h26564 s 00003/00000/00334 d D 1.33 24/10/03 22:22:53 bevans 33 32 c Updated e s 00003/00001/00331 d D 1.32 24/10/01 12:58:02 bevans 32 31 c Updated e s 00003/00003/00329 d D 1.31 24/09/03 23:29:21 bevans 31 30 c Udpated e s 00002/00005/00330 d D 1.30 24/08/27 13:31:03 bevans 30 29 c Ipdated e s 00001/00001/00334 d D 1.29 24/08/27 13:29:38 bevans 29 28 c Updated e s 00001/00002/00334 d D 1.28 23/10/01 23:25:06 bevans 28 27 c Updated e s 00004/00000/00332 d D 1.27 23/09/26 14:19:45 bevans 27 26 c Updated e s 00004/00000/00328 d D 1.26 23/09/21 22:57:49 bevans 26 25 c Updated e s 00043/00034/00285 d D 1.25 23/09/21 22:36:16 bevans 25 24 c Updated e s 00002/00001/00317 d D 1.24 23/09/20 22:10:15 bevans 24 23 c Updated e s 00009/00007/00309 d D 1.23 23/09/13 09:37:24 bevans 23 22 c Updated e s 00003/00003/00313 d D 1.22 23/09/13 07:38:05 bevans 22 21 c Updated e s 00003/00000/00313 d D 1.21 21/10/01 22:15:18 bevans 21 20 c Updated e s 00001/00001/00312 d D 1.20 21/09/25 15:04:48 bevans 20 19 c Updated e s 00016/00004/00297 d D 1.19 21/09/25 14:43:41 bevans 19 18 c Updated e s 00003/00009/00298 d D 1.18 21/05/28 11:07:01 bevans 18 17 c Updated e s 00001/00001/00306 d D 1.17 18/10/08 01:13:56 bevans 17 16 c Updated e s 00004/00001/00303 d D 1.16 18/10/07 13:04:32 bevans 16 15 c Updated e s 00001/00000/00303 d D 1.15 18/10/05 22:38:50 bevans 15 14 c Updated e s 00007/00002/00296 d D 1.14 18/09/28 00:12:57 bevans 14 13 c Updated e s 00005/00001/00293 d D 1.13 18/09/23 17:34:04 bevans 13 12 c Updated e s 00002/00002/00292 d D 1.12 18/06/07 15:04:23 bevans 12 11 c Updated e s 00002/00010/00292 d D 1.11 18/06/07 15:03:03 bevans 11 10 c Updaated e s 00001/00001/00301 d D 1.10 18/06/03 23:51:15 bevans 10 9 c Updatged e s 00002/00001/00300 d D 1.9 17/12/21 00:42:37 bevans 9 8 c Updated e s 00001/00001/00300 d D 1.8 17/11/15 18:05:44 bevans 8 7 c Updated e s 00003/00000/00298 d D 1.7 17/10/05 15:02:57 bevans 7 6 c Updated e s 00057/00024/00241 d D 1.6 17/09/29 20:47:03 bevans 6 5 c Updated e s 00002/00003/00263 d D 1.5 17/09/23 11:58:43 bevans 5 4 c Updatead e s 00003/00003/00263 d D 1.4 17/09/23 11:55:18 bevans 4 3 c Updated e s 00020/00022/00246 d D 1.3 17/09/23 11:52:20 bevans 3 2 c Updated e s 00002/00000/00266 d D 1.2 17/07/08 16:16:30 bevans 2 1 c Updated e s 00266/00000/00000 d D 1.1 17/07/08 16:11:08 bevans 1 0 c date and time created 17/07/08 16:11:08 by bevans e u U f i f e 0 t T I 1 EE313 Linear Systems and Signals - Midterm #1

EE313 Linear Systems and Signals - Midterm #1

I 26 D 29 Midterm #1 will be on Tuesday, Sep. 26th, during lecture time (11:00am to 12:15pm). E 29 I 29 Midterm #1 will be on Thursday, Oct. 3, 2024, during lecture time (11:00am to 12:15pm). E 29

E 26 D 25 Each midterm exam will be an open book, open notes, open laptop exam D 19 that is scheduled to last the entire period. E 19 I 19 that is scheduled to last the entire lecture period (11:00am-12:15pm). E 19 The laptop must have all external networking connections disabled. Because each midterm is an open book, notes and laptop exam, you'll likely need to move quickly through the exam but also need to think deeply about possible ways to solve the problems. To this end, having a week of regular sleep, eating, and exercise will be very helpful. E 25 I 25 Open book, open notes, and open laptop exam. Because each midterm is an open book, open notes and open laptop exam, you'll likely need to move quickly through the exam at times, and at other times, you'll need to think critically about how to solve a problem. To this end, having regular sleep, eating, and exercise will be very helpful. In other words, cramming for the exam the night before will likely leave you a bit tired and groggy during the exam. You'll want to have a rested mind for the exam. E 25

