CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2021/2022

# Signals and systems

Code Completion Credits Range Language
B3B31SAS Z,ZK 5 2P+2C Czech
Corequisite:
Lecturer:
Pavel Sovka (guarantor), Radoslav Bortel
Tutor:
Radoslav Bortel, Tomáš Bořil, 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
Time-table for winter semester 2021/2022:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomT2:D3-209Bortel R.12:45–14:15(lecture parallel1)DejviceT2:D3-209 roomT2:D3-209Bortel R.12:45–14:15(lecture parallel1)DejviceT2:D3-209 roomT2:C4-362Bořil T.12:45–14:15(lecture parallel1parallel nr.101)DejviceLaborator K362roomT2:C4-362Bořil T.14:30–16:00(lecture parallel1parallel nr.102)DejviceLaborator K362roomT2:C4-362Bořil T.16:15–17:45(lecture parallel1parallel nr.103)DejviceLaborator K362 roomT2:C4-362Bortel R.11:00–12:30(lecture parallel1parallel nr.104)DejviceLaborator K362roomT2:C4-362Šimek M.14:30–16:00(lecture parallel1parallel nr.105)DejviceLaborator K362roomT2:C4-362Šimek M.16:15–17:45(lecture parallel1parallel nr.106)DejviceLaborator K362
Time-table for summer semester 2021/2022:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2022-08-12
For updated information see http://bilakniha.cvut.cz/en/predmet4710806.html