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. Minh Do (Sec. G)	Prof. Ilan Shomorony (Sec. CCS)	Prof. Corey Snyder (Sec. E)
Office: 113 CSL	Office: 313 CSL	Office: ECEB 2058
Email: minhdo@illinois.edu	Email: ilans@illinois.edu	Email: cesnyde2@illinois.edu

2. Teaching Assistants:

(Head TA) Shilan He	Jackson Craig	Mick Gardner	Yulun (Ben) Wu
Email: shilanh2@illinois.edu	Email: jc168@illinois.edu	Email: mickhg2@illinois.edu	Email: yulun4@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 1013

2. Office Hours and Recitation Sessions:

Note: Start from 9/3

Time	Monday	Wednesday	Thursday	Friday
9-10 a.m.
10-11 a.m.	Prof. Ilan Shomorony (CSL 313)	Shilan He (ECEB 3003)	Mick Gardner (ECEB 3036)	Mick Gardner (ECEB 5034)
11 a.m.-12 p.m.	Prof. Minh Do (CSL 113)	Shilan He (ECEB 3003)	Mick Gardner (ECEB 3036)	Mick Gardner (ECEB 5034)
12-1 p.m.
1-2 p.m.				Jackson Craig (ECEB 5034)
2-3 p.m.		Prof. Corey Snyder (ECEB 5034)		Jackson Craig (ECEB 5034)
3-4 p.m.
4-5 p.m.	Yulun (Ben) Wu (ECEB 5034)	Yulun (Ben) Wu (ECEB 5034)
5-6 p.m.	Yulun (Ben) Wu (ECEB 5034)	Yulun (Ben) Wu (ECEB 5034)	Shilan He (ECEB 5034)
6-7 p.m.		Recitation ECEB 2015	Shilan He (ECEB 5034)

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: 978-0521110020. Also available in digital format.

2. Course Campuswire:

ECE 310 Campuswire link
Access code: 2293

3. Associated Lab Course (Strongly recommended):

ECE 311: Digital Signal Processing Lab

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

The lecture recordings for section CCS can be found at this mediaspace channel. The corresponding lecture notes can be found at this Box folder.

Section G recordings can be found at mediaspace channel.

IV. Syllabus

Time	Topics	Reading Assignment	Lecture Notes	Additional Resources	Assessment Due
Week 1: 8/26 - 8/30	Course introduction Continuous-time (CT) and discrete-time (DT) signals Review of complex numbers Discrete-time systems Linear and time-invariant (LTI) systems	Chapter 1: 1.1 - 1.4 Chapter 2: 2.1 - 2.3	Section E: Lec1, Lec2, Lec3 Section CCS: Lecture notes Section G: Lec1, Lec2, Lec3	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
Week 2: 9/2- 9/6	No class 9/2 (Labor Day) Impulse response Convolution Difference equations	Chapter 2: 2.4 - 2.7; 2.10	Section E: Lec4, Lec5 Section G: Lec4, Lec5	SM: 3.7-3.9 OS: 2.3-2.5 PM: 2.3-2.5 FK: 9, 10, 3 Convolution Python Demo Difference Equations Python Demo	HW1
Week 3: 9/9 - 9/13	z-transform Poles and zeros Inverse z-transform	Chapter 3: 3.1 - 3.4	Section E: Lec6, Lec7, Lec8 Section G: Lec6, Lec7, Lec8	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 Recitation Recitation Solutions	HW2
Week 4: 9/16 - 9/20	System analysis via z-transform System transfer function Stability	Chapter 3: 3.5 - 3.7	Section E: Lec9, Lec10, Lec11 Section G: Lec9, Lec10, Lec11	SM: 4.10-4.14 OS: 5.2 PM: 3.6 FK: 14, 15, 16 Stability Python Demo Recitation Recitation Solutions	HW3
Week 5: 9/23 - 9/27	Applications of linear system models Sinusoidal signals Fourier transforms Discrete-time Fourier transform (DTFT)	Chapter 4: 4.1 - 4.3	Section E: Lec12, Lec13, Lec14 Section G: Lec12, Lec13, Lec14	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 Recitation Recitation Solutions	HW4
Week 6: 9/30 - 10/4	Midterm 1 (Wednesday, 10/2) No class Wednesday Properties of the DTFT Frequency response	Chapter 4: 4.3 - 4.5 Chapter 5: 5.1 - 5.2	Section E: Lec15 Section G: Lec15, Lec16	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 Recitation Recitation Solutions	HW5
Week 7: 10/7 - 10/11	Frequency response (magnitude and phase responses) Ideal filters Sampling of continuous-time signals	Chapter 5: 5.3 - 5.6 Chapter 6: 6.1	Section E: Lec16, Lec17, Lec18 Section G: Lec17, Lec18, Lec19	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
Week 8: 10/14 - 10/18	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	Section E: Lec19, Lec20, Lec21 Section G: Lec20, Lec21, Lec22	SM: 3.2, 2.5 OS: 4.2-4.3 PM: 1.4, 4.2.9, 5.1 FK: 22, 34 Sampling Demo Recitation Recitation Solutions	HW7
Week 9: 10/21 - 10/25	Discrete Fourier transform (DFT) DFT spectral analysis DFT applications	Chapter 7: 7.2 - 7.4; 7.6 Chapter 6: 6.4-6.5	Section E: Lec22, Lec23, Lec24 Section G: Lec23, Lec24	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 Recitation Recitation Solutions	HW8
Week 10: 10/28 - 11/1	Fast Fourier transform (FFT) Convolution using the DFT Digital processing of analog signals	Chapter 7: 7.5 Chapter 8: 8.1; 8.3	Section E: Lec25, Lec26 Section G: Lec25, Lec26, Lec27	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. Recitation	HW9
Week 11: 11/4 - 11/8	Midterm 2 (Wednesday, 11/6) No class Wednesday Practical digital filters FIR filter design	Chapter 12: 12.1-12.2			HW10
Week 12: 11/11 - 11/15	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
Week 13: 11/18 - 11/22	Downsampling and decimation Upsampling and interpolation Multirate signal processing	Chapter 12: 12.1-12.2			HW12
Fall break: 11/25 - 11/29
Week 14: 12/2 - 12/6	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
Week 15: 12/9 - 12/13	Applications: instructor's choice, student's choice Final exam review
Final Exams: 12/16- 12/20

