455-0019/01 – Signals and Systems I (SAS1)

Gurantor departmentDepartment of Measurement and ControlCredits8
Subject guarantorprof. Ing. Pavel Nevřiva, DrSc.Subject version guarantorprof. Ing. Pavel Nevřiva, DrSc.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semesterwinter
Study languageCzech
Year of introduction1992/1993Year of cancellation2008/2009
Intended for the facultiesFEIIntended for study typesMaster
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 3+2

Subject aims expressed by acquired skills and competences

The purpose of the course is to provide a common background for MS courses in control, communication, electronic circuits, filter design, digital signal processing.

Teaching methods

Summary

The purpose of the course is to provide a common background for MS. students courses in control, communication, electronic circuits, filter design, digital signal processing. This course is intended primarily for 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 Publishing Comp., 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 discrete-time signal, the second one is related to the analysis of the discrete-time system. Student can receive up to 10 points for each of works. Maximum number of points student can gain through tests is 2 * 10 = 20 points. Student has to elaborate two test. Student can acquire up to 10 points for each of them. Maximum number of points which student can gain through the tests is 2 * 10 = 20 points. Student can gain up to 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 two tests. To pass the laboratory part of the course student has to gain at least 20 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. 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. Projects: Project No.1: Numeric calculation of charakteristics of energy and power continuous-time signals. Project No.2:Numeric Analysis of LTIL System. Model of the system, calculation of system response. Computer labs: Introduction. Basic Characteristics of Signals. Crosscorrelation Function of Energy Signals. Assignment of the Task No. 1. Discrete Spectrum. Spectrum (Spectral Density). Test No.1. The Final Term of Submit of Task No.1. System Analysis in the Time Domain -Simulink. Assignment of the Task No. 2. Stability by Ljapunov. Frequency Transfer Function of the System. DTFT and FFT of a Discrete Time Signal. Discrete Time System Analysis in the Time Domain. Test No.2. The Final Term of Submit of Task No.2. DTFT Analysis of the Causal Discrete Time Filter. 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:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2007/2008 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava 3 Compulsory study plan
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