Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition all chapters included newest version

Solutions Manual
to accompany


Communication
Systems
An Introduction to Signals and Noise in
Electrical Communication
Fourth Edition


A. Bruce Carlson
rp rp




Rensselaer Polytechnic Institute
rp rp




Paul B. Crilly rp rp




University of Tennessee rp rp




Janet C. Rutledge rp rp




University of Maryland at Baltimore
rp rp rp rp

,Solutions Manual to accompany
rp rp rp


COMMUNICATION SYSTEMS: AN INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION,FOUR
rp rp rp rp rp rp rp rp rp rp rp


TH EDITION
rp


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




Published by McGraw-Hill Higher Education, an imprint of The McGraw-
rp rp rp rp rp rp rp rp rp


Hill Companies, Inc., 1221 Avenue of the Americas,New York, NY 10020. Copyright © The McGraw-
rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp


Hill Companies, Inc., 2002, 1986, 1975, 1968. All rights reserved.
rp rp rp rp rp rp r p rp rp




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


TRODUCTION TO SIGNALS AND NOISE IN ELE CTRICAL COMMUNICATION, provided such reproductions bear copyrightnotic
rp rp rp rp rp rp rp rp rp rp rp rp rp rp


e, but may not be reproduced in any other form or for any other purpose without the prior written consent of The McGraw-
rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp


Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance
rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp rp


learning.

www.mhhe.com

,Chapter 2 rp




2.1-1
jf Ae jf n =m
cn =Ae dt =Ae sinc(m−n) =
+e
T0rp/2rp rp
j2pr p (rpm−nrp)frp 0tr p p
r rp rp
rp

r p
jf rp rp rp


−rpT0r p /2rp
T0 0 otherwise

2.1-2




c0 v(t) =0
T 2p nt T0 /2 2p nt 2A p n
c = dt + dt = sin
rp rp rp r p rp

2 Acos
rp

(− A)cos
rp rp rp rp pr rp





r p rp rp rp rp rp rp rp




T 
n
0 T T /4
0
T pn 2 rprp rp rp


0rpr p 0 0


n 0 1 2 3 4 5 6 7
cn 0 2A/p
rp pr rp 0 2A/ 3p
rp pr rp 0 2A/ 5p
rp pr rp 0 2A/ 7prp pr rp




argcn rp
0 180 0 180


2.1-3




c0 = v(t) =A /2
r p r p r p rp rp



c =
2 2At  2p nt A A

r p T /2 rp 0rp rp rp rp rp




n 
T0 0 
A −
T0 
cos
dt = sinp n − (cosp n −1)
rp



 T0 pn (p n)2
rp

rp rp
rp rp rp

rp
r p
rp rp




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


2.1-4




2
c =
rpr p rp
T0rp /2 r p
Acos
2p t rp r p

= (cont.)
0 rp




0
T rprp
 0 T
0 0



2-1

, 22 2pt 2p nt 2A sin (p −p n ) 2t /T sin (p +p n)2t /T T0rp/ 2rp
Tr p /

rp rp rp r p rp rp rp rp rp rp rp rp
rprpr p rp





rp


dt = 
0
cn Acos cos 0r p
+ 0

rp


=
rp
rp




T0 rprprp
T0 T0 T0 r p
4(p −p n) /T0 r p rp rp rp 4(p +p n) /T0 rp rp rp
0
A
0

= sinc(1−n)+ sinc(1+n) A/2 n =1
rp pr

rp rp rp rp rp rp p
r rp rp



=
0
r p

2 otherwise

2.1-5




c0 = v(t)2=0
rp T0 /2 rp
2p nt A rp


c =− j dt =− j
rp rp r p
rp

Asin (1− cosp n)

r p rp r p rp rp rp rp rp rp


n
T 0 T pn rpr p rp

0 0


n 1 2 3 4 5
cn 2A/p rp pr rp 0 2A/ 3p rp pr rp 2A/ 5p
rp pr rp




argcn rp
−90 −90 −90

2.1-6




c0 = v(t) =0
2A sin (p −p n ) 2t /T0 sin(p +p n )2t /T 
rp rp rp
T0rprp/ 2rp
c =− j
2 r p

T /2 2p t 2p nt
dt =− j −
0rp
 0 
r p rp rp rp rp rp rp rp rp r p rp rp rp rp rp rp rp rp rprp

Asin sin rpr p




 4(p −p n)/ T 4(p +p n)/ T
rp rp rp rp rp rpr p rp


n
T T T r p rp rp rp rp


T0 0
0 0
0
rprp

0 0
0 
m jA/ 2 n =1
rpr p

A
=− j sinc(1−n) −sinc(1+n ) =
pr pr rp pr rp rp

rp rp pr rp rp rp




2  0 otherwise

2.1-7
1
c = T0 /2
r p − jnw0 t
rp
T0
− jnw 0t rp rp rp rp





p
r



n
T00 v(t)e dt + 
rprp
v(t)e dt rp rp rp pr

T 0 /2 rpr p rp


T0rp/2 rp


− jnw l
v(t)e −jnw0 t dt v(l + T0 /2)e e− jnw
0rprprprprpr p T0rp/2rp
where rp
rp
rp
rp rp
rp pr0 r p rp rp0
dl
=
T 0
Trprp/rp
0
T0r p /2rp
=−e v(t)e− jnw0 t dt

jnprprprprpr p rp
rp
rp
2 rp pr


0

since ejnp =1 for even n, cn =0 for even n
pr r p r p rp rp
rprp
r p rp rp




2-2