• Title/Summary/Keyword: lyapunov dimension

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A possible application of the PD detection technique using electro-optic Pockels cell with nonlinear characteristic analysis on the PD signals (포켈스 소자를 이용한 PD 신호의 검출 및 비선형적 해석에 관한 연구)

  • Lim, Y.S.;Kang, W.J.;Chang, Y.M.;Koo, J.Y.
    • Proceedings of the KIEE Conference
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    • 2000.07c
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    • pp.1850-1852
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    • 2000
  • In this paper, new Partial Discharge (PD) detection technique using Pockels cell was proposed and considerable apparent chaotic characteristics were discussed. For this purpose, PD was generated from needle-plane electrode in air and detected by optical measuring system using Pockels cell, based on Mach-Zehnder interferometer, consisting of He-Ne laser, single mode optical fiber, 50/50 beam splitter and photo detector. A qualitative analysis was carried out by drawing Return map for the normalized time series of the detected PD signals. The results are as follows:(a) Fixed points, between 0.7 and 1.0, are appeared clearly in the right upper area of the return map as the increase in the number of obtained data.(b) Considerable periodicity have been remarked even though exact period and length can not be determined.(c) The self-similarity can be also observed inasmuch as the late paths do not follow the previous ones. Accordingly, exact quantitative analysis such as embedding dimension, fractal dimension, and Lyapunov exponents should be carried out for deducing the quantitative properties regarding PD phenomena.

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System model reduction by weighted component cost analysis

  • Kim, Jae-Hoon;Skelton, Robert-E.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.524-529
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    • 1993
  • Component Cost Analysis considers any given system driven by a white noise process as an interconnection of different components, and assigns a metric called "component cost" to each component. These component costs measure the contribution of each component to a predefined quadratic cost function. One possible use of component costs is for model reduction by deleting those components that have the smallest component cost. The theory of Component Cost Analysis is extended to include finite-bandwidth colored noises. The results also apply when actuators have dynamics of their own. When the dynamics of this input are added to the plant, which is to be reduced by CCA, the algorithm for model reduction process will be called Weighted Component Cost Analysis (WCCA). Closed-form analytical expressions of component costs for continuous time case, are also derived for a mechanical system described by its modal data. This is very useful to compute the modal costs of very high order systems beyond Lyapunov solvable dimension. A numerical example for NASA's MINIMAST system is presented.presented.

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Artifacts characteristic analysis of EEG (EEG의 잡파 특성 분석)

  • 양은주;조한범;김응수
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.05a
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    • pp.87-90
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    • 2002
  • 뇌파(Electroencephalogram, EEG)는 뇌 신경세포가 정보를 처리하는 과정에서 발생하는 전기적인 신호를 두피 표면에서 측정한 것이다. 이러한 뇌파는 비침습적인 방법으로 전기적인 신호를 측정하며 측정시 여러 잡파(artifact)가 섞이기 쉽다. 이러한 잡파는 뇌의 정보처리과정에 대한 유용한 정보를 담고 있는 뇌파를 분석하는데 방해가 되므로 이를 제거하기 위한 노력이 계속되어 왔다. 그러나 본 연구에서는 보다 적극적인 방향으로 잡파가 섞인 뇌파의 특성을 분석하여 이를 통해 제어 시스템 등과 같은 시스템에 적용할 수 있는 가능성을 알아보았다. 대표적인 잡파인 eye_blinking, eye_rolling, muscle 등이 각각 포함된 뇌파에 대해서 선형 및 비선형 분석을 실시함으로써 유의미한 특성 차이를 나타내었다.

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Nonlinear and Independent Component Analysis of Eye Movements EEG (안구운동 EEG의 비선형 및 독립성분 분석)

  • 김응수;신동선
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.189-192
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    • 2001
  • 뇌 기능의 연구수단으로써 널리 사용되고 있는 뇌파(Electroencephalogram)는 측정시에 노이즈(noise)나 잡파(Artifacts)가 섞여서 측정되기 쉽다. 이러한 노이즈나 잡파들을 제거하기 위하여 미지의 혼합된 신호들을 분리하는데 적용되고 있는 통계적인 처리 방식인 독립성분분석(ICA) 알고리즘을 뇌파에 적용하여 그 결과를 알아보았다. 본 연구에서는 정상인의 안구운동(Eye Movement)상태의 뇌파 신호에 대해서 독립성분분석을 적용하여 안구운동과 관련된 잡파가 포함된 원래의 뇌파신호(Original EEG Signal)와 제거한 다음의 뇌파신호(Corrected EEG Signal)에 대하여 비선형 분석법을 사용하여 두 신호의 유의한 차이점을 밝히고, 분리된 독립 신호들의 해부학적 발생위치 및 분포를 추정하였다.

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Nonlinear Time Series Analysis Tool and its Application to EEG

  • Kim, Eung-Soo;Park, Kyung-Gyu
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.104-112
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    • 2001
  • Simply, Nonlinear dynamics theory means the complicated and noise-like phenomena originated form nonlinearity involved in deterministic dynamical system. An almost all the natural signals have nonlinear property. However, there exist few analysis software tool or package for a research and development of applications. We develop nonlinear time series analysis simulator is to provide a common and useful tool for this purpose and to promote research and development of nonlinear dynamics theory. This simulator is consists of the following four modules such as generation module, preprocessing module, analysis module and ICA module. In this paper, we applied to Electroencephalograph (EEG), as it turned out, our simulator is able to analyze nonlinear time series. Besides, we could get the useful results using the various parameters. These results are used to diagnostic the brain diseases.

