455-0904/01 – Common Theory of Signals and Systems (OTS)

Gurantor departmentDepartment of Measurement and ControlCredits10
Subject guarantorprof. Ing. Pavel Nevřiva, DrSc.Subject version guarantorprof. Ing. Pavel Nevřiva, DrSc.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction1960/1961Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesDoctoral
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+0
Combined Credit and Examination 2+0

Subject aims expressed by acquired skills and competences

The purpose of the course is to provide a common background for study in control, communication and digital signal processing.

Teaching methods

Summary

The course Common Theory of Signals and Systems is intended primarily for doctoral students in electrical engineering at VSB TU FEI Ostrava. The purpose of the course is to provide a common background for study in control, communication and digital signal processing. The course Common Theory of Signals and Systems offers sophisticated discussion to the theme of VSB TU Ostrava master courses Signals and Systems I (continuous-time signals and systems) and Signals and Systems II (discrete-time and digital signals and systems). The course introduces fhe following five major topics: 1. Common concepts (linear systems, LTIL systems, continuous-time signals and systems, discrete-time signals and systems, impulse response, convolutions, description of the continuous-time system by differential equation, description of the discrete-time system by difference equation) 2. Signal analysis (the Fourier series and the Fourier transform, discrete-time Fourier transform and z-transform, orthogonal approximation) 3. System analysis (the differential equations, Laplace transform, the difference equations and z-transform) 4. Stabilities and their implications (stability in the sence of Lyapunov and BIBO stability of continuous-time and discrete-time systems) 5. State variable equations and computer simulations (numerical methods, numerical stability, round-off error, simulation means) The student is assumed to have had courses in physics, electronic circuit analysis, differential equations, difference equations and liner algebra. Knowledge of the signal and system analysis presented in the master courses Signals and Systems I and Signals and Systems II is helpfull.

Compulsory literature:

Vejražka, F.: Signály a soustavy. ČVUT Praha, Praha 1990.

Recommended literature:

Couch II, L..W.: Digital and analog communication systems. Macmillan P.C., New York 1989.

Way of continuous check of knowledge in the course of semester

Verification of study: Tuition own project.

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Functions of complex variable. Integration in complex plane. Nyquist test. The Fourier series, the Fourier transform. Calculus of probability. computional statistics. Correlation functions, power spektrum, Wiener Chinčin theorem. Orthogonal functions and series. Signals and noise. Digital signal. z-transform and diferential equations. Linear systems. LTIL systems. Signal and LTIL system. System response. Bandwidth. PAM modulation. Sampling of signal. Optimal sampling. Shannon - Kotelnik theorem. Impulse code modulation. Quantization and coding of signal. Bandwidth PCM. Modulation error. Sampling of signal and noise. Other modulations.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2012/2013 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.FormStudy language Tut. centreYearWSType of duty
2009/2010 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2009/2010 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2009/2010 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics K Czech Ostrava Choice-compulsory study plan
2009/2010 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics K Czech Ostrava Compulsory study plan
2008/2009 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2008/2009 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2008/2009 (P2612) Electrical Engineering and Computer Science (2612V015) Electronics K Czech Ostrava Choice-compulsory study plan
2008/2009 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics K Czech Ostrava Compulsory study plan
2008/2009 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics K Czech Ostrava Choice-compulsory study plan
2007/2008 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2007/2008 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2006/2007 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2006/2007 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2005/2006 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2005/2006 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2004/2005 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2004/2005 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2003/2004 (P2645) Electrical Engineering, Communication and Computer systems (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2003/2004 (P2645) Electrical Engineering, Communication and Computer systems (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2002/2003 (P2612) Electrical Engineering and Computer Science (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2002/2003 (P2612) Electrical Engineering and Computer Science (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan
2001/2002 (P2612) Electrical Engineering and Computer Science (2612V015) Electronics P Czech Ostrava Choice-compulsory study plan
2001/2002 (P2612) Electrical Engineering and Computer Science (2612V045) Technical Cybernetics P Czech Ostrava Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner