Course detail

Signals 1

FEKT-BPC-SI1Acad. year: 2025/2026

1. Introduction to the theory of signals and systems, basic signal operations, harmonic signal
2. Periodic signals, typical examples, rectangular pulses
3. Non-periodic and quasiperiodic signals, typical examples
4. Fourier transform, spectral function of selected signals
5. Correlation and convolution, properties, practical applications, relationship
6. Continuous-time systems, Laplace transform, transfer function
7. Continuous-time systems analysis, linear and non-linear systems
8. Conversions between analog and digital signals, sampling, quantization
9. Properties of digital signals, reconstruction of signal from samples
10. Discrete Fourier transform, use of DFT, principle of FFT calculation
11. Discrete-time systems, discrete-time systems, characteristics
12. Analysis of discrete-time systems, test signals
13. Practical examples on the use of signal analysis and systems

 

Language of instruction

Czech

Number of ECTS credits

7

Mode of study

Not applicable.

Guarantor

prof. Ing. Milan Sigmund, CSc.

Department

Department of Radio Electronics (UREL)

Entry knowledge

Basic knowledge of bachelor mathematics is requested (derivations, integrals, solution of equations, fundamentals of probability analysis, statistical distributions).

In the computer exercise, basic knowledge of working with MATLAB is required (operating the program, using subroutines, creating images and graphs). 

Rules for evaluation and completion of the course

Students can get a maximum of 20 points for their active work during the semester (two tests focused on calculating signal examples) and 80 points for the final exam. The final written exam is based on the theory of signals and systems and numerical examples.

All exercises are mandatory. Missed lessons can usually be made up at the end of the semester. 

Aims

The course is aimed to present common types of signals and their basic properties to students, and to explain analysis of systems as well as principles of interactions between signals and systems.
The graduate is able: (a) to measure and describe signals, (b) to define and generate required signal, (c) to estimate spectrum and properties of signals, (d) to convert analog signals and digital signals, (e) to analyze systems, (d) to discuss advantages and disadvantages of different signals and methods for signal processing.

Study aids

Study supports are recommended literature, scripts and slides from lectures. 

Prerequisites and corequisites

Not applicable.

Basic literature

GIANNAKOPOULOS, T., PIKRAKIS, A. Introduction to Audio Analysis: A MATLAB Approach. New York: Academic Press, 2014. (EN)
KAMEN, E. W., HECK, B. S. Fundamentals of Signals and Systems. Englewood Cliffs: Prentice Hall, 2016. (EN)
MITRA, S. K. Digital signal processing. A computer-based approach. New York: The McGraw-Hill Companies, 2015. (EN)

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BPC-ECT Bachelor's 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

1. Introduction to the theory of signals and systems, basic signal operations, harmonic signal
2. Periodic signals, typical examples, rectangular pulses
3. Non-periodic and quasiperiodic signals, typical examples
4. Fourier transform, spectral function of selected signals
5. Correlation and convolution, properties, practical applications, relationship
6. Continuous-time systems, Laplace transform, transfer function
7. Continuous-time systems analysis, linear and non-linear systems
8. Conversions between analog and digital signals, sampling, quantization
9. Properties of digital signals, reconstruction of signal from samples
10. Discrete Fourier transform, use of DFT, principle of FFT calculation
11. Discrete-time systems, discrete-time systems, characteristics
12. Analysis of discrete-time systems, test signals
13. Practical examples on the use of signal analysis and systems

Exercise in computer lab

39 hod., compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

1. General signal waveforms and their changes, refreshment of graphics in MATLAB

2. Harmonic signal and various ways of expressing it, complex components

3. Fourier series, meaning of individual series members

4. Rectangular periodic signal, creation of multi-level rectangular signals

5. Fourier transform, relation to Fourier series

6. Generation of aperiodic signals

7. Cross-correlation function, autocorrelation function

8. Convolution function, convolution theorem and spectral function

9. Effect of nonlinear system on signals in the time domain

10. Effect of nonlinear system on signals in the frequency domain

11. Sampling and quantization of signals

12. Reconstruction of continuous signals from discrete samples

13. Individual compensation for missed exercises

 

Elearning

eLearning: currently opened course