ECE 313H Linear Systems and Signals Honors – Fall 2025 (#18445)



Syllabus

Lecture: Mon/Wed 3-4:30pm (EER 1.516)
Course website: http://users.ece.utexas.edu/~jtamir/ece313hfa25.html

Instructor: Prof. Jon Tamir
E-mail: jtamir@utexas.edu
Office hours: Tuesdays 1-2:30pm and Wedhesdays 10:30-12pm, EER 7.872 and on Zoom

Teaching assistant: Jiachen Wang
E-mail: jiachenwang@utexas.edu
Office hours: Mondays 10:30-12pm and Fridays 4-5:30pm, EER 0.814E
Recitation: Fridays 10-11am on Zoom

Textbooks

The course will follow material from the following two books:
Signals and Systems, 2nd Edition, by Alan V. Oppenheim, Alan S. Willsky, with S. Hamid.

Foundations of Signal Processing, by Martin Vetterli, Jelena Kovacevic, Vivek K Goyal
Online copy available for free here: https://foundationsofsignalprocessing.org

Course Objectives

This course builds a mathematical foundation for analyzing signals and systems in a wide variety of applications, including speech, audio, image, and video processing as well as communications and control systems. Topics include representation of signals and systems, system properties, sampling, Laplace and z-transforms, transfer functions, frequency responses, convolution, stability, Fourier transform, feedback, and control applications, as well as computational analysis using Python. ECE 313 feeds into several ECE specializations, including Data Science and Machine Learning, Energy Systems and Renewable Energy, and Communications, Networks and Systems.

The course will cover: representation of signals and systems; system properties; sampling; Laplace and z-transforms; transfer functions and frequency response; convolution; stability; Fourier transform; feedback; and control applications. Computer analysis using Python.

More than the sum of its parts, the objective of this course is to learn the art of mathematical abstraction and analysis of engineering systems, and to provide you with a set of common tools to practice this art.

Honors Specific ECE 313H Curriculum

ECE 313H is a new and more advanced version of ECE 313. This course will move at a faster pace and expect strong mathematical maturity in calculus and in linear algebra. In addition to written assignments and Python programming, it will also include a physical lab component, which is not part of the standard version. Lectures will focus on key concepts and not always cover every derivation; you’ll be expected to fill in the gaps through self-study, collaboration, and office hours.

Building off of Foundations of Signal Processing, we will approach signals and systems from a linear algebra perspective: “We believe that the best way to grasp and internalize the fundamental concepts in signal processing is through the geometry of Hilbert spaces, as this leverages the great innate human capacity for spatial reasoning. While using geometry should ultimately simplify the subject, the connection between signals and geometry is not innate. The reader will have to invest effort to see signals as vectors in Hilbert spaces before reaping the benefits of this view; we believe that effort to be well placed.”

As this is my first time teaching this format, expect a few rough edges along the way.

Prerequisites

Electrical and Computer Engineering 302 (or Electrical Engineering 302), or Electrical and Computer Engineering 302H (or Electrical Engineering 302H) with a grade of at least B; Mathematics 427J or 427K with a grade of at least C-; and credit with a grade of at least C- or registration for Mathematics 340L.

Note that calculus is a prerequisite and you are expected to be comfortable taking derivatives and solving integrals.

Correspondence

The online class system is Canvas. Most handouts will be distributed there. We will also use Canvas to send group e-mails and do online grading. Please make sure you know how to access Canvas and that you are listed there as a student.

We will use Ed Discussion for online discussions. This is a good place to post questions, which can be answered by the instructor, TA, or other students. Since students often have related questions, this is also a good place to look to see other questions and answers.

We will use Gradescope for uploading completed homework assignments and for grading.

We will occasionally use Zoom for lectures, when the instructor is unable to attend lecture in person (perhaps 2 or 3 lectures this semester). All lectures will be recorded.

Python

We will have regular computational assigments in Python. Python has become the industry standard for a wide array of engineering applications, and it is free and open source. See the Python page on my website for help getting started.

Approximate Grading Distribution

Subject to change with notice
- 20% Homeworks/labs
- 10% Weekly quizzes
- 20% Midterm #1 (Oct 8, in class)
- 20% Midterm #2 (Nov 12, in class)
- 30% Final Exam (Dec 13 at 7pm, set by the Registrar)

The plus/minus grading system will be used.

A course/instructor survey will be conducted at the end of the semester for the Instructor and each Teaching Assistant.

Regrade Requests

Request for regrading an assignment must be made in writing within one (1) week of the graded assignment being made available to students in the class. No verbal regrade requests will be considered. Mistakes can be made in the grading process and we will correct those, but it is unlikely that more partial credit will be given. The basic idea here is that we don’t want to indirectly penalize those students who don’t ask for regrades, since the class is graded on a curve.

