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Signals and Systems

Type of study Bachelor
Language of instruction Czech
Code 450-2009/05
Abbreviation SaS
Course title Signals and Systems
Credits 4
Coordinating department Department of Cybernetics and Biomedical Engineering
Course coordinator Ing. Blanka Filipová, Ph.D.

Subject syllabus

Content of lectures:
Signal and system analysis using MATLAB.
The Signal. Continuous time Signal w(t).
Basic Definitions. Time Averages. Sinusoidal Signal. Dirac's Impulse.
Signal Analysis in the Time Domain. Correlation Analysis of Continuous time Signal.
Signal Analysis in the Frequency Domain I.Fourier Series. Discrete Spectrum. Discrete Power Spectrum.
Signal Analysis in the Frequency Domain II.Fourier Transform. Spectrum. Energy Spectrum. Power Spectrum.
Random Signal.Correlation and Spectral Analysis of Random Signal. Random Process.
Modulations. Amplitude modulation. Frequency modulation.
The System. Basic Definitions. Continuous LTIL System.
System Analysis in the Time Domain. Impulse Response. Unit step response. Description of the LTIL System by the Differential Equation.
Convolution. Stability.
System Analysis in the Frequency Domain. Frequency Transfer Function of the System.
Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.


Computer Laboratory works:
Introduction in Laboratory Work. Introduction to the Matlab.
Classification and origin of the biological signals, frequency and amplitude scale of the biological signals.
Correlation Function.
Spectral analysis of selected biological signals
Time-frequency analysis of the biological signals
Segmentation and extraction of information from the biological signals.
Biological signals classification.
Filtration of the biological signals.
Test No.1
System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Analysis and modeling of selected bio cybernetic models.
Test No.2. Conclusion of the Course.

E-learning

Materials are available at https://lms.vsb.cz/?lang=en.

Literature

Kamen, E.W., Heck, B.S.: Fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000.
Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994.

Advised literature

Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989