Solutions Manual #br
to accompany
#br
Communication
Systems#br
An Introduction to Signals and Noise in
#br #br #br #br #br #br
Electrical Communication
#br #br
Fourth Edition #br
A. Bruce Carlson
#br #br
Rensselaer Polytechnic Institute
#br #br
Paul B. Crilly #br #br
University of Tennessee #br #br
Janet C. Rutledge #br #br
University of Maryland at Baltimore
#br #br #br #br
,SCHOLARVAULT
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 IN ELE CTRICAL COMMUNICATION, provided such reproductions bear copyright
notice, but may not be reproduced in any other form or for any other purpose without the prior written consent of The McGraw-Hill
Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance
learning.
www.mhhe.com
,SCHOLARVAULT
Chapter #br2
2.1-1
Aejϕ
Ae n #brm
cn #br
T 0
/ e#brj2π #br(#brmn #br)f #br t #br
0
dt jϕ
#brAe#br
jϕ
sinc(m#brn) #br
#br
#br2 #br
#br
T0
T0
#br /2 #br
0 otherwise
2.1-2
2 # b #r bT0r #br0
c0 # b r v(t) / #br4 #br r2πnt T0 #br/2 #br 2πnt #br 2A#br πn
c #br dt #br #br dt #br sin#br
#
b
Acos#br (A)cos #br
n
T T T#br T πn 2
#br
0
#br / #br 4 # b r
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2#brA#br/#brπ 0 2#brA#br/ #br3π 0 2#brA#br/ #br5π 0 2#brA#br/ #br7π
arg#brcn 0 180 0 180
2.1-3
c
# b r
2 2#brAt #br 2πnt A A
T0 #br /2
#br
A cos dt sinπn (cosπ#brn #br1)
T
n
#br #br #br
2 # b r
# b r
0
T T πn
# b r
0 0 # b r 0 (π#brn)
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg#brcn 0 0 0 0
2.1-4
2 T0 #br/2 #br 2π#brt #br
c # b r Acos #br 0
2-1
, SCHOLARVAULT
(cont.)
T #br
0
0 T
0 0
2-2