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Lecturer(s)
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Broulím Pavel, Ing. Ph.D.
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Pavlíček Vladimír, Ing. Ph.D.
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Štork Milan, Prof. Ing. CSc.
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Course content
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1. Basic characteristics of signals. Energy, power, mean, RMS, correlation, autocorrelation (continuous and discrete signals) 2. Types of sampling, continuous spectrum and discrete signal restoration of continuous signal from samples. Quantization, coding, oversampling effect. 3. D/A converters, A/D converters. 4. Fourier series, Parseval theorem, Fourier transformation, spectral energy density. Discrete Fourier transform, fast Fourier transform, properties, use 5. Analog filters, filter types, characteristics, frequency and phase characteristics. Derivation of the transmission analog filter and calculating the frequency and phase characteristics. 6. Digital filters with the final impulse response. Digital filters with infinite impulse response. 7. Systems are changing the sampling frequency, decimation, interpolation. 8. Modulation demodulation. 9. Mathematically oriented representation systems in continuous time, state representation in differential form, causality and strict causality. 10. State representation of discrete time. Discretization, representations of causal systems 11. Transfer function, the relationship of transfer functions and state representation 12. Algebra structural diagrams - basic operations and their derivation. Controllability state representation. Observability of state representation. 13. Stability, external and internal stability, necessary and sufficient conditions of asymptotic stability. 14. Kalman canonical decomposition of a superficial representation of causal systems 15. Incremental representation of causal processes and their link with continuous and discrete systems
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Learning activities and teaching methods
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- Preparation for laboratory testing; outcome analysis (1-8)
- 8 hours per semester
- Contact hours
- 65 hours per semester
- Presentation preparation (report) (1-10)
- 10 hours per semester
- Preparation for an examination (30-60)
- 45 hours per semester
- unspecified
- 45 hours per semester
- Contact hours
- 20 hours per semester
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| prerequisite |
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| Knowledge |
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| explain basic mathematical methods and electronic analog and digital circuits |
| Skills |
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| solve basic mathematical problems and electronic analog and digital circuits |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| distinguishes different types of systems |
| Skills |
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| distinguishes different types of systems |
| grounding applications and system properties |
| evaluate and describe the appropriate way to use signal analysis |
| use signal theory to justify function and system evaluation |
| analyze and synthesize systems |
| Competences |
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| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Laboratory work |
| Skills |
|---|
| Lecture |
| Laboratory work |
| Competences |
|---|
| Lecture |
| Laboratory work |
| assessment methods |
|---|
| Knowledge |
|---|
| Oral exam |
| Practical exam |
| Individual presentation at a seminar |
| Skills |
|---|
| Oral exam |
| Written exam |
| Individual presentation at a seminar |
| Competences |
|---|
| Oral exam |
| Written exam |
| Individual presentation at a seminar |
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Recommended literature
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Hwei P. Hsu. Signals and systems. McGraw-Hill, 2013. ISBN 978-0071829465.
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V. Oppenheim, G. C. Verghese. Signals, Systems and Inference. Prentice Hall, 2015. ISBN 13- 978-013394328.
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Vejražka, František. Vejražka, František Signály a soustavy : Určeno pro stud. fak. elektrotechn..
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