Homework Instruction

Discussion of homework questions is encouraged; however, please be absolutely sure to submit your own independent homework solution.

Physical lab

Some of the assignments will use data collected from a portable wrist MRI scanner. You are asked to volunteer for the MRI scan, which may also be used for research purposes, but you are not required to volunteer.

Midterm Exams

Midterms will be held during the 75-minute lecture period:
- Midterm 1: Oct 8
- Midterm 2: Nov 12

Tentative Course Outline

A List of the topics that will be covered is given here, in the approximate order that they will be covered. This may change based on time. Also listed are relevant sections from the OW and FSP books.

Statement on Learning Success

Your success in this class is important to me. We will all need accommodations because we all learn differently. If there are aspects of this course that prevent you from learning or exclude you, please let me know as soon as possible. Together we will develop strategies to meet both your needs and the requirements of the course. I also encourage you to reach out to the student resources available through UT. Many are listed on this syllabus, but I am happy to connect you with a person or Center if you would like.

University Honor Code

“The core values of The University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the University is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community.”

College of Engineering Add/Drop Policy

The Dean must approve adding or dropping courses after the fourth class day of the semester.

Students with Disabilities

UT provides upon request appropriate academic accommodations for qualified students with disabilities. Disabilities range from visual, hearing, and movement impairments to ADHD, psychological disorders (e.g. depression and bipolar disorder), and chronic health conditions (e.g. diabetes and cancer). They also include temporary disabilities such as broken bones and recovery from surgery. Services for Students with Disabilities is available at 512-471-6259 [voice], 866-329-3986 [video], ssd@austin.utexas.edu, or https://diversity.utexas.edu/disability.

Student Rights and Responsibilities

With these rights come responsibilities: - You are responsible for taking care of yourself, managing your time, and communicating with the teaching team and with others if things start to feel out of control or overwhelming. - You are responsible for acting in a way that is worthy of respect and always respectful of others. - Your experience with this course is directly related to the quality of the energy that you bring to it, and your energy shapes the quality of your peers’ experiences. - You are responsible for creating an inclusive environment and for speaking up when someone is excluded. - You are responsible for holding yourself accountable to these standards, holding each other to these standards, and holding the teaching team accountable as well.

Personal Pronoun Use

Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, culture, religion, politics, sexual orientation, gender, gender variance, and nationalities. Class rosters are provided to the instructor with the student’s legal name, unless they have added a preferred name with the Gender and Sexuality Center. I will gladly honor your request to address you by a name that is different from what is on the roster, and by the gender pronouns you use (she/he/they/ze, etc).

Sanger Learning Center

More than one-third of UT Austin undergraduate students use the Sanger Learning Center each year to improve their academic performance. All students are welcome to take advantage of their classes and workshops, private learning specialist appointments, peer academic coaching, and tutoring. Please visit http://www.utexas.edu/ugs/slc or call 512-471-3614 (JES A332).

Engineering Tutoring

In collaboration with the Engineering Student Services Office, the ECE Department provides opportunities for students to receive one-on-one personalized tutoring. Free walk-in tutoring is available for ECE 313 (and many other courses).

Learn more at http://www.ece.utexas.edu/undergraduate/tutoring.

Food Pantry and Career Clothes Closet

Student Emergency Services in the Office of the Dean of Students has launched UT Outpost (UA9 Building, 2609 University Avenue; ring bell for service) to support students on our campus that is equipped with a food pantry, and a career clothes closet, to ensure every Longhorn has access to professional clothes for job and internship interviews. Emergencies and financial hardships can interfere with student success beyond the class- room, and this program will serve as an additional resource for students. Learn more at https://deanofstudents.utexas.edu/emergency/utoutpost.php.

Q Drop Policy

If you would like to drop a class after the 12th class day, you’ll need to execute a Q drop before the Q-drop deadline, which typically occurs near the middle of the semester. Under Texas law, you are only allowed six Q drops while you are in college at any public Texas institution. For more information, see http://www.utexas.edu/ugs/csacc/academic/adddrop/qdrop.

Religious Holy Days

A student who misses classes or other required activities, including examinations, for the observance of a religious holy day should inform the instructor as far in advance of the absence as possible so that arrangements can be made to complete an assignment within a reasonable period after the absence. A reasonable accommodation does not include substantial modification to academic standards, or adjustments of requirements essential to any program of instruction. Students and instructors who have questions or concerns about academic accommodations for religious observance or religious beliefs may contact the Office for Inclusion and Equity. The University does not maintain a list of religious holy days.