I 19 D 25 Please download in advance of the midterm exam a D 20 zip archive of the course Canvas site E 20 I 20 zip archive of the course Canvas site I 24 (available on Saturday, Sep. 23, 2023) E 24 E 20 which includes the lecture slides, marker board pictures, handouts, homework assignments and solutions, and previous tests and their solutions. By placing the files on your laptop in advance, you can search the files for keywords when taking practice tests and the actual midterm exam. E 25 I 25 Zip archive of the Canvas course site. On Sunday, I'll provide a zip archive of the course Canvas site (1 GB). Please download and extract the archive on your laptop. That will allow you to search the course content on your laptop during the exam because access to the Internet will not be allowed during the exam. E 25

E 19 D 11 Midterm #1 for the Fall 2017 semester will be on Thursday, Oct. 5th, D 3 during lecture time (12:30pm to 2:00pm) but in a room TBA. With 60 students in the class, you should have several empty E 3 I 3 during lecture time (12:30pm to 2:00pm) but in the following rooms:

WRW 102 seats 123, and EER 1.516 seats 122. D 4 WRW is the Aerospace Engineering Bldg. E 4 I 4 (WRW is the Aerospace Engineering Bldg.) E 4 With 64 students in the class, you should have several empty E 3 seats or an aisle on either side of you. E 11 I 11 D 12 Midterm #1 for the Spring 2018 semester will be on Thursday, Oct. 4th, during lecture time (12:30pm to 2:00pm) but in a larger room TBA. E 12 I 12 D 18 Midterm #1 for the Fall 2018 semester will be on Thursday, Oct. 4th, D 13 during lecture time (12:30pm to 1:45pm) but in a larger room TBA. E 13 I 13 during lecture time (12:30pm to 1:45pm) but in larger rooms. E 18 I 18 D 22 Midterm #1 for the Fall 2021 semester will be on Thursday, Sep. 30th, D 19 during lecture time (11:00am to 12:30pm) in the lecture room (EER 1.516). EER 1.516 seats 122 and enrollment is 36 students. E 19 I 19 during lecture time (11:00am to 12:15pm) in the lecture room (EER 1.516). EER 1.516 seats 122 and enrollment is 33 students. E 22 I 22 D 23 Midterm #1 for the Fall 2021 semester will be on Tuesday, Sep. 26th, during lecture time (11:00am to 12:15pm) in Midterm #1 will take place in GLT 5.104 which has 150 seats for our 45 students in the class. E 22 E 19 E 18 E 13 E 12 E 11 The extra space will help you be more comfortable to arrange your books, notes, and laptop for the midterm exam. I 19 Please leave at least two empty seats or an aisle on your left and right. E 23 I 23 D 25 Midterm #1 for the Fall 2023 semester will be on Tuesday, Sep. 26th, during lecture time (11:00am to 12:15pm) in GLT 5.104. D 24 This classroom seats 150 and 45 students are in the class. E 24 I 24 This classroom seats 150, and there are 45 students are in the class. E 24 The extra space will help you be more comfortable to arrange your books, notes, and laptop for the midterm exam. Please leave at least two empty seats or an aisle on your left and right. GLT is the new Gary L. Thomas Energy building immediately to the South of the EER Building. E 25 I 25 Studying for the midterm exam. One approach is to work through the homework and mini-project #1 assignments, and then take the blank version of midterm #1 from the last time I had taught ECE 313 in Fall 2021. Use the solution set to help diagnose where you need to reinforcement your knowledge. The solution set has pointers to slides and book sections for more information about that particular problem. In addition, the online companion site for the Signal Processing First textbook has hundreds of worked problems. Chapters 2-4 of DSP First cover identical material as chapters 2-4 of Signal Processing First. You can access the homework problems and their solutions via the Homework menu at the top of the Web page, or by using the Homework link in the supplemental material for each chapter. Once you've reinforced your knowledge, take the midterm #1 exam from fall 2018 and possibly fall 2017. I redesigned my approach to this course for the fall 2017 offering. E 25 E 23 E 19 I 13 D 18 You will be assigned to one of the following rooms shortly: D 14 EER 1.504 (64 seats), EERC 1.516 (122 seats), and EER 1.528 (64 seats). E 14 I 14 E 14 D 16 Currently, 75 students are enrolled. E 16 I 16 Currently, 74 students are enrolled. E 18 E 16 E 13 I 25

E 25 I 23 I 25 Classroom for the midterm exam. D 30 GLT 5.104 seats 150, and there are 45 students are in the class. E 30 I 30 D 31 Room is to be announced. Please leave at least two empty seats or an aisle on your left and right. E 30 The extra space will help you be more comfortable to arrange your books, notes, E 31 I 31 The exam will be in UTC 1.102 and UTC 1.130. Please leave one empty seat or an aisle on your left and right. The space will help you be more comfortable to arrange your books, notes, E 31 and laptop for the midterm exam. D 30 Please leave at least two empty seats or an aisle on your left and right. GLT is the new Gary L. Thomas Energy building immediately to the South of the EER Building. E 30 E 25 E 23 I 6

Coverage

For midterm #1 in EE 313, you will be responsible for the following sections of the Signal Processing First book by McClellan, Schafer and Yoder:

