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Signals and Systems

Type of study Bachelor
Language of instruction English
Code 450-2009/03
Abbreviation SaS
Course title Signals and Systems
Credits 6
Coordinating department Department of Cybernetics and Biomedical Engineering
Course coordinator Ing. Blanka Filipová, Ph.D.

Subject syllabus

Lectures:
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.
Amplitude modulation. Angle modulation.
The System. Basic Definitions. Continuous LTIL System.
System Analysis in the Time Domain. Impulse Response.Description of the LTIL System by the Differential Equation.
Convolution. Stability.
System Analysis in the Frequency Domain. Frequency Transfer Function of the System.
Laplace transform in signal and system analysis.
Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.

Computer Labs:
Introduction in Laboratory Work. Introduction to the Matlab.
Basic Characteristics of Signals.
Correlation Function.
Discrete Spectrum.
Spectrum.
Project No.1
Test No.1
System Analysis in the Time Domain -Simulink. Step response, Impulse response.
Stability of the System.
Frequency Transfer Function of the System.
Project No. 2
Amplitude modulation of the train of rect.impulses.
System analysis by Laplace Transform.
Distortion of the Sinusoidal Signal by the LTIL System. Filtration of the signals. Using of Signal Processing Toolbox.
Test No.2. Conclusion of the Course.


Projects:
1. The Correlation and Spectral Analysis of Continuous-Time Signal.
2. The LTIL system analysis.
Time demands of each project is 5 hours.

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