Signals and Systems for SEE
FEKT-BPC-SASBAcad. year: 2020/2021
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)
OPENHEIM, Alan, WILSKY, Alan. Signals and Systems. Second edition. New Jersey: Prentice Hall 1997, 957 s. ISBN 0-13-814757-4. (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
Teachning methods include lectures with demonstrations of practical computations. Students have to write 4 tests during the semester.
Assesment methods and criteria linked to learning outcomes
30 points for 4 small tests during semestr
50 points for written exam
20 points for 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.
Classification of course in study plans
- Programme BPC-SEE Bachelor's, 2. year of study, winter semester, 5 credits, compulsory