• Title/Summary/Keyword: 최소제곱

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Algorithms for wavefront reconstruction of Shack-Hartmann wavefront sensor (Shack-Hartmann 센서의 파면 재구성 알고리즘)

  • 서영석;백성훈;박승규;김철중
    • Proceedings of the Optical Society of Korea Conference
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    • 2000.08a
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    • pp.44-45
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    • 2000
  • Shack-Hartmann 센서로부터 얻어진 기울기 정보로부터 파면을 재구성하고 분석하기 위해서는 각각의 점 영상에 대한 위상 구배로부터 파면의 위상을 재구성할 수 있는 수학적인 알고리즘이 필요하다. 파면의 위상을 재구성하기 위한 알고리즘은 Hudgin, Fried, Southwell이 제시한 세 가지 방법에 대한 연구결과가 가장 많이 알려져 있다. 본 연구에서는 CCD 카메라로부터 전송된 디지털 영상에서 각각의 점 영상의 중심점을 추출하여 점 영상의 이동정보로부터 수평과 수직방향의 기울기를 계산하고, 이를 바탕으로 최소제곱법(least-square fitting)을 사용하여 위상을 재구성하였다. 파면의 기울기 정보로부터 파면을 재구성하기 위해 기존의 이론을 바탕으로 행렬계산법을 사용하여 각각의 경우를 일반화하였고, 위상의 복구와 파면의 보정에 따른 해석적인 오차의 관계를 논의하였다. (중략)

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A Study on the Gross Error Elimination of Image Coordinates (상좌표에 포함된 과대오차의 제거방법에 관한 연구)

  • 박홍기;유복모
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.4 no.2
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    • pp.88-93
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    • 1986
  • A gross error of the observation, in least squares abjustment from the linear model, have an effect on the residuals which are correlated. Therefore the testing procedure by Baarda, which is based on the standardized residual, is modified and varied. In is paper, presented methods which have been suggested for multiple gross error elimination are analized, and applied to the gross error elimination of image coordinates.

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Optimum Approximation of Linear Time - Invariant Systems by Low - Order Models

  • 김상봉
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.19 no.1
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    • pp.71-78
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    • 1983
  • A method is given for obtaining low-order models for a linear time-invariant system of high-order by minimizing a functional of the reduction error between the output response of the original system and the low-order model. The method is based on the Astrom's algorithm for the evaluation of complex integrals and the conjugate gradient method of Fletcher-Reeves. An example illustrating the application of this method is given for approximation of a 4-th order system to be used in the load frequency control of generator systems.

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해석적 사진측정에 있어서 경중률을 고려한 표정해석에 관한 연구

  • 안철호;유복모;염재홍
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.1 no.2
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    • pp.16-22
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    • 1983
  • The method of least squares is an adequate method of adjustment in various fields of engineering where redundant observations are necessary to obtain accurate values. The Consideration of weight of each Observation can improve the accuracy if the reliabilities of observations vary. The strip coordinates were weighted as inversely proportionate to the rotations $\kappa, \varphi, \omega$ which occur in the computation of model coordinates. The resulting errors in absolute coordinates were compared with the errors unweighted case to investigate the influence of orientation elements on absolute coordinates.

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Recursive Clock Skew Estimators for Time Synchronization in Wireless Sensor Networks (무선 센서네트워크에서의 시각동기를 위한 재귀적 클럭 스큐 추정 방법)

  • Kim, Dongjin;Maeng, Seyeong;Bang, Jongdae;Lee, Yeonwoo;Jung, Min-a;Lee, Seong Ro
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.04a
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    • pp.1035-1037
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    • 2012
  • 무선 센서네트워크에서의 시각동기는 MAC 계층에서부터 APP 계층에 이르기까지 거의 모든 계층에서 다양한 목적을 위해 매우 중요한 기술이다. 본 논문에서는 무선 센서네트워크에서의 에너지 효율적인 시각동기를 위한 실시간 클럭 스큐 추정 방법을 제시한다. 재귀적 최소제곱법을 통해 오프셋 보정 정보들을 얻을 때마다 클럭 스큐가 실시간적으로 추정 및 갱신되며, 아울러 스큐 추정을 위해 각 센서노드에 저장해야할 정보를 최소화한다. 제안한 클럭 스큐 추정 방법은 기존의 클럭 오프셋 보정 방법과 쉽게 통합될 수 있으며, 이 경우 보다 정확하고 효율적인 시각동기화가 가능해진다. 시뮬레이션 및 실험 결과를 통해 제안한 클럭 스큐 추정 방법을 통한 시각동기 정확도의 향상을 보인다.

