Lecturer(s)
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Kubalčík Marek, doc. Ing. Ph.D.
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Navrátil Milan, Ing. Ph.D.
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Course content
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1. Signal concept, models of signals, basic classification of signals and signal models. 2. Transformation of independent variable, exponential and sinusoidal signals. 3. Signal models in time domain, convolution. 4. Description of continuous-time signals in frequency domain, Fourier transform. 5. Sampling of signals, sampling theorem, aliasing, signal reconstruction, quantization of signals . 6. Description of discrete signals in frequency domain, Discrete Fourier transform. 7. Weighting, algorithms of Fast Fourier transform. 8. Z-transform, shaping of signals 9. Digital FIR filters- mathematical description, basic structures. 10. Digital FIR filters- basic methods of design. 11. Digital IIR filters- mathematical description, basic structures. 12. Analogue filters. 13. Digital IIR filters- basic methods of design. 14. Stochastic processes and their characteristics.
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Learning activities and teaching methods
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Lecturing, Exercises on PC
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prerequisite |
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Knowledge |
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Knowledge of undergraduate mathematics and physics of technical faculties is supposed. |
Knowledge of undergraduate mathematics and physics of technical faculties is supposed. |
learning outcomes |
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classification of signal models |
classification of signal models |
differences between continuous and discrete sinusoidal signals |
differences between continuous and discrete sinusoidal signals |
basic principles of signal analysis both in time and frequency domains |
basic principles of signal analysis both in time and frequency domains |
basic classification of digital filters and principles of their design |
basic classification of digital filters and principles of their design |
basic structures suitable for implementation of digital filters |
basic structures suitable for implementation of digital filters |
Skills |
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computation of basic signal characteristics in time domain |
computation of basic signal characteristics in time domain |
computation of basic signal characteristics in frequency domain |
computation of basic signal characteristics in frequency domain |
basic signal operations and signal transformations |
basic signal operations and signal transformations |
design and implementation of filters with finite impulse response |
design and implementation of filters with finite impulse response |
design and implementation of filters with infinite impulse response |
design and implementation of filters with infinite impulse response |
teaching methods |
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Knowledge |
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Lecturing |
Lecturing |
Exercises on PC |
Exercises on PC |
assessment methods |
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Composite examination (Written part + oral part) |
Composite examination (Written part + oral part) |
Recommended literature
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Davídek, Vratislav. Analogové a číslicové filtry. Vyd. 2. Praha : Vydavatelství ČVUT, 2004. ISBN 80-01-03026-1.
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Hlaváč, V., Sedláček, M. Zpracování signálů a obrazů. Praha : ČVUT, 2000. ISBN 80-01-02114-9.
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Jan, J. Číslicová filtrace, analýza a restaurace signálů. Brno : VUTIUM, 2002. ISBN 80-214-1558-4.
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Oppenheim, Alan V. Signals & systems. 2nd ed. Upper Saddle River : Prentice Hall, 1997. ISBN 0-13-814757-4.
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ŠEBESTA, V. Systémy procesy signály I. Brno, 1995.
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Vích, Robert. Číslicové filtry. Vyd. 1. Praha : Academia, 2000. ISBN 80-200-0761-X.
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Zaplatílek, Karel. MATLAB : začínáme se signály. 1. vyd. Praha : BEN - technická literatura, 2006. ISBN 80-7300-200-0.
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