455-0503/01 – Fundamentals of Signals and Systems Theory (ZTSS)

Gurantor departmentDepartment of Measurement and ControlCredits6
Subject guarantorprof. Ing. Pavel Nevřiva, DrSc.Subject version guarantorprof. Ing. Pavel Nevřiva, DrSc.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2003/2004Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MAC37 Ing. Zdeněk Macháček, 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 4+2
Combined Credit and Examination 2+12

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.

Teaching methods

Lectures
Individual consultations
Tutorials
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 both B.SC degree students and MS 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, New York 1989.

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 10 points for each of works plus active exam. Maximum number of points student can gain through tests is 2 * 10 = 20 points. Student has to elaborate the final test. Student can acquire up to 20 points for the test and activity. Student can gain up is 20 + 20 = 40 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 - 50 points and oral part 0 -10 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

Další požadavky na studenta

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. Application in communications. Amplitude modulation. Frequency modulation. Laplace transform in signal and system analysis. Discrete time Signal.Signal analysis in the time domain and in the frequency domain. Discrete time Signal.Signal analysis in the time domain and in the frequency domain. Computer labs: Introduction in Laboratory Work. Basic Characteristics of Signals. Cross-correlation 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. Amplitude modulation of the train of rect.impulses. Laplace Transform of a LTIL System. Analysis a Discrete Time Signals in MATLAB. Final Test. Conclusion of the Course.

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 (100) 51
        Exercises evaluation Credit 40 (40) 0
                Laboratory work Laboratory work 20  0
                Written exam Written test 20  0
        Examination Examination 60 (60) 0
                Written examination Written examination 50  0
                Oral Oral examination 10  0
Mandatory attendence parzicipation:

Show history
Combined 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 (100) 51
        Exercises evaluation Credit 40 (40) 0
                Laboratory work Laboratory work 20  0
                Written exam Written test 20  0
        Examination Examination 60 (60) 0
                Written examination Written examination 50  0
                Oral Oral examination 10  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner