Midterm
Yufei Deng N16857951
1: The second one grows faster.
2: False
3: True
4: ()
5: False
6:
7: Assume the contrary: at most 7 people were born in the same day of the week.
Because
Xi Guo N12701210
Problem Set 5
1. Yes c1=0.7 c2=-0.3 k=2
2. No
3. Assuming the value of 1 coin is 1.
1)
where
,
an an1 an1 an2
a0 1 a1 2
2)
, we can get
,
2
r 2r 1 0
r1 1 2 r2 1 2
The general solution of the recurrence relation is
condition, we can get
,
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 8
Due 15th December 2016
[6]
Exercise 1
1. From the figure, there are 3 http processes started.
2. 1346 is the master ser
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 9
Due 22th December 2016
[ 10 ]
Exercise 1
1. The data type for the MIB object ifMtu.2 is integer, and the maximum value
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 7
Due 8th December 2016
[5]
Exercise 1
(a). Following is the figure of new routing table:
The purpose of adding the entry
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 3
Due 20th October 2016
[ Pages]
Exercise 1
1. The default IP address of the router interface is 128.238.62.2
2. (Extra Q
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 1
Due 6th October 2016
[ Pages]
Exercise 1
Exercise 2
1. The default directory is: /home/guest
2. The working directory i
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 4
Due 10th November 2016
[8]
Exercise 1
1. For packet went from my machine (Hamlet1) to the router:
IP header
Ethernet he
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 2
Due 13th October 2016
[ Pages]
Exercise 1
1. There are 3 interfaces,
interfaces eth0, lo and wlan0.
eth0: Ethernet inte
EL5373
INTERNET ARCHITECTURE AND PROTOCOLS
YUEHAN CAI
N17290298
[email protected]
Workstation: Hamlet1
MAC: f8:0f:41:c4:80:91
Lab Report 5
Due 17th November 2016
[ 11 ]
Exercise 1
1. iperf3 s is the command to start iperf3 as the server at the receiver side,
Some results from Fourier theory and continuous time signals. The Shannon Sampling Theorem.
Recall the Dirac delta function t
f t t dt f 0
f t t t dt f t
0
0
t e
jt
dt 1
Thus we have the Fourier Transform pair
t 1
For regular functions1, we have t
THE DISCRETE FOURIER TRANSFORM (DFT)
Let x(n) be a periodic discrete time signal with period N . The
DFT, X (k ) , of x(n) is defined by
X (k )
N 1
x(n)
e
j
2
kn
N
.
(9.1)
n 0
It is easy to see that the X (k ) sequence calculated in this way is
also a p
EL 6113 Spring 2017
Homework number 3
Problem 1.
Suppose the following recursive equation, iterated forward starting with n 0 and continuing for
n 1, 2,3, , defines the behavior of a system:
1
x n 1]
2
y n y n 1 y[n 2] x n
1. Find H z
2. Find h n
3. Fi
THE DISCRETE TIME FOURIER TRANSFORM (DTFT)
The Discrete-Time Fourier Transform of a signal, x (n ) , is simply
its z-transform evaluated on the unit circle. Thus, given x (n ) , the
DTFT is given by
j
X (e ) =
x(n) e j n
.
(4.1)
n =
Clearly, the DTFT is
1. The response of a linear system with input x n is
y n
n2
x k
k n 3
Find and sketch h n
Solution
Let x n n
Then
h n
n2
k
k n 3
n 3 n 2 n 1 n n 1 n 2
2. Find y n x n h n
if
x n
n kN
k
h n a nU n
a 1
Does the output have an analytic z-transfor
Solution to the second set of Practice Problems
1. Solution
H z h n
h n h n z n
n
h n z n
n
1
h n
z
n
n
n
1
h n
z
n
1
H
z
Notice that if h n is real, then H w H w for any complex w , including w
1
z
the case of a real time sequence we have
1. Let h n H z with ROC r1 z r2 What is the z-transform of h n and what is the
ROC?
2. Let h n H z and define n h n h n . What is P z n ?
3. If the sequence h n is real, and the transform H z is a rational function, show that P z in
Problem 2 is a functio
Some basic results from Fourier transform theory and continuous time signals.
Recall the Dirac delta function
t
f t t dt f 0
f t t t dt f t
0
0
t e
jt
dt 1
Thus we have the Fourier Transform pair
t 1
For regular functions1, we have the Fourier inv
EL6113 Homework 2. Type or write neatly and bring to class.
(Hint: refer to the lecture notes)
Problem 1.
Find the partial fraction expansion of the following function:
F ( z) =
z (3 z + 2)
.
( z 1)( z + 2) 2
Problem 2.
Find the partial fraction expansion
New York University Polytechnic School of Engineering
Electrical and Computer Engineering
Course Outline EL-GY 6113, Digital Signal Processing I
Spring 2016
Professor Gary Lomp
To contact professor: [email protected]
2MTC, Room 9.123
Office hours: By appo