450-2009/04 – 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 | winter |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | 2020/2021 |
| 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
Additional study materials
Way of continuous check of knowledge in the course of semester
Verification of study:
2 projects of 10 points, 2 tests 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:
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.
Amplitude modulation. Angle modulation.
The System. Basic Definitions. Continuous LTIL System.
Step Response and Impulse 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 Labs:
Introduction in Laboratory Work. Introduction to the Matlab.
Basic Characteristics of Signals.
Correlation Function.
Discrete Spectrum.
Spectrum.
Project No.1
Test No.1
Filtration of the Signal. Using Signal Processing Toolbox.
System Analysis in the Time Domain - Simulink. Step response, Impulse response.
Stability of the System.
Frequency Transfer Function of the System.
Project No. 2
Distortion of the Sinusoidal Signal by the LTIL System.
Test No.2. Conclusion of the Course.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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