EE226: Random Processes in Systems
Fall06
Problem Set 2 Due Sept, 21
Lecturer: Jean C. Walrand GSI: Assane Gueye
This problem set essentially reviews notions of conditional expectation, conditional distribution, and Jointly Gaussian random variables. Not
EE226: Random Processes in Systems
Fall06
Problem Set 2 Due Sept, 21
Lecturer: Jean C. Walrand GSI: Assane Gueye
This problem set essentially reviews notions of conditional expectation, conditional distribution, and Jointly Gaussian random variables. Not
VS 298: Neural Computation
Due: 23 September 2006
Problem Set 2 Solutions
Professor: Bruno Olshausen GSI: Amir Khosrowshahi
Instructions for grading
The value of each problem is indicated in the header. Grade each problem rounded to the nearest 0.25 and m
VS 298: Neural Computation
Due: 28 October 2008
Problem Set 6
Professor: Bruno Olshausen The questions are worth: 1) 3 points, 2) 3 points, 3) 2 points. Attached are two excellent solution sets by your classmates, Nima Noorshams and Libery Hamilton. GSI:
VS 298: Neural Computation
Due: 2 October 2008
Problem Set 3 Solutions
Professor: Bruno Olshausen GSI: Amir Khosrowshahi
This solution set was provided by students Hania Kver and Jack Culpepper from when this class o was taught a prior year. Please see ac
VS 298: Neural Computation
Due: 21 October 2008
Problem Set 5
Professor: Bruno Olshausen GSI: Amir Khosrowshahi
Problem 1: Self-organizing maps (3 points)
The areas where theres a scotoma get weights of zero; the areas of overstimulation get more neurons
VS 298: Neural Computation
Due: 14 October 2008
Problem Set 4
Professor: Bruno Olshausen The two questions were worth 3 points each. On many of your homeworks, I commented that for problem 2, reconstruct an image from the set of learned features meant to
Solution: Problem Set 10
EECS123: Digital Signal Processing
Prof. Ramchandran
Spring 2008
1.
2.
1
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s=
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1 j p
The above has a magnitude of 1 and
Problem Set 9 Solutions
EE123: Digital Signal Processing
1. From Figure 1 below, we see that the DTFT of the windowed sequence approaches the actual
DTFT as the window size increases. Gibbs phenomenon is absent for large enough L, since
the sequence an de
Problem Set 8 Solutions
EE123: Digital Signal Processing
1. Note: Deduct 1/2 point if you got the correct answer but you did not attach the MATLAB
code OR any explanation.
(a) For this part, since we know there are only two unknown frequency exponentials.
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Department of EECS - University of California at Berkeley
EECS 226A - Random Processes in Systems - Fall 2006
Final: 12/14/2006
Name (Last, First) and SID:
1. (10%) Let X and Y be two independent random variables. Let V = 1cfw_X x1 , Y y1
and W = 1cfw_X
EE226: Random Processes in Systems
Fall06
Problem Set 1 Due Sept, 14
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set reviews some notions that are important for EE226. Not all exercises
are to be turned in. Only those with the sign
are due on
EE226: Random Processes in Systems
Fall06
Problem Set 1 Sept, 14
Lecturer: Jean C. Walrand GSI: Assane Gueye
This problem set essentially reviews notions of conditional expectation, conditional distribution, and Jointly Gaussian random variables. Not all
Department of EECS - University of California at Berkeley
EECS 226A - Random Processes in Systems - Fall 2006
Midterm 2: 11/02/2006
SOLUTIONS
Recall: Wiener lter and Kalman lter solutions.
Wiener Filter
x(n) and y (n) are WSS and Sy (f ) and Sxy (f ) are
EE226: Random Processes in Systems
Fall06
Problem Set 6 Due November, 2
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews properties of random process, the Wiener Filter, and
Markov chains. Not all exercises are to be turned
EE226: Random Processes in Systems
Fall06
Problem Set 5 Due Oct, 19
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews estimation theory and the Kalman lter. Not all
exercises are to be turned in. Only those with the sign
are
EE226: Random Processes in Systems
Fall06
Problem Set 4 Due Oct, 12
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews detection theory and hypothesis testing and some
basic notions of estimation theory. Not all exercises are
EE226: Random Processes in Systems
Fall06
Problem Set 3 Due Oct, 5
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews detection theory. Not all exercises are to be turned
in. Only those with the sign
are due on Thursday, Octo
EE226: Random Processes in Systems
Fall06
Problem Set 8 Due November, 28
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews notions of Poisson Processes and continuous time
Markov chains. Not all exercises are to be turned in
EE226: Random Processes in Systems
Fall06
Problem Set 5 Due Oct, 24
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews estimation theory and the Kalman lter. Not all
exercises are to be turned in. Only those with the sign
are
EE226: Random Processes in Systems
Fall06
Problem Set 4 Due Oct, 12
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews detection theory and hypothesis testing and some
basic notions of estimation theory. Not all exercises are
EE226: Random Processes in Systems
Fall06
Problem Set 3 Due Oct, 5
Lecturer: Jean C. Walrand
GSI: Assane Gueye
This problem set essentially reviews detection theory. Not all exercises are to be turned
in. Only those with the sign
are due on Thursday, Octo