V. Grading

Weekly Homework: 25% of Final Grade, 15% written submission to Gradescope, 10% PrairieLearn
- Grading: Homework average is computed by dropping the two lowest scores for each the written and Prairielearn homeworks (2 for written, 2 for Prairielearn) 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 BK54YZ
- 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.
- 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 (Fridays at 11:59pm).
- Again, late homework submissions will not be accepted.
Exams (will be held in-person): 75% of Final Grade
1. Midterm Exam 1: 20% of Final Grade
  - Date: Wednesday, 10/2, 7:00-9:00pm
  - Location: CIF 0027/1025
  - 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, 10/3, 9:00-11:00am
    - Location: ECEB 1013
  - Solutions
  - Conflict Solutions
  - HKN Review Session:
    - Date: Sunday, 9/29, 12:30-3:00pm
    - Location: ECEB 1013
2. Midterm Exam 2: 20% of Final Grade
  - Date: Wednesday, 11/6, 7:00-9:00pm
  - Location: CIF 0027/1025
  - 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, 11/7, 9:00am-11:00am
    - Location: ECEB 1013
  - HKN Review Session:
    - Date: Sunday, 11/3, 3-5pm
    - Location: ECEB 1013
3. Final Exam: 35% of Final Grade
  - Date:
    - TBA
  - Location:
    - TBA
  - 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:
    - TBA
  - HKN Review Session:
    - BA
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	09/06 @ 11:59pm	Homework 1 Solution
Homework 2	09/13 @ 11:59pm	Homework 2 Solution
Homework 3	09/20 @ 11:59pm	Homework 3 Solution
Homework 4	09/27 @ 11:59pm	Homework 4 Solution
Homework 5	10/06 @ 11:59pm	Homework 5 Solution (updated 1(c))
Homework 6	10/11 @ 11:59pm	Homework 6 Solution
Homework 7	10/20 @ 11:59pm	Homework 7 Solution
Homework 8	10/25 @ 11:59pm	Homework 8 Solution
Homework 9	11/01 @ 11:59pm	Homework 9 Solution
Homework 10	11/08 @ 11:59pm	Homework 10 Solution
Homework 11	11/15 @ 11:59pm	Homework 11 Solution
Homework 12	11/22 @ 11:59pm	Homework 12 Solution
Homework 13	12/06 @ 11:59pm	Homework 13 Solution

VIII. Past Exams

Exam	Exercise List
Midterm 1	Spring 2023 (Solutions) Spring 2021 Fall 2019 Fall 2018
Midterm 2	Spring 2023 (Solutions) Fall 2021 Solutions Spring 2021 Solutions Fall 2019
Final	Spring 2016 Spring 2018 Spring 2021 Spring 2023 (Solutions)