UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 310: Digital Signal Processing (Spring 2025)
Course Description:
Introduction to discrete-time systems and discrete-time signal processing with an emphasis on causal systems; discrete-time linear systems, difference equations, z-transforms, discrete convolution, stability, discrete-time Fourier transforms, analog-to-digital and digital-to-analog conversion, digital filter design, discrete Fourier transforms, fast Fourier transforms, spectral analysis, and applications of digital signal processing.
Course Prerequisite:
ECE 210
I. Teaching Staff
1. Instructors:
| Prof. Zhi-Pei Liang (Sec. E) | Prof. Corey Snyder (Sec. G) |
| Office: 4257 Beckman Institute | Office: ECEB 2058 |
| Email: z-liang@illinois.edu | Email: cesnyde2@illinois.edu |
2. Teaching Assistants:
| Shilan He | Jackson Craig | Shensheng Zhao | Yulun (Ben) Wu | Christopher Kim |
| Email: shilanh2@illinois.edu | Email: jc168@illinois.edu | Email: sz35@illinois.edu | Email: yulun4@illinois.edu | Email: ck18@illinois.edu |
II. Schedule
1. Lectures:
| Lecture | Time | Day | Location |
|---|---|---|---|
| Section E | 12:00 p.m. - 12:50 p.m. | M W F | CIF 4029 |
| Section G | 3:00 pm. - 3:50 p.m. | M W F | CIF 4029 |
2. Office Hours and Recitation Sessions:
Note: Start from 1/27
| Time | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 9-10 a.m. | Shensheng Zhao (ECEB 2034) |
Ben Wu (ECEB 2034) |
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| 10-11 a.m. | Shilan He (ECEB 2034) |
Shilan He / Ben Wu (ECEB 2034) |
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| 11 a.m.-12 p.m. | Shilan He / Ben Wu (ECEB 2034) |
Shilan He (ECEB 2034) |
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| 12-1 p.m. | Ben Wu (ECEB 2034) |
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| 1-2 p.m. | Jackson Craig / Shilan He (ECEB 3020) |
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| 2-3 p.m. | Prof. Corey Snyder (ECEB 2034) |
Jackson Craig / Shilan He (ECEB 3020) |
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| 3-4 p.m. | Ben Wu (ECEB 2034) |
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| 4-5 p.m. | Ben Wu (ECEB 2034) |
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| 5-6 p.m. | Christopher Kim (ECEB 2034) |
Jackson Craig (ECEB 2034) |
Shensheng Zhao / Jackson Craig (ECEB 3013) |
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| 6-7 p.m. | Christopher Kim (ECEB 2034) |
Jackson Craig (ECEB 2034) |
Shensheng Zhao / Jackson Craig (ECEB 3013) |
III. Resources
1. Recommended Textbook:
- Applied Digital Signal Processing: Theory and Practice (1st ed.) by Dimitris G. Manolakis and Vinay K. Ingle, Cambridge Univ. Press publisher ISBN: 978-0521110020. Also available in digital format.
2. Course Campuswire:
- ECE 310 Campuswire link
- Access code: 7541
3. Associated Lab Course (Strongly recommended):
4. Additional Resources
The following additional resources cover much of the same material as the lectures and textbook. The syllabus below provides references to these resources as well as the Manolakis and Ingle textbook.
- SM: ECE 310 Course Notes by Prof. Andrew C. Singer and Prof. David C. Munson Jr. (PDF download)
- OS: Discrete-Time Signal Processing by Alan V. Oppenheim and Ronald W. Schafer (on reserve at the library)
- PM: Digital Signal Processing: Principles, Algorithms, and Applications by John G. Proakis and Dimitris G. Manolakis (on reserve at the library)
- FK: DSP lecture videos from ECE 410, Fall 2003, by Prof. Farzad Kamalabadi. These cover more advanced material than ECE 310.
- Recorded Examples: Recorded examples links (from fa2020)
- ECE 310 Notation Table: Chart of notation used in lecture, the textbook, and the other resources listed above
- ECE 310 Course Summary: A brief list of basic concepts.
