Solutions Manual ll
to accompany ll
Communication
Systems
l
AnIntroductiontoSignalsandNoisein
l l l l l l
Electrical Communication
l ll
Fourth Edition l l
A. Bruce Carlson
ll ll
Rensselaer Polytechnic Institute
ll ll
Paul B. Crilly ll ll
University of Tennessee ll ll
Janet C. Rutledge ll ll
University of Maryland at Baltimore
ll ll ll ll
,Solutions llManual llto llaccompany
COMMUNICATION llSYSTEMS: llAN llINTRODUCTION llTO llSIGNALS llAND llNOISE llIN llELECTRICAL
llCOMMUNICATION,lFOURTH ll EDITION
A. llBRUCE llCARLSON, llPAUL llB. llCRILLY, llAND llJANET llC. llRUTLEDGE
Published llby llMcGraw-Hill llHigher llEducation, llan llimprint llof llThe llMcGraw-Hill llCompanies, llInc., ll1221
llAvenue llof llthe llAmericas,lNew llYork, llNY ll10020. llCopyright ll© llThe ll McGraw-Hill llCompanies, llInc., ll2002,
ll1986, ll1975, ll1968. l l All llrights llreserved.
The llcontents, llor llparts llthereof, llmay llbe llreproduced llin llprint llform llsolely llfor llclassroom lluse llwith
llCOMMUNICATION ll SYSTEMS: llAN ll INTRODUCTION llTO llSIGNALS llAND llNOISE llIN llELElCTRICAL
ll COMMUNICATION, llprovided ll such ll reproductions ll bear ll copyrightlnotice, ll but ll may ll not ll be ll reproduced llin llany
llother llform llor llfor llany llother llpurpose llwithout llthe llprior llwritten llconsent llof llThe ll McGraw-Hill ll Companies, llInc.,
llincluding, llbut llnot lllimited llto, llin llany llnetwork llor llother llelectronic llstorage llor lltransmission, llor ll broadcast llfor
lldistance ll learning.
www.mhhe.com
,Chapter ll2
2.1-1
Ae j
T0l/
2ll Ae n ll m
cn ll
f
∫ e llj2p ll( lmjf n ll)f ll t l l dt
ll Ae ll
0
sinc(ml ln) ll
ll
jf
T0 lT0
0 otherwise
l l /2 ll
2.1-2
c0 l l v(t) Tl l0=0 / ll4 l l 2p T0 /2 ll 2p llnt l l 2A l p lln
cl l ll2 llntdt ll Acos ll
ll ll
( lA)cos ll dt ll sin ll
n
T ll 0 T T p ln 2
ll T ll ll / 4 ll
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2lA/
l lp 0 2lA/
l l3p 0 2lAl/l5p 0 2lAl/ l7p
arglcn 0 180 0 180
2.1-3
c0 l l = l l v(t) l l =A l/ 2 l
cl l ll2 T ll/2 2lAt
0 2p llnt A A
ll ll
n
T 0 A ll os c 0 dt ll sinp lln ll ll (cosp lln ll 1)
0 T0 T p lln ll (p lln)2 l l
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arglcn 0 0 0 0
2.1-4
2-
1
, 2 T0 ll /2 ll
cll2p
ll llllt l lll
0 Acos (cont.)
0
T ll ll 0 T
0 0
2-
2
to accompany ll
Communication
Systems
l
AnIntroductiontoSignalsandNoisein
l l l l l l
Electrical Communication
l ll
Fourth Edition l l
A. Bruce Carlson
ll ll
Rensselaer Polytechnic Institute
ll ll
Paul B. Crilly ll ll
University of Tennessee ll ll
Janet C. Rutledge ll ll
University of Maryland at Baltimore
ll ll ll ll
,Solutions llManual llto llaccompany
COMMUNICATION llSYSTEMS: llAN llINTRODUCTION llTO llSIGNALS llAND llNOISE llIN llELECTRICAL
llCOMMUNICATION,lFOURTH ll EDITION
A. llBRUCE llCARLSON, llPAUL llB. llCRILLY, llAND llJANET llC. llRUTLEDGE
Published llby llMcGraw-Hill llHigher llEducation, llan llimprint llof llThe llMcGraw-Hill llCompanies, llInc., ll1221
llAvenue llof llthe llAmericas,lNew llYork, llNY ll10020. llCopyright ll© llThe ll McGraw-Hill llCompanies, llInc., ll2002,
ll1986, ll1975, ll1968. l l All llrights llreserved.
The llcontents, llor llparts llthereof, llmay llbe llreproduced llin llprint llform llsolely llfor llclassroom lluse llwith
llCOMMUNICATION ll SYSTEMS: llAN ll INTRODUCTION llTO llSIGNALS llAND llNOISE llIN llELElCTRICAL
ll COMMUNICATION, llprovided ll such ll reproductions ll bear ll copyrightlnotice, ll but ll may ll not ll be ll reproduced llin llany
llother llform llor llfor llany llother llpurpose llwithout llthe llprior llwritten llconsent llof llThe ll McGraw-Hill ll Companies, llInc.,
llincluding, llbut llnot lllimited llto, llin llany llnetwork llor llother llelectronic llstorage llor lltransmission, llor ll broadcast llfor
lldistance ll learning.
www.mhhe.com
,Chapter ll2
2.1-1
Ae j
T0l/
2ll Ae n ll m
cn ll
f
∫ e llj2p ll( lmjf n ll)f ll t l l dt
ll Ae ll
0
sinc(ml ln) ll
ll
jf
T0 lT0
0 otherwise
l l /2 ll
2.1-2
c0 l l v(t) Tl l0=0 / ll4 l l 2p T0 /2 ll 2p llnt l l 2A l p lln
cl l ll2 llntdt ll Acos ll
ll ll
( lA)cos ll dt ll sin ll
n
T ll 0 T T p ln 2
ll T ll ll / 4 ll
0
0 0 0
n 0 1 2 3 4 5 6 7
cn 0 2lA/
l lp 0 2lA/
l l3p 0 2lAl/l5p 0 2lAl/ l7p
arglcn 0 180 0 180
2.1-3
c0 l l = l l v(t) l l =A l/ 2 l
cl l ll2 T ll/2 2lAt
0 2p llnt A A
ll ll
n
T 0 A ll os c 0 dt ll sinp lln ll ll (cosp lln ll 1)
0 T0 T p lln ll (p lln)2 l l
n 0 1 2 3 4 5 6
cn 0.5A 0.2A 0 0.02A 0 0.01A 0
arglcn 0 0 0 0
2.1-4
2-
1
, 2 T0 ll /2 ll
cll2p
ll llllt l lll
0 Acos (cont.)
0
T ll ll 0 T
0 0
2-
2
