TORONTO METROPOLITAN UNIVERSITY

Course Outline (W2024)

ELE632: Signals and Systems II

Instructor(s)Dr. Dimitri Androutsos [Coordinator]
Office: ENG 362
Phone: 555334 / 556104
Email: dimitri@torontomu.ca
Office Hours: TBA
Calendar DescriptionThe topics covered in the course includes a general discussion on discrete signals (periodic signals, unit step, impulse, complex exponential), a general discussion on discrete systems, Discrete-Time Fourier Series (DTFS), Discrete-Time Fourier Transform (DTFT); analysis and synthesis, Fourier Spectra; continuous nature, periodicity, existence, Properties of the DTFT; linearity, conjugation, time/frequency reversal, time/frequency shifting, etc. LTI discrete time system analysis using DTFT, DTFT and Continuous-Time FT comparison and relation, DFT and FFT discussion and their relation to DTFT and CTFT, Discrete-Time Sampling, Z-Transform; generalization of the DTFT.
PrerequisitesELE 532
Antirequisites

None

Corerequisites

None

Compulsory Text(s):
  1. B.P. Lathi, Linear Systems and Signals, 3rd edition, Oxford University Press, 2018.
Reference Text(s):
  1. M. J. Roberts, Signals and Systems, 2nd edition, McGraw Hill, 2011.
Learning Objectives (Indicators)  

At the end of this course, the successful student will be able to:

  1. Learn mathematical foundations of frequency-domain analysis techniques (Discrete-Time Fourier series, Discrete-Time Fourier transform, z-transform) applicable to discrete-time signals and systems. Learn the mathematical relations and mapping between continuous-time and discrete-time techniques. (1b)
  2. Learn properties of discrete-time, linear time-invariant (LTI) systems. Learn time-domain and frequency-domain analysis of discrete-time signals and systems. Learn the differences between continuous-time and discrete-time signals and systems. (1c)
  3. Determine system output for a given input signal using time and frequency domain techniques. Learn to select the most appropriate and efficient solution technique based on the information and mathematical models provided. Identify system characteristics required to shape and modify signal characteristics such as in filtering and relate these characteristics to system parameters (pole-zero locations). (2b)
  4. Applies engineering principles to analyze signals using time- and frequency-domain techniques, identifies signal parameters (bandwidth, signal-to- noise ratio) including potential distortion components at various points within a signal processing model. Uses analyzed and measured signal characteristics to formulate discrete-time systems to shape signal (e.g. filtering, elimination of distortion components) Develops software to implement the required signal shaping Measures the effectiveness of the design by testing it with test signals. (4b)
  5. Use Matlab/Simulink as a signal analysis, simulation and visualization tool. Generate system models using simulation tools to verify system properties and perform signal operations. (5a)
  6. Read and appropriately respond to technical and non-technical written instructions. Cites evidence to construct and support an argument. Produce five lab reports using appropriate format, grammar, and citation styles for technical and non-technical audiences. (7a)
  7. Illustrate concepts of discrete-time signals and systems through graphical presentation of their properties. (7c)
  8. Finding relationship between signals, building a signal based on other existing basis, digital signal processing and its practical issues that can be well explained with the theory. (12a)

NOTE:Numbers in parentheses refer to the graduate attributes required by the Canadian Engineering Accreditation Board (CEAB).

Course Organization

3.0 hours of lecture per week for 13 weeks
2.0 hours of lab per week for 12 weeks
0.0 hours of tutorial per week for 12 weeks

Teaching AssistantsKhashayar BAYATI: khashaya.bayati@torontomu.ca
 Michael NIGRO: michael.nigro@torontomu.ca
 Randy TAN: randy.tan@torontomu.ca
 Seungho CHOE: seungho.choe@torontomu.ca
 Lianna MARRAFFINO: lianna.marraffino@torontomu.ca
Course Evaluation
Theory
Midterm Exam 25 %
Quizzes 15 %
Final Exam 40 %
Laboratory
Lab Assignments 20 %
TOTAL:100 %

Note: In order for a student to pass a course, a minimum overall course mark of 50% must be obtained. In addition, for courses that have both "Theory and Laboratory" components, the student must pass the Laboratory and Theory portions separately by achieving a minimum of 50% in the combined Laboratory components and 50% in the combined Theory components. Please refer to the "Course Evaluation" section above for details on the Theory and Laboratory components (if applicable).


ExaminationsMidterm exam in Week 7 (right after reading week), two hours, (covers Weeks 1-6).
 Final exam, during exam period, three hours.
Other Evaluation InformationPractice Problems/Assignments:  Assignment problems and their solutions will be provided on D2L. These assignments will neither be collected nor graded; they are provided only as a study guide.  You are strongly recommended to attempt to solve the problems on your own without looking at the solutions first.   If you have any question about an assignment problem or its respective solution, please consult the course instructor or the teaching assistant during their consulting hours.
 
 Lab marks are based on completion of assignments and reports.  Students will have the responsibility to achieve a working knowledge of the software package that will be used for the lab assignments.  Students will work in INDIVIDUALLY.
Teaching MethodsAll lectures will be recorded and posted as well as the instructor's notes
Other InformationMAKE SURE that you familiarize yourself with the ECB Department's FAQ pages.  Specifically, FAQs #1, #2, #3 and #4 regarding missing assessments.
 
 Religious Observances: If a student is requesting accommodation due to a religious, Aboriginal and/or spiritual observance, they must submit their request via the online Academic Consideration Request (ACR) system within the first two weeks of the class or, for a final examination, within two weeks of the posting of the examination schedule. If the required absence occurs within the first two weeks of classes, or the dates are not known well in advance as they are linked to other conditions, these requests should be submitted with as much lead time as possible in advance of the required absence.
 

Course Content

Week

Hours

Chapters /
Section

Topic, description

1

3

Chp 3 Sect 1-3

Introduction to discrete-time systems and signals. Important signals and operations.
 Periodicity.


2

3

Chp 3 Sect 3-4

Time domain analysis of discrete time systems:  linearity, time-invariance, causality, memory
 


3

3

Chp 3 Sect 4-6

Classification of discrete systems system equations system response to internal conditions.
 


4

3

Chp 3 Sect 7-8

Impulse Response and Convolution. Interconnected Systems.
 


5

3

Chp 3 Sect 8-9, Chapter 9, Sect 1

More convolution; Stability; Discrete-Time Fourier Series (DTFS) intro.


6

3

Chp 9 Sect 1-2

Discrete-Time Fourier Series (DTFS)


7

3

Chp 9 Sect 2

Discrete-Time Fourier Transform (DTFT)


8

3

Chp 5 Sect 2--54

DTFT properties, system analysis, filters.


9

3

Chp 8 Sect 4-6

Spectral Sampling,the DFT, DFT properties and applications, zero-padding, the FFT.


10

3

Chp 5 Sect 1,2,3

z-Transform intro; Inverse z-Transform; z-Transform properties, difference equations.


11

3

Chp 9 Sect 5,6,8

Frequency response; pole-zero analysis; stability;


12

3

Chp 9 Sect 4,6,8

Regions-of-Convergence; Bilateral z-Transform;z-Transform system realization


Laboratory(L)/Tutorials(T)/Activity(A) Schedule

No lab information set for course.

University Policies & Important Information

Students are reminded that they are required to adhere to all relevant university policies found in their online course shell in D2L and/or on the Senate website

Refer to the Departmental FAQ page for furhter information on common questions.

Important Resources Available at Toronto Metropolitan University

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