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).

Rules for evaluation and completion of the course

Students can obtain maximally 30 points for their activities during semester and 70 points for the final exam. The honored activities are as follows: two tests oriented to calculations of signal problems (15 points) and in-class computer exercises (15 points). The written final exam is based on the theory of signals and systems as well as calculations (70 points).
All exercises are compulsory. Missed lessons can be made up usually by the end of 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.

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. Refreshment of the graphics in MATLAB, continuous periodic signals

2. Power of periodic signals, generation of rectangular signal

3. Rectangular periodic signal, spectrum calculation

4. Generation of aperiodic signals

5. Signal sampling

6. Individual compensation for missed hours