Course: Signal and Information Theory I

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Course title Signal and Information Theory I
Course code KEF/PGST1
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 20
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Machala Libor, doc. RNDr. Ph.D.
Course content
Definition of signals, theory of signals and transfer systems Fourier analysis of deterministic signals and impulses and their practical executions Fourier analysis in a domain with continuous time and in discrete systems, algorithm of fast Fourier transform Properties of Fourier transform, convolution and Fourier spectrum Laplace and Hilbert transform Correlation of deterministic signals Properties of linear and nonlinear transfer systems Characteristic functions and quantities of stochastic processes and their realizations, errors in their estimations Power spectra of stochastic processes and their realizations Transmission of stochastic signal via linear systems Effect of noise on signals Digital signals and their transmission Digital transfer systems, their error rate and modeling

Learning activities and teaching methods
Learning outcomes
The aim is to inform students with the main theoretical aspects of transfer and processing of signals. Attention is paid to understanding of Fourier transform as a tool for description of signals in frequency domain.
Students will have overview about transfer aspects of signals and ways of their proccessing. Students will be familiarized with Fourier transform, properties of linear transfer systems, noises, and digital signals.

Assessment methods and criteria

Requirements in the range of sylabus of the lecture. Emphasis is placed to understanding of the term Fourier Transform.
Recommended literature
  • Angot, A. (1972). Užitá matematika pro elektrotechnické inženýry. SNTL Praha.
  • Bogr, J., Čajka, J., Šebesta, V. (1975). Teorie přenosu zpráv. SNTL Praha.
  • Ertinger, Z., Sklenář, J. (1980). Signály a soustavy. VUT Brno (skriptum).
  • 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 (skriptum).
  • Yeung, R. W. (2002). A First Course in Information Theory. Springer, New York, USA.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester