• Title/Summary/Keyword: 가우스법

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Evaluation of Inverse Fourier Integral Considering the Distances from the Source Point in 2D Resistivity Modeling (전기비저항탐사 2차원 모델링에서 송수신 간격을 고려한 푸리에 역변환)

  • Cho, In-Ky;Jeong, Da-Bhin
    • Geophysics and Geophysical Exploration
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    • v.21 no.1
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    • pp.1-7
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    • 2018
  • In the two-dimensional (2D) modeling of electrical method, the potential in the space domain is reconstructed with the calculated potentials in the wavenumber domain using inverse Fourier transform. The inverse Fourier integral is numerically evaluated using the transformed potential at different wavenumbers. In order to improve the precision of the integration, either the logarithmic or exponential approximation has been used depending on the size of wavenumber. Two numerical methods have been generally used to evaluate the integral; interval integration and Gaussian quadrature. However, both methods do not consider the distance from the current source. Thus the resulting potential in the space domain shows some error. Especially when the distance from the current source is very small or large, the error increases abruptly and the evaluated potential becomes extremely unstable. In this study, we developed a new method to calculate the integral accurately by introducing the distance from the current source to the rescaled Gauss abscissa and weight. The numerical tests for homogeneous half-space model show that the developed method can yield the error level lower than 0.4 percent over the various distances from the current source.

On the Modification of Gauss Integral Point of 6 Node Two Dimensional Isoparametric Element -Linear and Nonlinear Static and Dynamic Bending Analyses- (6절점 2차원 Isoparametric요소의 가우스적분점 수정에 관하여 -선형, 비선형의 정적 및 동적 굽힘해석-)

  • 김정운;정래훈;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3007-3019
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    • 1993
  • For the same configuration, the stiffness of 6-node two dimensional isoparametric is stiffer than that of 8-node two dimensional isoparametric element. This phenomenon may be called 'Relative Stiffness Stiffening Phenomenon.' In this paper, the relative stiffness stiffening phenomenon was studied, and could be corrected by modifying the position of Gauss integral points used in the numerical integration of the stiffness matrix. For the same deformation (bending) energy of 6-node and 8-node two dimensional isoparametric elements, Gauss integral points of 6-node element have to move closer, in comparison with those of 8-node element, in the case of numerical integration along the thickness direction.

Parallelized Matrix Operation for Fast Computations of Antenna Characteristics (안테나 특성 고속 계산을 위한 병렬화 행렬 연산)

  • Cho, Yong-Heui
    • Proceedings of the Korea Contents Association Conference
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    • 2015.05a
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    • pp.61-62
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    • 2015
  • 밀리미터파 대역에서 사용하는 대형 안테나 해석 속도를 개선하기 위한 병렬형 행렬 연산법을 제안한다. 기존의 가우스 소거법을 병렬화하기 위해 행렬 분해와 반복법을 이용한다. 또한, 반복법의 수렴성을 높이기 위해 이전 행렬해를 부분적으로 사용하여 분해 행렬을 구성하는 방식도 제시한다. 본 제안법은 OpenMP, MPI, CUDA 등의 병렬법과 함께 사용할 수 있다.

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A Study on Adjustment of Precision triangulation Network in Korea (우리나라 정밀삼각망조정에 관한 연구)

  • 안철호;유복모;최철순;유환희
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.2 no.2
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    • pp.1-13
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    • 1984
  • Projection has been used in order to indicate the horizontal position of triangulation stations which had been existed on the earth surface. In our country, the plane Rectangular coordinate of the triangulation station is computed by means of Gauss Double projection. But it proves to contain many errors according to the difference in Latitude and longitude. Therefore, in this study Transverse Mercator projection which is known to contain less error than Gauss Double projection in an applied region is introduced, and the results obtain by two these projections and the value today in our country are compared and analysed. when an another plane Rectangular Coordinate system is added to the present 3-plane Rectangular Coordinate system, there is an object inshowing the best position.

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Analysis of Subthreshold Swing for Doping Distribution Function of Asymmetric Double Gate MOSFET (도핑분포함수에 따른 비대칭 MOSFET의 문턱전압이하 스윙 분석)

  • Jung, Hakkee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.5
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    • pp.1143-1148
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    • 2014
  • This paper has analyzed the change of subthreshold swing for doping distribution function of asymmetric double gate(DG) MOSFET. The basic factors to determine the characteristics of DGMOSFET are dimensions of channel, i.e. channel length and channel thickness, and doping distribution function. The doping distributions are determined by ion implantation used for channel doping, and follow Gaussian distribution function. Gaussian function has been used as carrier distribution in solving the Poisson's equation. Since the Gaussian function is exactly not symmetric for top and bottome gates, the subthreshold swings are greatly changed for channel length and thickness, and the voltages of top and bottom gates for asymmetric double gate MOSFET. The deviation of subthreshold swings has been investigated for parameters of Gaussian distribution function such as projected range and standard projected deviation in this paper. As a result, we know the subthreshold swing is greatly changed for doping profiles and bias voltage.

