450-2009/05 – Signals and Systems (SaS)
| Gurantor department | Department of Cybernetics and Biomedical Engineering | Credits | 4 |
| Subject guarantor | Ing. Blanka Filipová, Ph.D. | Subject version guarantor | Ing. Blanka Filipová, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The purpose of the course is to provide a common background for B.SC courses in control, communication, electronic circuits, filter design, digital signal processing.
Student will be able to set out the basic correlation and spectral characteristics of different signals.
The student will be able to perform the analysis of LTIL system and to use MATLAB/Simulink for signal and system analysis.
Teaching methods
Lectures
Individual consultations
Tutorials
Experimental work in labs
Summary
The subject deals with basic mathematical methods which are applied for analysis and processing of the signals with target of the important information extraction. In a context of the subject, the algorithm procedures for the signals processing in the time, frequency, and time-frequency domain are discussed. The second part of the subject deals with the mathematical methods for analysis and modeling of the systems with the continuous time.
Compulsory literature:
Kamen, E.W., Heck, B.S.: Fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000.
Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994.
Recommended literature:
Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989
Way of continuous check of knowledge in the course of semester
Verification of study:
2 projects of 10 points, 2 test of 10 points.
Conditions for credit:
Minimum is 15 points.
The final exam consists of writing part 0 - 30 points and oral part 0 - 30 points. Student have to succeed in all parts of examination. The minimum is 15 points in writing part, in oral part the minimum is 10 points.
E-learning
Other requirements
Another demands for student are not.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
Signal and system analysis using MATLAB.
The Signal. Continuous time Signal w(t).
Basic Definitions. Time Averages. Sinusoidal Signal. Dirac's Impulse.
Signal Analysis in the Time Domain. Correlation Analysis of Continuous time Signal.
Signal Analysis in the Frequency Domain I.Fourier Series. Discrete Spectrum. Discrete Power Spectrum.
Signal Analysis in the Frequency Domain II.Fourier Transform. Spectrum. Energy Spectrum. Power Spectrum.
Random Signal.Correlation and Spectral Analysis of Random Signal. Random Process.
Modulations. Amplitude modulation. Frequency modulation.
The System. Basic Definitions. Continuous LTIL System.
System Analysis in the Time Domain. Impulse Response. Unit step response. Description of the LTIL System by the Differential Equation.
Convolution. Stability.
System Analysis in the Frequency Domain. Frequency Transfer Function of the System.
Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.
Computer Laboratory works:
Introduction in Laboratory Work. Introduction to the Matlab.
Classification and origin of the biological signals, frequency and amplitude scale of the biological signals.
Correlation Function.
Spectral analysis of selected biological signals
Time-frequency analysis of the biological signals
Segmentation and extraction of information from the biological signals.
Biological signals classification.
Filtration of the biological signals.
Test No.1
System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Analysis and modeling of selected bio cybernetic models.
Test No.2. Conclusion of the Course.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction