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Course: Theory of Signals and Information 1

Department/Abbreviation: KEF/TSI1E

Year: 2021

Guarantee: 'doc. RNDr. Libor Machala, Ph.D.'

Annotation: 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.

Course review:
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