UNIVERSITY OF ILLINOIS AT URBANACHAMPAIGN
Department of Electrical and Computer Engineering
ECE 310: Digital Signal Processing (Fall 2022)
Course Description:
Introduction to discretetime systems and discretetime signal processing with an emphasis on causal systems; discretetime linear systems, difference equations, ztransforms, discrete convolution, stability, discretetime Fourier transforms, analogtodigital and digitaltoanalog 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. Minh Do (Sec. E)  Prof. Bin Hu (Sec. CCS)  Corey Snyder (Sec. G) 
Office: 113 CSL  Office: 145 CSL  Office: 111 CSL 
Email: minhdo@illinois.edu  Email: binhu7@illinois.edu  Email: cesnyde2@illinois.edu 
2. Teaching Assistants:
(Head TA) Jason Leung  Shilan He  Will Cai  Hieu Hoang 
Email: jasonl3@illinois.edu  Email: shilanh2@illinois.edu  Email: wycai2@illinois.edu  Email: hthieu@illinois.edu 
II. Schedule
1. Lectures:
Lecture  Time  Day  Location 

Section G  9:00 a.m.  9:50 a.m.  M W F  ECEB 3017 
Section CCS  12:00 p.m.  12:50 p.m.  M W F  ECEB 3017 
Section E  3:00 pm.  3:50 p.m.  M W F  ECEB 3017 
Recorded Lectures (Section E)
2. Office Hours and Recitation Sessions:
Note: office hours start on Aug 25; No office hours on Sep 5 or Nov 8
Office hour queue: Queue
Time  Monday  Tuesday  Wednesday  Thursday  Friday 

910 a.m.  Prof. Bin Hu (CSL 145) 

1011 a.m.  Shilan He (ECEB 3032) 
Shilan He (ECEB 3034) 

11 a.m.12 p.m.  Shilan He (ECEB 3032) 
Shilan He (ECEB 3034) 
Prof. Minh Do (CSL 113) 

121 p.m.  
12 p.m.  Will Cai (ECEB 5034) 
Corey Snyder (ECEB 2013) 
Recitation Session Will Cai (ECEB 2036) 

23 p.m.  Will Cai (ECEB 5034) 
Recitation Session Jason Leung (ECEB 3034) 

34 p.m.  
45 p.m.  Hieu Hoang (ECEB 4034) 
Jason Leung (ECEB 3015) 

56 p.m.  Hieu Hoang (ECEB 4034) 
Jason Leung (ECEB 3015) 

67 p.m. 
III. Resources
1. Recommended Textbook:
 Applied Digital Signal Processing: Theory and Practice (1^{st} ed.) by Dimitris G. Manolakis and Vinay K. Ingle, Cambridge Univ. Press publisher ISBN: 978052111020. Also available in digital format.
2. Course Campuswire:
 ECE 310 Campuswire link
 Access code: 0508
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: DiscreteTime 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
IV. Syllabus
Time  Topics  Reading Assignment  Lecture Notes  Additional Resources  Assessment Due 

Week 1: 8/22  8/26 
Course introduction Continuoustime (CT) and discretetime (DT) signals Review of complex numbers Discretetime systems Linear and timeinvariant (LTI) systems 
Chapter 1: 1.1  1.4 Chapter 2: 2.1  2.3 
SM: Ch 1, Appendix D, Appendix A, 3.1, 3.33.6 OS: 1, 2.12.2 PM: 1.11.2, 2.12.2 FK: 1, 5, 2, 9 Python Demo What is DSP?  Video by IEEE DSP at UIUC  1 DSP at UIUC  2 

Week 2: 8/29  9/2 
Impulse response Convolution Difference equations 
Chapter 2: 2.4  2.7; 2.10  SM: 3.73.9 OS: 2.32.5 PM: 2.32.5 FK: 9, 10, 3 Convolution Python Demo Difference Equations Python Demo 
HW1 

Week 3: 9/5  9/9 
No class 9/6 (Labor Day) ztransform Poles and zeros Inverse ztransform 
Chapter 3: 3.1  3.4  SM: 4.14.5 OS: Ch 3 PM: 3.13.5 FK: 6, 7, 8 13 Partial Fractions Python Demo Some ztransform properties Some ztransform pairs 
HW2 

Week 4: 9/12  9/16 
System analysis via ztransform System transfer function Stability 
Chapter 3: 3.5  3.7  SM: 4.104.14 OS: 5.2 PM: 3.6 FK: 14, 15, 16 Stability Python Demo 
HW3 

Week 5: 9/19  9/23 
Applications of linear system models Sinusoidal signals Fourier transforms Discretetime Fourier transform (DTFT) 
Chapter 4: 4.1  4.3 

SM: 2.12.4 OS: 2.62.7 PM: 1.3, 4.1 FK: 17 Inverse Filter Python Demo Applications of Linear System Theory 
HW4 
Week 6: 9/26  9/30 
Properties of the DTFT Frequency response Midterm exam 1 
Chapter 4: 4.3  4.5 Chapter 5: 5.1  5.2 
SM: 2.4, 5.1 OS: 2.82.9, 5.1 PM: 4.24.4 FK: 18, 19 DTFT Python Demo Filtering Python Demo 
HW5 