Analysis of Bi-directional Filtered-x Least Mean Square Algorithm (양방향 Filtered-x 최소 평균 제곱 알고리듬에 대한 해석)

  • Kwon, Oh Sang
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.4
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    • pp.133-142
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    • 2014
  • The least mean square(LMS) algorithm has been popular owing to its simplicity, stability, and availability to implement. But it inherently has a problem of slow convergence speed, and the presence of a transfer function in the secondary path following the adaptive controller and the error path has been shown to generally degrade the stability and the performance of the LMS algorithm in applications of acoustical noise control. In general, in order to solve these problems, the filtered-x LMS (FX-LMS) type algorithms can be used and the bi-directional Filtered-x LMS(BFXLMS) algorithm is very attractive among them, which increase the convergence speed and the performance of the controller with nearly equivalent computation complexity. In this paper, a mathematical analysis for the BFXLMS algorithm is presented. In terms of view points of time domain, frequency domain, and stochastic domain, the characteristics and stabilities of algorithm is accurately analyzed.

$H_{\infty}$ Self-Tuning Control of a Flexible Link Robot with Unknown Payload (미지 부하 질량을 갖는 유연 링크 로봇의 $H_{\infty}$ 자기 동조 제어)

  • Han, Ki-Bong;Lee, Shi-Bok
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.160-168
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    • 1997
  • A $H_{\infty}$self-tuning control scheme for the tip position of a flexible link robot handling unknown loads is presented here. The scheme essentially comprises a recursive least-squares identification algorithm and $H_{\infty}$self-tunning controller. The $H_{\infty}$control low is designed to be robust to uncertain parameters and the self-tunning action provides adaption to unknown parameters. Through numerical study, the performance comparison of the $H_{\infty}$self-tuning controller with a constant gain $H_{\infty}$controller as well as a LQG self-tuning controller clearly shows its superior ability in handling load changes in quiescent states.nt states.

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Autocorrelation in Statistical Analyses of Fisheries Time Series Data (수산 관련 시계열 자료를 이용한 통계학적 분석에서의 자기상관에 대한 고찰)

  • Park Young Cheol;Hiyama Yoshiaki
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.35 no.3
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    • pp.216-222
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    • 2002
  • Autocorrelation in time series data can affect statistical inference in correlation or regression analyses. To improve a regression model from which the residuals are autocorrelated, Yule-Walker method, nonlinear least squares estimation, maximum likelihood method and 'prewhitening' method have been used to estimate the parameters in a regression equation. This study reviewed on the estimation methods of preventing spurious correlation in the presence of autocorrelation and applied the former three methods, Yule-Walker, nonlinear least squares and maximum likelihood method, to a 20-year real data set. Monte carlo simulation was used to compare the three parameter estimation methods. However, the simulation results showed that the mean squared error distributions from the three methods simulated do not differ significantly.

Estimation of Spatial Coherency Functions for Kriging of Spatial Data (공간데이터 크리깅 적용을 위한 공간상관함수 추정)

  • Bae, Tae-Suk
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.34 no.1
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    • pp.91-98
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    • 2016
  • In order to apply Kriging methods for geostatistics of spatial data, an estimation of spatial coherency functions is required priorly based on the spatial distance between measurement points. In the study, the typical coherency functions, such as semi-variogram, homeogram, and covariance function, were estimated using the national geoid model. The test area consisting of 2°×2° and the Unified Control Points (UCPs) within the area were chosen as sampling measurements of the geoid. Based on the distance between the control points, a total of 100 sampling points were grouped into distinct pairs and assigned into a bin. Empirical values, which were calculated with each of the spatial coherency functions, resulted out as a wave model of a semi-variogram for the best quality of fit. Both of homeogram and covariance functions were better fitted into the exponential model. In the future, the methods of various Kriging and the functions of estimated spatial coherency need to be studied to verify the prediction accuracy and to calculate the Mean Squared Prediction Error (MSPE).

Evaluation of the Highway Traffic Safety Exposure Measures (도로교통안전도 비교평가지수 산정연구)

  • Kim, Ki Yong;Kim, Won Chul;Chang, Myungsoon
    • Journal of Korean Society of Transportation
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    • v.31 no.5
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    • pp.26-36
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    • 2013
  • Highway traffic safety evaluation of area on the basis of the accident rate has a limitation, thus its result is dependent on the exposure variables. It works an obstacle to decision making for effective budget execution. In this paper, we developed a methodology of taking simultaneously macroscopic exposure indicators into account in evaluating the safety using least squares method. The weight of exposure indicators to make up of highway traffic safety evaluation index is that accident rate per population, accident rate per registration vehicle and accident rate per length of road is 0.29, 0.52 and 0.19 respectively and calculated the highway traffic safety index of total local governments in Korea. The methodology to calculate highway traffic safety evaluation index proposed in this paper can be utilized in executing the traffic safety policies to increase the efficiency of investment about traffic safety budget.