• 제목/요약/키워드: Approximations

검색결과 687건 처리시간 0.021초

Asymptotic Inference on the Odds Ratio via Saddlepoint Method (안부점근사를 이용한 승산비에 대한 점근적 추론)

  • Na, Jong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • 제10권1호
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    • pp.29-36
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    • 1999
  • We propose a new method of asymptotic inference on the odds ratio (or cross-product ratio) in $2{\times}2$ contingency table. Saddlepoint approximations to the conditional tail probability we used in this procedure. We assess the accuracy of the suggested method by comparing with the exact one. To obtain the exact values, we need very complicated calculations containing the cumulative probabilities of non-central hypergeometric distribution. The suggested method in this paper is very accurate even for small or moderate sample sizes as well as simple and easy to use. Example with a real data is also considered.

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Multistage Inverters Control Using Surface Hysteresis Comparators

  • Menshawi, Menshawi K.;Mekhilef, Saad
    • Journal of Power Electronics
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    • 제13권1호
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    • pp.59-69
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    • 2013
  • An alternative technique to control multilevel inverters with vector approximations has been presented. The innovative control method utilizes specially designed two-dimensional hysteresis comparators to simplify the implementation and improve the resultant waveform. The multistage inverter designed with maximum number of levels is operated in such a way to approximate the reference voltage vector by exploiting the large number of multilevel inverter vectors. A three-stage inverter with the main high voltage stage made of three phase, six-switch and singly-fed inverter is considered for application to the proposed design. The proposed control concept is to maintain a higher voltage stage state as long as it can lead to a target vector. High and medium voltage stages controllers are based on surface hysteresis comparators to hold the switching state or to perform the necessary change to achieve its reference voltage with minimal switching losses. The low voltage stage controller is designed to approximate the target reference voltage to the nearest inverter vector using the nearest integer rounding and adjustment comparators. Model simulation and prototype test results show that the proposed control technique clearly outperforms the previous control methods.

Electromagnetic Wave Scattering from a Perfectly Conducting Random Rough Surface with Considering the Edge Effect (가장자리 효과가 고려된 임의의 기복을 가진 완전도체 표면에서의 전자파 산란)

  • 최동묵;김채영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제27권3B호
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    • pp.244-250
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    • 2002
  • In this paper, rile scattered field from a random rough perfectly conducting surface by method of moment(MoM) was computed. A one-dimensional random rough surface predetermined statistical properties was generated by a digital computer. The number of surface realization for the computed field and the width of surface realization are set to be 100, 80 λ, respectively. To eliminate the scattering from the ends of the surface, the Gaussian taper function is used. Using Monte Carlo technique, we calculated hi-static scattering and back scattering coefficient. In order to verify the result by MoM we compare the MoM results with those of Kirchhoff approximations, which show good agreement between them.

A Novel Spectral Analysis of Ultrashort Pulse Transmission Using the Pulse-Ordering Concept

  • Jae-hong;Hi-chang Chung;Jin-sung Jun;Yong-sun Oh
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제25권7A호
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    • pp.986-993
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    • 2000
  • In this paper, we analyze transmission characteristics of ultrashort laser pulses using the properties of high-order pulses which are systematically obtained following their orders. The high-order pulses are easily derived from a modified PRS system model. But we make clear they are very useful to cover wider area and to show more accurate transmission characteristics of ultrashort pulses than Gaussian or Sech pulse approximations used conventionally. These are based on the fact that the spectra and bandwidths of the high-order pulses are geautifully related to their orders. First modifying the generalized PRS system model, we propose a new model for deriving any type of high-order pulse. And we offer a novel analysis method of ultrashort pulse transmission varying the order of the pulse from n=1 to n=100, we obtain spectra of ultrashort pulses with 1(ps)∼150(fs) FWHM's, which are widely used in optical pulse communications. One-step further, we derive PSD's of their pulse-tr ins when they are applied to Unipolar signaling scheme. These PSD's are decided in the range of possible pulse intervals. All of these results are not only coincided with some conventional experimental works but will be applied to any pioneering ultrashort pulse in the future.

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A study on the driver and controller design of the biped robot (이족보행로보트의 구동부 및 제어부의 설계에 관한 연구)

  • Shim, In-Sup;Kim, Ju-Han;Kim, Dong-Jun;Kim, Kab-Il
    • Proceedings of the KIEE Conference
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    • 대한전기학회 1995년도 하계학술대회 논문집 B
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    • pp.871-873
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    • 1995
  • The purpose of this paper is to design and construct the compact type joint driver and controller of the biped robot. This biped robot will be designed to be suitable for the practical usages and applications in the work environment, which is not plat floor, like a stairs by taking the stand-alone style that equipped all the parts except power sources. Generally, highly nonlinear motion dynamics of the biped robot is realized to linear approximations by installing a high-ratio speed reducer at each joint and dividing motions into a several piecewise linear motions, which is realized by the digital controller design techniques. This biped robot has symmetrical structure to get the stable walking ability and also the hierachical structure to control each joint as well. That is, all of the joint controllers are connected to the main controller in the composition of overall controllers. The driver and controller of each joint uses PI controller that compensate the velocity and position errors by the data of the encoder. And the signal characteristics of each joint controller forms a trapezoid speed profile which is predefined by the values of direction, maximum velocity and position.

