Faculty of Information Technology, BUT

Course details

Signals and Systems

ISS Acad. year 2017/2018 Winter semester 6 credits

Continuous and discrete time signals and systems. Spectral analysis in continuous time - Fourier series and Fourier transform. Systems with continuous time. Sampling and reconstruction. Discrete-time signals and their frequency analysis: Discrete Fourier series and Discrete-time Fourier transform. Discrete systems. Two-dimensional signals and systems. Random signals.


Language of instruction



Examination (written)

Time span

39 hrs lectures, 12 hrs exercises, 14 hrs projects

Assessment points

51 exam, 25 half-term test, 12 labs, 12 projects




Baskar Murali K. (DCGM FIT BUT)
Beneš Karel, Ing. (DCGM FIT BUT)
Grézl František, Ing., Ph.D. (DCGM FIT BUT)
Kodym Oldřich, Ing. (DCGM FIT BUT)
Mošner Ladislav, Ing. (DCGM FIT BUT)
Ondel Lucas, Mgr. (DCGM FIT BUT)
Silnova Anna, MSc. (DCGM FIT BUT)
Skácel Miroslav, Ing. (DCGM FIT BUT)
Žmolíková Kateřina, Ing. (DCGM FIT BUT)

Subject specific learning outcomes and competences

Students will learn and understand basis of  description and analysis of discrete and continuous-time signals and systems. They will also obtain practical skills in analysis and filtering in MATLAB.

Generic learning outcomes and competences

Students will deepen their knowledge in mathematics and statistics and apply it on real problems of signal processing. During the course, they will get acquainted with math- and visualization-SW Matlab.

Learning objectives

To learn and understand basic theory of signals and linear systems with continuous and discrete time. To introduce  to random signals. The emphasis of the course is on spectral analysis and linear filtering - 2 basic building blocks of modern communication systems.


Prerequisite kwnowledge and skills

basic maths and statistics

Study literature

  • http://www.fit.vutbr.cz/study/courses/ISS/public/
  • Jan, J., Kozumplík, J.: Systémy, procesy a signály. Skriptum VUT v Brně, VUTIUM, 2000.
  • Šebesta V.: Systémy, procesy a signály I., Skriptum VUT v Brně, VUTIUM, 1997.
  • Jan J., Číslicová filtrace, analýza a restaurace signálů, VUT v Brně, VUTIUM, 2002, ISBN 80-214-1558-4.

Fundamental literature

  • Oppenheim A.V., Wilski A.S.: Signals and systems, Prentice Hall, 1997

Syllabus of lectures

  1. Digital filters - fundamentals and practical usage
  2. Frequency analysis using DFT - fundamentals and practical usage
  3. Image processing (2D signals) - fundamentals and practical usage
  4. Random signals - fundamentals and practical usage
  5. Applications of signal processing and introduction to theory
  6. Frequency analysis of continuous time signals
  7. Continuous time systems
  8. From continuous to discrete - sampling, quantization
  9. Discrete signal sin more detail
  10. Digital filtering in more detail
  11. Random signals in more detail
  12. Applications and advanced topics of signal processing

Syllabus - others, projects and individual work of students

The individual project aims at image processing, see  http://www.fit.vutbr.cz/study/courses/ISS/public/#proj

Progress assessment

  • active participation in computer labs, presentation of results to the tutor - 2 pts. each, total 12 pts.
  • half-semester exam, written materials, computers and calculators prohibited, 25 pts.
  • submission of project report - 12b.
  • final exam - 51 pts., written materials, computers and calculators prohibited, list of basic equations will be at your disposal. The minimal number of points which can be obtained from the final exam is 17. Otherwise, no points will be assigned to the student.

Controlled instruction

  • participation in computer labs is not checked but active participation and presentation of results to the tutor is evaluated by 2 pts.
  • Groups in computer labs are organized according to inscription into schedule frames.

Course inclusion in study plans

  • Programme IT-BC-3, field BIT, 2nd year of study, Compulsory
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