Signals and Systems

**SFWR ENG 3MX3, Term I 2017-2018**

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).

Monday, Wednesday, Thursday 1:30-2:20 TSH B128

Tutorials:

Fr 3:30PM - 4:20PM ITB 139 Mo 4:30PM - 5:20PM ITB 139 We 11:30AM - 12:20PM ITB 139 Th 3:30PM - 4:20PM ITB 139

ROOMS: By last name, make sure you go to the right room !!!

- A-PIET : TSH B128
- PIPI- XIE : DSB AB102
- XU-Z : TSH B126

Make sure you are on time, the rooms are used after so I can not let you write longer.

To be announced

"Structure and Interpretation of Signals and Systems",
E. Lee, P. Varaiya, ISBN 0-201-74551-8 Addison Wesley

(password protected)

- The DSP discrete fiter tool I showed you. Playing with it really deepens understanding.
- CTFT transform pairs
- DTFT transform pairs
- Wagon wheel link

(Or go to my home page and then to 3MX3)

- There will be two mid-terms and one final.
- There will be a set of practice exercises, but no credit is given for these practice exercises. The material in the practice exercises will be tested in the Midterms and Finals.
- The final examination will be scheduled by the Registrars office in the usual way. It will be two hours in duration and cover the material of the course, handouts and lab-assignments. Calculators (the standard McMaster calculator) will be permitted in the mid-terms and the final.
- Midterm tests will be returned during a the lectures. The ones not picked up will be placed in a pick up box at my office. No responsibility for loss of assignments can be assumed by either instructor or the teaching assistants. Any complains about grading should be done in written and within two weeks of the return date.
- Any mid-term written in pencil can not be remarked.
- The instructor does not accept
late doctors notices, if you write a mid-term then the mark is
yours. If you do not write a test and do not provide
an acceptable doctors notice then it is marked with 0.
**The instructor reserves the right to conduct any deferred exams orally**. - The final grade will be based on the
mid-terms and the two-hour final examination. There is
one marking scheme.
**Midterm 1, 20% , Midterm 2: 20%, Final 60%.** - "The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes."

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

- 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.

"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 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.