Signals and Systems

Public info:http://www.fit.vutbr.cz/study/courses/ISS/public/
Completion:examination (written)
Type of
Hour/semLecturesSem. ExercisesLab. exercisesComp. exercisesOther
Guarantee:Černocký Jan, doc. Dr. Ing., DCGM
Lecturer:Černocký Jan, doc. Dr. Ing., DCGM
Instructor:Baskar Murali K., DCGM
Beneš Karel, Ing., DCGM
Egorova Ekaterina, Ing., DCGM
Grézl František, Ing., Ph.D., DCGM
Novotný Ondřej, Ing., DCGM
Ondel Lucas, Mgr., DCGM
Silnova Anna, DCGM
Skácel Miroslav, Ing., DCGM
Žmolíková Kateřina, Ing., DCGM
Faculty:Faculty of Information Technology BUT
Department:Department of Computer Graphics and Multimedia FIT BUT
Discrete Mathematics (IDA), DMAT
Mathematical Analysis (IMA), DMAT
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.
  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.
Knowledge and skills required for the course:
  basic maths and statistics
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.
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 of computer exercises:
  1. Introduction to MATLAB
  2. Projection onto basis, Fourier series
  3. Processing of sounds
  4. Image processing
  5. Random signals
  6. Sampling, quantization and aliasing
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
Fundamental literature:
  • Oppenheim A.V., Wilski A.S.: Signals and systems, Prentice Hall, 1997
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.
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.
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.