| Course Unit Code | Course Unit Title | Number of ECTS Credits Allocated |
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| 450-2009/01 | Signals and Systems | 6 ECTS credits |
| 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 | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech, English |
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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. |
| 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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| Recommended Optional Programme Components |
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| Common optional components are not offered, students of special interest can participate in departmental activities or can arrange consulting hours with lecturer. |
| Course Contents |
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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.
Fundamental description of Fourier Analysis.
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.
Laboratory work:
Introduction in Laboratory Work.
Basic Characteristics of Signals.
Correlation Function of Continuos Signals.
Discrete Spectrum.
Spectrum (Spectral Density).
Preparation and presentation of the Lab. report No.1.
System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Preparation and presentation 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.
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| Recommended or Required Reading |
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| Required Reading: |
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Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994.
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Horák B., Nevřiva P.: Signály a soustavy III. VŠB Ostrava, Ostrava 1998.
Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994.
Nevřiva P.: Signály a soustavy I a II VŠB Ostrava, Ostrava 1998.
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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
Kamen, E.W., Heck, B.S.: fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000.
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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.
Nevřiva P.: Analýza signálů a soustav. BEN Praha, Praha 2000.
Vejražka F.: Signály a soustavy. ČVUT Praha, Praha 1996.
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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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| Tasks are not Defined |
| Work placement(s) |
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| Course does not contain work placement. |