• Title/Summary/Keyword: Successive approximation method

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Efficient Iterative Physical Optics(IPO) Algorithms for Calculation of RCS (RCS 계산을 위한 효율적인 IPO 계산 방법)

  • Lee, Hyunsoo;Jung, Ki-Hwan;Chae, Dae-Young;Koh, Il-Suek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.5
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    • pp.601-606
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    • 2014
  • The IPO(Iterative Physical Optics) method repeatedly applies the well-known PO(Physical Optics) approximation to calculate the scattered field by a large object. Thus, the IPO method can consider the multiple scattering in the object, which is ignored for the PO approximation. This kind of iteration can improve the final accuracy of the induced current on the scatterer, which can result in the enhancement of the accuracy of the RCS(Radar Cross Section) of the scatterer. Since the IPO method can not exactly but approximately solve the required integral equation, however, the convergence of the IPO solution can not be guaranteed. Hence, we apply the famous techniques used in the inversion of a matrix to the IPO method, which include Jacobi, Gauss-Seidel, SOR(Successive Over Relaxation) and Richardson methods. The proposed IPO methods can efficiently calculate the RCS of a large scatterer, and are numerically verified.

Global Existence and Ulam-Hyers Stability of Ψ-Hilfer Fractional Differential Equations

  • Kucche, Kishor Deoman;Kharade, Jyoti Pramod
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.647-671
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    • 2020
  • In this paper, we consider the Cauchy-type problem for a nonlinear differential equation involving a Ψ-Hilfer fractional derivative and prove the existence and uniqueness of solutions in the weighted space of functions. The Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the Cauchy-type problem is investigated via the successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and their uniqueness using 𝜖-approximated solutions. Finally, we present examples to illustrate our main results.

A Study on Development of Technology Valuation Model for Technology Transfer (기술이전을 위한 기술가치 평가모텔 연구)

  • 박현우;정혜순;유선희
    • Proceedings of the Korea Technology Innovation Society Conference
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    • 2001.11a
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    • pp.201-222
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    • 2001
  • This study proposes a technology valuation model applicable for technology transfer or transaction, based on the review of theoretical models and practical applications. The model analyzes individual technologies that can be transacted as economic goods in terms of intellectual properties as subjects of transaction. The valuation of technology for transfer or transaction needs to be performed in view of demand side rather than supply side. This study suggests a successive approximation method in order to evaluate value of technologies quantitatively

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Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations

  • Dhage, Bapurao Chandrabhan
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.221-233
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    • 2016
  • The present paper proposes a new monotone iteration method for existence as well as approximation of the coupled solutions for a coupled periodic boundary value problem of first order ordinary nonlinear differential equations. A new hybrid coupled fixed point theorem involving the Dhage iteration principle is proved in a partially ordered normed linear space and applied to the coupled periodic boundary value problems for proving the main existence and approximation results of this paper. An algorithm for the coupled solutions is developed and it is shown that the sequences of successive approximations defined in a certain way converge monotonically to the coupled solutions of the related differential equations under some suitable mixed hybrid conditions. A numerical example is also indicated to illustrate the abstract theory developed in the paper.

Improving the Light-Load Efficiency of a LDO-Embedded DC-DC Buck Converter Using a Size Control Method of the Power-Transistor (파워 트랜지스터 사이즈 조절 기법을 이용한 LDO 내장형 DC-DC 벅 컨버터의 저부하 효율 개선)

  • Kim, Hyojoong;Wee, Jaekyung;Song, Inchae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.3
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    • pp.59-66
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    • 2015
  • In this paper, we propose a method of improving the light-load efficiency of DC-DC buck converter using 4bit SAR-ADC (Successive Approximation ADC) for a LDO or a power transistor size selection technique. The proposed circuit selects power transistor sizes depending on load current so that improves the light-load efficiency of the DC-DC buck converter. For this, we select the power transistor size with a cross point of the switching loss and the conduction loss. Also, when the IC operates in standby mode or sleep mode, a LDO mode is selected for improving the efficiency. The proposed circuit selects power transistor sizes(X1, X2, X4, X8) with 4 bits and its efficiency is higher about the maximum of 25% at the light-load than that of a single transistor size. Input voltage and output voltage are 5V and 3.3V for maximum load currents of 500mA.

