# Course Outline (F2019)

## ELE532: Signals and Systems I

Instructor(s)Dimitri Androutsos [Coordinator]
Office: ENG472
Phone: (416) 979-5000 x 555334 / 6104
Email: dimitri@ryerson.ca
Office Hours: TBA

Soosan Beheshti
Office: ENG425
Phone: (416) 979-5000 x 4906
Email: soosan@ryerson.ca
Office Hours: Friday 12pm-1pm

Calendar DescriptionThis course deals with the analysis of continuous-time and discrete-time signals and systems. Topics include: representations of linear time-invariant systems, representations of signals, Laplace transform, transfer function, impulse response, step response, the convolution integral and its interpretation, Fourier analysis for continuous-time signals and systems and an introduction to sampling.
PrerequisitesCEN 199, COE 318, ELE 302, MTH 312, MTH 314, ELE 404 and COE 428
Antirequisites

None

Corerequisites

None

Compulsory Text(s):
1. B.P. Lathi, Linear Systems and Signals, 3rd edition, Oxford University Press, 2018.
2. Laboratory MATLAB assignment descriptions and procedures, and assignment problems are available from the course home page on D2L Brightspace via my.ryerson.ca.
Reference Text(s):
1. M. J. Roberts, Signals and Systems: Analysis Using Transform Methods and MATLAB, McGraw Hill, 2004.
Learning Objectives (Indicators)

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

1. - Learn properties of linear time-invariant (LTI) systems. - Learn time-domain and frequency-domain analysis of continuous-time signals and LTI systems. - Learn analog-to-digital and digital-to-analog conversion techniques. (1b)
2. - Learn mathematical foundations of frequency- domain analysis techniques (Fourier series, Fourier transform, Laplace transform) applicable to continuous-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. (2b)
4. (4b), (7a), (7c), (12a)
5. - Uses Matlab/Simulink as a signal analysis, simulation and visualization tool. - Generates system models using simulation tools to verify system properties and perform signal operations. (5a)

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/tutorial per week for 12 weeks

Teaching AssistantsSepehr Ataei (s2ataei@ryerson.ca)
Farah Nassif (fnassif@ryerson.ca)
Justin Pontalba (jpontalba@ryerson.ca)
Mahdi Shamsi (mahdi.shamsi@ryerson.ca)
Michael Zara (mzara@ryerson.ca)
Course Evaluation
Theory
Quizzes (4 X 3 Marks) 12 %
Midterm Examination 25 %
Final Examination 45 %
Laboratory
Laboratory (MATLAB) Assignments 12 %
Matab Quiz 6 %
TOTAL:100 %

Note: In order for a student to pass a course with "Theory and Laboratory" components, in addition to earning a minimum overall course mark of 50%, 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 for details on the Theory and Laboratory components.

ExaminationsMidterm Examination: Week 7, Wednesday, October 16; 2 hours duration; problem based; covers weeks 1–6.

Final Examination: During exam period; 3 hours duration; problem based; covers the entire course material.
Other Evaluation InformationQuizzes will be a homework problem from the assigned problem sets.

Quizzes will be done in the lab/tutorial time as indicated on the course calendar.

Other InformationNone

### Course Content

Week

Hours

Chapters /
Section

Topic, description

1

3

Chapter 1, Sections 1–5

Introduction to Continuous-Time (CT) signals.

2

3

Chapter 1, Sections 6–10

Systems classification and properties.

3

3

Chapter 2 ,Sections 1–3

Time-domain analysis of CT systems. Solution of differential equations of systems, system response, impulse response

4

3

Chapter 2, Sections 4-6

Convolution

5

3

Chapter 6, Sections 4-6

Convolution examples, system response, stability

6

1

Chapter 6, Sections 1-3

The Fourier series

7

2

MIDTERM EXAM (2 hrs duration)

7

1

Chapter 6, Sections 3-4

Fourier Series (continued), examples, properties, system response

8

3

Chapter 7, Sections 1–3

The Fourier Transform

9

3

Chapter 7, Sections 3-7

Fourier Transform properties, filtering

10

3

Chapter 7, Sections 5–6

Fourier Transform examples and applications

11

3

Chapter 8, Sections 1–2

The Sampling Theorem

12

3

Chapter 4, Sections 1–4

The Laplace transform properties solutions to differential and integro-differential equations.

