TSEI50 Linear Systems

TSEI50 Linear Systems teaches the basics of discrete-time signals and systems and serves as preparation for other courses.

Example of DSP

Course topics

  • Classification of signals and systems
  • Linear and time-invariant systems
  • Stability and Causality
  • Difference equations
  • Convolution
  • Fourier series and Fourier transform, discrete Fourier transform (DFT)
  • z-transform
  • System analysis: Transfer function, poles and zeros, frequency response, stability
  • Sampling and reconstruction, sampling theorem, pulse amplitude modulation
  • Multirate systems, interpolation, decimation
  • Discrete-time filters

Instructors

  • Course director and lecturer: Håkan Johansson
  • Assistants: Daniel Perez Herrera

Course material

  • H. Johansson: Discrete-Time Systems
  • S. Söderqvist: Formler & Tabeller (or any corresponding formulas/tables)

  • Supplementary material: Problems and solutions, material for the labs

Prerequisites

  • Basic course in circuit theory

Information for enrolled students

For detailed lecture, tutorial, and lab plans, see the study room in Lisam: