Modelling and signal processing

Subject description

Introduction. Systems and systems theory, examples of systems, processes.

Signals. Types, power and energy. Basic signals, an introduction to spectral analysis, Fourier series, sampling, digital processing, discrete Fourier transform, digital filtering.

Process modelling. Objectives and relevant guidelines in modelling, types of models, methods of modelling: theoretical and experimental modelling, modelling and simulation as a unified cyclic procedure, examples: car suspension, heating in the room, population dynamics.

Description of mathematical models: differential equations, transfer functions, block diagrams.

Systems analysis in the time domain: influence of poles and zeros, proportional, integral and differential systems, stability.

Simulation: simulation scheme, indirect approach, simulation of transfer functions.

Tools for computer-aided signal processing, system analysis and simulation: Matlab, Signal Processing Toolbox , Control Systems Toolbox , Simulink,  environment for multi-domain object oriented  modelling and simulation Dymola – Modelica.

Objectives and competences

Students obtain the basic knowledge of systems theory, signal processing, theoretical modelling, simulation of continuous dynamical systems. They become familiar with Matlab-Simulink environment.

Teaching and learning methods

Lectures and laboratory exercises.

Expected study results

After successful completion of the course, students should be able to:

-describe signals in the time domain,

– find the frequency spectrum of signals,

-develop mathematical models of simple processes,

– select a computer tool for modelling and signals processing,

– use the Matlab-Simulink computer tool,

-develop simple simulation models.

Basic sources and literature

Osnovna/basic:

1. B. Zupančič, Modeliranje in obdelava signalov, delovna verzija učbenika,  Univerza v Ljubljani, Fakulteta za elektrotehniko, 2017.
2. S. Oblak, I. Škrjanc, Matlab s Simulinkom : priročnik za laboratorijske vaje, 1. izdaja, Založba FE in FRI, Univerza v  Ljubljani, Fakulteta za elektrotehniko, 2005.