- Common transform pairs and properties
- Summary of course learning objectives
Lecture recordings
Lecture recordings for Section G are available in the below table under the "Lecture Notes" column.IV. Syllabus
| Time | Topics | Reading Assignment | Lecture Notes | Additional Resources | Assessment Due | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
Week 1: (No class on 1/20 for MLK Day) |
Course introduction Continuous-time (CT) and discrete-time (DT) signals Review of complex numbers |
Chapter 1: 1.1 - 1.4 |
|
SM: Ch 1, Appendix D, Appendix A, 3.1, 3.3-3.6 OS: 1, 2.1-2.2 PM: 1.1-1.2, 2.1-2.2 FK: 1, 5, 2, 9 Python Demo What is DSP? - Video by IEEE DSP at UIUC - 1 DSP at UIUC - 2 |
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| Week 2: 1/27-1/31 |
Discrete-time systems Linear and time-invariant (LTI) systems Impulse response Convolution Difference equations |
Chapter 2: 2.1 - 2.7; 2.10 |
|
SM: 3.7-3.9 |
HW1 |
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| Week 3: 2/3-2/7 |
z-transform Poles and zeros Inverse z-transform |
Chapter 3: 3.1 - 3.4 |
|
SM: 4.1-4.5 OS: Ch 3 PM: 3.1-3.5 FK: 6, 7, 8 13 Partial Fractions Python Demo Some z-transform properties Some z-transform pairs |
HW2 |
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| Week 4: 2/10-2/14 |
System analysis via z-transform System transfer function Stability |
Chapter 3: 3.5 - 3.7 |
|
SM: 4.10-4.14 OS: 5.2 PM: 3.6 FK: 14, 15, 16 Stability Python Demo |
HW3 |
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| Week 5: 2/17-2/21 |
Applications of linear system models Sinusoidal signals Fourier transforms Discrete-time Fourier transform (DTFT) |
Chapter 4: 4.1 - 4.3 | SM: 2.1-2.4 OS: 2.6-2.7 PM: 1.3, 4.1 FK: 17 Inverse Filter Python Demo Applications of Linear System Theory |
HW4 |
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| Week 6: 2/24-2/28 |
Midterm 1 (Wednesday, 2/26) No class Wednesday Properties of the DTFT |
Chapter 4: 4.3 - 4.5 Chapter 5: 5.1 - 5.2 |
SM: 2.4, 5.1 OS: 2.8-2.9, 5.1 PM: 4.2-4.4 FK: 18, 19 DTFT Python Demo Filtering Python Demo |
HW5 |
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| Week 7: 3/3-3/7 |
Frequency response (magnitude and phase responses) Ideal filters Sampling of continuous-time signals |
Chapter 5: 5.3 - 5.6 Chapter 6: 6.1 |
SM: 5.2, 3.2 OS: 5.3-5.4, 4.1-4.2 PM: 4.4-4.5, 1.4 FK: 20, 21 |
HW6 |
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| Week 8: 3/10-3/14 |
Ideal C/D and D/C conversion Aliasing effect Discrete Fourier transform (DFT) |
Chapter 6: 6.2 - 6.3 Chapter 7: 7.1 - 7.2 |
SM: 3.2, 2.5 OS: 4.2-4.3 PM: 1.4, 4.2.9, 5.1 FK: 22, 34 Sampling Demo |
HW7 |
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Spring Break: 3/17-3/21 |
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| Week 9: 3/24-3/28 |
Discrete Fourier transform (DFT) DFT spectral analysis DFT applications |
Chapter 7: 7.2 - 7.4; 7.6 Chapter 6: 6.4-6.5 |
SM: 2.5-2.6 OS: 8.1-8.6, 10.1-10.2 PM: 5.2, 5.4 FK: 34, 36 DFT Python Demo |
HW8 |
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| Week 10: 3/31-4/4 |
Fast Fourier transform (FFT) Convolution using the DFT Digital processing of analog signals |
Chapter 7: 7.5 Chapter 8: 8.1; 8.3 |
SM: Ch 14, 6.3 OS: 8.7, 9.3, 6.1-6.2 PM: 5.3, 6.1-6.2, 7.1 FK: 37, 38. |
HW9 |
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| Week 11: 4/7-4/11 |
Midterm 2 (Wednesday, 4/9) No class Wednesday Practical digital filters |
Chapter 12: 12.1-12.2 | HW10 |
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| Week 12: 4/14-4/18 |
Generalized linear phase filters FIR filter design by windowing |
Chapter 9: 9.1-9.3 Chapter 10: 10.1-10.3 Chapter 11: 11.1; 11.3 |
SM: 6.4, Ch 11, Ch 12 OS: 5.7, Ch 7 PM: Ch 8 FK: 28, 29, 30. |
HW11 |
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| Week 13: 4/21-4/25 |
Downsampling and decimation Upsampling and interpolation Multirate signal processing |
Chapter 12: 12.1-12.2 |
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HW12 |
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| Week 14: 4/28-5/2 |
Practical A/D, D/A, upsampling D/A, ZOH Applications: instructor's choice, student's choice |
Chapter 6: 6.5 Chapter 15: 15.3 |
HW13 |
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| Week 15: 5/5-5/9 | Applications: instructor's choice, student's choice Final exam review |
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| Final Exams: 5/12-5/19 |
V. Grading
- Weekly Homework: 20% of final grade
- Grading: Homework average is computed by dropping the two lowest scores and then computing the average; this implies that each student may omit two homeworks in case of extenuating circumstances. Since the solutions will be posted immediately after the submission deadline, no late submission will be accepted.
