Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition

Solutions Manual aj




to accompany
aj




CommunicationSystem aj




s
AnIntroductiontoSignalsandNoise
aj aj aj aj aj




inElectrical Communication
aj aj aj




Fourth Edition a j




A. Bruce Carlson
aj aj




Rensselaer Polytechnic Institute
aj aj




Paul B. Crilly aj aj




University of Tennessee aj aj




Janet C. Rutledge aj aj




University of Maryland at Baltimore
aj aj aj aj

,Solutions Manual to accompany
aj aj aj


COMMUNICATION SYSTEMS: AN INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL
aj aj aj aj aj aj aj aj aj


COMMUNICATION,FOURTH EDITION
aj aj aj


A. BRUCE CARLSON, PAUL B. CRILLY, AND JANET C. RUTLEDGE
aj aj aj aj aj aj aj aj aj




Published by McGraw-Hill Higher Education, an imprint of The McGraw-Hill Companies, Inc., 1221 Avenue of the
aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj


Americas,New York, NY 10020. Copyright © The McGraw-Hill Companies, Inc., 2002, 1986, 1975, 1968. All rights
aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj a j aj


reserved.
aj




The contents, or parts thereof, may be reproduced in print form solely for classroom use with COMMUNICATION SYSTEMS: AN
aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj


INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION, provided such reproductions bear
aj aj aj aj aj aj aj aj aj aj aj aj aj


copyrightnotice, but may not be reproduced in any other form or for any other purpose without the prior written consent of The
aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj


McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast
aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj aj


for distance learning.
aj aj aj




www.mhhe.com

,Chapter 2 aj




2.1-1
 
jf Ae jf n m
cn Ae
eAe sinc(mn) 
T0/2aajj aj
j n aj)f a j 0t a j
j2p a j (am aj

a j aj
jf dt aj aj aj


aj aj

aT
T0 0 a j /2
0 otherwise
j

aj




2.1-2




c0 v(t) 0
T
aj
2p nt a j T0 a j /2 aj 2p nt 2A pn
c2   Acos dt 
aj a j aj aj aj aj aj
aj

a j dt aj (A)cos aj aj aj sin aj





aj aj






n T




T aj aj/ 4 T pn
aj 2
T aj a j
0 aj
0
0 0 0


n 0 1 2 3 4 5 6 7
cn 0 2A/p aj aj aj 0 2A/3p
aj aj aj 0 2A/5paj aj aj 0 2A/7p aj aj aj




argcn aj 0 180 0 180


2.1-3




c0  v(t) A / 2
a j a j a j aj aj



c2  T /2 2At  2p nt A A
 
a j 0 aj aj aj aj




 
aj aj


n
A cos
dt  sinp n  (cosp n 1)
aj 




T0 0  T0  aj aj aj aj aj aj

T0 pn (p n)2 aj aj aj
a j




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


2.1-4




2 T0 aj /2 2p t
c 0
a j aj
a j
aj a j aj Acos aj
(cont.)
0
T aj aj
 0 T
0 0


2-1

, 2/2 2pt 2pnt 2A sin p p n  2t /T sinp p n2t /T T0 aj/ 2aj
T

aj aj aj aj a j aj aj aj aj aj aj aj aj
aj aj a j




 
a j aj


dt  
0
cn Acos cos 0
 0

a j aj



aj



aj


T0 aj aj
T0 T0 T0 4(p p n) /T0 a j aj aj aj 4(p p n ) /T0aj aj aj
0
A
0

 sinc(1n) sinc(1n)
aj a j



A/2 n 1
aj aj

aj aj aj aj aj aj j aj
a aj




 0 otherwise
a j

2

2.1-5




c0  v(t) 0
2
aj aj aj T0 a j /2 2p nt A
 j dt  j
aj aj a j

c Asin (1cosp n)
T 
a j aj a j aj aj aj aj aj aj


n
0 aj a j T pn aj

0 0


n 1 2 3 4 5
cn 2A/p aj aj aj 0 2A/3p aj aj aj 2A/5p aj aj aj




argcn aj
90 90 90

2.1-6




c0  v(t) 0
aj aj aj



2A sin p p n  2t /T0 sinp p n 2t /T 
T0 aj aj/ 2aj
c2  j T / 2 2p t 2p nt
dt  j  
a j


0 
a j aj 0 aj aj aj aj aj aj aj aj a j aj aj aj aj aj aj aj aj aj aj

Asin sin aj a j




 T T 4(p p n)/ 4(p p n)/ T 
aj aj aj aj aj aj a j aj


n
T T aj
a j aj aj aj


T0 0 0 0 0 aj aj
0 0 0 aj



 m jA/2 n 1
a j

A
 j sinc(1n )sinc(1n ) 
j
a aj aj aj aj aj

aj aj aj aj aj aj




2  0 otherwise

2.1-7
c1  T0 /2
aj
a j  jnw0 t
T0
 jnw0t aj aj aj aj





a
j



n
T0 0 v(t)e dt   v(t)e
ajaj
dt aj aj aj aj

T 0 /2 aj a j aj


T0 aj/2 aj
v(t)e jnw0 t dt 
 v(l  T0 /2)e
 jnw l
e
0 aj aj aj aj aj a j jnw aj0T0aj/2aj
where aj
aj
aj
aj
aj aj0 a j aj
dl

T 0
aj
T aj aj/
0
T0 a j /2aj
e v(t)e jnw0 t dt

jnp aj aj aj aj a j aj
aj
aj
aj 2 aj aj


0

since ejnp 1 for even aj a j a j aj
aj n,
2-2