• Title/Summary/Keyword: gradient-based formula

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A Tracking Algorithm for Shipboard Satellite Antenna Systems (선박용 위성 안테나용 트랙킹 알고리즘)

  • 고운용;황승욱;진강규
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1115-1121
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    • 2001
  • This paper presents the development of a tracking algorithm for shipborad satellite antenna systems which can enhance the tracking performance. In order to overcome some drawbacks of the conventional step tracking algorithm a new tracking algorithm is proposed. The proposed algorithm searches for the best tracking angles using gradient-based formulae and signal intensities measured according to a search pattern. The effectiveness of the proposed algorithm is demonstrated through simulation using real data.

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The Design of the Stabilized Algorithm for Shipboard Satellite Antenna Systems using Genetic Algorithm (유전 알고리즘을 적용한 선박용 위성 안테나의 안정화 알고리즘의 설계)

  • 고운용;황승욱;진강규
    • Journal of the Korean Institute of Navigation
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    • v.25 no.4
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    • pp.361-369
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    • 2001
  • This thesis describes the design of a stabilized algorithm for shipboard satellite antenna systems which can enhance the tracking performance. In order to overcome some drawbacks of the conventional step tracking algorithm, the proposed algorithm searches for the best tracking angles using gradient-based formulae and signal intensities measured according to a search pattern. The effectiveness of the proposed algorithm is demonstrated through simulation using real-world data.

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Development of a Tracking Algorithm for Shipboard Satellite Antenna Systems (선박용 위성 안테나의 트랙킹 알고리즘 개발)

  • 고운용;황승욱;진강규
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.05a
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    • pp.219-224
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    • 2001
  • This paper presents the development of a tracking algorithm for shipboard satellite antenna systems which can enhance the tracking performance. In order to overcome some drawbacks of the conventional step tracking algorithm, the proposed algorithm searches for the best tracking angles using gradient-based formulae and signal intensities measured according to a search pattern. The effectiveness of the proposed algorithm is demonstrated through simulation using real-world data.

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Assessment of Gradient-based Digital Speckle Correlation Measurement Errors

  • Jian, Zhao;Dong, Zhao;Zhe, Zhang
    • Journal of the Optical Society of Korea
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    • v.16 no.4
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    • pp.372-380
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    • 2012
  • The optical method Digital Speckle Correlation Measurement (DSCM) has been extensively applied due its capability to measure the entire displacement field over a body surface. A formula of displacement measurement errors by the gradient-based DSCM method was derived. The errors were found to explicitly relate to the image grayscale errors consisting of sub-pixel interpolation algorithm errors, image noise, and subset deformation mismatch at each point of the subset. A power-law dependence of the standard deviation of displacement measurement errors on the subset size was established when the subset deformation was rigid body translation and random image noise was dominant and it was confirmed by both the numerical and experimental results. In a gradient-based algorithm the basic assumption is rigid body translation of the interrogated subsets, however, this is in contradiction to the real circumstances where strains exist. Numerical and experimental results also indicated that, subset shape function mismatch was dominant when the order of the assumed subset shape function was lower than that of the actual subset deformation field and the power-law dependence clearly broke down. The power-law relationship further leads to a simple criterion for choosing a suitable subset size, image quality, sub-pixel algorithm, and subset shape function for DSCM.

Statistical Estimation and Algorithm in Nonlinear Functions

  • Jea-Young Lee
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.135-145
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    • 1995
  • A new algorithm was given to successively fit the multiexponential function/nonlinear function to data by a weighted least squares method, using Gauss-Newton, Marquardt, gradient and DUD methods for convergence. This study also considers the problem of linear-nonlimear weighted least squares estimation which is based upon the usual Taylor's formula process.

