Modelling and signal processing

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.

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

Lectures and laboratory exercises.