Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition A. Bruce Carlson newest version updated 2025

Solutions Manual b




to accompany
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CommunicationSystems b




AnIntroductiontoSignalsandNoisei
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nElectricalCommunication
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Fourth Edition b




A. Bruce Carlson
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Rensselaer Polytechnic Institute
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Paul B. Crilly b b




University of Tennessee b b




Janet C. Rutledge b b




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 the
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b Americas,New York, NY 10020. Copyright © The McGraw-Hill Companies, Inc., 2002, 1986, 1975, 1968. All rights
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reserved.
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The contents, or parts thereof, may be reproduced in print form solely for classroom use with COMMUNICATION SYSTEMS: AN
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INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION, provided such reproductions bear
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copyrightnotice, but may not be reproduced in any other form or for any other purpose without the prior written consent of The
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McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or
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broadcast for distance learning.
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www.mhhe.com

,Chapter 2 b




2.1-1
Ae j T0/2 Ae jf n m
∫ejf dt Ae sinc(m n)
b

f
b


j2p (m n )f 0t
cn
b b
b b b b b
b b b
b b
b




T0 0 otherwise
b


T0 /2
b
b
b




2.1-2




2 0
c0 v(t) T 2p nt T0 /2 2p nt 2A pn
c Acos dt A)cos dt sin
b b b b b
b b b b b
b b


b b b b b b b

b




n
T
0 b
T/ 4
b b
T b T pn b 2
b
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2A/pb b b
0 2A/3p
b b b
0 2A/5pb b b
0 2A/7p b b b




argcn b
0 0




2.1-3




c0  v(t) A / 2
2
b b b b b




c b b T0 /2 b 2At b b 2p nt b A A
A co
b




T0 s dt sinp n (cosp n
b
n 0
T0  T0
b


pn
b b
b b


(p n)2
b



b
b
b b




n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argcn b
0 0 0 0



2.1-4




2-1

, 2 T0 /2 2p t
c Acos
b




(cont.)
b b

b
b b b b




T T
0
bb
0
0 0




2-2