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Correlation analysis of optically trapped particle motion
Koudelníček, Karel ; Jákl,, Petr (referee) ; Harabiš, Vratislav (advisor)
This bachelor’s thesis deals with the description of random (Brownian) motion of microscopic particle trapped by optical trap. This thesis provides overview of possible usage in biology. The major part of the thesis is dedicated to description of methods that allow characterize optical trap with etc. stiffness thanks to the random motion. First, the estimation methods are tested on the simulated data. Before using these methods for real data, it was necessary to modify them, specifically to eliminate crosstalk and frequency noise. The differences in the estimation of the stiffness from the autocorrelation function and the power spectrum were described in the conclusion.
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Analysis and prognosis of elite male and female triathletes performance at the ITU World Triathlon Championships in 1989-2016 in Olympic Triathlon
Látová, Lenka ; Kovářová, Lenka (advisor) ; Suchý, Jiří (referee)
Title: Analysis and prognosis of elite male and female triathletes performance at the ITU World Triathlon Championships in 1989-2016 in Olympic triathlon Objectives: To analyse male and female performance in individual parts of the triathlon (swim, bike, run) as well as the whole race performance during the years 1989 - 2016. To determine the performance prediction of racers using the time series analysis for Olympic triathlon in ITU World Triathlon Championship in 2028. Methods: For statistical data processing we will apply the time series analysis using SPSS Statistics 22 software. We will then add the historical content and the actual conditions of the race to the final graphs. On the basis of the processed data, we will create a performance prediction for 2028 using Excel program. Results: In swimming, women are approaching men's performance and they are now on 92.2%. In the future, women will not come closer to men's times. Performance will improve slightly. In cycling, the gap between men and women is 10%. We do not expect any major change in the future. According to the trend of development, we find deterioration in both categories, especially in men. At the moment, the performance of women in running is 88.3% of men. We do not expect any change in the future. However, male and female times...
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Do crypto-currencies form a new asset class?
Mayr, Samuel ; Krištoufek, Ladislav (advisor) ; Hanus, Luboš (referee)
This paper examines statistical properties of crypto-currencies' price variations in comparison with statistical properties of price variations in common financial markets. Price data of Bitcoin, ripple and Litecoin have been directly compared with price data of euro currency and stock index S&P500. Additionally, and compared with set of stylized facts of asset returns. The properties in scope of this work include an autocorrelation of day-to-day returns, a shape of return distributions, a volatility clustering, a leverage effect and a volume/volatility correlation. To answer the question of this thesis, we have tried to find unique differences in the way prices of crypto-currencies behave. After every point of the data analysis has been checked, we have concluded that the only major difference is in the shape and the significance of autocorrelation in day-to-day returns. While crypto-currencies seem to autocorrelate, there has been no such a cross-autocorrelation found in the benchmark values. Therefore, we argue that it is the most distinctive sign of crypto-currencies and the reason for crypto-currencies to be regarded as separate asset class. Powered by TCPDF (www.tcpdf.org)
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Comparison of the coordination characteristics of the step of walking on the run trainer and on the natural ground
Dančová, Štěpánka ; Kračmar, Bronislav (advisor) ; Pavelka, Radim (referee)
Title: Walking step coordination characteristic comparison for walking on running simulator and off-road walking. Objectives: Goal of the thesis is to measure, analyze and evaluate data of activity and involvement of lower limb muscles for offroad walking and walking on running simulator. The measured characteristic will be intra-individually and extra-individually compared. Method: Surface polyelectromyography method for data measurement and kineziological movement analysis method for values comparison are used in the thesis. Ten muscles of lower limb (2 5 muscles on left and right lower limb) were chosen. Results: Ten lower limb muscles were chosen and their activity for walking on running simulator and offroad walking was measured by surface polyelectromyography method on ten sportsmen. The results indicate that chosen muscles participate on monitored movement. The analysis shows that the muscles activity follows the same order for each of tested sportsmen independently on the external condition (running simulator and offroad walking). The thesis that correlation of measured values is higher for running simulator have been confirmed. But m.gluteus.med. and m.glut.max. have variation in the activity of the involvement in the field and on the treadmill. Similar results have also m.vastus med....
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Sensorless velocity control and positions of d.c. low-power brush motor
Svoboda, Jan ; Hanák, Pavel (referee) ; Prajzner, Václav (advisor)
This bachelor's thesis focuses on sensorless control of low load brushed DC motor that is used in the actuators made by the Honeywell company. The first part provides an introduction into motor control and common used methods of speed and position sensing of brushed DC motor. Sensorless method of sensing described in this work is the detection of commutation pulses from the signal of motor current. These pulses are caused by brushes leaping over the commutator bars. Correct evaluation of commutation pulses can provide the information about velocity and position of the motor. This relatively new method of detection of commutation pulses is investigated and arising problems are demonstrated on measured samples of signal. Suitable methods of signal processing are then proposed. Infallibility of these signal processing methods is then proved on the set of signals measured under circumstances of supply voltage and abrasion. Then it is decided which signal processing method that sensorless control system can use is the best.
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Estimation of pitch period
Matuštík, Daniel ; Tučková, Jana (referee) ; Sigmund, Milan (advisor)
This diploma thesis with estimation of pitch period of the human voice. The paper listed some of the methods for Estimation of pitch period and method for preprocessing and final processing of the signal after application of functions to determine the frequency of the pitch period in graphical user interface.
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Recognition of musical recordings
Masár, Igor ; Horka, Michal (referee) ; Sigmund, Milan (advisor)
This thesis analyzes the specific audio signal-music. It describes the basic methods of analysis of musical signals. The following are mentioned the most common music file formats and the possibility of cross transfer. There are explained terms of music theory, which are also present in this work. They are described and created three ways of detecting melody. It is selected optimal algorithm based on the successful detection of the reference melodies recordings. User interface is created in MATLAB GUI allows recognition of recordings. This interface is tested on few melodies.
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LPC Speech Coding
Zapletal, Ondřej ; Kyselý, František (referee) ; Rajmic, Pavel (advisor)
The contents of the thesis "LPC speech coding" are studies of this method of a parametric source coding, explanation of mathematical procedures that are used in it (linear prediction, autocorrelation, Levinson-Durbin algorithm, transfer to a form suitable for transmission, Chebyshev root searching polynomial method) and acquaintance with the signification and application of that method in real speech encoders. The task of the original project of this thesis is a description and simulation of a simple speech encoder based on LPC, which transforms a real speech signal into a bit flow, which contains all of the significant parameters for its backward reconstruction (LSF coefficients, pitch period, excitation level, voice detection - AMDF method). One part of this thesis is a discussion about currently used speech encoders.
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Modern coding of speech signals using overcomplete models
Zapletal, Ondřej ; Průša, Zdeněk (referee) ; Rajmic, Pavel (advisor)
The theoretical contents of this thesis are studies of overcomplete models. Those are the models of signals, on which is set for their parametrization more variables, than it's necessary and consequently there's computed so-called sparse solution via iteration algorithms. A goal of this analysis is a selection just of the considerable (sparse) parameters. The theory is based on a linear algebra, vector spaces, bases and so-called frames. The task of the individual project of this thesis is a description and simulation of two speech coders: a classical coder based on linear predictive speech coding and a coder, that's making use of overcomplete stochastic ARMA processes models. A part of their realization is to simulate their decoders and a analyze their reconstruction quality. For their realization there is used MATLAB and an overcomplete models' library (toolbox frames).
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