Solutions Manual for Communication Systems: An Introduction to Signals and Noise in Electrical Communication, 4th Edition by A. Bruce Carlson, Paul B. Crilly, and Janet C. Rutledge

Solutions Manual b6




to accompany b6




CommunicationSystems 6
b




An Introduction to Signals and
b6 b6 b6 b6




Noise inElectrical Communication
b6 b6 6
b b6




Fourth Edition b 6




A. Bruce Carlson
b6 b6



Rensselaer Polytechnic Institute
b6 b6




Paul B. Crilly b6 b6



University of Tennessee b6 b6




Janet C. Rutledge b6 b6



University of Maryland at Baltimore
b6 b6 b6 b6

,Solutions b6Manual b6to b6accompany
COMMUNICATION b6SYSTEMS: b6AN b6INTRODUCTION b6TO b6SIGNALS b6AND b6NOISE b6IN b6ELECTRICAL b6COMMUNICATION,
b6FOURTH b6EDITION


A. b6BRUCE b6CARLSON, b6PAUL b6B. b6CRILLY, b6AND b6JANET b6C. b6RUTLEDGE

Published b6by b6McGraw-Hill b6Higher b6Education, b6an b6imprint b6of b6The b6McGraw-Hill b6Companies, b6Inc., b61221
b6 Avenue b6of b6the b6Americas,b6New b6York, b6NY b610020. b6Copyright b6© b6The b6McGraw-Hill b6Companies, b6Inc., b62002,
1986, b61975, b61968.
b6 b 6 All b6rights b6reserved.

The b6contents, b6or b6parts b6thereof, b6may b6be b6reproduced b6in b6print b6form b6solely b6for b6classroom b6use b6with
b6COMMUNICATION b6SYSTEMS: b6AN b6INTRODUCTION b6TO b6SIGNALS b6AND b6NOISE b6IN b6ELEb6CTRICAL b6 COMMUNICATION,

b6provided b6 such b6 reproductions b6 bear b6 copyrightb6notice, b6but b6may b6not b6be b6reproduced b6in b6any b6other b6form b6or b6for b6any

b6other b6purpose b6without b6the b6prior b6written b6consent b6of b6The b6McGraw-Hill b6 Companies, b6Inc., b6including, b6but b6not b6limited

b6to, b6in b6any b6network b6or b6other b6 electronic b6storage b6or b6transmission, b6or b6broadcast b6for b6distance b6learning.



www.mhhe.com

,Chapter 2 b6




2.1-1
Ae j T06/2bb6 Ae n m
∫e jf b6
f
cn j2p b6 (b6m n b6)f b6 0t b 6
dt
Ae jf
sinc(m n)
b6 b6
b6
b6 b6 b6 b6 b6


T0 T0
b6
0 otherwise
b6
/2 b6



2.1-2




c0 v(t) T0/ 4 2p T0 b 6 /2 b6 2p nt 2A pn
c2 nt
dt Acos A)cos dt
b6 b6

sin
b6 b6
0 b6 b6 b6 b6 b6
b6
b 6 b6 b6 b6 b6 b6
b6 b6


n
T0 b6 T
b6 b6 / 4 b6
T T pn b6 2
b6 0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 2A/
b6 b6
0 2 A / 3pb6 b6 b6
0 2 A / 5p b6 b6 b6
0 2 A / 7p b6 b6 b6


p
b6



arg 0 0
b6 cn


2.1-3




c0  v(t) A /2
b6 b 6 b 6 b6 b6


c2
b6
T /2b 62 At
b6
0 b6
b6
b6 2p nt b6 A A
A co
T0 s
n
T dt sinp n (cosp n
b6
0

0
T pn (p n)2
b6 b6 b6 b6 b6 b6
0 b 6
b6 b6 b6




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
b6 cn


2.1-4

2-1

, 2 T0 2p
ct
/2
Acos
b6 b6
b6 b 6
b6 b 6 b6 b6
(cont.)
T T
0
b6 b6
0
0 0




2-2