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Finite Element Analysis of Beam-and Arch-Like Structures using Higher-Order Theory (고차이론을 이용한 보 및 아치형 구조물의 유한요소 해석)

  • 조진래
    • Computational Structural Engineering
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    • 제10권1호
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    • pp.185-191
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    • 1997
  • Beam - and arch-like structures are two-dimensional bodies characterized by the fact of small thickness compared to the length of structures. Owing to this geometric feature, linear displacement approximations through the thickness such as Kirchhoff and Reissner-Mindlin theories which are more accessible one dimensional problems have been used. However, for accurate analysis of the behavior in the regions where the state of stresses is complex, two-dimensional linear elasicity or relatively high order of thickness polynomials is required. This paper analyses accuracy according to the order of thickness polynomials and introduces a technique for model combination for which several different polynomial orders are mixed in a single structure.

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Application of the Unstructured Finite Element to Longitudinal Vibration Analysis (종방향 진동해석에 비구조적 유한요소 적용)

  • Kim Chi-Kyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • 제19권1호
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    • pp.39-46
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    • 2006
  • This paper analyzes the continuous Galerkin method for the space-time discretization of wave equation. The method of space-time finite elements enables the simple solution than the usual finite element analysis with discretization in space only. We present a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period called a time slab. The weighted residual process is used to formulate a finite element method for a space-time domain. Instability is caused by a too large time step in successive time steps. A stability problem is described and some investigations for chosen types of rectangular space-time finite elements are carried out. Some numerical examples prove the efficiency of the described method under determined limitations.

Characteristics of the Finite Difference Approximations for the Convective Dispersion Model (대류분산 모형에 관한 유한차분근사의 특성)

  • Lee, Kil Seong;Kang, Ju Whan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제7권4호
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    • pp.147-157
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    • 1987
  • Five finite difference schemes (explicit, Bresler, implicit, upstream, and Chaudhari scheme) for the convective dispersion model are analyzed numerically to investigate their characteristics and applicabilities. Camparative study results show that the conditionally stable Chaudhari scheme has the smallest numerical dispersion and that the unconditionally stable Bresler scheme has the overshooting in regions of oscillation. Explicit scheme is the most accurate for a dispersion-dominated flow whereas Chaudhari scheme is for a convection-dominated flow. The computation time (CPU) is the shortest for the explicit or Chaudhari scheme with the same order of magnitude and is always the longest for the Bresler scheme.

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Gross Error Detection and Determination of Exterior Orientation Elements in Non-metric Photos (비측량용(非測量用) 사진(寫眞)에서의 과대오차(過大誤差) 검출(檢出) 및 외부표정요소(外部標定要素) 결정(決定))

  • Yeu, Bock Mo;Sohn, Duke Jae;Park, Hong Gi
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제7권4호
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    • pp.125-132
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    • 1987
  • The bundle adjustment used in photogrammetric data reduction is based on the collinearity condition. Photogrammetry has been used in many non-topographic applications. Due to the necessities of having fiducial marks and knowing initial approximations for interior and exterior orientation elements in bundle adjustment, it cannot be applied when non-metric cameras are used. Marzan and Karara develop the DLT(Direct Linear Transformation) program which directly transforms comparator coordinates into object space coordinates without approximate values. In this paper, several modifications of original DLT program have been made for accuracy improvement in close-range photogrammetry using non-metric cameras. In modified program, gross error detection method and computation of exterior orientation elements are incorporated, and more iterations are introdued.

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Concrete fragmentation modeling using coupled finite element - meshfree formulations

  • Wu, Youcai;Choi, Hyung-Jin;Crawford, John E.
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.173-195
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    • 2013
  • Meshfree methods are known to have the capability to overcome the strict regularization requirements and numerical instabilities that encumber the finite element method (FEM) in large deformation problems. They are also more naturally suited for problems involving material perforation and fragmentation. To take advantage of the high efficiency of FEM and high accuracy of meshfree methods, a coupled finite element (FE) and reproducing kernel (RK, one of the meshfree approximations) formulation is described in this paper. The coupling of FE and RK approximation is implemented in an evolutionary fashion, where the extent and location of the evolution is dependent on a triggering criteria provided by the material constitutive laws. To enhance computational efficiency, Gauss quadrature is applied to integrate both FE and RK domains so that no state variable transfer is required when mesh conversion is performed. To control the hourglassing that might occur with 1-point integrated hexahedral grids, viscous type hourglass control is implemented. Meanwhile, the FEM version of the K&C concrete (KCC) model was modified to make it applicable in both FE and RK formulations. Results using this code and the KCC model are shown for the modeling of concrete responses under quasi-static, blast and impact loadings. These analyses demonstrate that fragmentation phenomena of the sort commonly observed under blast and impact loadings of concrete structures was able to be realistically captured by the coupled formulation.