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Comparison of the nonlinear dynamics of EEG signals (EEG 신호의 비선형 동역학의 비교)

  • 신동선;조한범;김응수
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.179-182
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    • 2001
  • 인체 활동에 따라 우리 몸에는 다양한 전기적 생체신호가 발생하며 특히 뇌의 활동에 따라 발생되는 뇌파(EEG)는 비침습적 방법으로 측정될 수 있는 장점 때문에 뇌기능 연구 및 임상 등에서 널리 사용되어지고 있다. 또한 임상에서는 주로 뇌 신경계 질환환자의 병인 규명 및 기전 연구를 위하여 뇌파가 사용되어지고 있다. 최근에는 컴퓨터 발달에 따라 카오스, 비선형 이론 등의 다양한 방법으로 복잡한 시계열 신호인 뇌파를 분석하는 기법들이 개발되어 뇌파의 특징점을 찾아 임상에 활용하거나 뇌기능 연구에 적용하려는 연구가 진행되고 있다. 본 논문에서는 잡화(artifact)가 섞여 있는 뇌파신호 및 artifact가 제거된 다음 재구성된 뇌파신호(reconstructed EEG signal), 그리고 독립성분으로 분리된 각각의 신호에 대하여 특징점을 찾기 위하여 비선형 및 선형 분석을 실시하여 유의한 차이점을 밝혔다.

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A Study on the Development of Integrated Chaos Analysis System for EEG (뇌파신호의 카오스 특징 추출을 위한 통합 시스템의 개발)

  • Woo, Yong-Ho;Kim, Hyun-Sool;Kim, Taek-Soo;Choi, Yoon-Ho;Park, Sang-Hui
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.962-964
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    • 1995
  • In this paper, an integrated chaos analysis system for EEG (ICASE) is designed for the analysis of brain functions based on the chaos theory. Nonlinear dynamic characteristics of EEG such as 3-D attractor, Poincare section, correlation dimension, Lyapunov exponents and power spectrum are extracted by this system. The results show that chaotic attractors which indicate the presence of deterministic, dynamics of complex nature could be identified from a routine EEG recording for normal and pathological activity. This proves that the chaotic analysis of EEG may be an appropriate tool in the classification of brain activity and thus a possible diagnostic tool.

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The Immediate Effect of Electroacupuncture at the B62(Shinmaek) K6(Chohae) on the EEG of Vascular Dementia (신맥 조해의 전침자극이 치매환자의 뇌파에 미치는 영향)

  • Park, Woo-Soon;Lee, Tae-Young;Kim, Soo-Yong;Lee, Kwang-Gyu;Yuk, Sang-Won;Lee, Chang-Hyun;Lee, Sang-Ryong
    • Journal of Acupuncture Research
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    • v.18 no.2
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    • pp.67-78
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    • 2001
  • The aim of this study was to examine the effects of low frequency electroacupuncture(EA) at the $B_{62}$ (Shinmaek) $K_6$(Chohae) on vascular dementia in humans using nonlinear dynamics. Electroencephalogram(EEG) is a multi-scaled signal consisting of several components of time series with different dominant frequency ranges and different origins. Nonlinear measures of the EEG like the correlation dimension ($D_2$) and the first positive Lyapunov exponent ($L_1$) reflect the complexity of the EEG. In this study, $D_2$ was used as a measure of complexity. Sixteen channel EEG study was carried out in six subjects (5 females and 1 males; $age=83.83{\pm}7.19years$). We found that the baseline $D_2$ values of the EEG at F4 and F8 channels (P<0.01) were lowered than during the acupuncture treatment, indicating decreased complexity of the EEG. However, the comparison with that before and after the treatment shows no significant differences in all channels.

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Prediction of Wind Power by Chaos and BP Artificial Neural Networks Approach Based on Genetic Algorithm

  • Huang, Dai-Zheng;Gong, Ren-Xi;Gong, Shu
    • Journal of Electrical Engineering and Technology
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    • v.10 no.1
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    • pp.41-46
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    • 2015
  • It is very important to make accurate forecast of wind power because of its indispensable requirement for power system stable operation. The research is to predict wind power by chaos and BP artificial neural networks (CBPANNs) method based on genetic algorithm, and to evaluate feasibility of the method of predicting wind power. A description of the method is performed. Firstly, a calculation of the largest Lyapunov exponent of the time series of wind power and a judgment of whether wind power has chaotic behavior are made. Secondly, phase space of the time series is reconstructed. Finally, the prediction model is constructed based on the best embedding dimension and best delay time to approximate the uncertain function by which the wind power is forecasted. And then an optimization of the weights and thresholds of the model is conducted by genetic algorithm (GA). And a simulation of the method and an evaluation of its effectiveness are performed. The results show that the proposed method has more accuracy than that of BP artificial neural networks (BP-ANNs).

The characteristic analysis of EEG artifacts (EEG 잡파 특성 분석)

  • Yang, Eun-Joo;Shin, Dong-Sun;Kim, Eung-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.4
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    • pp.366-372
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    • 2002
  • EEG is the electrical signal, which is occurred during information processing in the brain. These EEG signal are measured by non-invasive method. EEG has many useful information for brain activity, but artifacts which are included in EEG prevents EEG analysis, so many efforts are devoted to remove these artifacts in EEG. However, this study is going to analysis the feature of the EEG mixed with artifacts in forward-looking way, by using this way, we have found the possibility that is actually applicable to system such as control system. We have made feature difference after the linear as well as nonlinear analysis regarding EEG including typical artifacts, eye-blinking, eye rolling, muscle, and so forth.