Gurantor department | Institute of Physics | Credits | 5 |

Subject guarantor | doc. Dr. Ing. Michal Lesňák | Subject version guarantor | doc. Dr. Ing. Michal Lesňák |

Study level | undergraduate or graduate | Requirement | Choice-compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2013/2014 | Year of cancellation | 2017/2018 |

Intended for the faculties | HGF, USP | Intended for study types | Follow-up Master |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

LES66 | doc. Dr. Ing. Michal Lesňák |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

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

To know signal classification and methods of processing with emphasis on mathematical methods of signal processing for the description of technological processes.

Lectures

The subject is drawn up as a theoretical subject of basic technical Master
study. It deals with studies of both analogue and digital deterministic and
stochastic signals. The most important part is devoted to processing of noises
(white, ping). All mathematical methods standard for analyses and processing
of signals, especially theory of probability and statistics, are widely used.

Alan V. Oppenheim: Digital Signal Processing. ISBN-10: 0132146355.

Alan V. Oppenheim: Digital Signal Processing. ISBN-10: 0132146355.

Systematic preparation for lectures

Subject has no prerequisities.

Subject has no co-requisities.

Historical development, current situation and development perspectives of the theory of signal. Use signals and signal systems in science and technology. Signals and their classification. Examples of signals and their spectra.
Deterministic signals. Spectral analysis of signals.
Harmonious process. Periodic waveforms. Performance ratios for periodic waveforms
(Parseval's theorem). Non-periodic waveforms. Energy ratios for non-periodic
curves (Rayleigh theorem). Properties of signals and spectra (additivity,
superposition, convolution). Elementary functions and their transformation (unit
jump, the unit impulse). Discrete Fourier transformation. Fast Fourier
transformation.
Sampling signals. Principles of sampling. Shannon-
Kotělnikovova (sampling) theorem. Spectrum of sampled signal.
Stochastic signals. Stochastic properties of signals.
Probability of occurrence of the phenomenon (the phenomenon of probability, statistical definition
probability, geometrical definition of probability). Random variables
(Partition function, numerical characteristics of random variables, some types of
distribution of random variables). Systems of random variables. Functions of random
variables. Random processes. Statistics random process. Stationary Random
processes. Ergodic random processes. Autokovarianční function. Autocorrelation
function. The mutual correlation function.
Mathematical methods of signal processing. Fourier analysis
signal (Fourier series, Fourier integral, Fourier transform).
Laplace transformation. Wagner-Laplace transformation. Bilinear
transformation. Z-transform. Hilbert transformation. Walsh transformation.
Haar transformation. Window transformation. Wavelet transform.
Linear signal transmission system. Transfer factor. Pulse
characteristics. Step response. Linear distortion. Nonlinear
distortion.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |

Exercises evaluation | Credit | 30 | 18 |

Examination | Examination | 70 | 21 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2017/2018 | (N1701) Physics | (1702T001) Applied Physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2016/2017 | (N1701) Physics | (1702T001) Applied physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2016/2017 | (N1701) Physics | (1702T001) Applied Physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2015/2016 | (N1701) Physics | (1702T001) Applied physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2014/2015 | (N1701) Physics | (1702T001) Applied physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2013/2014 | (N1701) Physics | (1702T001) Applied physics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan |

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