Solutions manual communication systems carlso

Solutions Manual IIll




to accompany II ll




CommunicationSystem Il




s
AnIntroductiontoSignalsandNoiseinElect
Il Il Il Il Il Il Il




rical Communication
IIl




Fourth Edition I I l l




A. Bruce Carlson
IIll IIll




Rensselaer Polytechnic Institute IIll IIll




Paul B. Crilly IIll II ll




University of Tennessee IIll IIll




Janet C. Rutledge IIll IIll




University of Maryland at Baltimore
II ll I I ll I I ll I I ll

,Solutions Manual to accompany IIll IIll IIll


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


COMMUNICATION,FOURTH EDITION
IIll Il IIll


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




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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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
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reproductions bear copyrightnotice, but may not be reproduced in any other form or for any other purpose without the
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prior 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 IIll




2.1-1
 
Ae jf Ae jf n m

e Ae sinc(mn) 
T0Il/2Il IIll

cn j2p I I ll (Ilmn IIll)f I I ll 0t I I l l IIl

I I l l IIll
jf dt Il Il IIll


II ll IIll

IlT0
T0
IIll
/2Il
0 otherwise

2.1-2




c0 v(t) T00
/4 IIll
2p nt I I l l T0 I I l l /2 IIll 2p nt 2A pn
dt 
IIl I I l l IIll IIll I I ll Il IIll
IIll

c2   Acos dt Il (A)cos Il IIll II ll sin Il





I I l l IIll





IIl

n
0 T
T/ 4 IIll II ll IIl




T IIll T pn Il 2
II ll 0
0 0 0


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




argcn Il 0 180 0 180


2.1-3




c0  I I l l A / 2
I I l l v(t) I I l l Il Il



c2  2At  2p nt A A
 
T /2 0 IIll Il IIl IIl




   
I I l l IIll
IIl

n
A cos
dt  sinp n 
IIll 




(cosp n 1)
T0 0  T0  T0 pn (p n)2
I I ll

IIll IIll
IIll IIll IIll

IIll
I I l l
IIll IIll




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


2.1-4




2 T0 /2 2p t
c 0
IIll I I l l IIll
I I l l
IIll I I l l IIll Acos II ll
(cont.)
0
T IIll II ll
 0 T
0 0

2-1

, 2 2pt 2pnt 2A sin p p n  2t sinp p n2t /T T0 IIll/ 2Il
T

Il Il IIll Il I I l l IIll Il IIll Il IIll Il
IIll IIll I I l l
I I l l Il/2 /T

IIll Il


cn
0
Acos cos dt   0
 0 IIll 

I I l l



IIl



IIll


T0 IIll
T0 T0 4(p p n) T0 I I l l IIll 4(p pn ) /T0 Il Il Il
0
A
0
 /T0 Il Il




 sinc(1n) sinc(1n)
IIll IIll I I l l



A/2 n 1
Il Il

Il Il Il Il Il Il Il Il IIll




 0 otherwise
I I l l

2

2.1-5




c0  v(t) 02 IIll IIll IIll T0 I I l l /2 2p nt A
 j dt  j
IIll IIll I I l l

c Asin (1cosp n)
T 
I I l l IIll I I l l I I ll IIll IIll I I ll Il IIll


n 0 IIll I I l l T pn Il

0 0


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




argcn Il
90 90 90

2.1-6




c0  v(t) 0 IIll IIll IIll



2A sin p p n  2t /T0 p n 2t /T 
T
cj 2  T / 2
IIll IIll Il


2p t 2p nt
sinpAsin dt  j 
I I l l
I I l l 0 IIll IIll II ll Il I I ll Il IIll Il I I l l IIll IIll Il IIll Il IIll Il IIllIIll

Il
sin 0 IIll IIll I I ll IIl IIll
IIll I I l l




 
Il




T n)/ T 4(p p 4(p p n)/ T 

IIl IIll I I l l


n
T T IIll Il
I I l l IIll Il


0 T0
0
IIll
IIll 0 0 0 IIll
0 0
 m jA/ 2 n 1
I I l l

A
 j sinc(1n)sinc(1n ) 
Il Il IIll Il Il IIll

IIl IIll Il Il Il Il




2  0 otherwise

2.1-7
c1  /2T0
I I l l
IIll
l
I
IIll  jnw0Ilt
T0
 jnwIl0t
Il




n

T0  0 v(t)e IIllIl
Il dt  
T0
IIll IIll

IIll I I ll / 2 IIll
v(t)e dt Il




T0 IIll/2 Il



 jnw l
v(t)e jnw0 t v(l  T0 /2)e e
0 IIll IIll IIll IIll IIll I I l l jnw IIll0T0IIll/2IIl
where Il
Il
Il
IIll Il0 I I l l II ll
dl

T
dt  IIl
0
I I ll
T IIll
0
T0 I I l l /2Il
e v(t)e jnw0 t dt

jnp IIll IIll IIll IIll I I l l IIll
IIl
Il
/2
II ll Il I I ll Il

0
2-2