ECE 313, University of Illinois at Urbana-Champaign

ECE 313 Homework, Problem Sets and Solutions

Summer 2013

Homeworks are selected from "Short Answer Questions" in the course notes. The answer of each short answer question is provided at the back of the course notes. You are required to provide detailed solutions.

You must drop your homework into the ECE 313 lockbox (#20) in the Everitt Laboratory basement (east side) by this deadline. Late homeworks will not be accepted without prior permission from the instructor.

All assignments must be submitted stapled if they consist of more than one sheet.

We have quizzes beside homework. Problem sets are posted with solutions. There will be an in-class quiz each week, almost all quizzes will be selected from problem sets provided in that week on the specified date below.

The following information should be clearly written on the right corner of the first papge of each Homework, or on quiz papers:

• NAME AS IT APPEARS ON COMPASS
• NETID
• PROBLEM SET #_ or QUIZ #_

• Homework, Problem sets and Quizes:

### Problem sets and Quizes

• 6.10 Probability space, lec 1
Read until Section 1.2
• 6.11 Probability space, lec 2
Read until Section 1.4
• 6.12 Probability space,lec 3
Read Section 1.5
• 6.13 Discrete R.V, lec 4
Read until Section 2.2
• 6.14 Discrete R.V,
lec 5 lec 6
Read until Section 2.2
Homework 1: all short answer questions in Page 20 Chapter 1, except the last one - section 1.5 problem 1
due: 4pm on 6.19.
Problem set 1 with solutions
Problem set 2 with solutions
Quiz from ps1 and ps2 on 6.14 Quiz 1 and its solution
If you need regrading, attach a page indicating your name, netid, and your regrading reason, to the quiz paper and put it into the dropbox.
• My office hour this week changes to Wed, 3-5pm, 330M EL Lab
• 6.17 Conditional Probability and Independence lec 7-8
Read until Section 2.4
• 6.18 Lecture given by Bruce Hajek
Independence and binomial distribution lec 7-8
Read until Section 2.4
• 6.19 Geometric and Negative Binomial lec 9-11
Read until Section 2.6
• 6.20 Poisson Distribution lec 9-11
Read until Section 2.9
• 6.21 ML Parameter Estimation, Markov and Chebychev inequaliteis lec 9-11
Read until Section 2.11
quiz 2
Homework 2: all short answer questions from Section 2.2 to Section 2.7 in the course notes,except Problem 2 Section 2.5
due: 4pm on 6.26.
Problem set 3 with solutions
Problem set 4 with solutions
Quiz 2 and its solution
Problem set 5 with solutions (No quiz on PS5, it is for the midterm)
• 6.24 Inequaliteis, Bayes Formula lec 12-14
Read Until Sec 2.11
Review session for midterm I: 7pm - 10pm, 1MSEB 119
• 6.25 Binary hypothesis testing, Reliability lec 12-14
Read Until Sec 2.12 midterm 1, 7-8:30pm, 1EVRT 269 Cover all until (include) Sec 2.7 - Poission
• 6.26 Reliability, s-t flow network lec 15-17
Read Until Sec 2.12
homework 2 due
• 6.27 s-t flow network, array code lec 15-17
Read Until Sec 3.1
• 6.28 Continuous-type r.v, CDF lec 15-17
Read Until Sec 3.2
quiz 3 and its solution
Homework 3: all short answer questions from Section 2.8 to Section 2.12 in the course notes
due: 4pm on 7.3.
Problem set 6 with solutions
Quiz 3 and its solution
• 7.1 CDF and Continuous-type r.v lec 15-17
Read Until Sec 3.2
• 7.2 PDF, Uniform r.v. lec 18-20
Read Until Sec 3.4
• 7.3, Exponential r.v lec 18-20
Read Until Sec 3.4
• 7.4, Poisson Process lec 18-20
Read Until Sec 3.5
homework 3 due
• 7.5 Erlang, linear scaling, Guassian lec 21-22
Read Until Sec 3.6
• 7.6 7pm - 10pm, Review session for midterm II, 1EVRT 165
Homework 4: all short answer questions from Section 3.1 to Section 3.5 in the course notes
due: 4pm on 7.10.
Problem set 7 with solutions
Problem set 8 with solutions
Quiz 4 and its solution
Problem set 9 with solutions (No quiz on PS9, it is for midterm II)
• 7.8 Centrial Limit Theorem, Guassian Approx, ML Estimator. lec 21-22
Read Until Sec 3.7
• 7.9 Function of r.v, Random generator, Area Rule. lec 23-25
Read Until Sec 3.8
midterm 2, 7-8:30pm, 1EVRT 269 Cover Sec 1.1 - Sec 3.4 (Exponential r.v.)
• 7.10 Function of r.v, Random generator, Area Rule. lec 23-25
Read Until Sec 3.8
homework 4 due
• 7.11 Failure rate, Binary Hypothesis lec 23-25
Read Until Sec 3.10
• 7.12 Joint CDF, Joint PMF, Joint PDF lec 26-28
Read Until Sec 4.4
Quiz 5 and its solution
Homework 5: all short answer questions from Section 3.6 to Section 3.10 in the course notes
due: 4pm on 7.17.
No problem set this week. The quiz problem will be similar to one of problem from Homework 4.
Quiz 5 and its solution
• 7.15 Joint CDF, Joint PMF, Joint PDF lec 26-28
Read Until Sec 4.4
• 7.16 Joint PDF, Independence of r.v lec 26-28
Sec 4.4
• 7.17 Independence of r.v. Sum of r.v. lec 26-28
Sec 4.5
homework 5 due
• 7.18 Sum of r.v. lec 29-31
Sec 4.6
• 7.19 Sum of r.v. lec 29-31
Sec 4.6
quiz 6
Homework 6: all short answer questions from Section 4.1 to Section 4.6 in the course notes
due: 4pm on 7.24.
Problem set 11 with solutions
Problem set 12 with solutions
Quiz 6 and its solution
• 7.22 no class
• 7.23 no class
• 7.24 Joint Pdf of functions of r.v. lec 32-34
Sec 4.7
homework 6 due
midterm 3, 7-8:30pm, 1EVRT 269: Chapter 3 + 4.1,4.2,4.3
• 7.25 Moments, Variance of Joint r.v. lec 32-34
Sec 4.8
• 7.26 MMSE Estimator lec 32-34
Sec 4.9
quiz 7
Homework 7: all short answer questions from Section 4.7 to Section 4.11 in the course notes
due: 4pm on 8.2.
Problem set 13 with solutions
Problem set 14 with solutions
Quiz 7 and its solution
• 7.29 Law of large numbers, Centrial Limit Theorem lec 35-37
Sec 4.10
• 7.30 Joint Gussian Distribution lec 35-37
Sec 4.11
• 7.31 Joint Gussian Distribution lec 35-37
Sec 4.11
• 8.1 Joint Gussian Distribution
• 8.2 no class
homework 7 due
• 8.3, Final
Problem set 15 with solutions
Problem set 16 with solutions
No Quiz, it is for your personal interest.