Gurantor department | Department of Cybernetics and Biomedical Engineering | Credits | 4 |

Subject guarantor | Ing. Zdeněk Macháček, Ph.D. | Subject version guarantor | Ing. Zdeněk Macháček, Ph.D. |

Study level | undergraduate or graduate | ||

Study language | English | ||

Year of introduction | 2015/2016 | Year of cancellation | 2021/2022 |

Intended for the faculties | FEI | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

MAC37 | Ing. Zdeněk Macháček, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

Part-time | Credit and Examination | 2+12 |

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.

Lectures

Individual consultations

Tutorials

Experimental work in labs

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).

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.

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

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.

There are not defined other requirements for student

Subject has no prerequisities.

Subject has no co-requisities.

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 completion are defined only for particular subject version and form of study

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type 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 |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
---|---|---|---|---|---|---|---|---|---|

V - ECTS - bc. | 2021/2022 | Full-time | English | Optional | 401 - Study Office | stu. block | |||

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 |

Předmět neobsahuje žádné hodnocení.