STUDY NOTES & REFERENCE GUIDE
Solutions Manual
to accompany
Communication
Systems
An Introduction to Signals and Noise
inElectrical Communication
Fourth Edition
A. Bruce Carlson
Rensselaer Polytechnic Institute
Paul B. Crilly
University of Tennessee
Janet C. Rutledge
University of Maryland at Baltimore
Acadexas Stuvia | Page 1 of 423
, STUDY NOTES & REFERENCE GUIDE
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
Acadexas Stuvia | Page 2 of 423
, STUDY NOTES & REFERENCE GUIDE
Chapter 2
2.1-1
Ae j
T0/2 Ae n =m
cn =
f
+e=Ae j2p ( m−n )f 0t
jf dt
sinc(m − n) =
jf
T0 − T0 /2
0 otherwise
2.1-2
c0 v(t) =0
T 2p nt T0 /2 2p nt 2A pn
2
c = dt =
+ Acos dt (− A)cos sin
T0
n
0 T T /4
0
T pn 2
0 0
n 0 1 2 3 4 5 6 7
cn 0 2A/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 = 2
At 2p nt A A
T /2
0
n
T 0
A −
T
cos 0 dt = sinp n − (cosp n −1)
0 T pn (p n)2
0
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
=0 =
c Acos (cont.)
2-1
Acadexas Stuvia | Page 3 of 423
, STUDY NOTES & REFERENCE GUIDE
0
T
0 T
0 0
2-2
Acadexas Stuvia | Page 4 of 423
Solutions Manual
to accompany
Communication
Systems
An Introduction to Signals and Noise
inElectrical Communication
Fourth Edition
A. Bruce Carlson
Rensselaer Polytechnic Institute
Paul B. Crilly
University of Tennessee
Janet C. Rutledge
University of Maryland at Baltimore
Acadexas Stuvia | Page 1 of 423
, STUDY NOTES & REFERENCE GUIDE
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
Acadexas Stuvia | Page 2 of 423
, STUDY NOTES & REFERENCE GUIDE
Chapter 2
2.1-1
Ae j
T0/2 Ae n =m
cn =
f
+e=Ae j2p ( m−n )f 0t
jf dt
sinc(m − n) =
jf
T0 − T0 /2
0 otherwise
2.1-2
c0 v(t) =0
T 2p nt T0 /2 2p nt 2A pn
2
c = dt =
+ Acos dt (− A)cos sin
T0
n
0 T T /4
0
T pn 2
0 0
n 0 1 2 3 4 5 6 7
cn 0 2A/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 = 2
At 2p nt A A
T /2
0
n
T 0
A −
T
cos 0 dt = sinp n − (cosp n −1)
0 T pn (p n)2
0
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
=0 =
c Acos (cont.)
2-1
Acadexas Stuvia | Page 3 of 423
, STUDY NOTES & REFERENCE GUIDE
0
T
0 T
0 0
2-2
Acadexas Stuvia | Page 4 of 423