You will also be responsible for the material in

There will likely be five questions on Midterm #1. There will be no questions about Matlab commands or syntax on the midterm. I 19 That said, you are welcome to use Matlab as a way to check certain answers. E 19 D 25

The Web site that accompanies the Signal Processing First book has dozens of worked homework problems from chapters 2-4 of DSP First. Chapters 2-4 of DSP First cover identical material as chapters 2-4 of Signal Processing First. You can access the homework problems and their solutions via the Homework menu at the top of the Web page, or by using the Homework link in the supplemental material for each chapter. E 25 E 6

Previous Tests

Here are several example midterm #1 exams: D 6

Coverage

For midterm #1 in EE 313, you will be responsible for the following sections of the Signal Processing First book by McClellan, Schafer and Yoder: E 6

D 3 You will also be responsible for the material covered in homework assignments 1-4 and the solution sets for those homework assignments. E 3 I 3 D 6 You will also be responsible for the material in E 3 E 6 I 6 Here are the questions from the previous exams that are related to the material to be covered on midterm #1 this semester: E 6 D 3

In the reader, you will be responsible for E 3

D 3 You are responsible for what I said during lecture and what is on the course Canvas site (e.g. homework hints). E 3 D 6

E 6 I 6 Please note that some of the questions on the blank exams have formatting errors due to the conversion to PDF. In those cases, please refer to the version of the exam with solutions. E 6 D 3 There will likely be 5 or 6 questions on Midterm #1. There will be no questions about either Matlab or Mathematica on the midterm. E 3 I 3 D 6 There will likely be five questions on Midterm #1. There will be no questions about Matlab commands or syntax on the midterm. E 3 E 6

Hints on Sample Quiz #1 from Fall 1999

Problem 1: The differential equation has a double root. The form of the solution is C1 e-t + C2 t e-t.

Problem 2: You can solve this problem with using only one addition (1+1) and one multiplication (1 times 1).

(a) Ideas used in finding the answer without doing any calculations:

The answer is a triangle that starts at t = 0 and ends at t = 2. The maximum value of 1 occurs at t = 1.

(b) Ideas used to find the answer without any calculations:

The convolution is a ramp heading in the negative time direction, i.e., -t u(t).

Problem 3: This problem involves very little math. It is meant to test concepts. (As a side note: if the description of a system response involves a summation, it does not necessarily mean that the system is a discrete-time system. Conversely, if a description of a system response involves an integral, it does not necessarily mean that the system is a continuous-time system.)

(a) Finite impulse response

(b) The impulse response is the system response when an impulse is input. Since the system is continuous time, use a Dirac delta functional d(t) for the impulse: x(t) = d(t). So, in the summation for y(t), replace x with d.

(c) The step response is the system response when a step function is input. So, in the summation for y(t), replace x with u.

(d) For N = 3, the step response is

a0 u(t) + a1 u(t - T) + a2 u(t - 2 T)
So, the step response can be described as a piecewise continuous function as follows:

(e) (N - 1) T

Problem 4: The solution to part (b) gets to very tedious. In the future, I would try to not assign a problem this tedious on a midterm.

(a) The characteristic equation is 1 - 3/2 D-1 + K D-2 = 0. So, there are two roots:

(b) The roots need to be inside the unit circle. So, | r0 | < 1 and | r1 | < 1. Solve for K. This is the tedious part. The answer is something like 1/2 < K < 1.

Other Questions

Question 1: What does it mean when it says any combination of characteristic modes can be sustained by the system alone without requiring an external input?

It means that if there are non-zero initial conditions, the system will output a weighted combination of its characteristic modes. That output would be sustained for all time from time 0 to time infinity.

Question 2: I get confused about what types of systems can be used for what types of filters, and i can't really find a specific section in the book about it, can you direct me toward where I might find a better understanding of what systems make what filters and what applications they can have?

This notion will be more clear after we learn more about frequency responses (Laplace and Fourier transforms) in the second part of the course.

As far as midterm #1, we have seen two examples of a lowpass filter (integrator in continuous-time and an averager in discrete-time) and a highpass filter (differentiator in continuous-time and a first-order difference in discrete-time). We have also seen one example of an all-pass filter (homework problem 3.3).

The Mandrill (Baboon) demonstration uses a cascade of a lowpass and a highpass filter, and the cascade has a bandpass response.

I have not presented any examples of bandstop filters yet.

Question 3: Finally, in my differential equations class, we didn't really use the ej t for complex roots, we just made it as sin t + cos t. I'm used to solving it this way, so the book method of using ej t or cos(t + theta) is kind of confusing. Should I use my time to learn this method or would the other way be ok on the test?

In terms of solving a differential equation, what matters is getting the right answer with a mathematically correct method.

In terms of understanding the behavior of systems governed by differential equations, it is important to know how the roots of the characteristic polynomial are mapped into characteristic modes. This is where the elambda t and tk elambda t forms arise.

Last updated %G%. D 5 Send comments to (Mailbox)bevans@ece.utexas.edu E 5 I 5 Send comments to Prof. Brian L. Evans at bevans@ece.utexas.edu. E 5 E 1