| Course Unit Code | 450-2009/05 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| DEM75 | Ing. Blanka Filipová, Ph.D. |
| Summary |
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| 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 |
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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.
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| Course Contents |
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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.
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| Recommended or Required Reading |
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| Required Reading: |
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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.
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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
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| Recommended Reading: |
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Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989
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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
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| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Experimental work in labs |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 40 | 15 |
| Examination | Examination | 60 | 25 |