• 제목/요약/키워드: Error function

검색결과 3,405건 처리시간 0.03초

CIRCLE APPROXIMATION BY QUARTIC G2 SPLINE USING ALTERNATION OF ERROR FUNCTION

  • Kim, Soo Won;Ahn, Young Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권3호
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    • pp.171-179
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    • 2013
  • In this paper we present a method of circular arc approximation by quartic B$\acute{e}$zier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvature-continuous quartic spline under the subdivision of circular arc with equal-length until error is less than tolerance. We illustrate our method by some numerical examples.

Effect of Microdiversity and Macrodiversity on Average Bit Error Probability in Gamma-Shadowed Rician Fading Channels

  • Milenkovic, Vladeta Vasilije;Sekulovic, Nikola Milos;Stefanovic, Mihajlo Caslav;Petrovic, Mile Branko
    • ETRI Journal
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    • 제32권3호
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    • pp.464-467
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    • 2010
  • In this letter, we analyze the error performance of a mobile communication system with microdiversity and macrodiversity reception in gamma-shadowed Rician fading channels for a binary differential phase-shift keying modulation scheme. Analytical expressions for the probability density function (PDF) and moment-generating function (MGF) are derived. The average bit error probability can be calculated by averaging the conditional bit error probability over the PDF or using the MGF-based approach. Numerical results are graphically presented to show the effects of macrodiversity, correlation, number of diversity branches, and severity of both fading and shadowing.

Augmentation of Fractional-Order PI Controller with Nonlinear Error-Modulator for Enhancing Robustness of DC-DC Boost Converters

  • Saleem, Omer;Rizwan, Mohsin;Khizar, Ahmad;Ahmad, Muaaz
    • Journal of Power Electronics
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    • 제19권4호
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    • pp.835-845
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    • 2019
  • This paper presents a robust-optimal control strategy to improve the output-voltage error-tracking and control capability of a DC-DC boost converter. The proposed strategy employs an optimized Fractional-order Proportional-Integral (FoPI) controller that serves to eliminate oscillations, overshoots, undershoots and steady-state fluctuations. In order to significantly improve the error convergence-rate during a transient response, the FoPI controller is augmented with a pre-stage nonlinear error-modulator. The modulator combines the variations in the error and error-derivative via the signed-distance method. Then it feeds the aggregated-signal to a smooth sigmoidal control surface constituting an optimized hyperbolic secant function. The error-derivative is evaluated by measuring the output-capacitor current in order to compensate the hysteresis effect rendered by the parasitic impedances. The resulting modulated-signal is fed to the FoPI controller. The fixed controller parameters are meta-heuristically selected via a Particle-Swarm-Optimization (PSO) algorithm. The proposed control scheme exhibits rapid transits with improved damping in its response which aids in efficiently rejecting external disturbances such as load-transients and input-fluctuations. The superior robustness and time-optimality of the proposed control strategy is validated via experimental results.

FRF 누설오차 개선에 의한 전달함수 합성법의 향상 (An Enhancement of Transfer Function Synthesis by Improving the Leakage Error of FRF)

  • Ahn, Se-Jin;Jeong, Weui-Bong;Kim, Seung-Yup
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.354.2-354
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    • 2002
  • The frequency response function(FRF) of each substructure is used in the transfer function synthesis method(TFS). The dynamic characteristics of an entire system are obtained by synthesizing results of substructures. The accuracy of TFS will depend on that of FRF of each substructure. The impact hammer testing is widely used to obtain the modal characteristics of substructures. (omitted)

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변형된 강도함수를 적용한 소프트웨어 신뢰모형의 신뢰성능 비교 평가에 관한 연구 (A Study on the Reliability Performance Evaluation of Software Reliability Model Using Modified Intensity Function)

  • 김희철;문송철
    • Journal of Information Technology Applications and Management
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    • 제25권2호
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    • pp.109-116
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    • 2018
  • In this study, we was compared the reliability performance of the software reliability model, which applied the Goel-Okumoto model developed using the exponential distribution, to the logarithmic function modifying the intensity function and the Rayleigh form. As a result, the log-type model is relatively smaller in the mean squared error compared to the Rayleigh model and the Goel-Okumoto model. The logarithmic model is more efficient because of the determination coefficient is relatively higher than the Goel-Okumoto model. The estimated determination coefficient of the proposed model was estimated to be more than 80% which is a useful model in the field of software reliability. Reliability has been shown to be relatively higher in the log-type model than the Rayleigh model and the Goel-Okumoto model as the mission time has elapsed. Through this study, software designer and users can identify the software failure characteristics using mean square error, decision coefficient. The confidence interval can be used as a basic guideline when applying the intensity function that reflects the characteristics of the lifetime distribution.

