Study Guide@lith

Linköping Institute of Technology

Valid for year : 2017
TSEI50 Linear Systems, 6 ECTS credits.
/Linjära system/

For:   EL  


Prel. scheduled hours: 64
Rec. self-study hours: 96

  Area of Education: Technology

Main field of studies: Electrical Engineering

  Advancement level (G1, G2, A): G1

The aim of the course is to give basic knowledge about methods for the analysis of linear discrete-time systems and to serve as preparation for other courses. After the course, the student is expected to be able to:
  • analyze and perform computations on discrete-time systems,
  • use transforms to solve problems within discrete-time systems,
  • analyze and perform computations on mixed continuous-time/discrete-time systems (sampling and reconstruction),
  • use computer programs to solve problems within discrete-time systems.

Prerequisites: (valid for students admitted to programmes within which the course is offered)
Calculus, Linear algebra, Circuit Theory

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
Automatic Control, Digital Filters.

The course is organised in lectures/lessons and laboratory work.

Course contents:
Signals and systems. Classification of signals. Classification of systems. System analysis. Discrete-time signals and systems. Difference equations. Convolution. Stability. Representation of linear discrete-time systems. Applications. Analysis with the z-transform. Transfer function. Poles and zeros. Stability and causality. Frequency response. Fourier transform. Sampling and reconstruction. The sampling theorem. Systems with different sampling frequencies. Fourier series. DFT. Introduction to discrete-time filters.

Course literature:
H. Johansson: Discrete-Time Systems.
Material handed out during the course.

Written examination
Labratory work
4,5 ECTS
1,5 ECTS

Course language is English.
Department offering the course: ISY.
Director of Studies: Klas Nordberg
Examiner: Håkan Johansson
Link to the course homepage at the department

Linköping Institute of Technology


Contact: TFK ,
Last updated: 03/06/2015