Signals and Systems
FEKT-BPC-SASAcad. year: 2019/2020
Introduction, motivation, types of signals. Continuous-time signals, Fourier transform, spectrum. Linear continuous-time systems, input-output description. Stability. Discrete time-signals, sampling. Discrete Fourier transform, spectrum. Linear discrete-time systems, input-output description. Stability of the discrete-time systems. Discretization of continuous-time systems.
Learning outcomes of the course unit
An absolvent is able to:
- compute a freguency spectrum of continuos periodic and non- periodic signal
- demonstrate an input-output description of linear continuos system
- decide about stability of linear continuous system
- compute a freguency spectrum of discrete periodic and non- periodic signal
- demonstrate an input-output description of linear discrete system
- decide about stability of linear discrete system
- convert continuous system on discrete system
Recommended optional programme components
Recommended or required reading
JURA, Pavel. Signály a systémy. Elektronické skriptum (část I, II, III), třetí opravené vydání, Brno 2016. (CS)
Chi-Tsong Chen:System and Signal Analysis,Saunders College publishing, 1994. (EN)
OPENHEIM, Alan, WILSKY, Alan. Signals and Systems. Second edition. New Jersey: Prentice Hall 1997, 957 s. ISBN 0-13-814757-4. (CS)
Jura P.: Signály a systémy. Elektronické skriptum, část I, II, III, třetí opravené vydání, 2016 (CS)
CHI-TSONG CHEN. System and Signal Analysis. Oxford University press 2004. 424 s. ISBN 0-19-515661-7. (CS)
Planned learning activities and teaching methods
Teaching methods include lectures with demonstrations of practical computations, and computer labs. Students have to write 4 tests during the semester and draw up 1 individual project.
Assesment methods and criteria linked to learning outcomes
20 points for 4 small tests during semestr
10 points for individual tasks and project
50 points for semestr written exam
20 points for semestr oral exam
Language of instruction
Introduction, motivation, continuos time signals.
Fourier transform, frequency spectrum.
Linear, continuous-time systems, differential equation, Laplace transform.
Transfer function, zeros and poles, frequency response.
Frequency characteristics of the linear system.
Step response, impulse response.
Stability of the continuous-time systems.
Discrete-time signals, sampling of the continuous-time signal.
Discrete Fourier transform, the spectrum of the discrete time signal.
Discrete-time system, difference equation, Z transform.
Transfer function, zeros and poles, frequency response, frequency characteristics.
Step response, impulse response. Stability of the discrete systems. Discretization of continuous-time systems.
To acquaint with the fundamentals of signals and systems with the continuous and discrete time. To learn to apply the fundamentals to real signals and systems.
Specification of controlled education, way of implementation and compensation for absences
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.