• Title/Summary/Keyword: nonlinear exponent

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Flexible Nonlinear Learning for Source Separation

  • Park, Seung-Jin
    • Journal of KIEE
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    • v.10 no.1
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    • pp.7-15
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    • 2000
  • Source separation is a statistical method, the goal of which is to separate the linear instantaneous mixtures of statistically independent sources without resorting to any prior knowledge. This paper addresses a source separation algorithm which is able to separate the mixtures of sub- and super-Gaussian sources. The nonlinear function in the proposed algorithm is derived from the generalized Gaussian distribution that is a set of distributions parameterized by a real positive number (Gaussian exponent). Based on the relationship between the kurtosis and the Gaussian exponent, we present a simple and efficient way of selecting proper nonlinear functions for source separation. Useful behavior of the proposed method is demonstrated by computer simulations.

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Investigation of Self-Excited Combustion Instabilities in Two Different Combustion Systems

  • Seo, Seonghyeon
    • Journal of Mechanical Science and Technology
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    • v.18 no.7
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    • pp.1246-1257
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    • 2004
  • The objective of this paper is to characterize dynamic pressure traces measured at self-excited combustion instabilities occurring in two combustion systems of different hardware. One system is a model lean premixed gas turbine combustor and the other a fullscale bipropellant liquid rocket thrust chamber. It is commonly observed in both systems that low frequency waves at around 300㎐ are first excited at the onset of combustion instabilities and after a short duration, the instability mode becomes coupled to the resonant acoustic modes of the combustion chamber, the first longitudinal mode for the lean premixed combustor and the first tangential mode for the rocket thrust chamber. Low frequency waves seem to get excited at first since flame shows the higher heat release response on the lower frequency perturbations with the smaller phase differences between heat release and pressure fluctuations. Nonlinear time series analysis of pressure traces reveals that even stable combustion might have chaotic behavior with the positive maximum Lyapunov exponent. Also, pressure fluctuations under combustion instabilities reach a limit cycle or quasi-periodic oscillations at the very similar run conditions, which manifest that a self-excited high frequency instability has strong nonlinear characteristics.

Effect of Si-oxides on the breakdown properties of ZnO varistor (Si-oxides가 ZnO varistor의 항복특성에 미치는 영향)

  • Kim, Jong-Moon;Jin, Hee-Chang;Mah, Jae-Pyung;Paek, Su-Hyon
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.556-560
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    • 1987
  • To enhance the breakdown properties of low voltage-oriented ZnO varistor, the samples were fabricated with the amounts of si-oxides and the sintering conditions. And then, to lower the breakdown voltage the $TiO_2$-added samples were fabricated. We investigated the nonlinear exponent, the nonlinear resistance and the V-I characteristics of samples. And we discussed with microstructures by use of SEM and the position of Si by EDS. Si-oxides, especially, largely enhanced the nonlinear exponent. In this case optimum sintering condition was $1200-1250^{\circ}C$-1hr and $TiO_2$ addition lowered the breakdown voltage.

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On the Standard Composition of ZnO Varistor having Higher Nonlinearity and the Effect of Additives (높은 비직선성을 갖는 ZnO 바리스터의 기본조성 결정과 첨가물에 의한 영향)

  • Chung, Ju-Hyuck;Jin, Hee-Chang;Mah, Jae-Pyung;Paek, Su-Hyon
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.565-568
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    • 1987
  • In order to determine the standard composition of ZnO varistor with higher nonlinearity, various contents of $MnO_2$, $Co_2O_3$ were added to ZnO-1.0m/o $Bi_2O_3$ system. Also, samples that contained small amount of Sb, Si-oxides in standard composition determined before were fabricated. As a result, the standard composition of higher nonlinearity-oriented ZnO varistor was shown as ZnO-1.0 m/o $Bi_2O_3$-1.0m/o $MnO_2$-1.0m/o $Co_2O_3$ and $Sb_2O_3$ largely enhanced nonlinear exponent and nonlinear resistance, hut SiO largely enhanced nonlinear exponent only.

