ELEC 342 Discrete Time Signals and Systems, Fall 2016

 

Concordia University, Department of Electrical and Computer Engineering

 

Instructor:        Dr. Reza Soleymani

Office: EV 5.125; Office Hours: Tuesdays 10am - noon.

Tel: 848-2424 x 4103; Email: msoleyma@ece.concordia.ca            

1. Calendar Description:

 

Properties of discrete-time systems. Linear Time Invariant (LTI) systems. Unit impulse response and convolution. Systems based on linear constant-coefficient difference equations. Discrete Fourier series. The Fourier transform representation of signals and systems. Inverse Fourier transform. Sampling of continuous-time signals. Reconstruction of a signal from its samples. Discrete-time processing of continuous-time signals. Quantization. The Z-Transform and inverse Z-Transform. Unilateral Z-Transform. Transfer function and block diagram representation of LTI systems. Basic structures for Finite-Impulse-Response and Infinite-Impulse-Response filters. Computer-based MATLAB simulation. Lectures: three hours per week. Tutorial: one hour per week. Laboratory: 15 hours total. NOTE: Students who have received credit for ELEC 364 may not take this course for credit.

 

Prerequisite:    ELEC 242: Continuous Time Signals and Systems 

 

2. Course Objectives:

 

The objective of this course is to apply knowledge of mathematics (namely algebra and calculus, complex variables and series) and engineering (basic circuits) to make important insights on the signals (that is a stream of data) and the systems (that process signals). This course is quite basic to the field of communications (e.g., ELEC 363), control (e.g., ELEC 372), and signal processing (ELEC 442).

 

3. Course Learning Outcomes:

 

Upon successful completion of the course, students will be able to:

 

1.         Demonstrate an understanding of signal processing concepts including sampling, quantization,

digital filtering.

2.         Apply sampling and quantizaion techniques to digitization of analog signals.

3.         Apply knowledge of mathematics (namely algebra and calculus, complex variables and series)

and engineering (basic circuits) in analysis and synthesis (design) of digital systems.

4.         Design experiments including hypothesis formulation, data collection, danalysis and interpretation

            of signals based on measurement and processing.

5.         Use signal processing simulation tools, Matlab, Simulink in a lab environment

6.         Demonstrate awareness of limitations of simulation tools for signal processing

 

4. Course Organization

 

Lectures:          Wednesday and Friday 11:45AM - 1:00PM, Room H 620

 

Tutorials:         Section UA Fridays:      Fr 1:15PM - 2:05PM H-400

                        Section UB Fridays:      Fr 1:15PM - 2:05PM H513

                       

Labs:                Lab Location and Time.

Prerequisite:    ELEC 242: Continuous Time Signals and Systems

Textbook:         Continuous and Discrete Time Signals and Systems by Mrinal Mandal and Amir Asif. Cambridge University Press

Lecture Notes:

 

Sample Midterm: Summer 2016.

Sample Final: Summer 2016

 

 

Course Schedule:

 

DATE

TOPIC

CHAPTER

Sept. 7 to Sept. 16

Introduction to discrete time signals and systems. Time domain analysis

Chapters 1, 2, (discrete time elements only), Ch.10,

Sept. 21 to Sept. 30

Discrete time Fourier Series and Fourier Transform

Chapter 11

Oct. 5 to Oct. 14

Sampling, Quantization, DFT

Chapters 9,12 (12.1 to 12.3)

Midterm

Midterm exam Wednesday Oct. 19

 

Oct. 21 to  Nov. 2

z-Transform

Chapter 13

Nov. 4 to Nov. 16

Filtering

Chapters 14 (not 14.8), 15

Nov. 18 to Dec. 2

Filtering

Chapter 16

 

 

Exams: One midterm and one final exam will be given. All exams will be closed book. You will be allowed to prepare a formula sheet. If you miss the midterm exam you lose the mark (unless you bring a medical note from Concordia Health Services).

 

Assignments: One of the most important skills that you can have as an engineer is the ability to read a technical document and get something out of it. A technique to get more out of what you read is to make notes and formulate questions and hypothesis as you read. This takes the often passive activity of reading and makes it active.

 

Before the staring each subject you should turn in at the beginning of class:

 

1.     Three pages of “jottings”. This is original handwritten material concerning the material you have read. It     can take any form, for example: summary, questions that occurred to you, insights, etc.

2.     Three sentences that summarize what you’ve read.

 

A teaching assistant will do two things:

 

1.     Check that you did the jottings (no photocopies!!).

2.     Give you a mark on your three sentences.

 

We will do this for Sept. 21, Oct. 5, Oct. 21, Nov. 4 and Nov. 18. The best three of these five marks will yield 5% of the final grade.

