 0 180 0 18
n 0
2.1-3
c0, , v(t), A,/2,
2
c, , T ,/2, 2,At,
0 2p,nt A A
n
A, cos
T dt, sinp,n, , (cosp,n, 1)
(p,n)2,
0 0
0 T0 T p,n,
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg,c 0 0 0 0
n
2.1-4
2-1
, 2
c,, , T0,/2 , Acos, 2p,t, (cont.)
0
T,, T
0
0
0 0
2-2