Signals and Systems

The course is a substitute for:

Signals and Systems (E37SAS)
Signals and Systems (X37SAS)

Lecturer:

Tutor:

Supervisor:

Department of Radioelectronics

Synopsis:

Representation of signals in time and frequency domain. Transformations of signal by systems. Characteristics of systems. Signal sampling. Description of band signals by complex envelope. Basis of random signals. Preparatory subject for study of communications, measurement, acoustics, TV and image processing and signal processing. Good skills of differential and integral calculus are needed.

Requirements:

Satisfactory processing of semester project, fulfilling of requirements of tests, active participation in seminars

Syllabus of lectures:

1. Signal classification, continuous and discrete signals, signal characteristics in time domain

2. Mutual energy and power orthogonal signals, correlation. Special (irregular) signals

3. Signal representation by orthogonal system. Fourier series for continuous and discrete periodical signals

4. Spectrum of no periodical signals, spectral density and autocorrelation function

5. Relation between spectra of continuous and discrete signals. Spectra and Fourier series

6. Discrete Fourier transform, fast algorithms

7. System classification in continuous and discrete time domain, linear time invariant systems, system function

8. Spectral representation of linear time invariant system, transfer function

9. Sampling, continuous signal reconstruction, relationship between continuous and discrete time systems

10. Random events, random values. Distribution function, mean value, variance and covariance

11. Random signals and their description, stationarity and ergodicity. White noise

12. Band signals and their description, complex envelope, orthogonal representation, envelope, phase

13. Basic principles of analogue modulations - amplitude and angle modulations

14. Basic principles of digital modulation methods, examples of modulations

Syllabus of tutorials:

1. Signal characteristics in time domain, continuous and discrete signals. Mutual energy and power, correlation

2. Fourier series for continuous and discrete signals, relationship to autocorrelation. Semester project assignment

3. Spectrum of no periodical signals, spectrum density. Credit test No. 1

4. Discrete Fourier transform, fast algorithm, signal analysis in MATLAB

5. System representation in time and frequency domain, signal transfer by system. Simulations in MATLAB

6. Signal sampling, relationship between continuous and discrete time systems. Credit test No. 2

7. Band signals, complex envelope, envelope and phase. Semester works evaluation. Credit

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:

• Electronics and Communication Technology - structured studies (compulsory course)