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Stabilization and Tracking Algorithms of a Shipboard Satellite Antenna System (선박용 위성 안테나 시스템의 안정화 및 추적 알고리즘)

  • Koh, Woon-Yong;Hwang, Seung-Wook;Ha, Yun-Su;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.1
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    • pp.67-73
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    • 2002
  • This paper presents the development of development of stabilization and tracking algorithms for a shipboard satellite antenna system. In order to stabilize the satellite antenna system designed in the previous work, a model for each control axis is derived and its parameters are estimated using a genetic algorithm, and the state feedback controller is designed based on the linearized model. Then a tracking algorithm is derived to overcome some drawbacks of the step tracking. The proposed algorithm searches for the best position using gradient-based formulae and signal intensities measured according to a search pattern. The effectiveness of both the stabilization and tracking algorithms is demonstrated through experiment using real-world data.

A method of optimum design based on reliability for antenna structures

  • Chen, Jianjun;Wang, Fanglin;Sun, Huaian;Zhang, Chijiang
    • Structural Engineering and Mechanics
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    • v.8 no.4
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    • pp.401-410
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    • 1999
  • A method of optimum design based on reliability for antenna structures is presented in this paper. By constructing the equivalent event, the formula is derived for calculating the reliability of reflector accuracy of antenna under the action of random wind load. The optimal model is developed, in which the cross sectional areas of member are treated as design variables, the structure weight as objective function, the reliability of reflector accuracy and the strength or stability of structural elements as constraints. The improved accelerated convergence gradient algorithm developed by the author is used. The design results show that the method in this paper is feasible and effective.

Shape Design Sensitivity Analysis of Supercavitating Flow Problem (초공동(超空洞) 유동 문제의 형상 설계민감도 해석)

  • Choi, Joo-Ho;Kwak, Hyun-Gu;Grandhi, R.V.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1320-1327
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    • 2004
  • An efficient boundary-based technique is developed for addressing shape design sensitivity analysis in supercavitating flow problem. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in potential flow problems. The formula, which is expressed in terms of the boundary solutions and shape variation vectors, can be conveniently used for gradient computation in a variety of shape design in potential flow problems. While the sensitivity can be calculated independent of the analysis means, such as the finite element method (FEM) or the boundary element method (BEM), the FEM is used for the analysis in this study because of its popularity and easy-to-use features. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The supercavitating flow problem is chosen to illustrate the efficiency of the proposed methodology. Implementation issues for the sensitivity analysis and optimization procedure are also addressed in this flow problem.

A Boundary Method for Shape Design Sensitivity Analysis for Shape Optimization Problems and its Application (경계법을 이용한 형상최적화 문제의 설계민감도 해석 및 응용)

  • 최주호;곽현구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.355-362
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    • 2004
  • An efficient boundary-based technique is developed for addressing shape design sensitivity analysis in various problems. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in problems. The formula, which is expressed in terms of the boundary solutions and shape variation vectors, can be conveniently used for gradient computation in a variety of shape design problems. While the sensitivity can be calculated independent of the analysis means, such as the finite element method (FEM) or the boundary element method (BEM), the FEM is used for the analysis in this study because of its popularity and easy-to-use features. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The supercavitating flow problem and fillet problem are chosen to illustrate the efficiency of the proposed methodology. Implementation issues for the sensitivity analysis and optimization procedure are also addressed in these problems.

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A Boundary Method for Shape Design Sensitivity Analysis in Shape Optimization Problems and its Application (경계법을 이용한 형상최적화 문제의 설계민감도 해석 및 응용)

  • Kwak Hyun-Gu;Choi Joo-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.255-263
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    • 2005
  • This paper proposes an efficient boundary-based technique for the shape design sensitivity analysis in various disciplines. An analytical sensitivity formula in the form of a boundary integral is derived based on the continuum formulation for a general functional defined in the problems. The formula can be conveniently used for gradient computation in a variety of shape design problems. The advantage of using a boundary-based method is that the shape variation vectors are needed only on the boundary, not over the whole domain. The boundary shape variation vectors are conveniently computed by using finite. Perturbations of the shape geometry instead of complex analytical differentiation of the geometry functions. The potential flow problems and fillet problem are chosen to illustrate the efficiency of the proposed methodology.