Course syllabus

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Course-PM

SSY081 Transforms, signals and systems lp1 HT23 (7.5 hp)

Course is offered by the department of Electrical Engineering

Contact details

Student Representatives

Course purpose

The course will provide fundamental knowledge about linear systems and how they can be used to describe physical phenomena. Different mathematical tools which can be used to calculate the relationship between input and output signals in linear systems will be presented.

Schedule

TimeEdit

Day

Time

Activity

Room

Tuesday-Thursday-Friday

13:15-15:00

Lectures

SB-H8. SB2

Tuesday-Thursday

15:15-17:00

Exercises

SB-H8. SB2

Wednesday

10:00-10:45

Consultation time

EDIT building

7th floor, room 7434A  (Tiffany's office)

To reach Tiffany's office, go to the EDIT building (Entrance from Maskingränd 2). Take Stair F. Go to floor 7.

Course literature

Textbook

Signal Processing and Linear Systems
     International Edition,  B.P. Lathi, Oxford Univ. Press

If you have a different textbook that was used in the same course (SSY080) in the past years, likely you will find similar material.

An example of alternative book is

Signals, systems, and transforms

Phillips, Charles L.

Course design

The course includes

  • lectures held by the examiner
  • exercise sessions held by a teaching assistant (Tiffany)
  • project work that you (the students) will carry out in teams of 4 students
  • online quizzes outside the lectures (graded)
  • online quizzes within the lectures (not graded)

Material will be posted in Canvas. The project implementation requires the use of Python. You should have a computer or smartphone to be able to reply to the quizzes.

Changes made since the last occasion

There are 5 main changes compared to the past year

  1. The project is updated to include signals we will acquire in class
  2. The number of students in a team (to implement the project) is 4 
  3. Allowed material during the written exam
  4. The way the bonus points are calculated
  5. A new teaching assistant join the course

Learning objectives and syllabus

Learning objectives:

  • identify and give examples of different signal types, such as periodic signals, absolutely summable/integrable signals, finite energy signals and band-limited signals.
  • identify important system properties, such as linearity, shift-invariance, causality and BIBO-stability, in examples.
  • select the appropriate transforms (Fourier series, Continuous and Discrete time Fourier transform, Laplace transform, Discrete Fourier transform and z-transform) for a given problem.
  • compute the transforms of commonly used signals in the course.
  • apply transform techniques to find the output of a LTI system, both in continuous and discrete time.
  • identify the Nyquist rate of a band-limited signal.
  • employ the Sampling Theorem to reconstruct band-limited signals from sampled data.
  • interpret plots of the DFT (Discrete Fourier Transform) of a sampled signal.
  • interpret the effect of filters on a given signal.

Link to the syllabus on Studieportalen.

Study plan

Examination form

Mandatory: Written examination + Project work (in teams of 4, report + presentation)

Written exam (4 h)

  • 10 questions (‘quick’ answers, type A, 1 point each), 10 points in total (1x10)

4 points required for passing

  • 3 questions (calculation, type B, 5 points each), 15 points in total (3 x 5)

5 points required for passing

  • Points of type A questions + Points of type B questions + Optional bonus points >= 12 for passing
Points <12 [12,16) [16-21) [21-25]
Final grade U 3 4 5

Written exam is enough to have the possibility to get up to 25 / 25 points, corresponding to a final grade of 5 / 5.

Allowed material during the written exam:
•    A calculator (among those approved by Chalmers)
•    Two A4 pages where you can write by hand whatever you believe it may help you during the exam (e.g., exercises that have been solved in class, definitions, etc). You can write in both faces of the sheet, so you can have 2 pages of handwritten notes in total.
•    In addition, you can have the following tables
o    Trigonometric identities
o    Fourier transforms
o    Fourier transform operations
o    Laplace transforms
o    Laplace transform properties
o    z-Transform
o    z-Transform operations

 

Optional: online quizzes

They give up to 3 / 25 points that can be added to the points obtained from the mandatory examination, to improve the final grade.

Course summary:

Date Details Due