to accompanyyy
CommunicationSystems y
AnIntroductiontoSignalsandNoise
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inElectrical Communication
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Fourth Edition y y
A. Bruce Carlson
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Rensselaer Polytechnic Institute
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Paul B. Crilly yy yy
University of Tennessee yy yy
Janet C. Rutledge yy yy
University of Maryland at Baltimore
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,Solutions Manual to accompany
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COMMUNICATION SYSTEMS: AN INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION,FOURTH
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EDITION
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A. BRUCE CARLSON, PAUL B. CRILLY, AND JANET C. RUTLEDGE
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Published by McGraw-Hill Higher Education, an imprint of The McGraw-Hill Companies, Inc., 1221 Avenue of
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the Americas,New York, NY 10020. Copyright © The McGraw-Hill Companies, Inc., 2002, 1986, 1975, 1968.
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y y All rights reserved.
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The contents, or parts thereof, may be reproduced in print form solely for classroom use with COMMUNICATION
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SYSTEMS: AN INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION, provided such reproductions
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bear copyrightnotice, but may not be reproduced in any other form or for any other purpose without the prior
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written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic
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storage or transmission, or broadcast for distance learning.
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www.mhhe.com
,Chapter 2 yy
2.1-1
Ae j T0/2yyy Ae n m
f
∫e j2pAe( m jf n )f t yy
dt jf
yy
cn y y yy yy yy0
sinc(m n)
yy yy
y y
yy yy y y yy
T0 T0
yy
0 otherwise
yy
/2yy
2.1-2
c0 v(t) 0
nt Acos 2p 2p nt 2A pn
T T0 y y /2 yy
c2 A)cos dt sin
yy y y yy yy y yy
yy
dt
yy
yy y yy yy yy
y y yy
yy
n
T T T pn yy 2
0
yy
yy
T yy yy/ 4
yy
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2A/p y y y
0 2A/ 3p y y yy
0 2A/ 5p y y yy
0 2A/ 7p y y yy
argcn y
0 0
2.1-3
c0 v(t) A /2
c2
y y
T /2 2At 0 yy y 2p nt yy A A
yy yy
yy
n
A cos
T yy
0 0 dt sinp n (cosp n
T pn (p n)2
yy yy yy yy yy yy
0
T0 yy yy yy
y y
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argcn y
0 0 0 0
2.1-4
2-1
, 2T0 /2 2p t
c Acos
yy y y yy
y y
yy y y yy yy
(cont.)
T T
0
yy yy
0
0 0
2-2