Rice University
Instructor
Dr. Rudolf RiediAssistant
Duncan Hall 2025, 713 / 348 3020,
Office Hours: Tuesday 1-2 pm and 5-6 pm, or by appointment
Ramesh Neelamani
Duncan Hall 2121, 713 / 348 3230
Office Hours: Monday 1:45-2:45, 5-6 pm, or by appointmentVinay Keshavan Bharadwaj
Duncan Hall 2047, 713 / 348 2471
Office Hours: Thursday 1-3 pm, or by appointment
Time and Place
Wednesday Friday 9:00 - 10:15 am, AL (Abercrombie Lab) 126
Further suggested readingH. Stark and J. Woods, `Probability, Random Processes, and Estimation Theory for Engineers'.
The course will closely follow this book; it is available at the campus bookstore.
Grading
Stark & Woods, Wond & Hayek, and Papoulis are on reserve
at Fondren Library
15% QUIZ
30% Midterm EXAM
30% Last EXAM
15% Homework
10% Notes and participation in class
Classes
Covered material |
Covered material | Reading: Stark&Woods (1994) | |
August 29 | Orientation, history | |
August 30 | Probability space | pp 1-12 |
September 1 | Borel sets | read ahead: pp 21-28 |
September 6 | Conditional Prob., Bayes, Independence | pp 13-21 |
September 8 | Bernoulli trials, Random variables | pp 28-36, 52-56 |
September 13 | CDF, pdf, functions of one r.v. | pp 56-60, 66-74, 106-122 |
September 15 | Expectation, variance | pp 160-165, 178-180 |
September 20 | Expect. (examples), Joint distributions | pp 74-87 |
September 22 | Joint distributions, Marginals, Independent r.v. | pp 88-92 |
September 25 | Functions of two r.v., Sums and Products | pp 122--140 |
Up to here: Material for Quiz | ||
September 29 | Conditional distribution, discrete | pp 74-81 |
October 4 | Discussion on Quiz, Conditional expectation | pp 170-178 |
October 6 | Cond expect, continuous | pp 170-178 |
October 11 | Correlation, jointly Gaussian r.v. | pp 182-193 |
October 13 | Estimation of r.v. | pp 296-303 |
Fallbreak | ||
October 18 | Characteristic function | pp 204-213, 258-261 |
October 20 | Multivariate Gaussian, Covariance, Inequalities | pp 261-263, 248-258, 194-198 |
October 25 | Conv. of functions (pointwise, uniform ,L2) and r.v. (as, ms) | pp 348-353 |
October 27 | Convergence of r.v. (as, ms, ip, D) | pp 348-357 |
November 1 | Limit theorems (LLN, CLT) | pp 357-362, 213-218 |
From beginning to here: Material for Test 1 | ||
November 3 | Random Processes, basics | pp 318-326, 371-376 |
November 6 | R.P. examples, Auto-correlation, Stationarity | pp 326-336 |
November 8 | Renewal processes, Poisson | pp 376-386 |
November 15 | Poisson, Markov, Gaussian Processes | pp 377-386, 391-396 |
November 17 | Consistency, Brownian motion | pp 330-331, 386-391, 396-399 |
November 22 | Colored noise, Gauss Markov, Spectral density | 391-393, 395-399 |
November 24 | Thanksgiving | |
November 29 | (Cross) Spectral density, mean square continuity | pp 465-472, 419-422 |
December 1 | Mean square calculus, White Noise | pp 422-430 |
From Fallbreak to here: Material for Test 2 | ||
December 6 | Linear Systems with random input | pp 399-404, 433-437 |
December 8 | KL | pp 450-457 |
Homework (tex-source for graders only)
Homework sheet | Due date (in class) | Solutions |
Problem Set 1 [tex] | Sept 13, 2000 | handed out Sept 20 Set 1 [tex] |
Problem Set 2 [tex] | Sept 20, 2000 | handed out Sept 25 Set 2 [tex] |
Problem Set 3 [tex] | Sept 27, 2000 | handed out Sept 29 Set 3 [tex] |
Problem Set 4 [tex] | Oct 13, 2000 | handed out Oct 13 Set 4 [tex] |
Problem Set 5 [tex] | Oct 120, 2000 | handed out Oct 27 Set 5 [tex] |
Problem Set 6 [tex] | Oct 27, 2000 | handed out Nov 1 Set 6 [tex] |
Problem Set 7 [tex] | Nov 3, 2000 | handed out Nov 10: Neelsh |
Problem Set 8 [tex] | Nov 8, 2000 | handed out Nov 10 Set 8 [tex] |
Problem Set 9 [tex] | Nov 29, 2000 | handed out Dec 5 Set 9 [tex] |
Problem Set 10 [tex] | Dec 1, 2000 | handed out Dec 1 Set 10 [tex] |
Homework is due at the beginning of class on the due date. After the due date, but before solutions are handed out, homework can be turned in for 50% credit. In this case, please slip your homework under the door of DH 2025, or DH 2121, or bring it to class. After solutions are handed out, 0% credit will be issued. You are encouraged to work in groups for homeworks but you will hand in your own solution which you are expected to understand.
Quiz (15% towards the grade) | Monday, October 2nd, 9:00 - 9:45 am | (open: only two personal pages ) |
Midterm (30%) | Handed out Nov 10 (Duncan 2121), due Nov 15 midnight. | take home, 3 hours, open notes |
Last Test (30%) | Handed out Dec 1, due Dec 8 noon | take home, 7 days, 4 hours (open books) |