Signals and systems

Vztahy:

In order to register for the course B3B31SAS, the student must have registered for the required number of courses in the group BEZBM no later than in the same semester.

Garant předmětu:

Pavel Sovka

Lecturer:

Radoslav Bortel, Pavel Sovka

Tutor:

Radoslav Bortel, Tomáš Bořil, Ondřej Brunner, Michal Šimek

Supervisor:

Department of Circuit Theory

Synopsis:

The course focuses on explaining basic terms used for the description and analysis of determined signals and systems (including filters) in continuous- and discrete-time. The graduate will acquire a basic overview of the issues and learn how to work with concepts, perform simple analysis of systems and signals, and interpret and discuss the results.

Requirements:

Knowledge of the concepts and methods of mathematical analysis, Fourier and Laplace transforms and z-transform, solution of linear differential equations with constant coefficients, basic knowledge of physics

Syllabus of lectures:

1. Continuous- and discrete-time signals and systems. Cross-energy and correlation

2. LTI system representation in the time domain, convolution

3. Representation of LTI systems in the frequency domain, frequency response

4. Transfer function of continuous-time systems, poles and zeros, the relationship between time and frequency domain, ideal integrator and differentiator

5. Bode and Nyquist frequency plot, asymptotic Bode plot

6. Stability, feedback, gain and phase margins

7. Relationship between transfer function and state-space representation of LTI continuous-time systems, asymptotic and BIBO stability

8. Nonlinear systems and their linearization for small signals

9. Sampling and reconstruction of signals, representation in time and frequency domain

10. Methods for discretization of continuous-time systems

11. Introduction to analog filters, types and properties of approximations

12. Digital filters: types, characteristics, design, examples of 1-D and 2-D, filter simulation, quantization and its consequences

13. Application of digital filtering for noise reduction and signal restoration of signals, modulations

14. Reserve

Syllabus of tutorials:

1. Continuous- and discrete-time signals and their generation in MATLAB

2. System simulation in Simulink

3. The use of Fourier transform and the Fourier series, frequency respons

4. Transfer function, stability, types of system interconnections

5. Bode and Nyquist frequency plot, laboratory measurement

6. Measurement of frequency response, gain and phase margins

7. Relationship between transfer function and state-space representation

8. Examples of system linearization for small signal

9. Signal sampling and reconstruction

10. Methods of system discretization

11. The tools for the design of analog filters, laboratory measurement on SC filters

12. Design and simulation of digital filters IIR and FIR filters

13. Examples of simple methods for noise reduction, examples of modulations

14. Reserve

Study Objective:

Become familiar with the basic concepts and learn how to use MATLAB for analysis and design of systems and for signal processing.

Study materials:

1. V. Oppenheim, G. C. Verghese: Signals, Systems and Inference. Prentice Hall 2015, ISBN-13: 978-0133943283

2. Hwei P. Hsu: Signals and systems. McGraw-Hill, 2013, ISBN: 978-0071829465

Note:

Further information:

https://moodle.fel.cvut.cz/courses/B3B31SAS

No time-table has been prepared for this course

The course is a part of the following study plans:

• Cybernetics and Robotics 2016 (compulsory course in the program)