A 0.4-2GHz, Seamless Frequency Tracking controlled Dual-loop digital PLL (0.4-2GHz, Seamless 주파수 트래킹 제어 이중 루프 디지털 PLL)

  • Son, Young-Sang;Lim, Ji-Hoon;Ha, Jong-Chan;Wee, Jae-Kyung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.45 no.12
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    • pp.65-72
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    • 2008
  • This paper proposes a new dual-loop digital PLL(DPLL) using seamless frequency tracking methods. The dual-loop construction, which is composed of the coarse and fine loop for fast locking time and a switching noise suppression, is used successive approximation register technique and TDC. The proposed DPLL in order to compensate the quality of jitter which follows long-term of input frequency is newly added cord conversion frequency tracking method. Also, this DPLL has VCO circuitry consisting of digitally controlled V-I converter and current-control oscillator (CCO) for robust jitter characteristics and wide lock range. The chip is fabricated with Dongbu HiTek $0.18-{\mu}m$ CMOS technology. Its operation range has the wide operation range of 0.4-2GHz and the area of $0.18mm^2$. It shows the peak-to-peak period jitter of 2 psec under no power noise and the power dissipation of 18mW at 2GHz through HSPICE simulation.

Optimal Control by the Gradient Method (경사법에의한 최적제어)

  • 양흥석;황희융
    • 전기의세계
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    • v.21 no.3
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    • pp.48-52
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    • 1972
  • The application of pontryagin's Maximum Principle to the optimal control eventually leads to the problem of solving the two point boundary value problem. Most of problems have been related to their own special factors, therfore it is very hard to recommend the best method of deriving their optimal solution among various methods, such as iterative Runge Kutta, analog computer, gradient method, finite difference and successive approximation by piece-wise linearization. The gradient method has been applied to the optimal control of two point boundary value problem in the power systems. The most important thing is to set up some objective function of which the initial value is the function of terminal point. The next procedure is to find out any global minimum value from the objective function which is approaching the zero by means of gradient projection. The algorithm required for this approach in the relevant differential equations by use of the Runge Kutta Method for the computation has been established. The usefulness of this approach is also verified by solving some examples in the paper.

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APPLICATION OF BENFOR'S EQUATIONS TO THE PROBLEM OF "SEEING THROUGH LAYERS"

  • Krivoshiev, Georgi -P.;Chalucova, Raina-P.;Dahm, Donald-J.
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1132-1132
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    • 2001
  • This work is a further development of the method created by G. Krivoshiev in 1996 for elimination of peel interference and prediction of fruit flesh optical density. In this investigation, as it was earlier, the objects are observed as being structured by three successive layer “AlongrightarrowOlongrightarrowB” denoting “peel-flesh-peel”. In the first version of the method the transmittances of the surface layers A and B were measured according to Kubelka-Munk theory by means of their diffuse reflectance. At that the overall transmittance T was approximated in the form of a multiplication approximation being valid for plane-parallel layers of a non-scattering material. In this work this approximation was done away with applying the theory of discontinuum, respectively Benfor's equations. As a result two mathematical models were created for non-destructive prediction of fruit flesh optical density. These models are different from the ones based solely on Kubelka-Munk theory, the destruction being marked by the terms 1n (1 - $R_{A}R_{0}$) and 1n (1 - $R_{A}R_{B}$), where: $R_{A}$ and $R_{B}$ are reflectance values for the surface layers A and B; $R_{0}$ is the average reflectance of the internal layer that could be obtained empirically by means of a preliminary measurement of sufficiently large number of physically peeled fruits of a given species and variety.

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Optimization of Process Parameters for Mill Scale Recycling Using Taguchi Method (다구찌 방법을 이용한 밀스케일 재활용에 대한 공정변수의 최적화)

  • Baek, Seok-Heum;Joo, Won-Sik;Kim, Chang-Kee;Jeong, Yu-Yeob;Shin, Shang-Woon;Hong, Soon-Hyeok
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.2
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    • pp.88-95
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    • 2008
  • With society focusing more and more on environmental issues, the recycling of materials of all types has become an important concern. In this paper, optimization method is developed for reducing cost and improving quality in mill scale recycling. An experimental investigation into the process parameter effects is presented to determine the optimum configuration of parameters for performance, quality and cost. Taguchi's optimization approach was used to obtain the optimal parameters. The significant parameters were identified and their effects on mill scale recycling were studied. As a results, a confirmation experiment with the optimal levels of process parameters was carried out in order to demonstrate the effectiveness of the Taguchi method.