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Michelson's interferometer
Rýc, Jan ; Klusáček, Stanislav (referee) ; Havránek, Zdeněk (advisor)
The diploma work deals with techniques of optical contactless distance and velocity measurement. A basic summary of the methods are involved. The problematic of interferometric methods for vibration measurements is analysed in detail. It contains division of interferometers, description of their function principles and also chapters dealing with elements used in interferometers such as lasers, photodetectors and elements in the ray optical way - polarizers, retarders, optical isolators. The vibration and length measurement methods are described, as well as the conception of homodyne and heterodyne detection. Part of this work focuses on the quadrature signal processing and on the proposal of algorithm for demodulation of velocity/displacement and undergoing simple motioning object deviation. This algorithm is implemented in Labview and the whole software instrument served also for visualisation of measured data of the interferometer model constructed in the laboratory. The way how to build up a model, its setting and two possible configurations suitable for homodyne detection are described. Model of interferometer is built-up on the optical breadboard. Particular components are fixed by the help of mounts. The model and software enable to measure the velocity and the vibration deviation with the light wavelength exactness. Functionality and the exactness of the laboratory model are verified by vibrometer. Effects on the measurement uncertainty are discussed here and ways how to restrain them are proposed.
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Heart Sounds Detector
Hlaváčová, Kristýna ; Králík, Martin (referee) ; Kozumplík, Jiří (advisor)
In this thesis deals with detection of heart sounds in signal. In first half of thesis is discussed anatomy, physiology of cardiovascular system and issue of heart sounds. Afterwards, devices for evalution phonocardigram signals and their analysis are described. Thereafter the work focuseson the algorithm for detection of the first and second heart sound, which was implemented in the MATLAB R2014a environment. In conclusion, there is a summary of the proposed method and statistic evaluation.
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Detection of QRS complexes in multilead ECG signals
Dufková, Barbora ; Němcová, Andrea (referee) ; Kozumplík, Jiří (advisor)
The aim of this thesis is to acquaint the reader with the basic methods of QRS detection in a multilead ECG signals and with the possibilities of implemetation of these methods in Matlab. Firstly, the methods of signal preprocessing, which are based on orthogonal and pseudoorthogonal leads, are described. Then there are described some implemented and also some more advanced unrealized methods.The implemented methods are tested on the CSE database. The last part of the work is a comparison with the results of other authors who also tested their algorithms on the CSE database.
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Using Hilbert Huang transformation for analysis of non-stationary signals from physical experiments
Tuleja, Peter ; Balík, Miroslav (referee) ; Rášo, Ondřej (advisor)
This paper discusses the possible use of Hilbert-Huang transform to analyze the data obtained from physical experiments. Specifically for the analysis of acoustic emission in the form of acoustic shock. The introductory section explains the concept of acoustic emission and its detection process. Subsequently are discussed methods for signal analysis in time-frequency domain. Specifically, short-term Fourier transform, Wavelet transform, Hilbert transform and Hilbert-Huang transform. The final part contains the proposed method for measuring the performance and accuracy of different approaches.
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Implementation narrowly directed beeper
Hladký, David ; Drexler, Petr (referee) ; Mikulka, Jan (advisor)
The present final thesis discusses the transmission of a narrowly directional parametric sound beam through an amplitude-modulated ultrasonic wave, utilizing the effect of auto-demodulation in a nonlinear medium and ensuring the subsequent processing of the input signal for the parametric sound transmitter. Emphasis is placed on the mathematical tools that relate to parametric sound transmission in a nonlinear medium. The basic part of the thesis describes a parametric speaker and the associated amplitude modulation techniques, which constitute a major prerequisite for the processing of the transmitted signal. In the following section, the author then analyzes the computational intensity of these techniques, considering applicable hardware approaches. Finally, the fabrication and practical use of the proposed solution are discussed, including the measurement of typical parameters such as the spatial radiation characteristics, total harmonic distortion, and transmission channel bandwidth.
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Real time signal processing
Nepovím, Pavel ; Rášo, Ondřej (referee) ; Mlýnek, Petr (advisor)
The aim of the master’s thesis is to acquaint the reader with Discrete Fourier Transform DFT and its introduction to spectral analysis descrete time signals. Furthermore it describes efficient computation of the DFT using the algorithm Fast Fourier Transform FFT and effects that appear in the DFT spectral analysis, the effect of the length of the DFT, the effect of the length of the segment of the analysed signal and the leakage. Next is explained the issue of the complex representation of real bandpass signals in the baseband, called the complex envelope of signals. This represenation uses the Hilbert Transform and the analytic signal. The thesis also describes the application library Real Time Toolbox of the software Matlab/Simulink, that uses the data acquition card AD622 allows to connect and process real signals in real time. In Matlab/Simulink with use this facilities is create the laboratory lesson, that simulating the complex represenation of real bandpass signals in real time.
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Optimality of function spaces for classical integral operators
Mihula, Zdeněk ; Pick, Luboš (advisor)
We investigate optimal partnership of rearrangement-invariant Banach func- tion spaces for the Hilbert transform and the Riesz potential. We establish sharp theorems which characterize optimal action of these operators on such spaces. These results enable us to construct optimal domain (i.e. the largest) and op- timal range (i.e. the smallest) partner spaces when the other space is given. We illustrate the obtained results by non-trivial examples involving Generalized Lorentz-Zygmund spaces with broken logarithmic functions. The method is pre- sented in such a way that it should be easily adaptable to other appropriate operators. 1
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Detection of QRS complexes in multilead ECG signals
Dufková, Barbora ; Němcová, Andrea (referee) ; Kozumplík, Jiří (advisor)
The aim of this thesis is to acquaint the reader with the basic methods of QRS detection in a multilead ECG signals and with the possibilities of implemetation of these methods in Matlab. Firstly, the methods of signal preprocessing, which are based on orthogonal and pseudoorthogonal leads, are described. Then there are described some implemented and also some more advanced unrealized methods.The implemented methods are tested on the CSE database. The last part of the work is a comparison with the results of other authors who also tested their algorithms on the CSE database.
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Optimality of function spaces for classical integral operators
Mihula, Zdeněk ; Pick, Luboš (advisor)
We investigate optimal partnership of rearrangement-invariant Banach func- tion spaces for the Hilbert transform and the Riesz potential. We establish sharp theorems which characterize optimal action of these operators on such spaces. These results enable us to construct optimal domain (i.e. the largest) and op- timal range (i.e. the smallest) partner spaces when the other space is given. We illustrate the obtained results by non-trivial examples involving Generalized Lorentz-Zygmund spaces with broken logarithmic functions. The method is pre- sented in such a way that it should be easily adaptable to other appropriate operators. 1
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