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Terminated in academic year 2009/2010

Signals and Systems

Type of study Bachelor
Language of instruction Czech
Code 455-0533/03
Abbreviation SaS
Course title Signals and Systems
Credits 6
Coordinating department Department of Measurement and Control
Course coordinator prof. Ing. Pavel Nevřiva, DrSc.

Subject syllabus

Lectures:
Signal and system analysis using MATLAB.
The Signal. Continuous time Signal w(t). Basic Definitions. Time Averages. Orthogonal Functions. 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.
The System. Basic Definitions. Continuous LTIL System. Linear System. Linear Time Invariant system.
System Analysis in the Time Domain. Impulse Response.
Convolution. Description of the LTIL System by the Differential Equation. 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.
Application in communications. Amplitude modulation. Frequency modulation.
Laplace transform in signal and system analysis.
Discrete time Signal.Signal analysis in the time domain and in the frequency domain.
Discrete time Signal.Signal analysis in the time domain and in the frequency domain.


Computer labs:
Introduction in Laboratory Work.
Basic Characteristics of Signals.
Cross-correlation Function of Energy Signals.
Discrete Spectrum.
Spectrum (Spectral Density).
Assignment and preparation of the Lab. report No.1.
System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Assignment and preparation of the Lab. report No.2.
Amplitude modulation of the train of rect.impulses.

Laplace Transform of a LTIL System.
Analysis a Discrete Time Signals in MATLAB.
Final Test. Conclusion of the Course.

Literature

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

Kamen, E.W., Heck, B.S.: fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000.