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

Solutions Manual
to accompany


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


A. Bruce Carlson
h2 h2

Rensselaerh2Polytechnich2Institute

Paul B. Crilly
h2 h2

Universityh2ofh2Tennessee

Janet C. Rutledge
h2 h2

Universityh2ofh2Marylandh2ath2Baltimore

,Solutionsh2Manualh2toh2accompany
COMMUNICATIONh2SYSTEMS:h2ANh2INTRODUCTIONh2TOh2SIGNALSh2ANDh2NOISEh2INh2ELECTRICALh2COMMUNICATI
ON,h2FOURTHh2EDITION
A.h2BRUCEh2CARLSON,h2PAULh2B.h2CRILLY,h2ANDh2JANETh2C.h2RUTLEDGE

Publishedh2byh2McGraw-Hillh2Higherh2Education,h2anh2imprinth2ofh2Theh2McGraw-
Hillh2Companies,h2Inc.,h21221h2Avenueh2ofh2theh2Americas,h2Newh2York,h2NYh210020.h2Copyrighth2©h2Theh2McGraw-
Hillh2Companies,h2Inc.,h22002,h21986,h21975,h21968.h 2 Allh2rightsh2reserved.

Theh2contents,h2orh2partsh2thereof,h2mayh2beh2reproducedh2inh2printh2formh2solelyh2forh2classroomh2useh2withh2COMMUNICATIONh2S
YSTEMS:h2ANh2INTRODUCTIONh2TOh2SIGNALSh2ANDh2NOISEh2INh2ELEh2CTRICALh2COMMUNICATION,h2providedh2 suchh2 re
productionsh2bearh2 copyrighth2notice,h2buth2mayh2noth2beh2reproducedh2inh2anyh2otherh2formh2orh2forh2anyh2otherh2purposeh2withouth2th
eh2priorh2writtenh2consenth2ofh2Theh2McGraw-
Hillh2Companies,h2Inc.,h2including,h2buth2noth2limitedh2to,h2inh2anyh2networkh2orh2otherh2electronich2storageh2orh2transmission,h2orh2bro
adcasth2forh2distanceh2learning.

www.mhhe.com

,Chapterh22

2.1-1
 
Ae jf Aeh2j nh2m
cnh 2 
eAe
T0h2/2h2
j2ph2 (h2mnh2)fh2 0th 2 f
h2 jf dth
2 h2 sinc(mh2h2n)h2
T0
h2T0h2
0 otherwise
/2h2


2.1-2




c0h 2 v(t)h 2T0/h24h 2 2ph2nt T0h 2 /2 h2 2ph2nth 2 2A h2 ph2n
c2h 2 h 0h2 dth 2 
2 dth2 Acosh2 (h2A)cosh2 sinh2
T
n
0

h2h 2 T 




Th2h2
T ph2n 2
/ 4h2
0
0 0 0


n 0 1 2 3 4 5 6 7
cn 0 2h2Ah2/h2 0 2h2Ah2/h23p 0 2h2Ah2/h25p 0 2h2Ah2/h27p
p
argh2cn 0 180 0 180


2.1-3




c0h 2 h 2 v(t)h 2 A h2/2 h2
c2h 2 h T h2/2h 2h2Ath2 2ph2nt A A
2 2
0

T 

n
Ah2 cos 0 dth2  sinph2nh2h2





(cosph2nh21)
0
0
 T0  T ph2nh2 (ph2n)2h 2
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
argh2cn 0 0 0 0


2.1-4




2
ch2h 2 h2 T0h2/2 h 2 Acosh2 2ph2t 0
h2



2-1

, Th2h2
0 (cont.)
0 T
0 0




2-2