Common Theory of Signals and Systems

The course Common Theory of Signals and Systems is intended primarily for doctoral students in electrical engineering at VSB TU FEI Ostrava. The purpose of the course is to provide a common background for study in control, communication and digital signal processing. The course Common Theory of Signals and Systems offers sophisticated discussion to the theme of VSB TU Ostrava master courses Signals and Systems I (continuous-time signals and systems) and Signals and Systems II (discrete-time and digital signals and systems).
The course introduces fhe following five major topics:

1. Common concepts (linear systems, LTIL systems, continuous-time signals and systems, discrete-time signals and systems, impulse response, convolutions, description of the continuous-time system by differential equation, description of the discrete-time system by difference equation)
2. Signal analysis (the Fourier series and the Fourier transform, discrete-time Fourier transform and z-transform, orthogonal approximation)
3. System analysis (the differential equations, Laplace transform, the difference equations and z-transform)
4. Stabilities and their implications (stability in the sence of Lyapunov and BIBO stability of continuous-time and discrete-time systems)
5. State variable equations and computer simulations (numerical methods, numerical stability, round-off error, simulation means)

The student is assumed to have had courses in physics, electronic circuit analysis, differential equations, difference equations and liner algebra. Knowledge of the signal and system analysis presented in the master courses Signals and Systems I and Signals and Systems II is helpfull.