• Title/Summary/Keyword: $Theta^*$

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The Feacture Extraction of Background EEG in the Time Domain by LS Prony Method. (LS Prony에 의한 시간영역에서의 배경뇌파 특징추출)

  • Ju, Dae-Seong;Hwang, Su-Yong;Choe, Gap-Seok
    • Journal of Biomedical Engineering Research
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    • v.10 no.2
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    • pp.131-138
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    • 1989
  • In this paper the feature of background EEG is extracted by LS Prony Method for the analysis of background EEG in the time domain. Autocorrelation leg estimates are not required with the LS Prony method. The Prony method is required any the solution of two serfs of simultaneous linear equation and a polynominal rooting. That the optimal order of this model is the 6-th order is determined by using Akaike' s Information Criterial test. From the experimential results the alpha band amplitude is the largest among alpha band beta band theta band delta band and beta band amplitude is larger than that of the delta band and theta band. The sustained time for the alph a band, the beta band, the delta band and the theta band is 2, 3461 (sec), 0.6490(sec), 0.3120(sec), 0.7046(sec) respectively. Consequenty the alpha band is maintained in the whole subjects, the beta band, the delta band, the theta band are existed intermittently in each subjects.

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ON THE MODULAR FUNCTION $j_4$ OF LEVEL 4

  • Kim, Chang-Heon;Koo, Ja-Kyung
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.903-931
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    • 1998
  • Since the modular curves X(N) = $\Gamma$(N)\(equation omitted)* (N =1,2,3) have genus 0, we have field isomorphisms K(X(l))(equation omitted)C(J), K(X(2))(equation omitted)(λ) and K(X(3))(equation omitted)( $j_3$) where J, λ are the classical modular functions of level 1 and 2, and $j_3$ can be represented as the quotient of reduced Eisenstein series. When N = 4, we see from the genus formula that the curve X(4) is of genus 0 too. Thus the field K(X(4)) is a rational function field over C. We find such a field generator $j_4$(z) = x(z)/y(z) (x(z) = $\theta$$_3$((equation omitted)), y(z) = $\theta$$_4$((equation omitted)) Jacobi theta functions). We also investigate the structures of the spaces $M_{k}$($\Gamma$(4)), $S_{k}$($\Gamma$(4)), M(equation omitted)((equation omitted)(4)) and S(equation omitted)((equation omitted)(4)) in terms of x(z) and y(z). As its application, we apply the above results to quadratic forms.rms.

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Comparative Analysis of Finitc Difference Methods for the St, Venant Equation (St. Venant식에 관한 유한 차분법의 비교 분석)

  • 이상호;이길성
    • Water for future
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    • v.21 no.2
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    • pp.173-182
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    • 1988
  • Characteristics of finite difference schemes for St. Venant equation were compared with two input cases. One is the monoclinal wave which has large friction slope without discontinuity and the other is the shock wave with discontinuity. For monoclinal wave, Keller Box scheme is the best in terms of accuracy, efficiency and stability when two parameters were selected with a rele : $0.5{\leq}{\theta}{\leq}1.0$, ${\theta}+{\psi}$=1, But for shock wave only the Preissmann type of parameter ${\psi}$(=0.5) showed stable results. Numerical experiments of monoclinal wave showed that Lax-Wendroff and Richtmyer schemes were more stable than leap Frog and more accurate than Lax-Fredrich scheme. For shock wave Lax-Fredrich showed larger numerical dissipation than other explicit schemes and Leap Frog produced slower mass transport.

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Any-angle Path Planning Algorithm considering Angular Constraint for Marine Robot (해양 로봇의 회전 반경을 고려한 경로 계획 알고리즘)

  • Kim, Han-Guen;Myung, Hyun;Choi, Hyun-Taek
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.365-370
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    • 2012
  • Most path planning algorithms for a marine robot in the ocean environment have been developed without considering the robot's heading angle. As a result, the robot has a difficulty in following the path correctly. In this paper, we propose a limit-cycle circle set that applies to the $Theta^*$ algorithm. The minimum turning radius of a marine robot is calculated using a limit-cycle circle set, and circles of this radius is used to generate a configuration space of an occupancy grid map. After applying $Theta^*$ to this configuration space, the limit-cycle circle set is also applied to the start and end nodes to find the appropriate path with specified heading angles. The benefit of this algorithm is its fast computation time compared to other 3-D ($x,y,{\theta}$) path planning algorithms, along with the fact that it can be applied to the 3-D kinematic state of the robot. We simulate the proposed algorithm and compare it with 3-D $A^*$ and 3-D $A^*$ with post smoothing algorithms.

Optimal Design and Control of xy${\theta}$ Fine Stage in Lithography System (리소그라피 장비에서 xy${\theta}$미세구동기의 최적 설계 및 제어)

  • 김동민;김기현;이성규;권대갑
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.12
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    • pp.163-170
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    • 2002
  • The quality of a precision product, in general, relies on the accuracy and precision of its manufacturing and inspection process. In many cases, the level of precision in the manufacturing and inspection system is also dependent on the positioning capability of tool with respect to the work piece in the process. Recently the positioning accuracy level has reached to the level of submicron and long range of motion is required. For example, for 1 GDARM lithography, 20nm accuracy and 300mm stroke needs. This paper refers to the lithography stage especially to fine stage. In this study, for long stroke and high accuracy, the dual servo system is proposed. For the coarse actuator, LDM (Linear DC Motor) is used and for fine one VCM is used. In this study, we propose the new structure of VCM for the fine actuator. It is 3 axis precision positioning stage for an aligner system. After we perform the optimal design of the stage to obtain the maximum force, which is related to the acceleration of the stage to accomplish throughput of product. And we controlled this fine stage with TDC. So we obtained 50nm resolution. So later more works will be done to obtain better accuracy.