광학설계의 최적화에서 Lagrange 부정승수법을 이용한 능동적 제어 (Active control of optimization process in lens design by using Lagrange's undetermined multiplier method)

  • 조용주;이종웅
    • 한국광학회지
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    • 제12권2호
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    • pp.109-114
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    • 2001
  • 광학설계의 최적화에서는 광학수차를 줄이면서 광학계의 제한조건을 유지시켜야하며, 이를 위하여 Lagrange 부정승수법이 사용되고 있다. 이 과정에서 제한조건이 merit function의 error 항보다 우선적으로 보정된다. 본연구에서는 이를 이용하여 merit function에서 절대값이 큰 error의 보정조건을 제한조건으로 변경하여 우선적으로 보정하는 최적화의 능동적 제어법을 제안하고 이를 사진렌즈계의 최적화에 적용하였다.

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어셈블리어 코드 기반의 Invalid Function Pointer Access Error 가능성 검출 (Detection of Potential Invalid Function Pointer Access Error based on Assembly Codes)

  • 김현수;김병만
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2010년도 춘계학술대회
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    • pp.938-941
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    • 2010
  • 일반적으로 컴파일러가 프로그램 번역시 메모리 사용 오류에 대한 검사도 병행하지만, 코드 레벨에서는 검사가 불가능한 함수 포인터는 정상적인 검사가 매우 힘들다. 이에 본 논문에서는 실행 프로그램을 역어셈블하여 만들어진 어셈블리 언어 프로그램을 구문 분석하여 함수 포인터 사용의 형태(패턴)를 어셈블리 명령어 전이도를 기반으로 "Invalid Function Pointer Access Error"에 대한 오류 가능성을 검출한다. 검사대상인 3개 프로그램은 약 10,000개의 함수와 1,000,000 개의 어셈블리 명령어로 구성되어 있으며, 본 논문에서 제안한 방법을 사용하여 함수 포인터의 사용 오류를 검출한 결과 1,100개의 함수 포인터 사용 중 약 500개의 비정상적 함수 포인터의 사용을 검출하였으며 검출에 걸린 시간은 총 82초 정도가 소요되었다.

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A Comparison Study on the Error Criteria in Nonparametric Regression Estimators

  • Chung, Sung-S.
    • Journal of the Korean Data and Information Science Society
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    • 제11권2호
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    • pp.335-345
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    • 2000
  • Most context use the classical norms on function spaces as the error criteria. Since these norms are all based on the vertical distances between the curves, these can be quite inappropriate from a visual notion of distance. Visual errors in Marron and Tsybakov(1995) correspond more closely to "what the eye sees". Simulation is performed to compare the performance of the regression smoothers in view of MISE and the visual error. It shows that the visual error can be used as a possible candidate of error criteria in the kernel regression estimation.

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$\beta$ - 분포를 갖는 센서의 방향각 오차로 인한 거리 오차의 통계적 분석 (Statistical Analysis of Ranging Errors by using $\beta$-Density Angular Errors due to Heading Uncertainty)

  • 김종성
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1984년도 추계학술발표회 논문집
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    • pp.100-106
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    • 1984
  • Traditional methods for estimating the location of underwater target, i.e. the triangulation method and the wavefront curvature method, have been utilized. The location of a target is defined by the range and the bearing, which estimates can be obtained by evaluating the time delay between neighboring sensors. Many components of error occur in estimating the target range, among which the error due to the fluctuation of heading angle is outstanding. In this paper, the wavefront curvature method was used. We considered the error due to the heading fluctuation as the $\beta$-density process, from which we analized the range estimates with $\beta$-density function exist in some finite limits, and its mean value and variation are depicted as a function of true range and heading fluctuation. Given heading angles and sensor separation, maximum estimated heading errors are presented as a function of true range.

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2날 엔드밀 슬롯 가공시 칩두께 모델의 개선 (Improvement of Chip Thickness Model in 2-flutes Slot End Milling)

  • 이동규;이기용;이근우;오원진;김정석
    • 한국정밀공학회지
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    • 제22권1호
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    • pp.32-38
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    • 2005
  • Generally, cutting force models use a sin function method to calculate chip thickness. In slot end milling, the error from a sin function method is much bigger than other machining because a tool rotation angle in cutting is much larger. Thus in this paper, a new method to calculate chip thickness was suggested and evaluated. In a new method, tool position data according to tool rotation are checked and stored so that it is possible correct chip thickness is calculated. Cutting force waveforms simulated from a sin function method and a new method and measured waveforms from experiments were compared and error percentages were obtained. Finally, a new method had good results for simulating cutting force in slot end milling.