Course: Theory of Signals and Information 1

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Course title Theory of Signals and Information 1
Course code KEF/TSI1
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Machala Libor, doc. RNDr. Ph.D.
  • Machala Martin, Bc. DiS.
Course content
1. Definition of signals, theory of signals and transmission systems 2. Fourier analysis of deterministic signals and impulses and their practical executions 3. Fourier analysis in a domain with continuous time and in discrete systems, algorithm of fast Fourier transform; application of computer (software Matlab) for Fourier analysis 4. Properties of Fourier transform, convolution and Fourier spectrum 5. Laplace and Hilbert transform 6. Correlation of deterministic signals 7. Properties of linear and nonlinear transmission systems 8. Characteristic functions and quantities of stochastic processes and of their realizations, errors in their estimations 9. Power spectra of stochastic processes and of their realizations 10. Transmission of stochastic signal via linear systems 11. Influence of noise on signals 12. Digital signals and their transmission 13. Digital transmission systems, their error rate and modeling

Learning activities and teaching methods
  • Homework for Teaching - 20 hours per semester
  • Preparation for the Exam - 30 hours per semester
  • Attendace - 30 hours per semester
Learning outcomes
The main aim is to learn theoretical aspects of signal transfer and processing. Attention is paid to understanding of Fourier transform as a tool for description of signals in spectral domain.
Knowledge To define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems in the field of theory and processing of signals.
Basic knowledge of mathematical analysis (derivations, integrations, functions of complex variable)

Assessment methods and criteria
Mark, Oral exam

Knowledge in the range of lecture content. The important term is Fourier transform. Regular coming to the lectures is strongly recommended.
Recommended literature
  • Bajcsy, J.; Vítovec, J. (1988). Telemetria a prenos údajov. Alfa Bratislava a SNTL Praha.
  • Bogr, J.; Čajka, J.; Šebesta, V. (1975). Teorie přenosu zpráv. SNTL Praha.
  • Ertinger, Z.; Sklenář, J. (1980). Signály a soustavy. VUT Brno.
  • Hoffner, V. (1987). Úvod do teorie signálů. SNTL Praha.
  • Levin, B.R. (1965). Teorie náhodných procesů a její aplikace v radiotechnice. SNTL Praha.
  • Pospíšil, J. (1994). Analýzy a přenosové aspekty signálů. UP Olomouc.
  • Uhlíř, J., Sovka, P. (2002). Číslicové zpracování signálů. ČVUT Praha.
  • Yeung, R.W. (2002). A First Course in Information Theory. Springer. New York, USA.
  • Young, P.H. (1985). Electronic communication techniques. Ch.E.Merrill Publ. Comp. and Bell - Howel Comp. Columbus.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Applied Physics (2015) Physics courses 1 Winter