 

Suggested Problems (no marks not to be handed in):

 

1)     1.6(i,iii,iv),1.8(i,ii,iii), 1.15(i,iii,v),1.28(i,ii,iii,iv,viii)1.29

2)     2.10(i,iii,iv),2.12 (ii,iv), 2.14(i,ii),219,2,21

3)     10.2,10.4,10.5(a,b), 10.7, 10.9, 10.12, 10.13(a,c), 10.14(b,d), 10.16, 10.19(b,d)

4)     11.1(ii,iii,v), 11.2(iv,v), 11.3(vi, vii,ix,x), 11.5(ii, iii, iv), 11.6(ii, iii), 11.12, 11.13(iii), 11.14,11.16,11.17, 11.19

5)     9.1 (b,c), 9.2(d), 9.3, 9.4, 9.7, 9.8, 9.9, 9.11, 9.14, 9.15, 9.18, 9.21, 9.21 (i), (iii)

6)     13.1(iv), 13.3(iii,iv), 13.4(iv), 13.5(b), 13.7, 13.10(i,ii,iii), 13.11,13.13, 13.15, 13.16 (iv), 13.19 (i-v)

7)     14.1, 14.3, 14.5, 14.6, 14.8, 14.9, 14.11, 14.14, 14.16, 14.17

 

Solution to Suggested Problems: Please note that in spite of all the effort, still there are some errors in the solutions. Try to find them and if not successful ask the TA.

 

Solution to Chapter 15 Problems

 

Quizzes:  Four quizzes will be given and the best three will be counted. The questions on the quizzes will be related to the assignment questions. Quizzes will take place in the tutorial as follows:

 

1)   Quiz 1   Sept. 23

2)   Quiz 2   Oct. 14

3)   Quiz 3   Nov. 4

4)   Quiz 4   Nov. 25

 

Labs: There will be five compulsory labs during the term. Students must attend all 5 lab sessions. Students will do and prepare their reports individually. Lab schedule is as follows:

 

 

Lab 1

Lab 2

Lab 3

Lab 4

Lab 5

UI

Sept. 29

Oct. 13

Oct. 27

Nov. 10

Nov. 24

UJ

Sept. 27

Oct. 11

Oct. 25

Nov. 8

Nov. 22

UK

Sept. 22

Oct. 6

Oct. 20

Nov. 3

Nov. 17

UL

Sept. 20

Oct. 4

Oct. 18

Nov. 1

Nov. 15

 

There are no lab exemptions for this course. If you are repeating this course you must redo the lab, obtain new data and write a new lab report (including the any prelab). It is an academic offense to submit lab reports or lab data from a previous term.

 

Lab test: The lab tests for all sections will be held during the week of Nov. 28 - Dec. 2, 2016.  More information on the scheduling of the times of the lab tests will be sent by email a week prior to the lab tests.

 See the Lab Guidelines.

 

Grading scheme:

Assignments                       5% (best 3 out of 5)

Quizzes:                             5% (Best 3 out of 4)

Labs                                   15%   (Five compulsory labs)

Lab Test                             5%

Midterm Exam:                   20% 

Final Exam:                        50%

 

Note: Failure to write the Quizzes or the Midterm will result in losing the mark assigned to them (unless a note from Concordia Health Center is provided).

 

Honor Code: All students are expected to respect the academic honor system and abide by the Code of Academic.

 

5. Graduate Attributes

 

The graduate attributes and indicators being assessed in this course are:

 

KB - A knowledge base for engineering: (Demonstrated competence in university level mathematics, natural sciences, engineering fundamentals, and specialized engineering knowledge appropriate to the program)

 

INV - Investigation: An ability to conduct investigations of complex problems by methods that include appropriate experiments, analysis and interpretation of data, and synthesis of information in order to reach valid conclusions.

 

UET - Use of engineering tools: An ability to create, select, apply, adapt, and extend appropriate techniques, resources, and modern engineering tools to a range of engineering activities, from simple to complex, with an understanding of the associated limitations

 

Grad. Attribute

Indicator

CLO

Evaluation Tool

KB - A knowledge base for engineering

ECE-KB-3. Knowledge base in a specific domain (ELEC and COEN)

1, 2

Quizzes, Midterm and Final Exams.

INV – Investigation

ECE-INV-1. Background and hypothesis formulation

ECE-INV-2. Designing experiments

ECE-INV-3. Conducting experiments and collection of data

ECE-INV-4. Analysis and interpretation of data

4, 5, 6

Lab Experiments, Lab Tests and Exam Questions.

UET - Use of engineering tools

ECE-UET-1. Ability to use appropriate tools, techniques, and resources

ECE-UET-3. Demonstrate awareness of limitations of tools, create and extend tools as necessary

7, 8

Lab. experiments and Lab. tests.