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A Study of the Chaotic Analysis of Flow of Capillary Blood Vessel by glucose index (Rabbit의 당수치에 따른 모세혈관 혈류의 카오스적 분석에 대한 연구)

  • Choi, J.Y.;Cho, C.Y.;Kim, D.H.;Im, J.D.;Im, J.J.;Nam, S.H.
    • Proceedings of the KOSOMBE Conference
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    • v.1996 no.11
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    • pp.258-262
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    • 1996
  • The physiological systems have nonlinear complex phenomena. Expecially, the flow of capillary blood vessel has a nonlinear dynamic system. Thus, this study analyzes nonlinear characteristics of the flow of capillary blood vessel in physiological systems using chaotic tools(phase space reconstruction, correlation dimension, largest lyapunov exponent). Experimental data have been acquired from examining 10 rabbits. The results of chaotic analysis showed a decreasing largest lyapunov exponent and correlation dimension according to increasement glocose index. And we also know the chaotic behavior.

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Nonlinear Characterization of EEG Under the Internal and External Stimuli (내·외적인 자극을 받는 뇌파의 비선형 동력학적 특징)

  • Jung, Ki-Young;Kim, Jae-Moon;Yoo, Cheol-Seung;Yi, Sang-Hoon
    • Annals of Clinical Neurophysiology
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    • v.4 no.1
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    • pp.28-33
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    • 2002
  • Backgrounds and objective : EEG reflect dynamic changes of continuous neuronal activities by internal and external stimuli. The aim of this study is to quantify nonlinearly the local dynamic differences among EEG data corresponding to different states of brain. Methods : EEG was recorded from twelve healthy normal subjects(mean age, 29.7 years; 8 men and 4 women) using digital EEG machine. 18-channel EEG data were selected during eyes closed(EC), eyes open(EO), and mental arithmetic(MA) in each subject. Correlation dimension(D2) and largest Lyapunov exponent(LLE) were calculated from three states and average value was mapped 2 dimensionally and compared with each other. Results : The distribution of D2 was relatively symmetric and its value was higher in frontal than in parieto-occipital region during EC. These findings were reversed during EO. Bilateral centro-temporo-parietal region showed high D2 value in MA compared with those in EC, which was more prominent in left side. LLE was larger than zero in all state and showed significant differences among EC, EO and MA(p=0.000). Conclusion : These results suggest that nonlinear analysis of EEG can quantify dynamic state of brain.

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Spectral and Nonlinear Analysis of EEG in Various Age Groups (뇌파의 연령별 스펙트럼 및 비선형적 분석)

  • Joo, Eun-Yeon;Kim, Eung-Su;Park, Ki-Duck;Choi, Kyoung-Gyu
    • Annals of Clinical Neurophysiology
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    • v.3 no.1
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    • pp.31-36
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    • 2001
  • Background & Objectives : Fractal Dimension(FD) could be an index of correlation between variable parameters in non-linear chaotic signals. We tried to demonstrate that EEG wave is compatible with chaotic waves by measuring the Lyapunov exponent index and compared the difference of FD between variable age groups(teens, 30's, 50's) Methods : We estimated the Lyapunov exponent index and the FD from digital EEG data among five persons in each normal age groups by using the software which is programmed in our laboratory. Statistical analysis was done with SPSS win 8.0. The statistical differences of Lyapunov exponent index and FD between each electrodes and each age groups were done with ANOVA and paired sample t-test. Result : The Lyapunov exponent indexes were larger than 1 in each electrode and age group. There is no statistical difference in FD between each electrodes and each age groups. Except in 30th age group. In this group the FD of right hemisphere is larger than that of left hemisphere. Conclusion : The result of Lyapunov exponent index means EEG wave is a non-linear chaotic signal. And the results of FD suggest that chaotic parameters of right hemisphere is larger than those of left hemisphere at rest at least in younger people. We think that chaotic parameters can be a useful tool in investigating the variable diseases or brain states.

