• Title/Summary/Keyword: iterative method

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An Iterative Approach for Alternate Mainbeam Nulling Algorithm in Coherent Environment (간섭신호 환경에서 교대 주빔 제거 알고리듬을 위한 반복 기법)

  • Chang, Byung-Kun;Jeon, Chang-Dae
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.153-156
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    • 2005
  • This paper concerns an efficient iterative approach for eliminating coherent interference signals in linearly constrained adaptive arrays. The Alternate Mainbeam Nulling Algorithm[1] is implemented iteratively to find an optimum weight vector. The convergence parameters in the unit gain and null constraints are calculated using steepest descent method with gradient estimation. The nulling performance of the proposed method is compared with that of conventional ones. It is shown that the proposed method performs better than conventional ones when the power of the coherent signals is large compared with a desired signal. Also, it performs consistently well for more number of interferences.

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Adaptive Iterative Depeckling of SAR Imagery (반복 적응법에 의한 SAR 잡음 제거)

  • Lee, Sang-Hoon
    • Proceedings of the KSRS Conference
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    • 2007.03a
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    • pp.126-129
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    • 2007
  • In this paper, an iterative MAP approach using a Bayesian model based on the lognormal distribution for image intensity and a GRF for image texture is proposed for despeckling the SAR images that are corrupted by multiplicative speckle noise. When the image intensity is logarithmically transformed, the speckle noise is approximately Gaussian additive noise, and it tends to a normal probability much faster than the intensity distribution. The MRF is incorporated into digital image analysis by viewing pixel type s as states of molecules in a lattice-like physical system defined on a GRF. Because of the MRFGRF equivalence, the assignment of an energy function to the physical system determines its Gibbs measure, which is used to model molecular mteractions. The proposed adaptive iterative method was evaluated using simulation data generated by the Monte Carlo method. In the extensive experiments of this study, the proposed method demonstrated the capability to relax speckle noise and estimate noise-free intensity.

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Robustness of 2nd-order Iterative Learning Control for a Class of Discrete-Time Dynamic Systems

  • Kim, Yong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.3
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    • pp.363-368
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    • 2004
  • In this paper, the robustness property of 2nd-order iterative learning control(ILC) method for a class of linear and nonlinear discrete-time dynamic systems is studied. 2nd-order ILC method has the PD-type learning algorithm based on both time-domain performance and iteration-domain performance. It is proved that the 2nd-order ILC method has robustness in the presence of state disturbances, measurement noise and initial state error. In the absence of state disturbances, measurement noise and initialization error, the convergence of the 2nd-order ILC algorithm is guaranteed. A numerical example is given to show the robustness and convergence property according to the learning parameters.

A Practical Method for Estimating High-Energy X-Ray Spectra Using the Iterative Perturbation Principle of Waggener

  • Iwasaki, Akira;Matsutani, Hideya;Kubota, Mamoru;Fujimori, Akira;Suzaki, Katsumasa;Abe, Yoshinao
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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    • pp.263-266
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    • 2002
  • We have developed a practical method for estimating high-energy x-ray spectra using measured attenuation curves. This method is based on the iterative perturbation technique proposed by Waggener et al. The principle is to minimize the difference between the measured and calculated transmission curves. The experimental study was made using 4 MV, 10 MV, and 15 MV x-ray beams. It has been found that the spectrum varies strongly with the off-axis distance.

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Noise PDF Analysis of Nonlinear Image Sensor Model with Application: Iterative Radiometric Calibration Method

  • Myung, Hwan-Chun;Youn, Heong-Sik
    • Proceedings of the KSRS Conference
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    • 2008.10a
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    • pp.247-250
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    • 2008
  • The paper presents the advanced radiometric calibration method, called the lRCM (Iterative Radiometric Calibration Method), in order to avoid an operational constraint (solar source) for calibration. The IRCM assumes that an optical instrument is equipped with a filter assembly which consists of same band filters with different transmission ratios. Given all the noise sources (including the artificial one caused by the filters) of an image sensor, the noncentral ${\chi}^2$ distribution of the output result is induced by the approach of a noise PDF (Power Density Function). Finally, the radiometric calibration problem is transformed into equating two independent relations for the image sensor gains through the specified distribution.

