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## Syllabus for

SSY080 - Transforms, signals and systems

Owner: TDATA
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: B
Department: 32 - ELECTRICAL ENGINEERING

Teaching language: Swedish

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 No Sp 0106 Examination 5,0 c Grading: TH 5,0 c 21 Oct 2006 am V, 20 Jan 2007 am V, 20 Aug 2007 pm V

#### In programs

TKDAT COMPUTER SCIENCE AND ENGINEERING, Year 3 (compulsory)
TDATA COMPUTER SCIENCE AND ENGINEERING, Year 3 (compulsory)

#### Examiner:

Univ lektor  Ants Silberberg

#### Replaces

TMA780   Mathematics

#### Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

#### Course specific prerequisites

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

#### Aim

Many physical phenomenons can be described by linear systems, i.e. electrical circuits and mechanical systems. This course gives fundamental knowledge about linear systems and their properties and presents methods for how they can be analysed. The course includes continuous as well as discrete signals and systems. The course presents the fundamentals of signals and systems analysis needed for further studies of subjects as automatic control, signal processing, biomedical engineering and communication systems.

#### Goal

Several mathematical tools e.g.Fourier series, Fourier- , Laplace- and the z-transforms can be used to analyze linear systems. This course provides skills in their practical use. Upon completion the student will be able to derive the output signal from linear systems excited by simple input signals (periodic and transient). This course will also give a good understanding of how signals and systems can be represented and analysed in the frequency domain.

#### 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 03 Nov 2022.