H.w.#4
1' Bale/mime 1L4: gawe/ -Pffs agcd VA- gawL % 7LA
Ugpwj 0&th 79? WWW-Xv: SIW5_
(a) (LA/oi regewr )
3. - Egnipnte the Funnier u'ansform of each of the fol'lwing signalst ' '
a .2cu cos cooling), :1 > O (b) e"3r 5:1an
1+' COS 171. M E 1 . A CC) g (
Fundamentals of Communication Theory (BE 3404) March 3, 2011
Polytechnic Institute of NYU, Spring 2011 Due: March 11, 2011 (5 pm by email)
Instructor: Dr. Elm Erkip
Homework #5
Please emaél your scanned frameworks to [email protected] by March 11,
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
February 24, 2011
Due: March 2, 2011 (in class)
Homework #4
1. Problem 3.24
2. Problem 3.26
3. Problem 3.30
4. Problem 3.34
5. Problem 3.41
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #4
1. Problem 3.24
f
1
1) Since F [sinc(400t)] = 400 ( 400 ), the bandwidth of the message signal is W = 200
and the
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
February 3, 2011
Due: February 16, 2011 (in class)
Homework #2
1. Problem 3.1
2. Problem 3.2
3. Problem 3.3
4. Problem 3.11
5. Problem 3.12
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
January 31, 2011
Due: February 7, 2011, 5 pm
Homework #1
Please e-mail your scanned homework to both TAs
([email protected], yliu20@
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #10
1. Problem 9.22
The codewords of the linear code of Example 9.5.1 are
c1
c2
c3
c4
=
=
=
=
[
[
[
[
0
1
0
1
0
0
1
1
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #7
1. Problem 6.2-2
(a) 2 15 = 30 kHz
(b) 65536 = 216 , so 16 digits are needed for each sample.
(c) 30000 16 = 48000
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #5
1. Problem 4.3
Let us denote by X the event that a car is of brand X, and by R the event that a car
needs repair d
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #3
1. Problem 3.7
1) The spectrum of u(t) is
U (f ) =
20
[ (f fc ) + (f + fc )]
2
2
+ [ (f fc 1500) + (f fc + 1500)
4
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2010
Instructor: Dr. Elza Erkip
Solutions to Homework #2
1. Problem 3.1
The modulated signal is
u(t) = m(t)c(t) = Am(t) cos(2 4 103 t)
[
]
200
250
= A 2 cos(2
t) + 4 sin(2
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #6
1. Problem 4.35
mX (t) = E [A + Bt] = E [A] + E [B ]t = 0
where the last equality follows from the fact that A, B
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
March 10, 2011
Due: March 23, 2011 (in class)
Homework #6
1. Problem 4.35
2. Problem 4.44 (For Part 2, instead of Is X (t) stationary? Is i
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
March 31, 2011
Due: April 6, 2011 (in class)
Homework #7
1. Problem 6.2.2 from Lathi
2. Problem 6.2.3 from Lathi
3. Problem 6.2.4 from Lath
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
April 13, 2011
Quiz #3
Total Time: 40 minutes
Closed book/notes. Calculators allowed (you cannot use your cell phones calculator).
Consider
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
March 9, 2011
Quiz #2
Consider the signal x(t) = 3cos(60000t + 5000
t
sinc2 (200 )d ).
1. Find the instantaneous phase i (t) and the instan
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
April 1, 2011
Midterm
Closed book/notes, no calculators/no electronics
Time: 2.5 hours
1. (30 pts) Consider a USB-SSB AM modulator with car
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
April 27, 2011
Due: May 4, 2011 (5 pm, by e-mail)
Homework #10
Please e-mail your scanned homeworks to [email protected] by May 4, 5 pm
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #9
1. Problem 7.10
Since the rate of transmission is R = 105 bits/sec, the bit interval Tb is 105 sec. The
probabilit
Fundamentals of Communication Theory (EE 3404)
April 8, 2011
Polytechnic Institute of NYU, Spring 2010
Due: April 15, 2011 (beginning of Lab)
Instructor: Dr. Elza Erkip
Homework #8
1. Problem 7.8
2. Problem 7.42
3. Problem 7.43
4. Problem 7.46
5. Consider
Fundamentals of Communication Theory (EE 3404)
Polytechnic Institute of NYU, Spring 2011
Instructor: Dr. Elza Erkip
Solutions to Homework #8
1. Problem 7.10
Since the rate of transmission is R = 105 bits/sec, the bit interval Tb is 105 sec. The
probabilit