13

3

Chapter 4, Sections 5-6

Block diagrams system realization

### Laboratory/Tutorials/Activity Schedule

Week

Lab

Description

2

M1

Matlab Tutorial #1 (Mandatory)

3

T1

Tutorial #1

4

M2, Q1

1st HOUR: Matlab Tutorial #2

2nd HOUR: Quiz #1

5

T2

Tutorial #2

6

M3, Q2

1st HOUR: Matlab Tutorial #3

2nd HOUR: Quiz #2

8

T3

Tutorial #3

9

T4

Tutorial #4

10

M4, Q3

1st HOUR: Matlab Tutorial #4

2nd HOUR: Quiz #3

11

T5

Tutorial #5

12

M5, Q4

1st HOUR: Matlab Tutorial #5

2nd HOUR: Quiz #4

13

MQ

Matlab Quiz

### Policies & Important Information:

1. Students are required to obtain and maintain a Ryerson e-mail account for timely communications between the instructor and the students;
2. Any changes in the course outline, test dates, marking or evaluation will be discussed in class prior to being implemented;
3. Assignments, projects, reports and other deadline-bound course assessment components handed in past the due date will receive a mark of ZERO, unless otherwise stated. Marking information will be made available at the time when such course assessment components are announced.
4. Refer to our Departmental FAQ page for information on common questions and issues at the following link: https://www.ee.ryerson.ca/guides/Student.Academic.FAQ.html.

### Missed Classes and/or Evaluations

When possible, students are required to inform their instructors of any situation which arises during the semester which may have an adverse effect upon their academic performance, and must request any consideration and accommodation according to the relevant policies as far in advance as possible. Failure to do so may jeopardize any academic appeals.

1. Health certificates - If a student misses the deadline for submitting an assignment, or the date of an exam or other evaluation component for health reasons, they should notify their instructor as soon as possible, and submit a Ryerson Student Health Certificate AND an Academic Consideration Request form within 3 working days of the missed date. Both documents are available at https://www.ryerson.ca/senate/forms/medical.pdf.. If you are a full-time or part-time degree student, then you submit your forms to your own program department or school;
2. Religious, Aboriginal and Spiritual observance - If a student needs accommodation because of religious, Aboriginal or spiritual observance, they must submit a Request for Accommodation of Student Religious, Aboriginal and Spiritual Observance AND an Academic Consideration Request form within the first 2 weeks of the class or, for a final examination, within 2 weeks of the posting of the examination schedule. If the requested absence occurs within the first 2 weeks of classes, or the dates are not known well in advance as they are linked to other conditions, these forms should be submitted with as much lead time as possible in advance of the absence. Both documents are available at www.ryerson.ca/senate/forms/relobservforminstr.pdf. If you are a full-time or part-time degree student, then you submit the forms to your own program department or school;
3. Academic Accommodation Support - Before the first graded work is due, students registered with the Academic Accommodation Support office (AAS - www.ryerson.ca/studentlearningsupport/academic-accommodation-support) should provide their instructors with an Academic Accommodation letter that describes their academic accommodation plan.

Ryerson's Policy 60 (the Academic Integrity policy) applies to all students at the University. Forms of academic misconduct include plagiarism, cheating, supplying false information to the University, and other acts. The most common form of academic misconduct is plagiarism - a serious academic offence, with potentially severe penalties and other consequences. It is expected, therefore, that all examinations and work submitted for evaluation and course credit will be the product of each student's individual effort (or an authorized group of students). Submitting the same work for credit to more than one course, without instructor approval, can also be considered a form of plagiarism.

Suspicions of academic misconduct may be referred to the Academic Integrity Office (AIO). Students who are found to have committed academic misconduct will have a Disciplinary Notation (DN) placed on their academic record (not on their transcript) and will normally be assigned one or more of the following penalties:

1. A grade reduction for the work, ranging up to an including a zero on the work (minimum penalty for graduate work is a zero on the work);
2. A grade reduction in the course greater than a zero on the work. (Note that this penalty can only be applied to course components worth 10% or less, and any additional penalty cannot exceed 10% of the final course grade. Students must be given prior notice that such a penalty will be assigned (e.g. in the course outline or on the assignment handout);
3. An F in the course;
4. More serious penalties up to and including expulsion from the University.

The unauthorized use of intellectual property of others, including your professor, for distribution, sale, or profit is expressly prohibited, in accordance with Policy 60 (Sections 2.8 and 2.10). Intellectual property includes, but is not limited to:

1. Slides
2. Lecture notes
3. Presentation materials used in and outside of class
4. Lab manuals
5. Course packs
6. Exams