- Submission: Homework should be uploaded as a PDF file to Gradescope in which we have added each student enrolled. If you have not been auto-enrolled to our course Gradescope, you may join using entry code 5K8477
- Due dates: Homework is assigned each Friday, due the following Friday at 11:59pm. The corresponding solution will be posted immediately after the due date.
- Write neatly. Please box the equations you will be solving and the final answer. If we cannot read it we cannot grade it!
- Regrade requests must be submitted on gradescope within one week of grades being posted. All regrade requests must have a brief justification.
- Again, late homework submissions will not be accepted.
- Exams (will be held in-person): 80% of Final Grade
- Midterm Exam 1: 22% of Final Grade
- Date: Wednesday, 2/26, 7:00-9:00pm
- Location: CIF 0027/1025 (CIF Auditorium)
- Coverage: material from weeks 1-4, through HW4.
- You are allowed 1 sheet (two-sided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
- Conflict exam:
- Date: Thursday, 2/27
- Location:
- HKN Review Session:
- Date:
- Location:
- Midterm Exam 2: 22% of Final Grade
- Date: Wednesday, 4/9, 7:00-9:00pm
- Location: CIF 0027/1025 (CIF Auditorium)
- Coverage: materials corresponding to HWs 5-9.
- You are allowed 2 sheets (two-sided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
- Conflict exam:
- Date: Thursday, 4/10
- Location:
- HKN Review Session:
- Date:
- Location:
- Final Exam: 36% of Final Grade
- Date:
- Location:
- Coverage: material from the whole semester
- You are allowed 3 sheets (two-sided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
- Conflict exam: (need approval from instructor to attend)
- HKN Review Session:
- Date:
- Location:
- Midterm Exam 1: 22% of Final Grade
- Final Grade Cutoffs: The following cutoffs will be used to assess final grades. The cutoffs will never be raised, but might be lowered based on the class distribution. We will communicate any changes clearly in class and here on the website.
- A+: 93-100%, A: 90-93%, A-: 87-90%
- B+: 83-87%, B: 80-83%, B-: 77-80%
- C+: 73-77%, C: 70-73%, C-: 67-70%
- D+: 63-67%, D: 60-63%, D-: 57-60%
VI. Integrity
This course will operate under the following honor code: All exams and homework assignments are to be worked out independently without any aid from any person or device. Copying of other students' work is considered cheating and will not be permitted. By enrolling in this course and submitting exams and homework assignments for grading, each student implicitly accepts this honor code.
VII. Homework Material
| Exercises | Due Date | Solution |
|---|---|---|
| Homework 1 | 01/31 @ 11:59pm | Homework 1 Solution |
| Homework 2 | 02/07 @ 11:59pm | Homework 2 Solution |
| Homework 3 | 02/14 @ 11:59pm | Homework 3 Solution |
| Homework 4 | 02/21 @ 11:59pm | Homework 4 Solution |
| Homework 5 | 03/02 @ 11:59pm (Extension for Exam 1) | Homework 5 Solution |
| Homework 6 | 03/07 @ 11:59pm | Homework 6 Solution |
| Homework 7 | 03/14 @ 11:59pm | Homework 7 Solution |
| Homework 8 | 03/28 @ 11:59pm | Homework 8 Solution |
| Homework 9 | 04/04 @ 11:59pm | Homework 9 Solution |
| Homework 10 | 04/13 @ 11:59pm (Extension for Exam 2) | Homework 10 Solution |
| Homework 11 | 04/18 @ 11:59pm | Homework 11 Solution |
| Homework 12 | 04/25 @ 11:59pm | Homework 12 Solution |
| Homework 13 | 05/02 @ 11:59pm | Homework 13 Solution |
VIII. Past Exams
| Exam | Exercise List |
|---|---|
| Midterm 1 | |
| Midterm 2 | |
| Final |