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Using Hilbert Transform for biosignal samples ansamble statistical estimation

Authors: Tsupryk, H. B.;

Using Hilbert Transform for biosignal samples ansamble statistical estimation

Abstract

For controlling and diagnosing of functional state, for correction functions of biological object the method of electrophysiological active research of this object often use. In particularly the use of low level light intensity (LLLI) for stimulation of biological object (information influence on biological object) is effective enough. The tendencies to reduce of light intensity is caused by necessity as comfortable conditions for biological object so and (in concordance with Weber-Fechner's law) increasing informativeness of response of that biological object. However, the ratio of response power to the noise power (RRN) is decreasing strongly after that. Decreasing intensity of stimulation is causing increasing of the initial (latent) part of the response of bio-object. In addition, the length of latent parts responses are stochastic. Therefore, there is a need of statistical estimation ensemble of these responses with aim to improve RRN. The standard method estimating of the response is the averaging of the responses, estimating the moment of first order of probability distribution function of values the responses. Estimating statistical characteristics of the response of bioobject on to LLLI stimulation using statistical processing of ensemble of the responses is the problem. Using interactive synchronization procedures, and synchronization automation by using perfusing blood or by heart rhythm greatly complicates both hardware and software. In this paper the ways for ensure coherences of the responses after the excitations of biological object which are in the general sample (in the ensemble) had been explored. The results of computer simulation of statistical test are obtained. Improvement of the quality of estimation of the mathematical expectation of ensemble of responses after Hilbert transform is detected. The results are used to automate the information-analytical systems of active research of biological objects.

Исследованы способы обеспечения когерентности откликов биообъекта на его раздражение в их генеральной совокупности (ансамбле). Представлены результаты компьютерного моделирования статистических испытаний. Обнаружено повышение качества оценивания математического ожидания отклика при использовании преобразования Гильберта ансамбля откликов. Результаты исследований использованы для автоматизации информационно-аналитических систем активных исследований биообъектов.

Досліджено методи забезпечення когерентності відгуків біооб’єкту на подразнення у їх генеральній сукупності (ансамблі). Наведено результат комп’ютерного моделювання статистичних випробувань. Виявлено підвищення якості оцінювання математичного сподівання відгуку при використанні перетворення Гільберта ансамблю відгуків. Результати досліджень використано для автоматизації інформаційно-аналітичних систем активних досліджень біооб’єктів.

Keywords

біооб’єкт; подразнення; відгук; перетворення Гільберта; когерентна обробка; якість оцінки, 004.942; 53.05; 617.735, biological object; excitation; response; Hilbert transform; coherence processing; quality estimate, биообъект; раздражение; отклик; преобразование Гильберта; когерентная обработка; качество оценки

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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