Course detail

Signals and Systems

FEKT-BPC-SASAcad. year: 2026/2027

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

8

Mode of study

Not applicable.

Guarantor

doc. Ing. Miroslav Jirgl, Ph.D.

Department

Department of Control and Instrumentation (UAMT)

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
15 points for individual project
65 points for semestr 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

Study aids

The course is available in e-learning, where you can find current information and materials. 

Prerequisites and corequisites

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)

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BPC-AMT Bachelor's 2 year of study, winter semester, compulsory, fundamental theoretical courses of the profile core

Type of course unit

 

Lecture

52 hours, optionally

Teacher / Lecturer

doc. Ing. Miroslav Jirgl, Ph.D.

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.

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer

Ing. Jakub Čelko
doc. Ing. Miroslav Jirgl, Ph.D.
prof. RNDr. Jitka Dluhá, Ph.D.

Syllabus

1. Introduction to the MATLAB environment, basic functions and data types, operations with vectors and matrices, 2D plots.
2. Continuous-time signals—signal operations and manipulation. Functions, strings, working with .mat files.
3. Continuous-time signals and their analysis—implementation of FS using a for loop.
4. Continuous-time signals and their analysis—other forms of FS, use of vector and matrix operations.
5. Continuous-time LTI systems—definition, description (characteristics), and properties. Basic commands for working with LTI systems.
6. Continuous-time LTI systems—description and analysis of systems using frequency characteristics. Basic commands for working with LTI systems.
7. Discrete-time signals—DFT (FFT). Loops, program branching (conditions), and timing.
8. Discrete-time LTI systems—definition, description (characteristics), and properties. Difference equations as an algorithm. Basic commands for working with LTI systems.
9. Discretization of continuous-time systems; the effect of the sampling period on the dynamic properties of the system.

Elearning

eLearning: currently opened course