Course detail
Signals and Systems for SEE
FEKT-BPC-SASBAcad. year: 2025/2026
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.
Language of instruction
Czech
Number of ECTS credits
5
Mode of study
Not applicable.
Guarantor
Entry knowledge
Differential and integral calculus one variable, complex numbers, Fourier series, Fourier transform, linear differential equations, Laplace transform, linear difference equation, Z transform.
Rules for evaluation and completion of the course
20 points for 3 small tests (projects) during semestr
80 points for final exam
The content and forms of instruction in the evaluated course are specified by a regulation issued by the guarantee of the course and updated for every academic year.
80 points for final exam
The content and forms of instruction in the evaluated course are specified by a regulation issued by the guarantee of the course and updated for every academic year.
Aims
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.
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
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
Study aids
Not applicable.
Prerequisites and corequisites
- compulsory prerequisite
Electrical Engineering 1 - compulsory prerequisite
Electrical Engineering 2 - compulsory prerequisite
Mathematics 2 - compulsory prerequisite
Mathematics 1
Basic literature
JURA, Pavel. Signály a systémy. Elektronické skriptum (část I, II, III), třetí opravené vydání, Brno 2016. (CS)
JURA, Pavel, TŮMA Martin a JIRGL Miroslav. Signály a systémy – sbírka příkladů, čtvrté opravené vydání, Brno 2024. (CS)
JURA, Pavel, TŮMA Martin a JIRGL Miroslav. Signály a systémy – sbírka příkladů, čtvrté opravené vydání, Brno 2024. (CS)
Recommended reading
Not applicable.
Classification of course in study plans
Type of course unit
Lecture
52 hod., optionally
Teacher / Lecturer
Syllabus
Introduction, motivation, continuous-time signals.
Fourier transform, fequency spectrum. Examples.
Linear, continuous-time systems, differential equation, Laplace transform. Examples.
Transfer function, zeros and poles, frequency response. Examples.
Frequency characteristics of the linear system. Examples.
Step response, impulse response. Examples.
Stability of the continuous-time systems. Examples.
Discrete-time signals, sampling of the continuous-time signal. Examples.
Discete Fourier transform, the spectrum of the discrete-time signal. Examples.
Discrete-time system, difference equation, Z transform. Examples.
Transfer function, zeros and poles, frequency response, fequency characteristics. Examples.
Step response, impulse response, stability of the discrete-time systems. Examples.
Discretization of continuous-time systems. Examples.
Fourier transform, fequency spectrum. Examples.
Linear, continuous-time systems, differential equation, Laplace transform. Examples.
Transfer function, zeros and poles, frequency response. Examples.
Frequency characteristics of the linear system. Examples.
Step response, impulse response. Examples.
Stability of the continuous-time systems. Examples.
Discrete-time signals, sampling of the continuous-time signal. Examples.
Discete Fourier transform, the spectrum of the discrete-time signal. Examples.
Discrete-time system, difference equation, Z transform. Examples.
Transfer function, zeros and poles, frequency response, fequency characteristics. Examples.
Step response, impulse response, stability of the discrete-time systems. Examples.
Discretization of continuous-time systems. Examples.
Project
13 hod., optionally
Teacher / Lecturer
Syllabus
Solving examples of signals and systems.