455-0533/01 – Signals and Systems (SaS)

Gurantor departmentDepartment of Measurement and ControlCredits5
Subject guarantorprof. Ing. Pavel Nevřiva, DrSc.Subject version guarantorprof. Ing. Pavel Nevřiva, DrSc.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2003/2004Year of cancellation2003/2004
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DEM75 Ing. Blanka Filipová, Ph.D.
NEV10 prof. Ing. Pavel Nevřiva, DrSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Part-time Credit and Examination 3+2

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.

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

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history
Part-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner