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 EDITION
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 aIN aELE aCTRICAL aCOMMUNICATION, aprovided asuch areproductions abear
acopyrightanotice, abut amay anot abe areproduced ain aany aother aform aor afor aany aother apurpose awithout athe aprior awritten
aconsent aof aThe aMcGraw-Hill aCompanies, aInc., aincluding, abut anot alimited ato, ain aany anetwork aor aother aelectronic astorage
aor atransmission, aor abroadcast afor adistance alearning.
www.mhhe.com
,Chapter a2
2.1-1
Ae jf Ae n am
cn a T0/2aa
ea Ae
j2p a ( amn a)f a 0t a jf
a jf dt a
a sinc(m a an) a
aT0
T0 0 otherwise
a /2 a
2.1-2
c0 v(t) 0 T0 a/ a4 a 2p T0 a /2 a 2p ant a 2A a p an
c2 a ant Acos a ( aA)cos a dt a sin a
a dt a
n
0 T a
T
a/ 4 a
a
T T p an 2
a 0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2 aAa/ 0 2aAa/ a3p 0 2aAa/ a5p 0 2aAa/ a7p
ap
argacn 0 180 0 180
2.1-3
c0 v(t) A /2
c2 a T a/2 2aAt 2p ant A A
a a
0
a
T
n
A a cos 0 dt a sinp an a a
(cosp an a1)
0
0
T0 T p an a (p an)2 a
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argacn 0 0 0 0
2.1-4
ac a a a
2 T0 a/2 a 2p at
0 Acos a (cont.)
2-1
, T a a
0
0 T
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 EDITION
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 aIN aELE aCTRICAL aCOMMUNICATION, aprovided asuch areproductions abear
acopyrightanotice, abut amay anot abe areproduced ain aany aother aform aor afor aany aother apurpose awithout athe aprior awritten
aconsent aof aThe aMcGraw-Hill aCompanies, aInc., aincluding, abut anot alimited ato, ain aany anetwork aor aother aelectronic astorage
aor atransmission, aor abroadcast afor adistance alearning.
www.mhhe.com
,Chapter a2
2.1-1
Ae jf Ae n am
cn a T0/2aa
ea Ae
j2p a ( amn a)f a 0t a jf
a jf dt a
a sinc(m a an) a
aT0
T0 0 otherwise
a /2 a
2.1-2
c0 v(t) 0 T0 a/ a4 a 2p T0 a /2 a 2p ant a 2A a p an
c2 a ant Acos a ( aA)cos a dt a sin a
a dt a
n
0 T a
T
a/ 4 a
a
T T p an 2
a 0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2 aAa/ 0 2aAa/ a3p 0 2aAa/ a5p 0 2aAa/ a7p
ap
argacn 0 180 0 180
2.1-3
c0 v(t) A /2
c2 a T a/2 2aAt 2p ant A A
a a
0
a
T
n
A a cos 0 dt a sinp an a a
(cosp an a1)
0
0
T0 T p an a (p an)2 a
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argacn 0 0 0 0
2.1-4
ac a a a
2 T0 a/2 a 2p at
0 Acos a (cont.)
2-1
, T a a
0
0 T
0 0
2-2
