Instructor(s) | Dr. Dimitri Androutsos [Coordinator] Office: ENG 362 Phone: 555334 / 556104 Email: dimitri@torontomu.ca Office Hours: TBA | ||||||||||||||
Calendar Description | The 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. | ||||||||||||||
Prerequisites | ELE 532 | ||||||||||||||
Antirequisites | None | ||||||||||||||
Corerequisites | None | ||||||||||||||
Compulsory Text(s): |
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Reference Text(s): |
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Learning Objectives (Indicators) | At the end of this course, the successful student will be able to:
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 | ||||||||||||||
Teaching Assistants | Khashayar 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 |
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). | ||||||||||||||
Examinations | Midterm exam in Week 7 (right after reading week), two hours, (covers Weeks 1-6). Final exam, during exam period, three hours. | ||||||||||||||
Other Evaluation Information | Practice 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 Methods | All lectures will be recorded and posted as well as the instructor's notes | ||||||||||||||
Other Information | MAKE 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. |
Week | Hours | Chapters / | Topic, description |
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1 | 3 | Chp 3 Sect 1-3 | Introduction to discrete-time systems and signals. Important signals and operations. |
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 |
No lab information set for course.
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.
You can submit an Academic Consideration Request when an extenuating circumstance has occurred that has significantly impacted your ability to fulfill an academic requirement. You may always visit the Senate website and select the blue radio button on the top right hand side entitled: Academic Consideration Request (ACR) to submit this request.
For Extenuating Circumstances, Policy 167: Academic Consideration allows for a once per semester ACR request without supporting documentation if the absence is less than 3 days in duration and is not for a final exam/final assessment. Absences more than 3 days in duration and those that involve a final exam/final assessment, require documentation. Students must notify their instructor once a request for academic consideration is submitted. See Senate Policy 167: Academic Consideration.
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.
Academic Accommodation Support (AAS) is the university's disability services office. AAS works directly with incoming and returning students looking for help with their academic accommodations. AAS works with any student who requires academic accommodation regardless of program or course load.
Academic Accommodations (for students with disabilities) and Academic Consideration (for students faced with extenuating circumstances that can include short-term health issues) are governed by two different university policies. Learn more about Academic Accommodations versus Academic Consideration and how to access each.
At Toronto Metropolitan University, we recognize that things can come up throughout the term that may interfere with a student’s ability to succeed in their coursework. These circumstances are outside of one’s control and can have a serious impact on physical and mental well-being. Seeking help can be a challenge, especially in those times of crisis.
If you are experiencing a mental health crisis, please call 911 and go to the nearest hospital emergency room. You can also access these outside resources at anytime:
If non-crisis support is needed, you can access these campus resources:
We encourage all Toronto Metropolitan University community members to access available resources to ensure support is reachable. You can find more resources available through the Toronto Metropolitan University Mental Health and Wellbeing website.