Course syllabus for Signals and systems

Course syllabus adopted 2021-02-08 by Head of Programme (or corresponding).

Overview

  • Swedish nameSignaler och system
  • CodeSSY043
  • Credits6 Credits
  • OwnerTKAUT
  • Education cycleFirst-cycle
  • Main field of studyAutomation and Mechatronics Engineering
  • DepartmentELECTRICAL ENGINEERING
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 47125
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0121 Examination 6 c
Grading: TH
6 c
  • 16 Mar 2023 pm J
  • 08 Jun 2023 am J
  • 25 Aug 2023 pm J

In programmes

Examiner

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Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

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

Aim

The purpose of the course is to provide fundamental knowledge of how basic signals (continuous and discrete) can be described by mathematical models and furthermore how the relation between input- and output signals can be derived for linear systems in the time- and frequency domains. The course should also introduce Matlab as a tool for signal analysis and to study the characteristics of linear dynamic systems.

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 of LTI systems.
  • The system descriptions: Transfer functions and Frequency response.

Organisation

Lectures, tutorials and a laborative exercise.

Literature

See course web-page.

Examination including compulsory elements

  • A written exam
  • A laborative exercise

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.