Absence for Military Service

In accordance with section 51.9111 of the Texas Education Code, a student is excused from attending classes or engaging in other required activities, including exams, if he or she is called to active military service of a reasonably brief duration. The maximum time for which the student may be excused has been defined by the Texas Higher Education Coordinating Board as “no more than 25 percent of the total number of class meetings or the contact hour equivalent (not including the final examination period) for the specific course or courses in which the student is currently enrolled at the beginning of the period of active military service.” The student will be allowed a reasonable time after the absence to complete assignments and take exams. Policies affecting students who withdraw from the University for military service are given in the Withdrawal section.

Safety Information

If you have concerns about the safety or behavior of students, TAs, Professors, or others, call the Behavioral Concerns Advice Line at 512-232-5050. Your call can be anonymous. If something doesn’t feel right, it probably isn’t. Trust your instincts and share your concerns.

Occupants of buildings are required to evacuate buildings when a fire alarm is activated. Alarm activation or announcement requires exiting and assembling outside. - Familiarize yourself with all exit doors of each classroom and building you may occupy. The nearest exit door may not be the one you used when entering the building. - Students requiring assistance in evacuation shall inform their instructor in writing during the first week of class. - In the event of an evacuation, follow the instruction of faculty or class instructors. Do not re-enter a building unless given instructions by the following: Austin Fire Department, UT Austin Police Department, or Fire Prevention Services. - Information regarding emergency evacuation routes and emergency procedures can be found at http://www.utexas.edu/emergency.

For more information, please see http://www.utexas.edu/safety.

Campus Carry

“The University of Texas at Austin is committed to providing a safe environment for students, employees, university affiliates, and visitors, and to respecting the right of individuals who are licensed to carry a handgun as permitted by Texas state law.” For more information, please see http://campuscarry.utexas.edu/students.

Mental Health Counseling

College can be stressful and sometimes we need a little help. We have a wealth of resources and dedicated people ready to assist you, and treatment does work. The Counseling and Mental Health Center (CMHC) provides counseling, psychiatric, consultation, and prevention services that facilitate student academic and life goals and enhance their personal growth and well-being. CMHC counselors are available Monday-Friday 8am-5pm 5th floor of the Student Services Building (SSB) in person and by phone (512-471-3515).

Alternatively, you can talk to Ms. Jeni Wade, LCSW right here in the College of Engineering. Ms. Wade is our Care Counselor and she can be reached at 512-471-8396. She has office hours in EER 2.848 for drop-ins.

If you are experiencing a mental health crisis (e.g. depression or anxiety), please call the Mental Health Center Crisis line at 512-471-CALL(2255). Call even if you aren’t sure you’re in a full-blown crisis, but sincerely need help. Staff are there to help you.

A wonderful resource is the MindBody Lab, a self-paced environment designed to help UT students explore various resources for improving their emotional and physical health. The Lab currently features audio and video instruction on a variety of topics, including sleep issues; food and body image; health and well-being; relaxation and meditation. Most of the material is experiential, enabling students to follow along and practice the skills as they are being discussed. MindBody Labs are located in SSB 5th floor, SAC 2.106 and NUR 3.156D.

Title IX Reporting

Title IX is a federal law that protects against sex and gender-based discrimination, sexual harassment, sexual assault, sexual misconduct, dating/domestic violence and stalking at federally funded educational institutions. UT Austin is committed to fostering a learning and working environment free from discrimination in all its forms where all students, faculty, and staff can learn, work, and thrive. When sexual misconduct occurs in our community, the university can: 1. Intervene to prevent harmful behavior from continuing or escalating. 2. Provide support and remedies to students and employees who have experienced harm or have become involved in a Title IX investigation. 3. Investigate and discipline violations of the university’s relevant policies.

Faculty members and certain staff members are considered “Responsible Employees” or “Mandatory Reporters,” which means that they are required to report violations of Title IX to the Title IX Coordinator at UT Austin. I am a Responsible Employee and must report any Title IX related incidents that are disclosed in writing, discussion, or one-on-one. Before talking with me, or with any faculty or staff member about a Title IX related incident, be sure to ask whether they are a responsible employee. If you want to speak with someone for support or remedies without making an official report to the university, email advocate@austin.utexas.edu. For more info about reporting options and resources, visit https://titleix.utexas.edu/campus-resources or contact the Title IX Office at titleix@austin.utexas.edu.

References

This course syllabus uses wording suggested by Prof. Brian Evans, Prof. Jeffrey Andrews, Prof. Mary Steinhardt, and the Faculty Innovation Center at UT Austin.


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