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## Syllabus for

SSY080 - Transforms, signals and systems

Syllabus adopted 2013-02-05 by Head of Programme (or corresponding)
Owner: TKDAT
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Electrical Engineering
Department: 32 - ELECTRICAL ENGINEERING

Teaching language: Swedish
Block schedule: B

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 Summer course No Sp 0106 Examination 7,5c Grading: TH 7,5c 31 Oct 2014 pm M, 05 Jan 2015 pm H 26 Aug 2015 pm V

#### In programs

TKDAT COMPUTER SCIENCE AND ENGINEERING, Year 3 (compulsory)
MPBME BIOMEDICAL ENGINEERING, MSC PROGR, Year 1 (elective)

#### Examiner:

Univ lektor  Ants Silberberg

#### Replaces

TMA780   Mathematics

#### Course evaluation:

http://document.chalmers.se/doc/9b8b4e02-75ae-493a-bd68-e31125b730f6

#### Eligibility:

In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

#### Course specific prerequisites

Calculus in one variable, complex numbers and complex exponential functions. Electric circuits.

#### Aim

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

#### Learning outcomes (after completion of the course the student should be able to)

• identify and give examples of different signal types and summarize important system properties.
• use mathematical tools as Fourier series, Fourier-, Laplace and z-transforms to analyze linear systems.
• derive the output signal from linear systems (continuous and discrete) excited by simple input signals.
• describe the frequency content of a signal using Fourier representations.
• describe the process of sampling, both in time and frequency domain.
• use the frequency response of a linear system to calculate the output signal for a sinusoidal input signal.
• perform a basic interpretation of the Discrete Fourier transform of a sampled signal.

#### Content

Course content:
• Continuous and discrete time signals. Signal models.
• LTI-systems and their properties. Convolution.
• Fourier representation of different kinds of signals and their properties.
• Parseval's theorem.
• Sampling and reconstruction of sampled signals.
• The Discrete Fourier transform (DFT)
• The Laplace- and z-transform.
• Impulse and step response.
• Transfer functions. Frequency response.

#### Organisation

Lectures, tutorials and a laborative exercise.

#### Literature

See course web-page.

#### Examination

• A written exam
• A laborative exercise

Page manager Published: Thu 04 Feb 2021.