455-0533/02 – Signals and Systems (SaS)
| Gurantor department | Department of Measurement and Control | Credits | 8 |
| Subject guarantor | prof. Ing. Pavel Nevřiva, DrSc. | Subject version guarantor | prof. Ing. Pavel Nevřiva, DrSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2004/2005 | Year of cancellation | 2010/2011 |
| 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
Project work
Summary
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.
This course is intended primarily for B.SC degree students of branch electronics and communications in faculty of electrical engineering and computer science in VSB TU Ostrava. The course Signals and Systems deals with continous and discrete time signals and systems analysis.
Compulsory literature:
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
Kamen, E.W., Heck, B.S.: fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000.
Additional study materials
Way of continuous check of knowledge in the course of semester
Verification of study:
Student must work out two laboratory works. The first one is related to the analysis of the continuous-time signal, the second one is related to the analysis of the continuous-time system. Student can receive up to 15 points for each of works. Maximum number of points student can gain through tests is 2 * 15 = 30 points.
Student has to elaborate the final test. Student can acquire up to 15 points for the test.
Student can gain up is 30 + 15 = 45 points from the laboratory excercices.
To pass the course student has to pass both the laboratory part of the course and the final exam. The final exam consists of writing part 0 - 35 points and oral part 0 - 20 points. Student have to succeed in all parts of examination.
Conditions for credit:
Student must work out two laboratory works and final test. To pass the laboratory part of the course student has to gain at least 10 points from the laboratory excercices.
E-learning
Other requirements
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. Orthogonal Functions. 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.
The System. Basic Definitions. Continuous LTIL System. Linear System. Linear Time Invariant system.
System Analysis in the Time Domain. Impulse Response.
Convolution. Description of the LTIL System by the Differential Equation. 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.
Sampling. Ideal Sampling. Instantaneous Sampling. Discrete time Signal w[n]. DTFT, DFT, FFT.
Discrete time System Analysis in the Time Domain. Kronecker delta Sequence. Convolution. Difference equation. Solution of Difference Equation. Stability.
Discrete time System Analysis in the Frequency Domain Using DTFT. Frequency Transfer Function of the System. Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.
Computer labs:
Introduction.
Basic Characteristics of Signals.
Crosscorrelation Function of Energy Signals.
Discrete Spectrum.
Spectrum (Spectral Density).
Assignment and preparation of the Lab. report No.1. System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Assignment and preparation of the Lab. report No.2.
DTFT and FFT of a Discrete Time Signal.
Discrete Time System Analysis in the Time Domain.
DTFT Analysis of the Causal Discrete Time Filter.
Final Test. Conclusion of the Course.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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