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ECTS Course Overview



Signals and Systems

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code450-2009/03
Number of ECTS Credits Allocated6 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
DEM75Ing. Blanka Filipová, Ph.D.
Summary
The subject deals with basic mathematical methods which are applied for analysis and processing of the signals with target of the important information extraction. In a context of the subject, the algorithm procedures for the signals processing in the time, frequency, and time-frequency domain are discussed. The second part of the subject deals with the mathematical methods for analysis and modeling of the systems with the continuous time.
Learning Outcomes of the Course Unit
The purpose of the course is to provide a common background for B.SC courses in control, communication, electronic circuits, filter design, digital signal processing.
Student will be able to set out the basic correlation and spectral characteristics of different signals.
The student will be able to perform the analysis of LTIL system and to use MATLAB/Simulink for signal and system analysis.
Course Contents
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.
Recommended or Required Reading
Required Reading:
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.
Nevřiva P.: Analýza signálů a soustav. BEN Praha, Praha 2000.
Vejražka F.: Signály a soustavy. ČVUT Praha, Praha 1996.
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.
Výukové materiály na http://lms.vsb.cz
Recommended Reading:
Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989
Nevřiva P.: Signály a soustavy I a II VŠB Ostrava, Ostrava 1998.
Horák B., Nevřiva P.: Signály a soustavy III. VŠB Ostrava, Ostrava 1998.
Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials, Experimental work in labs
Assesment methods and criteria
Tasks are not Defined