Signals and Systems

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Radioelectronics

Synopsis:

Continuous and discrete time signal representation in time and frequency domain. Stochastic signals and their parameters. Elementary principles of analog modulations with their noise conditions. Fundamental course for further study focusing on communication, measurement and signal processing.

Requirements:

None

Syllabus of lectures:

1. Signal in continuous time and discrete time

2. Energy, power, correlation, Hilbert space

3. Orthogonal systems

4. Signal description in frequency domain (FT and FS) for signals in continuous and discrete time

5. Properties and mutual relations of FT, FS, DtFT, DtFS, and DFT

6. Second-order signal properties in time and frequency domain, Parseval's theorem

7. Linear time-invariant systems in time domain

8. Linear time-invariant systems in time domain

9. Stochastic signals, stationarity and ergodicity

10. Second-order characteristics of stochastic signals in time domain

11. Stochastic signals in frequency domain, power and energetic spectral density (empirical, probabilistic, and doubly-averaged signal characteristics)

12. Signal sampling and reconstruction for deterministic and stochastic signals

13. Stochastic band-pass signals, complex envelope, second-order signal characteristics of complex envelope

14. Analog modulation

Syllabus of tutorials:

Study Objective:

Study materials:

[1] Hrdina, Z. - Vejražka, F.: Signály a soustavy. [in Czech]. Publishing house of CTU, Prague. 1. ed. 1998.

[2] V. Oppenheim, A. S. Willsky with S.H. Nawab: Signals and Systems. Prentice-Hall, Second Edition, 1997.

[3] Taylor, F.J.: Principles of signals and systems. McGraw-Hill, 1994.

[4] Proakis, J.G.: Digital Communications. McGraw-Hill, 2001.

[5] Girod, B., Rabenstein, R., Stenger, A.: Signals and System. John Wiley & Sons. 2001

[6] Yarlagadda, R.K. Rao: Analog and Digital Signals and Systems. Springer 2010.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Open Electronic Systems (compulsory course of the specialization)