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FAST MATRIX SPLITTING ITERATION METHOD FOR THE LINEAR SYSTEM FROM SPATIAL FRACTIONAL DIFFUSION EQUATIONS

  • LIANG, YUPENG;SHAO, XINHUI
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.489-506
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    • 2020
  • The spatial fractional diffusion equation can be discretized by employing the implicit finite difference scheme using the shifted Grünwald formula. The discretized linear system is obtained, whose the coefficient matrix has a diagonal-plus-Toeplitz structure. In order to solve the diagonal-plus-Toeplitz linear system, on the basis of circulant and skew-circulant splitting (CSCS splitting), we construct a new and efficient iterative method, called DSCS iterative methods, which have two parameters. Than we prove the convergence of DSCS methods. As a focus, we derive the simple and effective values of two optimal parameters under some restrictions. Some numerical experiments are carried out to illustrate the validity and accuracy of the new methods.

AN IMPROVED EXPONENTIAL REGULA FALSI METHODS WITH CUBIC CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

  • Ibrahim, S.A. Hoda
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1467-1476
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    • 2010
  • The aim of this paper is to propose a cubic convergent regula falsi iterative method for solving the nonlinear equation f(x) = 0, where f : [a,b] $\subset$ R $\rightarrow$ R is a continuously differentiable. In [3,6] a quadratically convergent regula falsi iterative methods for solving this nonlinear equations is proposed. It is shown there that both the sequences of diameters and iterative points sequence converge to zero simultaneously. So The aim of this paper is to accelerate further the convergence of these methods from quadratic to cubic. This is done by replacing the parameter p in the iteration of [3,5,6] by a function p(x) defined suitably. The convergence analysis is carried out for the method. The method is tested on number of numerical examples and results obtained shows that our methods are better and more effective and comparable to well-known methods.

Iterative global-local approach to consider the local effects in dynamic analysis of beams

  • Erkmen, R. Emre;Afnani, Ashkan
    • Coupled systems mechanics
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    • v.6 no.4
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    • pp.501-522
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    • 2017
  • This paper introduces a numerical procedure to incorporate elasto-plastic local deformation effects in the dynamic analysis of beams. The appealing feature is that simple beam type finite elements can be used for the global model which needs not to be altered by the localized elasto-plastic deformations. An overlapping local sophisticated 2D membrane model replaces the internal forces of the beam elements in the predefined region where the localized deformations take place. An iterative coupling technique is used to perform this replacement. Comparisons with full membrane analysis are provided in order to illustrate the accuracy and efficiency of the method developed herein. In this study, the membrane formulation is able to capture the elasto-plastic material behaviour based on the von Misses yield criterion and the associated flow rule for plane stress. The Newmark time integration method is adopted for the step-by-step dynamic analysis.

An Iterative Image Restoration (화상의 반복 복원 처리)

  • 이태홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.8
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    • pp.891-897
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    • 1992
  • A local iterative Image restoration method Is Introduced that processes with varying iteration numbers according to the local statistics. In general almost of the Iterative method applies Its algorithm to the whole Image without considering the local pixel informations, which Is not so effective for the processing time. Usually the edges or details have an Important role In visual effect. So in this paper we process the edges or the details many times while In the flat region we just pass over or decrease iterations. This method shows good MSE (Mean Square Error) improvement, better subjective qualify and reduced processing time.

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Comparison of Parameter Estimation for Weibull Distribution

  • Wang, Fu-Kwun;J. Bert Keats;B. Y. Leu
    • International Journal of Reliability and Applications
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    • v.4 no.1
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    • pp.41-50
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    • 2003
  • This paper represents the first comprehensive comparison of the Newton-Raphson's method and Simple Iterative Procedure (SIP) in the maximum likelihood estimation of the two-parameter Weibull distribution. Computer simulation is employed to compare these two methods for multiply censored, singly censored data (Type I or Type Ⅱ censoring) and complete data. Results indicate the Newton-Raphson's with the Menon's estimated value, as an initial point remains the effective iterative procedure for estimating the parameters.

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