Common Theory of Signals and Systems

Type of study	Doctoral
Language of instruction	English
Code	450-6001/02
Abbreviation	OTS
Course title	Common Theory of Signals and Systems
Credits	10
Coordinating department	Department of Cybernetics and Biomedical Engineering
Course coordinator	prof. Ing. Pavel Nevřiva, DrSc.

Subject syllabus

Lectures:
Functions of complex variable. Integration in complex plane. Nyquist test. The Fourier series, the Fourier transform.
Calculus of probability. computional statistics. Correlation functions, power spektrum, Wiener Chinčin theorem.
Orthogonal functions and series. Signals and noise. Digital signal. z-transform and diferential equations.
Linear systems. LTIL systems. Signal and LTIL system. System response. Bandwidth.

PAM modulation. Sampling of signal. Optimal sampling.
Shannon - Kotelnik theorem.
Impulse code modulation. Quantization and coding of signal. Bandwidth PCM. Modulation error. Sampling of signal and noise.
Other modulations.

Literature

Couch II, L..W.: Digital and analog communication systems. Pearson, ©2013. .
Kovačevič. Branko a Željko Durovič. Fundamentals os Stochastic Signal, Systems andEstimation Theory. Springer, 2008. ISBN 978-86-7466-323-3.

Advised literature

Couch II, L..W.: Digital and analog communication systems. Pearson, ©2013. .
Etten, Wim C. van. Introduction to Random Signals and Noise. John Wiley, 2006. ISBN 978-0-470-02411-9.

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