ECE 351S

<title> ECE 351S </title>
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ECE 351S <br>
Probability and Random Processes 
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<P>This page  provides some general information
about the course <B>Probability and Random Processes  </B>
and  facilitates access
to electronic versions of some of the assignments  and their solutions.
 The information on this page will be continuously updated as
we progress through the semester, so keep checking the contents. 
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<p>
<a href="info.ps"> Course Information
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<ul>
<li>Problem Set #1. Ch.1; 1, 2, 3  Ch.2; 2, 4, 5, 8, 18.

<li>Problem Set #2. Ch.2; 31, 32, 34, 35, 36, 37, 41, 45. 

<li>Problem Set #3. Ch.2; 49, 52, 57, 59, 62, 63, 64, 70.

<li>Problem Set #4. Ch.3; 2--5, 7, 10, 14, 17, 19--21, 28.

<li>Problem Set #5. Ch.3; 32, 34, 37, 45, 51, 54, 57, 112, 126.

<li>Problem Set #6. Ch.3; 65, 66, 76, 80, 82, 88, 90. 

<li>Problem Set #7. Ch.4; 1,3--5, 9--11, 14 

<li>Problem Set #8. Ch.4; 20--24, 31, 32, 35

<li>Problem Set #9. Ch.4; 48,49,51,59,61,67,78,89(a),92

<li>Problem Set #10. Ch.5; 1, 3, 8, 9, 16, 17, 23

<li>Problem Set #11. Ch.6; 2, 4, 11, 25(a), 31, 50, 79.

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Approximate Schedule of Topics: 
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<li> The Book sections, which approximately cover my lectures, are 
indicated below. 
<li>Week 1:  Experiments, Models, Set theory, Probability axioms, Counting
(ch.1--2.3)
<li>Week 2:  Counting, Conditional Probability (ch.2.3-2.4)
<li>Week 3:  Bayes' Theorem, Independence, Sequential Expts.(ch.2.5-2.6) 
<li>Week 4:  Random variable(RV), Bernoulli to Gaussian.(3.1-3.4)
<li>Week 5:  Function of a RV. Expectation, Moments (3.5-3.6)
<li>Week 6:  Moments,  Transforms, Random Vectors, Joint CDF's(3.6,7,9)
<li>Week 7:  Reading Week
<li>Week 8:  CDF's,Independence, Conditional Probability and 
Expectation (ch.4.1-4.5) 
<li>Week 9:  Functions of Two RV's and their Expectation, Jointly Gaussian 
RV's(ch.4.6-4.8)
<li>Week 10: Mean Square Estimation, Sums Of Random 
Variables(ch.4.9,5.1,5.2) 
<li>Week 11: Central Limit Theorem,Random Process; Types, 
Moments(5.3,5.5,ch.6.1--6.2) 
<li>Week 12: Discrete-time and Continuous-time Random 
Processes(ch.6.3--6.4)
<li>Week 13: Stationary Processes (ch.6.5)
<li>Week 14: Power Spectrum, Ergodic Process (ch.7.1,7.2,6.7)  
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