Popis předmětu - BE5B31TES
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Návod
Webová stránka:
https://moodle.fel.cvut.cz/courses/BE5B31TES
Anotace:
Course explains basic terms and methods for representation and analysis of continuous-time and discrete-time signals and systems. Representations of signals and systems in continuous and discrete-time is developed for time and frequency domains through the Fourier transform. Bode and Nyquist plots as well as the Laplace transform and the Z-transform are used for stability analysis of feedback systems. Linearization by small-signal analysis is introduced. Filtering and filter design, sampling and interpolation are discussed. Analog and pulse modulation fundamentals and their characteristics are introduced. Characteristics of band-pass signals are discussed, including Hilbert transform and complex envelope. Fundamentals of random signals and their parameters are reviewed.
Osnovy přednášek:
| 1. | | Introduction, classification of signals, basic continuous (CTD) and discrete time domain (DTD) signals, basic time domain characteristics, energy, power. Complex exponential. |
| 2. | | Correlation function, special CTD and DTD signals, Dirac delta, unit impulse, unit step, rectangular signal, sampling function. |
| 3. | | Systems, their classification and properties, CTD and DTD linear time-invariant systems (LTI), convolution integral and convolution sum. System interconnection and eigensignals of LTI systems. |
| 4. | | Frequency analysis of signals, Fourier series and Fourier transform. |
| 5. | | Discrete Fourier transform DFT and its properties. Frequency analysis of signals, relationships between transforms FT, FS, DtFT, DtFS and DFT. |
| 6. | | Systems described by differential and difference equations. State space representation. |
| 7. | | Properties of Laplace transform and Z-transform and their application, system function, BIBO and asymptotic stability. Examples for 1st and 2nd order systems. |
| 8. | | Frequency domain analysis of LTI systems, frequency response, Bode and Nyquist plots. |
| 9. | | Linearization of nonlinear system by small-signal analysis. |
| 10. | | Signal sampling and interpolation. CT system discretization. |
| 11. | | Ideal filters, introduction to CTD and DTD filter design. |
| 12. | | Band-pass signals, analytic signal, complex envelope, sampling of band-pass signals. |
| 13. | | Analog and pulse modulation fundamentals. |
| 14. | | Random variable, basic description, random process, ergodicity, white noise. |
Osnovy cvičení:
Literatura:
| 1. | | A. V. Oppenheim, A. S. Wilsky with S.H. Nawab: Signals and Systems, Prentice-Hall, Second Edition, 1997. |
| 2. | | Hwei P. Hsu: Signals and systems. Schaums outlines, 3rd edition, Mc Graw Hill, 2014 |
| 3. | | J. R. Buck, M. M. Daniel, A. C. Winter: Computer Explorations in Signals and Systems Using MATLAB, Prentice-Hall, 1997. |
Požadavky:
Předmět je zahrnut do těchto studijních plánů:
| Stránka vytvořena 3.12.2024 14:51:10, semestry: Z/2025-6, L/2023-4, Z,L/2024-5, připomínky k informační náplni zasílejte správci studijních plánů |
Návrh a realizace: I. Halaška (K336), J. Novák (K336) |