Exam 2
EE 573 Due 3/20/05
Name_
This exam is a take-home exam. You are free to use any resources you desire to
complete it. The only restrictions are that
1. You MUST reference your sources- and be specific (e.g. see equation #.)
2. You are NOT to uses pe
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Homework 6 Spring 2011
EE 573 Due 4/4 (M)
SOLUTION
PROBLEM 1. (30 pts) This problem concerns the situation where one is attempting to
track a sequence of connected straight lines. We will refer to this as: tracking a line with a
time-varying slope. Such
Homework 5
EE 573 Spring 2011
Due 3/7/11 Name_
Problem 1. (45 pts) Consider an observation process that is the sum of a signal that is statistically
independent of the noise. The signal and noise processes are:
Signal: The signal, s t is an AR(2) process
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Homework 4 EE573 Spring 2011 Due 2/28(M) Name_
PROBLEM 1 (20pts) Recall the following result (c.f. Homework 3):
Result 1. Let X , of a zero-mean Gaussian white noise process. Then
1 n 1
S X ( m ) =| Ym | 2 =|
X k e imk |2 for m = 2m / N (for m = 1, , n
Homework 3 Spring 2011 EE 573 Due _
SOLUTION
Problem 1 (20 pts) In monitoring vibration, it is the amplitude that is important. Let X = The act
of recording the vibration of an air-handling compressor in the space shuttle at any arbitrary
time, t. It is b
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Homework 1 (200 pts) AERE 573 Spring 2011 Due 1/21 (Friday) Name_
FORMAT: You are to copy this assignment. The solution to each part MUST be positioned directly beneath that part. Handwritten solutions are acceptable, but not preferred. Hand-plotted gra
Homework 2 Spring 2011 EE 573 Due Friday1/28 Name_
NOTE: For each part of each problem, include a statement of the part, and immediately below it, your
solution to that part. If AT ALL POSSIBLE, use Microsoft WORD, since then I can easily include
comments
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Exam 1
EE 573 Spring 2006
Name_
1. (25 pts). The company Take Better Aim, Inc. advertises that after you take their 6-week
course, your aim in using an AK-47 semi-automatic weapon will improve by at least 25%. Let
(X,Y) be the 2-D random variable corres
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Homework 5
EE 573 Due 3/9 (F)
SOLUTION
PROBLEM 1. (30 pts) This problem concerns the situation where one is attempting to
track a sequence of connected straight lines. We will refer to this as: tracking a line with a
time-varying slope. Such a situation
1
Homework 4 (100pts)
EE 573 Due 2/29 (W) Name_
Problem 1 (30pts) Consider the velocity dynamical system
v (t ) + v (t ) = c f (t ) ; v ( 0 ) = 0 .
(1.1)
(a)(3pts) Obtain the impulse response, h(t ) , associated with (1).
Solution: h(t ) = c e t .
(b)(3pt
Homework 3 (115pts)
EE 573 Due 2/10 (F)
SOLUTION
Problem 1 (35 pts) In monitoring vibration, it is the amplitude that is important. Let X = The act
of recording the vibration of an air-handling compressor in the space shuttle at any arbitrary
time, t. It
Homework 2
AERE 573
DUE 1/30/12
Name_
PROBLEM 1. (20 pts) [Book 1.12] Let X~Uniform[0,2].
(a)(5pts) Sketch the PDF for X.
f X ( x)
Solution: f X ( x) = 0.5 for x [0,2]
0.5
FX ( x) = 1 for x 2
(b)(6pts) Compute the CDF for X, and then sketch it.
Solution:
Homework 1 EE573
Due 1/23 (Mon.)
* SOLUTION *
This homework addresses some of the questions that were discussed during the first week of classes, in relation to:
Example 1. Consider the state signal process AR(1) 1-dimensional process xk +1 = a xk + wk wh
Exam 1
EE 573
Due 2/15 In-Class
SOLUTION
PROBLEM 1.(25 pts) Consider a discrete-time linear system with transfer function
0.94 z 1
Y ( z)
N (z)
= G( z) =
=
(1a)
1
2
W ( z)
D( z )
1 1.64 z + 0.83 z
and corresponding difference equation
y ( k ) = 1.64 y (k
Exam 1 (100 pts)
TAKE-HOME Due 2/14(M) In Class
SOLUTION
PROBLEM 1 (55 pts)
Consider the continuous-time first order system:
Recall that the Laplace transform operation,
x(t ) + x(t ) = f (t ) ; x(0 ) = x0 .
(1)
() applied to any causal function cfw_ y (t