to accompany
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CommunicationSystems t
AnIntroductiontoSignalsandNoise
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inElectricalCommunication
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Fourth Edition t
A. Bruce Carlson
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Rensselaer Polytechnic Institute
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Paul B. Crilly t t
University of Tennessee t t
Janet C. Rutledge t t
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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t 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 copyright
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notice, but may not be reproduced in any other form or for any other purpose without the prior written consent of The McGraw-
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Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for
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distance learning.
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www.mhhe.com
,Chapter 2 t
2.1-1
Ae j T0/2tt Ae n m
f
∫e j2Ae
p (m n )f t
dt jf
t
cn t t t t0 t
jf
sinc(m n)
t t
t
t t t t t
T0 T0 t /2t
t
0 otherwise
2.1-2
c0 v(t) =0
T 2p nt T0 t /2 t 2p nt 2A pn
c2 Acos dt ( A)cos dt sin
t t t t t t t t t
t
t t t t t t
t t
n
T0 t
T T pn t 2
t
T t t / 4t
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2A/p t t t
0 2A/3p t t t
0 2A/5p
t t t
0 2A/7p t t t
argcn t
0 180 0 180
2.1-3
c0 = v(t) =A / 2
t t t t t
c2
t
tT /2 2At 0t t 2p nt t A A
t t
A osc
n
T 0 t
0 dt sinp n (cosp n 1)
T0 T pn (p n)2
t t t t t t
t
0 t t t
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argcn t
0 0 0 0
2.1-4
2-1
, 2 T0 t /2 2p t
c0 Acos
t t
t
t t t t
(cont.)
T T
0
tt
0
0 0
2-2