455-0533/01 – Signals and Systems (SaS)
| Gurantor department | Department of Measurement and Control | Credits | 5 |
| 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 | 2003/2004 | Year of cancellation | 2003/2004 |
| 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:
Two laboratory works each of them 10 points apiece, one test at 20 points and individual project at 20 points. This is 50 points in sum.
Conditions for credit:
Student has to elaborate two laboratory works, test and individual project. To pass the laboratory part of the course student has to gain at least 26 points from the laboratory excercices.
E-learning
Other requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
Continuous-Time Signal w(t).
Basic Definitions. Time Averages. Orthogonal Functions. Sinusoidal Wave. Dirac Impulse.
Correlation Analysis of Continuous-Time Signal.
Spectral Analysis of Continuous-Time Signal I.
Fourier Series. Spectra. Energy Spectra. Power Spectra.
Spectral Analysis of Continuous-Time Signal II.
Fourier Transform. Spectral Density. Energy Spectral Density. Power Spectral Density.
Periodic Signal.
Correlation and Spectral Analysis of Periodic Signal.
Energy Signal.
Correlation and Spectral Analysis of Energy Signal.
Random Signal.
Correlation and Spectral Analysis of Random Signal. Random Process.
Signal and Noise.
Signal Distortion Caused by Noise. Selected Problems.
Review of Continuous-Time Linear Time-Invariant Lumped System I.
Linear System. Linear Time Invariant System. Convolution. Linear Time Invariant Lumped System. Description of the LTIL System by Ordinary Differential Equation.
Review of Continuous-Time Linear Time-Invariant Lumped System II.
Impulse Response. Transfer Function. Transformation of the Sinusoidal Wave by LTIL System. Stability Problem.
Discrete-Time Signal w[k].
Basic Definitions. Sinusoidal Wave. Kronecker's Delta Sequence. Sampling. Discrete-Time Signal w[k] Derivation from Continuous-Time Signal w(t). Correlation Analysis of Discrete-Time Signal.
Spectral Analysis of Discrete-Time Signal.
Discrete-Time Fourier Transform. Spectra. Energy Spectra. Power Spectra.
Spectral Density. Energy Spectral Density. Power Spectral Density.
Reconstruction of Continuous-Time Signal w(t) by w[k] Filtering.
Shannon's Theorem.
Review of Discrete-Time Linear Time-Invariant Lumped System.
Convolution. Description of the LTIL System by Ordinary Difference Equation.
Derivation of the Equation from Convolution. Impulse Response. Transfer Function. Stability Problem.
Projects:
Students projects are individual ones. Projects are oriented in Continuous Time Signal Correlation and Spectral Analysis. Student prepares an analysis of both the task and mathematic background, develops the method of the solution and the program in Matlab. The numerical results will explain by qualitative comment. Student will present his work by protocol of min. 2 and max. 4 pages, a program will be delivered at a discette.
Computer labs:
Use of MALTAB in the B.Sc. Course Signal Processing.
Laboratory Task Solution in MATLAB.
MATLAB Application Fundamentals I.
Individual Work of Student on PC in MATLAB: Basic MATLAB Operations.
Individual Work of Student on PC in MATLAB: Input and Output MATLAB Operations.
Laboratory Theme No. 1: Continuous Time Signal Correlation and Spectral Analysis.
Theme No. 1 Assignment
Laboratory Theme No. 1.
Discussion on the Task A.
Individual Work of Student on PC in MATLAB: Analysis of Sinusoidal Signal.
Task C Analysis of Periodic Signal
Discussion on the Task B
Individual Work of Student on PC in MATLAB: Analysis of Periodic Signal
Laboratory Theme No. 1.
Discussion on the Task C.
Individual Work of Student on PC in MATLAB: Analysis of Energy Signal.
Laboratory Theme No. 1.
Discussion on the Task D.
Individual Work of Student on PC in MATLAB: Analysis of Random Signal.
Tutorial Lesson on Laboratory Theme No. 1. Discussion on Final Results.
Individual Work of Student on PC in MATLAB: The Paper on Laboratory Theme No. 1 Compilation
MATLAB Toolbox SIMULINK Application Fundamentals. Laboratory Task Solution in MATLAB Toolbox SIMULINK
Individual Work of Student on PC in MATLAB: Basic MATLAB Toolbox SIMULINK Operations.
Final term for the submission of the Paper on Laboratory Theme No. 1.
Laboratory Theme No. 2: Continuous-Time Signal Filtering.
Theme No. 2 Assignment
Laboratory Theme No. 2.Discussion on the Task A
Individual Work of Student on PC in MATLAB SIMULINK: Systems of the first and second order. RC Low-Pass Filter Characteristics.
Laboratory Theme No. 2. Discussion on the Task B
Individual Work of Student on PC in MATLAB SIMULINK: Distortion of the signal by the system. Sinusoidal Signal Distortion Caused by a RC Filter.
Tutorial Lesson on Laboratory Theme No. 2. Discussion on Final Results. Individual Work of Student on PC in MATLAB: Laboratory Theme No. 2 Paper Compilation
Final term for the submission of the Paper on Laboratory Theme No. 2.
Tutorial Lesson on the Selected Problems of Signal Modulation.
The Course Conclusion
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.