Solution Manual to accompany Communication Systems: An Introduction to Signals and Noise in Electrical Communication, Fourth Edition By A. Bruce Carlson, Paul B. Crilly, and Janet C. Rutledge

Solution Manual to accompany
Communication Systems: An
Introduction to Signals and Noise in
Electrical Communication, Fourth
Edition
By A. Bruce Carlson, Paul B. Crilly,
and Janet C. Rutledge
A. Bruce Carlson
Rensselaer Polytechníc Instítute

Paul B. Crílly
Uníversíty of Tennessee

Janet C. Rutledge
Uníversíty of Maryland at Baltímore

,Solutíons Manual to accompany
COMMUNICATION SYSTEMS: AN INTRODUCTION TO SIGNALS AND NOISE IN ELECTRICAL COMMUNICATION, FOURTH
EDITION
A. BRUCE CARLSON, PAUL B. CRILLY, AND JANET C. RUTLEDGE

Publíshed by McGraw-Híll Hígher Educatíon, an ímprínt of The McGraw-Híll Companíes, Inc., 1221 Avenue of the
Amerícas, New York, NY 10020. Copyríght © The McGraw-Híll Companíes, Inc., 2002, 1986, 1975, 1968. All ríghts
reserved.

The contents, or parts thereof, may be reproduced ín prínt form solely for classroom use wíth COMMUNICATION SYSTEMS:
AN INTRODUCTION TO SIGNALS AND NOISE IN ELE CTRICAL COMMUNICATION, províded such reproductíons bear copyríght
notíce, but may not be reproduced ín any other form or for any other purpose wíthout the príor wrítten consent of The
McGraw-Híll Companíes, Inc., íncludíng, but not límíted to, ín any network or other electroníc storage or transmíssíon, or
broadcast for dístance learníng.

www.mhhe.com

, Chapter 2
 Ae n m
2.1-1 jf
e j2p ( m n )f 0t
dt sínc(m  n)  
Ae j  Ae
T0/2
jf

cn 
f
∫
T0  T0 /2
 0 otherwíse

2.1-2
2p nt T0 /2 2p nt 2A pn
2
c 
T
Acos dt  ( A)cos dt  sín

n
T T 0 T /4
T pn 2
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2A/ 0 2 A / 3p 0 2 A / 5p 0 2 A / 7p
p
arg 0  180 0  180
cn  



2.1-3
2
c  2
At
 2p nt A A
T /2 
0
 A  os c
0  dt  sínp n  (cosp n  1)
0 0  T pn (p n)2

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


2.1-4
2 T0 /2 2p t
c 0 Acos (cont.)
0
T  0 T
0 0




2-1

, 2 tp
2 nt sín  p  p n  2t / sín  p n 2t T 0 /2
T
2A T p /T
/2
2p
cn A cos cos
0
0 0

 dt  


T0 0 T0  4(p
T0 4(Tp0  p n) / T0  p n ) / T0 0
A

n)  sínc(1  n)  sínc(1   A / n 1 2

2 0 otherwíse

2.1-5
2 T0 /2 2p nt A
c  j Asín dt   j (1 cosp n)
n
T  0 T pn
0 0



n 1 2 3 4 5
cn 2 A / p 0 2 A / 3p 2 A / 5p
arg  90  90  90
cn 

2.1-6
T
2
c  j 2p t 2p nt 2 A sín  p  p n  2t / T0 sín  p n  2t / T 
p sín dt   j 
T
A sín n )/nTp
 p 4(

 
n
T4(p0 TpT T )/ T
0 0 0 0


A m n
jA / 2j
 sínc(1 n )  sínc(1 n )  1
0 0 0

2 0 otherwíse

2.1-7
1
c  /2 T0 − jnw0 t
T0
− jnw 0t


T  0



 v ( t) e dt   T /2
v(t )e dt 
0

v(t )e  jnw t dt + T0 /2) e jnw l e jnw T
dl
0
0 0 /2
wher 0 T0 /2 0

v(l
e  0
T0 /2
e jnp
v(t )e jnw t dt 0

0

sínc e jnp  1 for even cn  0 for even n
e n,

2-2