Finding the true length of a line and an ellipse from optical Hough transform results (광학적 Hough변환 결과로부터 직선과 타원의 실제 길이 추출)

  • Park, Sang-Guk;Kim, Seong-Yong;Kim, Su-Jung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.3
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    • pp.39-47
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    • 2000
  • In this paper, we propose a new method of finding the true length of the line and long axis of the ellipse at the $\theta$=$\theta$o+ 90$^{\circ}$ and short axis of the ellipse at the $\theta$ = $\theta$o from the Hough transform (HT) results. Through the simulations, we showed that the true length of the line and ellipse could be obtained with 98 % accuracy by using the distance from the maximum envelope to the minimum envelope. To compare the simulation results with the experimental results, we performed optical experiments by using a HT CGH filter. Through the experiments, we showed that our results were very similar to those of the simulation.

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An Ultra Wideband Printed Monopole Antenna Using Modified Ground Plane (변형된 접지면을 이용한 초광대역 프린티드 모노폴 안테나)

  • Kim Myoung-Bum;Jung Jong-Ho;Park Ikmo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.3 s.94
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    • pp.260-269
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    • 2005
  • In this paper, we propose a microstrip line fed printed monopole antenna which has an ultra-wideband characteristic. Proposed antenna can improve the bandwidth characteristic with the taper structure formed by modified ground plane and radiating element. Measured impedance bandwidth ratio of the antenna is more than 30:1; from the lower frequency of 0.89 GHz to the upper frequency of more than 30 GHz for VSRW$\leq$2. The antenna has conical radiation pattern that has low radiation gain to $\theta$=0$^{\circ}$ direction and higher radiation gains as $\theta$ increases.

Performance Evaluation of Plate Heat Exchanger with Chevron Angle Variations (쉐브론 각도변화에 따른 판형 고온 용액열교환기의 성능평가)

  • Kwon, Oh-Kyung;Cha, Dong-An;Yun, Jae-Ho;Kim, Hyo-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.7
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    • pp.520-526
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    • 2009
  • The objectives of this paper are to measure the heat transfer and pressure drop of the plate heat exchangers for absorption system applications. Three types of plate heat exchangers with different chevron angles are tested in the present experiment. Heat transfer and pressure drop performance of plate heat exchangers are measured in various operating conditions, and compared each other. The results show that the heat transfer rate of high theta ($120^{\circ}$) and mixed theta plate heat exchanger increases about 118% and 98% at the solution flow rate 350 kg/h compared to that of low theta ($60^{\circ}$), respectively. The effectiveness of high theta was evaluated about $0.53{\sim}0.85$ in this experimental range. The experimental correlations of the Nu and f were developed with error bands of ${\pm}7%$ and ${\pm}12%$.

Texture of Al/Ti thin films deposited on low dielectric polymer substrates

  • Yoo, Se-Yoon;Kim, Young-Ho
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2000.04a
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    • pp.103-108
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    • 2000
  • The texture of Al/Ti thin films deposited on low-dielectric polymer substrates has been investigated. Fifty-nm-thick Ti films and 500-nm-thick Al-1%Si-0.5%Cu (wt%) films were deposited sequentially onto low-k polymers and SiO$_2$ by using a DC magnetron sputtering system. The texture of Al thin film was determined using X-ray diffraction (XRD) theta-2theta ($\theta$-2$\theta$) and rocking curve and the microstructure of Al/Ti films on low-k polymer and SiO$_2$ substrates was characterized by Transmission electron microscopy (TEM). hall thin films deposited on SiO$_2$ had stronger texture than those deposited on low-k polymer. The texture of Al thin films strongly depended on that of Ti films. Cross-sectional TEM resealed that Brains of Ti films on SiO$_2$ substrates had grown perpendicular to the substrate, while the grains of Ti films on SiLK substrates were farmed randomly. The lower degree of 111 texture of Al thin films on low-k polymer was due to Ti underlayer.

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A Model of Pupil's Change with Luminance (Luminance에 의한 Pupil의 변화에 대한 모델)

  • Kim, Yong-Geun
    • Journal of Korean Ophthalmic Optics Society
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    • v.1 no.2
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    • pp.7-11
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    • 1996
  • The size of pupil with pupillary light reflex is determined by the amount of a luminance. and it is dependent with the distribution function of the retinal illuminance which is the amount of transmittance for the external light due to the size of pupil, and the detector of cone and rod due to the amount of the luminance. The change of the pupil size with the luminance can be expressed with the mathematical model $$y(x)={\alpha}+{\beta}\frac{1}{1+{e}{x}{p}(x-x_0)/{\theta}}$$ where ${\alpha}$ is the size of the pupil diameter in a maximum value of the luminance, ${\beta}$ is the deviation of the pupil's diameter between maximum and minimum, ${\theta}$ is the parameter showed the degree of a sensitivity. Comparing with the experimental value of P.Moon et al, We known that the equation of the model is very compatible.

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