UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN

Department of Electrical and Computer Engineering

ECE 310: Digital Signal Processing (Fall 2022)

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. 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
9-10 a.m.       Prof. Bin Hu
(CSL 145)		  
10-11 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)
12-1 p.m.          
1-2 p.m. Will Cai
(ECEB 5034)		 Corey Snyder
(ECEB 2013)		   Recitation Session
Will Cai
(ECEB 2036)		  
2-3 p.m. Will Cai
(ECEB 5034)		       Recitation Session
Jason Leung
(ECEB 3034)
3-4 p.m.          
4-5 p.m.   Hieu Hoang
(ECEB 4034)		 Jason Leung
(ECEB 3015)		    
5-6 p.m.   Hieu Hoang
(ECEB 4034)		 Jason Leung
(ECEB 3015)		    
6-7 p.m.          

III. Resources

1. Recommended Textbook:

2. Course Campuswire:

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.

IV. Syllabus

Time Topics Reading Assignment Lecture Notes Additional Resources Assessment Due
Week 1:
8/22 - 8/26		 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		 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:
8/29 - 9/2
Impulse response
Convolution
Difference equations		 Chapter 2: 2.4 - 2.7; 2.10 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:
9/5 - 9/9		 No class 9/6 (Labor Day)
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
 
Week 4:
9/12 - 9/16		 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
 
Week 5:
9/19 - 9/23		 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
 
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: 2.8-2.9, 5.1
PM: 4.2-4.4
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 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
 
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: 4.2-4.3
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: 6.4-6.5		 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
 
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, 6.1-6.2
PM: 5.3, 6.1-6.2, 7.1
FK: 37, 38		 HW9
 
Week 11:
10/31 - 11/4		 Downsampling and decimation
Upsampling and interpolation
 

Midterm exam 2

 Chapter 12: 12.1-12.2   HW10
 
Week 12:
11/7 - 11/11		 Practical digital filters
FIR filter design
IIR filter design		 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
Filter Design Demo		 HW11
 
Week 13:
11/14 - 11/18		 Adaptive filters
Intro. to vector-space signal processing
Least-squares 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

Deep Convolutional Neural Networks

Convolutional neural networks Jupyter notebook demo

 HW13
 
Week 15: 12/6 - 12/8 Applications: instructor's choice, student's choice  
  • Section G: Lec40, Lec41
  • Section E: Lec40, Lec41

 

 

  
Final Exams: 12/10- 12/17          

V. Grading

  1. 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 auto-enrolled 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.
  2. Exams (will be held in-person): 70% of Final Grade
    1. Midterm Exam 1: 20% of Final Grade
      • Date: Thursday, 9/29, 7-9pm
      • 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 1-5, through HW5.
      • You are allowed 1 sheet (two-sided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
      • Conflict exam: Friday, 9/30, 10am-12pm
        • Location: ECEB 3020
      • HKN Review Session: Sunday, 9/25, 3-5pm, ECEB 1015
    2. Midterm Exam 2: 20% of Final Grade
      • Date: Thursday, 11/3, 7-9pm
      • 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 6-10.
      • You are allowed 2 sheet (two-sided) of handwritten notes (no printed notes) on 8.5x11" paper. No calculator allowed.
      • Conflict exam: Friday, 11/4, 10am-12pm
        • Location: ECEB 3020
      • HKN Review Session: Sunday, 10/30, 3-5pm, ECEB 1002
    3. Final Exam: 30% of Final Grade
      • Date: Thursday, 12/15, 1:30-4:30pm
      • Location: 314 Altgeld Hall
      • 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: Friday, 12/16, 8-11am
        • Location: 108 English Building

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