A Linear System Approach to Serving Gaussian Traffic in Packet-Switching Networks (패킷 교환망에서 가우스 분포 트래픽을 서비스하는 선형 시스템 접근법)

  • Chong, Song;Shin, Min-Su;Chong, Hyun-Hee
    • Journal of KIISE:Information Networking
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    • v.29 no.5
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    • pp.553-561
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    • 2002
  • We present a novel service discipline, called linear service discipline, to serve multiple QoS queues sharing a resource and analyze its properties. The linear server makes the output traffic and the queueing dynamics of individual queues as a linear function of its input traffic. In particular, if input traffic is Gaussian, the distributions of queue length and output traffic are also Gaussian with their mean and variance being a function of input mean and input power spectrum (equivalently, autocorrelation function of input). Important QoS measures including buffer overflow probability and queueing delay distribution are also expressed as a function of input mean and input power spectrum. This study explores a new direction for network-wide traffic management based on linear system theories by letting us view the queueing process at each node as a linear filter.

Noise Removal Using Complex Wavelet and Bernoulli-Gaussian Model (복소수 웨이블릿과 베르누이-가우스 모델을 이용한 잡음 제거)

  • Eom Il-Kyu;Kim Yoo-Shin
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.43 no.5 s.311
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    • pp.52-61
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    • 2006
  • Orthogonal wavelet tansform which is generally used in image and signal processing applications has limited performance because of lack of shift invariance and low directional selectivity. To overcome these demerits complex wavelet transform has been proposed. In this paper, we present an efficient image denoising method using dual-tree complex wavelet transform and Bernoulli-Gauss prior model. In estimating hyper-parameters for Bernoulli-Gaussian model, we present two simple and non-iterative methods. We use hypothesis-testing technique in order to estimate the mixing parameter, Bernoulli random variable. Based on the estimated mixing parameter, variance for clean signal is obtained by using maximum generalized marginal likelihood (MGML) estimator. We simulate our denoising method using dual-tree complex wavelet and compare our algorithm to well blown denoising schemes. Experimental results show that the proposed method can generate good denoising results for high frequency image with low computational cost.

A Study on the Channel Capacity of Fading Channel (페이딩 통신로의 통신 용량에 관한 연구)

  • 고봉진;황인수;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.8
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    • pp.1136-1145
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    • 1993
  • The channel capacities of various lading channels are calculated and compared with that of Gaussian noise channel to find out the decrements of channel capacity according to each fading environment. As a result, it is confirmed that the channel capacities in Rician and m-distribution fading channels approach to that of Gaussian noise channel as direct-to-indirect power ratio in Rician fading channel and fading index m in m-distribution fading channel increases respectively. And the difference between two channel capacities of Gaussian noise channel and each fading channel which is dependent on carrier-to-noise power ratio (CNR) is found. Also the improvement of channel capacity of Rayleigh fading channel by introducing two-branch diversities is obtained. For diversity reception, predetection maximal-ratio and postdetection selective combining techniques are adopted. The results show that the improvement of channel capacity by predetection maximal-ratio combining diversity is superior to the postdetection selective combining diversitiy regardless of correlation coefficient between two diversity branches in Raylelgh fading channel. The best improvement is achieved when two branches are noncorrelative in both two diversify techniques and as correlation coefficient of two diversity branches is smaller, the improvement of channel capacity is greater.

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Stress Recovery Technique by Ordinary Kriging Interpolation in p-Adaptive Finite Element Method (적응적 p-Version 유한요소법에서 정규 크리깅에 의한 응력복구기법)

  • Woo, Kwang Sung;Jo, Jun Hyung;Lee, Dong Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.677-687
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    • 2006
  • Kriging interpolation is one of the generally used interpolation techniques in Geostatistics field. This technique includes the experimental and theoretical variograms and the formulation of kriging interpolation. In contrast to the conventional least square method for stress recovery, kriging interpolation is based on the weighted least square method to obtain the estimated exact solution from the stress data at the Gauss points. The weight factor is determined by variogram modeling for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. In addition to this, the p-level is increased non-uniformly or selectively through a posteriori error estimation based on SPR (superconvergent patch recovery) technique, proposed by Zienkiewicz and Zhu, by auto mesh p-refinement. The cut-out plate problem under tension has been tested to validate this approach. It also provides validity of kriging interpolation through comparing to existing least square method.