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Electrical Characteristics of ZnO-Pr6O11-CoO-Cr2O3-Y2O3 -Based Varistor Ceramics (ZnO-Pr6O11-CoO-Cr2O3-Y2O3계 바리스터 세라믹스의 전기적 특성)

  • 남춘우;김향숙
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.8
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    • pp.664-670
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    • 2002
  • The electrical characteristics of $ZnO-Pr_6O_{11}-CoO-Cr_2O_3-Y_2O_3$(ZPCCY)-based varistors were investigated with $Y_2O_3$ content in the range of 0.0~4.0 mol%. As $Y_2O_3$ content is increased, the average grain size was markedly decreased in the range of 18.6~3.2 $\mu m$ and the density of the ceramic was decreased in the range of 5.53 ~3.74 $g/\textrm{cm}^3$. While, the varistor voltage was increased in the range of 39.4~748.1 V/mm and the nonlinear exponent was in the range of 4.5~51.2 with increasing $Y_2O_3$ content. The addition of $Y_2O_3$ greatly enhanced the nonlinear properties of varistors, compared with the varistor without $Y_2O_3$. In particular, the varistors with $Y_2O_3$content of 0.5 mol% exhibited the highest nonlinearity, in which the nonlinear exponent is 51.2 and the leakage current is 1.3 $\mu A$. The donor concentration and the density of interface states were decreased in the range of (4.19~0.14) $\times$10$^{18}$ /㎤ and (5.38~1.15)${\times}10^{18}/\textrm{cm}^3$, respectively, with increasing $Y_2O_3$ content.

Microstructure and Varistor Characteristics of ZnO-Pr6O11-CoO-Cr2O3-Dy2O3-Based Varistors (ZnO-Pr6O11-CoO-Cr2O3-Dy2O3계 세라믹스의 미세구조 및 바리스터 특성)

  • 남춘우;박종아;김명준
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.10
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    • pp.897-901
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    • 2003
  • The microstructure and varistor characteristics of ZnO-Pr$_{6}$O$_{11}$-CoO-Cr$_2$O$_3$-Dy$_2$O$_3$(ZPCCD)-based ceramics were investigated with Dy$_2$O$_3$ content in the range of 0.0∼2.0 mol%. As Dy$_2$O$_3$ content is increased, the average grain size was decreased in the range of 18.6∼4.7 $\mu$m and the density was decreased in the range of 5.53∼4.34 g/cm$^3$. While, the varistor voltage was increased in the range of 39.4∼436.6 V/mm and the nonlinear exponent was in the range of 4.5-66.6 with increasing Dy$_2$O$_3$ content. The addition of Dy$_2$O$_3$ highly enhanced the nonlinear properties of varistors, compared with the ceramics without Dy$_2$O$_3$ Particularly, the ceramics with Dy$_2$O$_3$ content of 0.5 mol% exhibited the highest nonlinearity, in which the nonlinear exponent is 66.6 and the leakage current is 1.2 $\mu$A.A.A.

Statistical analysis on the fluence factor of surveillance test data of Korean nuclear power plants

  • Lee, Gyeong-Geun;Kim, Min-Chul;Yoon, Ji-Hyun;Lee, Bong-Sang;Lim, Sangyeob;Kwon, Junhyun
    • Nuclear Engineering and Technology
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    • v.49 no.4
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    • pp.760-768
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    • 2017
  • The transition temperature shift (TTS) of the reactor pressure vessel materials is an important factor that determines the lifetime of a nuclear power plant. The prediction of the TTS at the end of a plant's lifespan is calculated based on the equation of Regulatory Guide 1.99 revision 2 (RG1.99/2) from the US. The fluence factor in the equation was expressed as a power function, and the exponent value was determined by the early surveillance data in the US. Recently, an advanced approach to estimate the TTS was proposed in various countries for nuclear power plants, and Korea is considering the development of a new TTS model. In this study, the TTS trend of the Korean surveillance test results was analyzed using a nonlinear regression model and a mixed-effect model based on the power function. The nonlinear regression model yielded a similar exponent as the power function in the fluence compared with RG1.99/2. The mixed-effect model had a higher value of the exponent and showed superior goodness of fit compared with the nonlinear regression model. Compared with RG1.99/2 and RG1.99/3, the mixed-effect model provided a more accurate prediction of the TTS.