Homework Assignments


Homework 1

Lee and Varaiya: Please review chapters 5,7,8,9,10 in Lee and Varaiya within the next two weeks, with a particular emphasis on 5-8 by next week.

Solutions 1

5.14-15, 5.16, 7.7, 7.8, 7.9, 7.11, 8.18

Homework 2 (Due Thurs, Sept 11)

Lee and Varaiya: Next week, in lecture we will continue the review of material on LTI systems. We will explore the basic properties of LTI systems with a particular emphasis on how the complex exponentials are eigenfunctions for LTI systems. This will mostly be a review, but in order to emphasize the key insight here, I will also introduce LTI systems for "finite signals" (signals on a finite domain like Z_m) and show that these are a representable by a special kind of matrix.

Solutions

8.15-17 8.18 8.21 8.8,10,12 9.10 9.12 9.6 (a-d) 9.6 (d-f), 9.9 (a-b) 9.9 (c-g)

Homework 3

Homework problems

Solutions

10.2, 10.3 (a-b), 10.3b plots, 10.5, Solutions.

Homework 4

Homework problems

Solutions

10.11-13, 10.14-15, Solutions.

Midterm

Midterm 1 (in-class): Please go over this on your own and try to see how you did before looking at the solutions.

Solutions

p1 p2 p3 p4 p5 p6 p7 p8

Homework 5

Homework problems Due date was extended to Oct 17th.

Solutions

OWN 8.35 OWN 8.35-37 OWN 8.37-41 OWN 8.41 10.16 11.4-6 Problem 5.4

Homework 6

Homework problems

Solutions

OWN 7.41, OWN 7.42, OWN 7.44a, OWN 8.7.44b-d
6.3a-c, 6.3d, 6.3e, 6.3f (part 1), 6.3f (part 2), 6.3g

Homework 7

Homework problems Due Date Extended to Nov 4th

Solutions

OWN 7.52ab, OWN 7.52c, OWN 8.36, OWN 8.38, OWN 8.42, 7.3a, 7.3b, 7.3c-d

Midterm 2

Take a relaxed look at the second midterm and try to solve the problems in groups or on your own. This is not due.

Solutions

1a, 1b part 1, 1b part 2, 1c,
2a, 2b, 2c,
3a, 3b, 3c
The solutions above were done by Prof. Sahai during the midterm time slot while students were working on it. If you find an error, notify him for extra credit.

Homework 8

Lee and Varaiya Problems: Due Nov 13
Chapter 12: 3, 7, 9, 11, 12, 15
Chapter 13: 6

Solutions

12.3, 7, 9, 11, 12, 15, 13.6.

Homework 9

Lee and Varaiya Problems: Due Nov 20
Chapter 13: 8, 9, 11, 14, 15, 19

Solutions

13.8, 9, 11, 14, 15, 19.

Homework 10

Lee and Varaiya Problems: Due Dec 2
Chapter 13: 21, 22
Chapter 14: 5, 6, 7, 10

Solutions

13: 21,22ab, cd
14: 5, 6, 7abcde, fg,10

Practice Final

This is a practice. It includes the cheat sheet on the front page. The exam is closed book and closed notes.

Solutions

1a, 1b, 1c, 1d, 2a, 2b, 2c, 3a (plots), 3b, 3c (comment)

Actual Final

As you will see, this exam had many parts that were in fact given to you in exams and practices before. The one question that was entirely different (problem 2), is closely related to 7.41 in OWN assigned earlier. The part that was entirely new was 3c, and even this was related to the problems on sine and cosine modulation given in homework.

Solutions

Find and correct any error in here for your last shot at extra credit!

1a, 1b, 1c,
2a, 2b, 2c, 2d, 2e, 2f, (comment)
3a, 3b, 3c