Solutions Manual to accompany Communication Systems An Introduction to Signals and Noise in Electrical Communication Fourth Edition A. Bruce Carlson

Solutions Manual
to accompany
CommunicationSystems
An Introduction to Signals and
Noise in Electrical Communication
Fourth Edition

A. Bruce Carlson
Rensselaer7Polytechnic7Institute

Paul B. Crilly
7 7


University7of7Tennessee

Janet C. Rutledge
7 7


University7of7Maryland7at7Baltimore

,Solutions7Manual7to7accompany
COMMUNICATION7SYSTEMS:7AN7INTRODUCTION7TO7SIGNALS7AND7NOISE7IN7ELECTRICAL7COMMUNICATION,7FOURTH7E
DITION
A.7BRUCE7CARLSON,7PAUL7B.7CRILLY,7AND7JANET7C.7RUTLEDGE

Published7by7McGraw-Hill7Higher7Education,7an7imprint7of7The7McGraw-
Hill7Companies,7Inc.,712217Avenue7of7the7Americas,7New7York,7NY710020.7Copyright7©7The7McGraw-
Hill7Companies,7Inc.,72002,71986,71975,71968.7 All7rights7reserved.

The7contents,7or7parts7thereof,7may7be7reproduced7in7print7form7solely7for7classroom7use7with7COMMUNICATION7SYSTEM
S:7AN7INTRODUCTION7TO7SIGNALS7AND7NOISE7IN7ELE7CTRICAL7 COMMUNICATION,7provided7 such7 reproductions7 bear7 co
pyright7notice,7but7may7not7be7reproduced7in7any7other7form7or7for7any7other7purpose7without7the7prior7written7consent7
of7The7McGraw-
Hill7Companies,7Inc.,7including,7but7not7limited7to,7in7any7network7or7other7electronic7storage7or7transmission,7or7broadcas
t7for7distance7learning.

www.mhhe.com

,Chapter72

2.1-1
Ae j T0/277 Ae n7 m
cn7
f
∫e7j2Ae
p7 (7m
7
jf
n7)f7 0t7
dt7
sinc(m7 n )7
7
jf
7



T0 0 otherwise
7T07
/27



2.1-2




c07 v(t)7 0
T07/747 2p7nt T07 /2 7 2p7nt7 2 A 7 p7n
2
c7 7 Acos7 d ( A)cos7 dt7 sin7
t7 7


n
0 T77 T T p7n 2
T77/ 4
7
0
0 0 0



n 0 1 2 3 4 5 6 7
cn 0 27A7/7 0 27A7/73p 0 27A7/75p 0 27A7/77p
p
arg7c 0 180 0 18
n 0


2.1-3




c07 7 v(t)7 A 7/2 7
2
c7 7 T 7/27 0 27At7 2p7nt A A
n
A cos
T 0 7 0 dt7 sinp7n7 7 (cosp7n7 1)
0  T0 T p7n7 (p7n)27

n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arg7c 0 0 0 0
n




2.1-4

2-1

, 2 2p7t7
c77 7
T07 /2 7
Acos7 (cont.)
0
T77 T
0
0
0 0




2-2