Teaching staff
- André Kokkeler (contact person)
- Niek Moonen
- Anastasia Lavrenko
- Tom Hartman
Course description
This course starts with a general introduction to continuous linear systems, signals and their properties. After this general approach, a method to solve general linear differential equations is presented. Stability and the state space representation are further explored.
Periodic signals can often be represented by Fourier series. The effect of LTI filtering of periodic signals is studied. The Fourier series are generalized to the Fourier transform. Several properties of the Fourier transform are studied, including the effect of LTI filtering.
The Fourier transform can be further generalized to the Laplace transform. Several properties are studied. The effect of LTI filtering, the role of the Laplace transform in solving linear differential equations and state space equations and stability will be discussed. Some topics in analog filter design are presented: dependency of frequency response on poles and zeros of transfer function, classic low pass filters (Butterworth, Chebyshev and elliptic) are presented and how they can be transformed into general filters. Module 8 will pick up the discrete counterpart of CLS, including sampling.
Study material
Signal Processing and Linear Systems, B.P. Lahti, Oxford University Press, ISBN 978-0-19-539257-9
More information
More information on the course can be found on Osiris (CLS and Linear Systems for Pre-Master).