Week 7: 10/3  10/7 
Frequency response (magnitude and phase responses) Ideal filters Sampling of continuoustime signals 
Chapter 5: 5.3  5.6 Chapter 6: 6.1 
SM: 5.2, 3.2 OS: 5.35.4, 4.14.2 PM: 4.44.5, 1.4 FK: 20, 21 
HW6 

Week 8: 10/10  10/14 
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: 4.24.3 PM: 1.4, 4.2.9, 5.1 FK: 22, 34 Sampling Demo 
HW7 

Week 9: 10/17  10/21 
Discrete Fourier transform (DFT) DFT spectral analysis DFT applications 
Chapter 7: 7.2  7.4; 7.6 Chapter 6: 6.46.5 
SM: 2.52.6 OS: 8.18.6, 10.110.2 PM: 5.2, 5.4 FK: 34, 36 DFT Python Demo 
HW8 

Week 10: 10/24  10/28 
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, 6.16.2 PM: 5.3, 6.16.2, 7.1 FK: 37, 38 
HW9 

Week 11: 10/31  11/4 
Downsampling and decimation Upsampling and interpolation Midterm exam 2 
Chapter 12: 12.112.2  HW10 

Week 12: 11/7  11/11 
Practical digital filters FIR filter design IIR filter design 
Chapter 9: 9.19.3 Chapter 10: 10.110.3 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 Filter Design Demo 
HW11 

Week 13: 11/14  11/18 
Adaptive filters Intro. to vectorspace signal processing Leastsquares problems and basic optimization 
Course notes  Vector Space Linear Systems Adaptive Filters Adaptive Filter Demo 
HW12 

Fall break: 11/19  11/27 

Week 14: 11/28  12/2 
Convolution as template matching Convolutional neural networks Recurrent neural networks 
Course notes  HW13 

Week 15: 12/6  12/8  Applications: instructor's choice, student's choice 



Final Exams: 12/10 12/17 
V. Grading
 Weekly Homework: 30% of Final Grade, 20% written submission to Gradescope, 10% PrairieLearn
 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 autoenrolled to our course Gradescope, you may join using entry code 6ZGWJ6.
 Due dates: Homework is assigned each Wednesday, due the following Wednesday 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.
 PrairieLearn: www.prairielearn.org (sign in with Illinois; first time, enroll in course ECE 310). There is PrairieLearn weekly homework that is due at the same time with written homework (Wednesdays at 11:59pm).
 Again, late homework submissions will not be accepted.
 Exams (will be held inperson): 70% of Final Grade
 Midterm Exam 1: 20% of Final Grade
 Date: Thursday, 9/29, 79pm
 Location: ECEB 1015, ECEB 3013, ECEB 3017, your location based on NetID
 ECEB 1015: from "aa" to "jo"
 ECEB 3013: from "jp" to "rb"
 ECEB 3017: from "rc" to "zz"
 Coverage: material from weeks 15, through HW5.
 You are allowed 1 sheet (twosided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
 Conflict exam: Friday, 9/30, 10am12pm
 Location: ECEB 3020
 HKN Review Session: Sunday, 9/25, 35pm, ECEB 1015
 Midterm Exam 2: 20% of Final Grade
 Date: Thursday, 11/3, 79pm
 Location: ECEB 1015, ECEB 3013, ECEB 3017, your location based on NetID
 ECEB 1015: from "aa" to "jo"
 ECEB 3013: from "jp" to "rb"
 ECEB 3017: from "rc" to "zz"
 Coverage: materials corresponding to HWs 610.
 You are allowed 2 sheet (twosided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
 Conflict exam: Friday, 11/4, 10am12pm
 Location: ECEB 3020
 HKN Review Session: Sunday, 10/30, 35pm, ECEB 1002
 Final Exam: 30% of Final Grade
 Date: Thursday, 12/15, 1:304:30pm
 Location: 314 Altgeld Hall
 Coverage: material from the whole semester
 You are allowed 3 sheets (twosided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
 Conflict exam: Friday, 12/16, 811am
 Location: 108 English Building
 Midterm Exam 1: 20% of Final Grade
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  08/31 @ 11:59pm  Homework 1 Solution 
Homework 2  09/07 @ 11:59pm  Homework 2 Solution 
Homework 3  09/14 @ 11:59pm  Homework 3 Solution 
Homework 4  09/21 @ 11:59pm  Homework 4 Solution (updated 3(e)) 
Homework 5  09/28 @ 11:59pm  Homework 5 Solution 
Homework 6  10/05 @ 11:59pm  Homework 6 Solution 
Homework 7  10/12 @ 11:59pm  Homework 7 Solution 
Homework 8  10/19 @ 11:59pm  Homework 8 Solution 
Homework 9  10/27 @ 11:59pm  Homework 9 Solution 
Homework 10 (Q2&Q3(b): Xd(0)=1)  11/02 @ 11:59pm  Homework 10 Solution 
Homework 11  11/10 @ 11:59pm  Homework 11 Solution 
Homework 12  11/16 @ 11:59pm  Homework 12 Solution 
Homework 13  11/30 @ 11:59pm  Homework 13 Solution 
VIII. Past Exams
Exam  Exercise List 

Midterm 1  
Midterm 2  
Final 