TORONTO METROPOLITAN UNIVERSITY

Course Outline (W2024)

BME632: Signals and Systems II

Instructor(s)Dr. Soosan Beheshti [Coordinator]
Office: ENG425
Phone: (416) 979-5000 x 554906
Email: soosan@torontomu.ca
Office Hours: Thursdays 10-11
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.
PrerequisitesBME 532, CEN 199
AntirequisitesELE 632
Corerequisites

None

Compulsory Text(s):
  1. B.P. Lathi, Linear Systems and Signals, 3rd edition, Oxford University Press, 2017.
Reference Text(s):
Learning Objectives (Indicators)  

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

  1. Learn how to represent, analyze, and perform operations on discrete-time signals and systems. Be able to understand the process of generating discrete-time signals and building simple discrete-time systems. (1c)
  2. Be able to characterize input-output relationships in biomedical signals and systems using time, frequency (DTFT, DFT, FFT) and z-domains. Learn about signal generation (ECG, EMG, EEG), acquisition and analysis of complex biomedical signals and systems. (1d)
  3. Describe differences between different evaluation methods and select and apply appropriate evaluation methods. Describe differences between methods, and use specified methods in hypothetical design situations. More specifically: learn frequency analysis of discrete-time signals and LTI systems and describe differences between Fourier transform and Fourier series analysis. Perform both Fourier transform and Fourier series in hypothetical design and analysis of signals and LTI systems (4b)
  4. Collect and analyze biomedical signals using a signal acquisition system and Matlab. Ensure signals are correctly acquired through visual and automated analysis, investigate physiological behaviour of signals, quantify performance of algorithms through various metrics in Matlab. (5b)
  5. Read and appropriately respond to technical and non-technical written instructions. Cites evidence to construct and support an argument. Produce four lab reports using appropriate format, grammar, and citation styles for technical and non-technical audiences. (7a)
  6. Emphasis on bridging the medical and engineering uses of biomedical signals. Creating technologies that can make the job of the physician more accurate and efficient. (9b)
  7. Ensure that data is collected and stored anonymously. (10a)
  8. Students are referred to textbook, lab manual and other material to ensure labs and lecture material are learned. (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, khashayar.bayati@torontomu.ca
 
 Mathew Lam, matthew1.lam@torontomu.ca
Course Evaluation
Theory
Midterm Exam 25 %
Quizzes ( 3 x 5% ) 15 %
Final Exam 40 %
Laboratory
Labs 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).


ExaminationsThree 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 InformationNOTE: Students must pass both the lecture AND the laboratory components of the course, separately, to pass the course.
 
Other InformationPractice 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.

Course Content

Week

Hours

Chapters /
Section

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.


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

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

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

Accessibility

Academic Accommodation Support

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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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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:

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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.