Signals and Systems

The course is a substitute for:

Signals and Systems (XE37SAS)

Lecturer:

Tutor:

Supervisor:

Department of Radioelectronics

Synopsis:

Description of continuous and discrete signals in time and frequency domain. Basic of analogue and digital modulations and their noise immunity. It presents an introductory treatment of communication theory useful for next study of communication, measurement and signal processing. Good skills of integral and differential calculus and electronic networks are needed.

Requirements:

Syllabus of lectures:

1. Signal description in time and freq. domain; general. Fourier transf., Dirac imp.

2. System classification, description in time domain

3. Linear stationary system description, impulse response, output signal response

4. Fourier series for contin. and discrete periodic signal, spectrum power density

5. Fourier transf. of contin. and discr. signal and its properties;signal reconstruction

6. Relat. between Fourier series and transf.; signal reconstr. from spectr. samples

7. Discrete Fourier transform, FFT

8. Spectral representation of systems, ideal filters, output signal char., DFT appl.

9. Band signals, complex envelope and orthogonal representations

10. Band signals processing, sampling

11. Random signals and their description, system influence on their characteristics

12. Analogue modulations, ampl. and angle modulations, time and spectral descr.

13. Analogue impulse modulations and digital modulations

14. Main digital modulations

Syllabus of tutorials:

1. Introduction. Energy and power of signals

2. Correlation function, approximation by Fourier series

3. Ex. of system classific., determination of system imp. response and output signal

4. State description of linear stationary system

5. Fourier series comput. for per. signals, per. signals restoration from its samples

6. Fourier transform computation for continuous and discrete signal

7. Finite signal determination from spectra samples

8. DFT application

9. System gain

10. Complex envelope and its determination

11. Equivalent low frequency system, band signal sampling

12. Determination of characteristics of random signals

13. Stationary and ergodic properties proof

14. Probabilistic description of signals on system output

Study Objective:

Study materials:

[1] Peebles, P.Z.: Communication System Principles. Adison-Wesley Publishing Company, 1976

[2] Proakis, J.G., Manolakis, D.G.: Introduction to Digital Signal Processing. Macmillan Publishing Company, 1989

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: