450-2036/02 – Digital Signals and Systems (CSaS)

Gurantor departmentDepartment of Cybernetics and Biomedical EngineeringCredits4
Subject guarantorIng. Zdeněk Macháček, Ph.D.Subject version guarantorIng. Zdeněk Macháček, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year3Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MAC37 Ing. Zdeněk Macháček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 2+12

Subject aims expressed by acquired skills and competences

The purpose of the course Digital Signals and Systems is to provide a common background for digital signal processing and digital filter design. Student will master the analysis of both the discrete-time signal and discrete time LTIL system. The correlation analysis and spectral analysis of signal and system will be discussed. Laboratory work will be made in MATLAB and in MATLAB/Simulink toolbox environment.

Teaching methods

Lectures
Individual consultations
Tutorials
Experimental work in labs

Summary

The purpose of the course is to provide a common background for BS courses in control and communicastion. It is oriented in digital signal processing and digital filter design. The course Digital Signals and Systems introduces discrete-time and digital signals and systems. It is a subsequent course to the BS course Foundation of Signals and Systems which is devoted mainly to continuous-time signals and systems. The course introduces fhe following five major topics: 1. Fundamental concepts (causality, linearity, time-invariance, lumpedness and their applications) 2. Signal analysis (discrete-time Fourier transform, frequency spectrum and its computations) 3. System analysis (LTIL system analysis, the difference equations, z-transform) 4. Stabilities and their implications (filtering, frequency response, model reduction and memory circuits) 5. State variable equations and computer simulations (numerical methods, simulation means).

Compulsory literature:

Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994. Nevřiva P.: Signals and system Analysis II. Soft handout. VŠB TU Ostrava, Ostrava 2005.

Recommended literature:

Couch L.W.II: Digital and Analog Communications Systems. Macmillan, New York 1989. E.C. Ifeachor, B.W. Jervis: Digital Signal Processing, A Practical Approach, Addison-Wesley Publishing Company

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 one test. Student can acquire up to 20 points for it. 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 presented laboratory works and one 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

There are not defined other requirements for student

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: PAM-I modulation. Continuous-Time Impulse Waveform wI(t). Basic Definitions, the Theme of Study. Impulse Signal wI(t) Generation by Sampling a Signal w(t).Autocorrelation Function of Impulse Signal wI(t). Crosscorrelation Function of Impulse Signals wAI(t), wBI(t). Spectrum of Impulse Signal wI(t).Spectral Density of Impulse Signal wI(t). Reconstruction of Continuous-Time Signal w(t) by wI(t). Filtering.Theorem of Shannon - Kotelnikov. Discrete-Time Signal w[k]. Basic Definitions, the Theme of Study. Correlation Function of Discrete-Time Signal w[k]. Cross-correlation Function of Discrete-Time Signals wA[k], wB[k]. Spectrum of Discrete-Time Signal w[k].FFT. Energy Spectrum of Discrete-Time Signal w[k]. Power Spectrum of Discrete-Time Signal w[k]. Spectral Density of Discrete-Time Signal w[k].DTFT. Energy Spectral Density of Discrete-Time Signal w[k]. Power Spectral Density of Discrete-Time Signal w[k]. Discrete-Time System. Basic Definitions, the Theme of Study. LTIL Discrete-Time System. Convolution. Description of LTIL Discrete-Time System H by Difference Equation. Discrete-Time System Described by Difference Equation. Analytical Solution in the Time Domain. Discrete-Time System Described by Difference Equation. Solution in the Frequency Domain. Design of Digital Filters and Controllers The Use of z-Transform. Properties of z-Transform. Description of LTIL System H by Transfer Function H(z). Stability Analysis of LTIL Discrete-Time System. State Equation. Derivation of State Equation. Analytical Solution of State Equation. Laplace Transform and z-Transform of State Equations. Conclusion. Computer labs: Introduction. Calculation of Spectrum of Impulse Signal wI(t). Calculation of Spectral Density of Impulse Signal wI(t). PAM-I modulation. Calculation of Charakteristics of Impulse Signal wI(t). Discrete-Time Signal w[k]. Autocorrelation Function of Disctrete-Time Signal w[k]. Crosscorrelation Function of Discrete-Time Signals wA[k], wB[k]. FFT. Spectrum of Discrete-Time Signal w[k]. Calculation of Spectral Density of Discrete-Time Signal w[k]. Protocol No.1 Specification. Numeric calculation of charakteristics of energy and periodic discret-time signals. Symbolic Toolbox. Description of LTIL Discrete-Time System H by Difference Equation. z-Transform. Stability Analysis of LTIL Discrete-Time System. Discrete-Time System Analysis. LTIL Discrete-Time System Responses. Protocol No.2 Specification. Numeric Analysis of LTIL Discret-Time System. Model of the system, calculation of system response. Simulation LTIL Discrete-Time System in MATLAB/Simulink. Numerical Solution of Differential Equation. Analytic Solution of State Equations. Závěrečný test. Ukončení počítačových laboratoří.

Conditions for subject completion

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40 (40) 10
                laboratory work Laboratory work 20  5
                Writen exam Written test 20  5
        Examination Examination 60 (60) 11
                Written exam Written examination 50  10
                Oral exam Oral examination 10  1
Mandatory attendence parzicipation: obligatory participation at all exercises, 2 apologies are accepted

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 3 Optional study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 3 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 3 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 3 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 3 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 3 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 3 Optional study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 3 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 3 Optional study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 3 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2019/2020 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2018/2019 Full-time English Optional 401 - Study Office stu. block
ESME students 2018/2019 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2017/2018 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2016/2017 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2015/2016 Full-time English Optional 401 - Study Office stu. block