McMaster University
Signals and Systems
SFWR ENG 3MX3, Term I 2018-2019
Instructor
Dr. M. v. Mohrenschildt, ITB 164, mohrens
Office hours: Most things we can solved when you come to me before or
after the lecture. We find a general time for office hours
or by appointment (please e-mail for appointment).
Lectures, Tutorials
Lectures: Monday, Thursday 12:30PM - 1:20PM, Tuesday 1:30PM - 2:20PM, HE 264
Tutorials:
Tu 12:30PM - 1:20PM BSB 105,
Th 11:30AM - 12:20PM ETB 238,
Mo 1:30PM - 2:20PM ABB B118 ,
Tu 2:30PM - 3:20PM BSB 121,
Notices
Online material/assignments here
- There are no tutorials in the first week.
- MID_TERM DATES
GO TO THE RIGHT ROOM !! I did send an email to each student with the room assigment:
- MID2: Tue November 13 1:30-2:30
The 50 from the Tu 2:30PM - 3:20PM tutorial and write in UH 213
THe 54 from the Tu 12:30PM - 1:20PM write in UH 213
All others wirte in KTH B135.
Teaching Assistants
- Chang Liu liuc56@mcmaster.ca
- xi wang wangx272@mcmaster.ca
- STEPHEN WYNN-WILLIAMS wynnwisj@mcmaster.ca
- Ahmed Doghri doghria@mcmaster.ca
Book
The book is not required, but the course uses the notation form this book
and covers most topics from this book.
"Structure and Interpretation of Signals and Systems",
E. Lee, P. Varaiya, ISBN 0-201-74551-8 Addison Wesley
- Chapter 5: 5.1
- Chapter 5 done
- Now going 7.1 to 7.4, then 8.1 and 8.2 (then back to 7.5)
- 8
- 9 Filtering, note we added filter design by zero placement
- 10 The four fourier transforms
- 11 Sampling and Reconstruction
- 12 and 13, Laplace and Z-transform
Course Information on Web
The course material (assignments, solutions) is posed here
(password protected)
- Sinodials and circles (they have nice animations that you might like)
fourier
- Fourier Java applet here
- The DSP discrete fiter tool I showed you. Playing with it really deepens understanding.
- CTFT transform pairs
- DTFT transform pairs
- Wagon wheel link
http://www.cas.mcmaster.ca/~mohrens/3mx3/outline.html.
(Or go to my home page and then to 3MX3)
Grades, Mid-terms, and Exams
Major Topics
The following outline is approximate.
- Signals: Continuous, Discrete
- Systems: Continuous, Discrete, Models, States,
Differential and Difference Equations.
- Linear Time-Invariant Systems (LTI): Representation, Delay,time invariance,
Impulse Response.
- Frequency Domain: Fourier Series, Complex Fourier series,
Frequency Response, Convolution
- Filters: FIR Filters, IIR Filters, design and implementation
- Fourier Transforms
- Sampling Theorem: Aliasing, Nyquist-Shannon Sampling Theorem
Applications and examples are given throughout the course.
Learning Objectives
Learning objectives are measured and reported to the CEAB as part of the accreditation process.
- Students should know and understand
- Period, Frequency, and normalized frequency for continuous and discrete signals
- Discrete Linear Time Invariant systems, difference equation, state space equation, impulse response, convolution
- The frequency domain. Periodic signals and series, Frequency response, complex exponentials
Fourier transform from discrete and continuous systems.
- Filtering, design of simple second order discrete filters.
- The properties of transforms and applications
- Sampling Theorem, Aliasing
- Block diagrams, feedback loop
- Stability (BIBO) of LTI systems (discrete and continuous) Laplace transform, Z transform, concepts related to signal processing and control.
- Students should be able to
- Transform LTI systems between their different representations (difference equation, state space, impulse response, frequency response, block diagrams.
- Compute the transform of simple signals by hand (constants, impulses, sinodials, ...
- Show understanding in complex numbers, complex exponentials and their application to signals, systems, and applications suck as filtering, and control
- Model simple systems like compound interest, harmonic oscillator, simple feedback loop, ... as systems and use impulse response and transfer function to analyze them
- Design simple digital filters by placing zeros.
Discrimination
"The Faculty of Engineering is concerned with ensuring an
environment that is free of all adverse discrimination. If there is
a problem that cannot be resolved by discussion among the persons
concerned individuals are reminded that they should contact there
Chair, the Sexual Harassment Office or the Human Rights Consultant,
as soon as possible."
Academic Dishonesty
You are expected to exhibit honesty and use ethical behavior in all aspects of the learning
process.
Academic credentials you earn are rooted in principles of honesty and academic integrity.
Academic dishonesty is to knowingly act or fail to act in a way that results or could
result in unearned academic credit or advantage. This behavior can result in serious
consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the
transcript
(notation reads: "Grade of F assigned for academic dishonesty?") and/or
suspension or expulsion from the university.
It is your responsibility to understand what constitutes academic dishonesty. For information
on the various types of academic dishonesty please refer to the Academic Integrity Policy,
located at
http://www.mcmaster.ca/academicintegrity .
The following illustrates only three forms of academic dishonesty:
- Plagiarism, e.g. the submission of work that is not one's own or for which other
credit has been obtained.
- Improper collaboration in group work.
- Copying or using unauthorized aids in tests and examinations.
Calculators
Calculators (the standard McMaster calculator) are used in this course
and their use will be permitted during tests and final.