Solutions Manual
to accompany
Communication
Systems
An Introduction to Signals and Noise in
Electrical Communication
Fourth Edition
A.00Bruce00Carlson
Rensselaer00Polytechnic00Institute
Paul00 B.00 Crilly
University00of00Tennessee
Janet00C.00Rutledge
University00of00Maryland00at00Baltimore
,Solutions00Manual00to00accompany
COMMUNICATION00SYSTEMS:00AN00INTRODUCTION00TO00SIGNALS00AND00NOISE00IN00ELECTRICAL00COMMUNI
CATION,00FOURTH00EDITION
A.00BRUCE00CARLSON,00PAUL00B.00CRILLY,00AND00JANET00C.00RUTLEDGE
Published00by00McGraw-Hill00Higher00Education,00an00imprint00of00The00McGraw-
Hill00Companies,00Inc.,00122100Avenue00of00the00Americas,00New00York,00NY0010020.00Copyright00©00The00McGr
aw-Hill00Companies,00Inc.,002002,001986,001975,001968.0 0 All00rights00reserved.
The00contents,00or00parts00thereof,00may00be00reproduced00in00print00form00solely00for00classroom00use00with00COMMUNIC
ATION00SYSTEMS:00AN00INTRODUCTION00TO00SIGNALS00AND00NOISE00IN00ELE00CTRICAL00COMMUNICATION,00pr
ovided00such00reproductions00bear00copyright00notice,00but00may00not00be00reproduced00in00any00other00form00or00for00any00
other00purpose00without00the00prior00written00consent00of00The00McGraw-
Hill00Companies,00Inc.,00including,00but00not00limited00to,00in00any00network00or00other00electronic00storage00or00transmission
,00or00broadcast00for00distance00learning.
www.mhhe.com
,Chapter002
2.1-1
Ae jf Ae00 n00m
cn0 0 T0/20
00
edt000 0 Ae00
j2p00 (00mn00)f00 0t00 jf
jf
sinc(m0000n)00
T0
00T00
0 otherwise
0 /200
2.1-2
0
c00 0 v(t)0T0000 /0040 0 2p00 T000 /2 00 2p00nt00 2A 00 p00n
c020 nt dt00
00 dt00 Acos00 (00A)cos00 sin00
T000 000
n
0
T
T
T p00n 2
0 0/ 400
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 200A00/0 0 200A00/003 0 200A00/005 0 200A00/007
0p p p p
arg00c 0 180 0 180
n
2.1-3
c00 0 0 0 v(t)0 0 A 00/2 00
c020 T 00/2 200At0 2p00nt A A
00 0
0
00
T
n
A00 cos 0 dt00 sinp00n0000
(cosp00n001)
T0
0
0
T p00n00 (p00n)20 0
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg00c 0 0 0 0
n
2.1-4
2-1
, 2
0 0 0 00
c0t000 T000 /2 0 0 2p0 (cont.)
0 Acos00
T0000
0
0 T
0 0
2-2
to accompany
Communication
Systems
An Introduction to Signals and Noise in
Electrical Communication
Fourth Edition
A.00Bruce00Carlson
Rensselaer00Polytechnic00Institute
Paul00 B.00 Crilly
University00of00Tennessee
Janet00C.00Rutledge
University00of00Maryland00at00Baltimore
,Solutions00Manual00to00accompany
COMMUNICATION00SYSTEMS:00AN00INTRODUCTION00TO00SIGNALS00AND00NOISE00IN00ELECTRICAL00COMMUNI
CATION,00FOURTH00EDITION
A.00BRUCE00CARLSON,00PAUL00B.00CRILLY,00AND00JANET00C.00RUTLEDGE
Published00by00McGraw-Hill00Higher00Education,00an00imprint00of00The00McGraw-
Hill00Companies,00Inc.,00122100Avenue00of00the00Americas,00New00York,00NY0010020.00Copyright00©00The00McGr
aw-Hill00Companies,00Inc.,002002,001986,001975,001968.0 0 All00rights00reserved.
The00contents,00or00parts00thereof,00may00be00reproduced00in00print00form00solely00for00classroom00use00with00COMMUNIC
ATION00SYSTEMS:00AN00INTRODUCTION00TO00SIGNALS00AND00NOISE00IN00ELE00CTRICAL00COMMUNICATION,00pr
ovided00such00reproductions00bear00copyright00notice,00but00may00not00be00reproduced00in00any00other00form00or00for00any00
other00purpose00without00the00prior00written00consent00of00The00McGraw-
Hill00Companies,00Inc.,00including,00but00not00limited00to,00in00any00network00or00other00electronic00storage00or00transmission
,00or00broadcast00for00distance00learning.
www.mhhe.com
,Chapter002
2.1-1
Ae jf Ae00 n00m
cn0 0 T0/20
00
edt000 0 Ae00
j2p00 (00mn00)f00 0t00 jf
jf
sinc(m0000n)00
T0
00T00
0 otherwise
0 /200
2.1-2
0
c00 0 v(t)0T0000 /0040 0 2p00 T000 /2 00 2p00nt00 2A 00 p00n
c020 nt dt00
00 dt00 Acos00 (00A)cos00 sin00
T000 000
n
0
T
T
T p00n 2
0 0/ 400
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 200A00/0 0 200A00/003 0 200A00/005 0 200A00/007
0p p p p
arg00c 0 180 0 180
n
2.1-3
c00 0 0 0 v(t)0 0 A 00/2 00
c020 T 00/2 200At0 2p00nt A A
00 0
0
00
T
n
A00 cos 0 dt00 sinp00n0000
(cosp00n001)
T0
0
0
T p00n00 (p00n)20 0
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg00c 0 0 0 0
n
2.1-4
2-1
, 2
0 0 0 00
c0t000 T000 /2 0 0 2p0 (cont.)
0 Acos00
T0000
0
0 T
0 0
2-2