| Instructor(s) | Dr. Soosan Beheshti [Coordinator] Office: ENG425 Phone: (416) 979-5000 x 554906 Email: soosan@torontomu.ca Office Hours: Thursdays 10-11 | 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 | BME 532, CEN 199 | ||||||||||||||
| Antirequisites | ELE 632 | ||||||||||||||
| Corerequisites | None | ||||||||||||||
| Compulsory Text(s): |
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| Reference Text(s): | |||||||||||||||
| 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, khashayar.bayati@torontomu.ca Mathew Lam, matthew1.lam@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 | Three Quizzes will be held on Tuesdays January 30, March 12 and April 2, 2024 (first hour of Lecture). Midterm will be held on Tuesday February 27, 2024. Final exam is during the exam period and covers all material from course. All exams are closed book. | ||||||||||||||
| Other Evaluation Information | NOTE: Students must pass both the lecture AND the laboratory components of the course, separately, to pass the course. | ||||||||||||||
| Other Information | Practice problems are provided on the course web page. You are strongly recommended to solve these and any additional problems from the textbook related to course material. Lab experiments are to be completed in partners. Due dates and instructions will be discussed in lab sessions and posted on D2L. It is your responsibility to check these dates and submit your assignments online by the deadlines. Late labs will receive a 0 grade on that lab. For lab experiments, there is a data collection and a data analysis experiment. You will be required to demonstrate both components of these labs to your TA, in addition to a lab write-up. | ||||||||||||||
Week | Hours | Chapters / | Topic, description |
|---|---|---|---|
1 | 3 | Chapter 3 Sections 1-3 | Introduction to discrete-time systems and signals. |
2-3 | 6 | Chapter 3 Sections 3 | Time domain analysis of discrete time systems useful discrete-time signals. |
4 | 3 | Chapter 3 Sections 4-6 | Classification of discrete systems, discrete system equations, system response to internal conditions. |
5 | 3 | Chapter 3 Sections 6-8 | Unit impulse response, system response, BIBO stability criterion. |
6 | 3 | Chapter 3 Sections 8-10 | Convolution and its properties LTI systems and impulse response. |
-- | -- | READING WEEK | |
7 | 3 | MIDTERM | |
8 | 3 | Chapter 5 Sections 1-3 | z-Transform properties inverse transform solution to difference equations. z-Transform system realization frequency response of discrete systems pole-zero analysis stability. |
9 | 3 | Chapter 8 Sections 1-6 | Sampling theorem signal reconstruction. Spectral Sampling DFT properties and applications FFT. |
10 | 3 | Chapter 9 Sections 2-4 | Properties of DTFT system analysis using DTFT digital filters. |
11 | 3 | Chapter 9 Sections 1-2 | Fourier analysis of discrete systems DTFS periodic and aperiodic signal representation. |
12 | 3 | Chapter 9 Sections 5-6 | DTFT connection with CTFT, DTFT and z-Transform. |
13 | 3 | Chapter 5 Section 4-6 | System realization. |
Week | L/T/A | Description |
|---|---|---|
1 | Lab 1 Intro | Lab 1: Introduction to Matlab DSP Toolbox (independent work - no lab session) |
2 | Lab 1 | Lab 1: Pulse Oximetry & Blood Pressure Measurement |
3 | Lab 1 | Lab 1: Pulse Oximetry & Blood Pressure Measurement |
4 | Lab 2 | Lab 2: Electromyogram (EMG) Signals |
5 | Lab 2 | Lab 2: Electromyogram (EMG) Signals |
6 | Lab 2 | Lab 2: Electromyogram (EMG) Signals |
-- | -- | Reading week |
7 | -- | Midterm (no labs) |
8 | Lab 3 | Lab 3: Electrocardiogram (ECG) |
9 | Lab 3 | Lab 3: Electrocardiogram (ECG) |
10 | Lab 3 | Lab 3: Electrocardiogram (ECG) |
11 | Lab 4 | Lab 4: Electroencephalogram (EEG) |
12 | Lab 4 | Lab 4: Electroencephalogram (EEG) |
13 | -- | No labs |
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.
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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.