Solutions Manual for Communication Systems, 5th Edition By Carlson

Solutions Manual |




to accompany
|




Communication
Systems
|




AnIntroductiontoSignalsandNoisein
| | | | | |




Electrical Communication
| |




Fourth Edition |




A. Bruce Carlson
| |


Rensselaer Polytechnic Institute
| |




Paul B. Crilly | |


University of Tennessee | |




Janet C. Rutledge | |


University of Maryland at Baltimore
| | | |

,Solutions |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

Published |by |McGraw-Hill |Higher |Education, |an |imprint |of |The |McGraw-Hill |Companies, |Inc., |1221 |Avenue |of |the
|Americas,|New |York, |NY |10020. |Copyright |© |The |McGraw-Hill |Companies, |Inc., |2002, |1986, |1975, |1968. | All |rights

|reserved.


The |contents, |or |parts |thereof, |may |be |reproduced |in |print |form |solely |for |classroom |use |with |COMMUNICATION |SYSTEMS: |AN
|INTRODUCTION |TO |SIGNALS |AND |NOISE |IN |ELE|CTRICAL | COMMUNICATION, |provided | such | reproductions | bear | copyright

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

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

|learning.


www.mhhe.com

,Chapter |2

2.1-1
 
Ae jf Ae |jf n |m
cn | 
ejf | dt | Ae sinc(m||n) |
T0|/2|
j2p | (|mn |)f | t | 0


|
|T0 | /2 |
T0 0 otherwise

2.1-2




2 | 0
c0 | v(t) T0 |/ |4 | 2p |nt T0 | /2 | 2p |nt | 2A | p |n
c | | Acos | dt | (|A)cos | dt |  sin |

T | |

n
0 T T | |/ 4 |
0




T p |n 2
0 0 0


n 0 1 2 3 4 5 6 7
cn 0 2|A|/|p 0 2|A|/|3p 0 2|A|/|5p 0 2|A|/|7p
arg|cn 0 180 0 180


2.1-3




c0 |  | v(t) | A |/ 2 |
2
c |  | T |/2 | 2|At | 2p |nt
0 A A


A  cos
dt |  sinp |n | | (cosp |n |1)
| 




n
T0 0  T0  T0 p |n | (p |n)2 |
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg|cn 0 0 0 0


2.1-4




2 T0 |/2 | 2p |t
| | | |
c0 Acos | (cont.)
T | |
0
0 T
0 0



2-1

, 2| | | | T | /2 2pt 2p|nt 2|A |sin |p | p |n  2t |/|T sin|p p |n|2t |/|T T0 |/ 2 |

 dt |  0| 
0
cn Acos cos 0
 
|

| 

T0 | | T0 T0 T0 4(p | p |n) |/|T0 4(p |p|n ) /|T0 0
| 
0
|
|A|
 sinc(1||n)| |sinc(1||n) A|/|2 n |1
 |
2 0 otherwise

2.1-5




c0 |  | v(t)2| 0T0 | /2 | 2p |nt A|
c |  |j | Asin | dt |  |j | (1|cosp |n)
T | |
n
0 T p |n
0 0


n 1 2 3 4 5
cn 2|A|/|p 0 2|A|/|3p 2|A|/|5p
arg|cn 90 90 90

2.1-6




c0 |  | v(t) | 0
2|A |sin |p | p |n  2t |/|T0 | | sin|p p |n |2t |/|T | |
T0 | |/ 2 |
c | |j
|2 T |/ 2 | 2p t | 2p |nt |
dt | |j | |
0
Asin | sin | | | 0 
n
T0| | 
0
T T T 4(p | p |n)/ |T 4(p p |n)/ |T 
0 0 0|
0 0 0
| 
|A| m |jA|/|2 n|1
 |j | sinc(1n|)||sinc(1|n ) 

2  0 otherwise

2.1-7
c|1 |  T| 0 | /2 |  jnw0 |t
T0
 jnw|0t

n

T0|| 0 v(t)|e dt | |
T |0| / 2 |
v(t)e dt|
T0 |/ 2 |



 |jnw| l |  | jnw | T |/2 |
v(t)e jnw v(l  T0 /2)|e
0||||| |
0 |t |
where | dt e 0 0 0
dl

T 0
|
T | |/
0
T0 | /2 |
e | jnp | | | | | v(t|)e |jnw0 |t |dt
|2

0

| 1 | for |even |n, c
since ejnp
|
n | |0 | for |even |n

2-2