EE640 Spring 2012 Class Schedule

Last updated: 4-10-12

Bolded, Underlined, Italic Text is NOT YET UPDATED.

Room

RMS 323

11:00am-12:15pm

11:00am-12:15pm

Month

Tuesday

Thursday

1=January

 

(12) Lecture: Course description, organization. Historical perspective of probability and Stochastics

1

(17) Lecture: Set Theory, Sets & Conditional Prob.

(19) Lecture: Combinatorial Probability, binomial and bernoulli distributions

V1: MATLAB VISUALIZATION Form 4 images, each is 256x256. The first matrix is a filled with values from a uniform distribution U(0,1). The second is a binarized matrix from the first with the threshold at 0.5 value. The third matrix is binarized from the first with a threshold 0.20 and the fourth matrix is a Gaussian distribution with mean 0 and variance 1.

 

HW#1A Due: Prob. Set theory, 2.2, 2.3, 2.5 w/conditional prob.

 

Problems of interest: 2.1,2.2, 2.3,2.4,2.5

1

(24) Lecture: random variables, pdf and cdf. Gaussian and uniform r.v.

 

HW#1B Due: 2.6, 2.10, 2.12

 

Problems of interest: 2.6,2.7,2.8, 2.9, 2.10, 2.11, 2.12

(26) Lecture: Expected Value, Continuous r.v., dirac delta function, conditional, joint and marginal.

 

2

(31) Lecture: characteristic function and moment generating.

 

HW #2A Due: 2.13, 2.16, 2.17

 

Problems of interest 2.13, 2.14, 2.15, 2.16, 2.17, 2.18

(2) Lecture: Multivariate Gaussian Random vectors, mean vector, covariance matrix and function of one random variable.

 

HW #2B 2.22,2.24, 2.27

V2: On website

 

Problems of interest 2.19, 2.20, 2.22, 2.23, 2.25, 2.27, 2.28

2=February

(7) Lecture: Bivariate Gaussian and correlation coefficient.

 

HW #3A: 2.29,  2.30, 2.31

 

Problems of interest 2.29, 2.30, 2.31, 2.32

(9) Lecture: Functions of more than one r.v. Functions of more than one r.v. continuded. Jacobian and auxillary variables.

 

HW #3B 2.34, 2.35, 2.36

V3: See EE640 2012 website

 

Problems of interest 2.33, 2.34,2.35,2.36,2.39,2.41

2

(14) Lecture: Functions of more than one r.v. Central Limit Theorem. Lecture: Random Process Introduction.

 

HW #4A Due: 2.42, 2.43, 2.44.

 

Problems of interest 2.42, 2.43, 2.44, 2.45, 2.46, 2.47

(16) Lecture: Bounds and convergence. Random Process Statistics, types of R.P. types of stationarity.

 

HW #4B Due: 2.46, 2.47. 

V4: See ee640 Web page

2

(21) Quantization noise model.

(23) Lecture: Wiener-Kitchene Theorem, PSD and cross-cov, cross-correlation. Stochastic differentiation and integration.

 

HW #5A: 2.48, 2.50, 2.51

 

Problems of interest 2.48, 2.49, 2.50, 2.51

3

(28 )  Review for Exam

 

Project 1A, part A.1

HW #5B: 2.55 l.i.m. convergenc, 2.59, 2.62.

V5: See website (to be announced)

 

Problems of interest 2.55, 2.56, 2.57,2.58, 2.59, 2.62

(1) EXAM I : covers chapter 2, open book, open notes, NO communication devices.

3=March

Midterm

(6)  Lecture: Stochastic Integration and Differentiation, Linear Systems

 

HW #6A: 3.3, 3.5, 3.6

Problems of interest 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9,3.10

(8) Lecture: Stochastic Series, KL,  Expansion.

 

HW# 6B: 3.12, 3.13,3.15

 

Project 1A, part A.2

 

Problems of interest 3.11, 3.12, 3.13, 3.14, 3.15

 

3

(13) SPRING BREAK

(15) SPRING BREAK

3

(20)  Lecture:  Lecture: Binary Hypothesis Lecture: Maximum Likelihood Ratio, discussion of next visualization. Fisher Discriminant

 

 

(22)

 

HW# 7A: 3.17, 3.19, 3.23.

 

Problems of interest  3.16, 3.17, 3.18, 3.19, 3.21, 3.23, 3.24

3

(27)

 

HW# 7B: 3.41, 3.43, 3.45 .

 

Visualization 7: Correlation Detection in Additive Non-Stationary Colored Noise.

  

Problems of interest: 3.41, 3.43, 3.45, 3.46

(29) Lecture:

 

 

4=April

(3)  EXAM II.

Covers graded HW up to this date, mostly chapter 3, open book, open notes, NO communication devices.

(5)

Project 1A, part A.3

4

(10) Lecture:

 

HW #8A: 4.3, 4.4, 4.12

 

 

Problems of interest: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.8, 4.9, 4.12, 4.14, 4.17, 4.18, 4.20

(12)

Lecture:

 

HW #8B: 4.14, 4.18, 4.20

 

Due: Project 1B

 

4

(17)  Binary Detector and orthogonal decision space

 

HW #9A: 6.3, 6.7, 6.11

 

Problems of interest: 6.1, 6.2, 6.3, 6.4, 6.6, 6.8,6.10, 6.11, 6.12, 6.14, 6.18, 6.19, 6.20

(19)  EXAM III: covers material not on Exam I & II and up to graded HW as well as specified problem set. Open Book, Open Notes, closed Comm. Devices.

 

HW#9B: 6.12 ROC, 6.14 minimum Probability of error, 6.19 M-ary MPE.

4. Dead Week

(24)

Project 1C: Due

 

 

(26)

 

HW#10: 7-8, 7-10, 7-40 Wiener

 

Problems of interest:7-6, 7-8, 7-10,7-36,7-40, 7-41

5. Finals Week

(1) Monday everything is due: (4)

 

 

(May 3)