to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition
A. Bruce Carlson
Rensselaer Polytechnic Institute
Paul B. Crilly
Uniṿersity of Tennessee
Janet C. Rutledge
Uniṿersity 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 Aṿenue of
the Americas, New York, NY 10020. Copyright © The McGraw-Hill Companies, Inc., 2002, 1986, 1975, 1968. All
rights reserṿed.
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, proṿided 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
, Chapter 2
2.1-1
Ae j
T0/2 Ae n m
cn
f
∫e j2p ( m n )f 0t
dt sinc(m
jf
n)
Ae jf
T0 T0
0 otherwise
/2
2.1-2
c0 ṿ(t) 0
nt Acos 2p 2p nt 2A pn
T T0 /2
2
c ( A)cos dt sin
dt
n
0 T T T pn 2
T
/4
0
0 0 0
n 0 1 2 3 4 5 6 7
0 2A/ 0 2A/ 0 2A/ 0 2 A / 7p
cn
p 3p 5p
arg 0 18 0 18
0 0
cn
2.1-3
c0 ṿ(t) A /2
2
c T /2 2 At
0 2p nt A A
n
T A cos dt sinp n (cosp n 1)
0
0
0 T T pn (p n)2
0
n 0 1 2 3 4 5 6
2-1