• Title/Summary/Keyword: Minimum Error

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Design of the 2nd order Digital Filter with Minimum Coefficient Quatization Error (최소계수 양자화 오차를 갖는 2차 디지틀 필터의 설계)

  • 문용선;박종안
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.5
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    • pp.364-373
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    • 1990
  • When digital filters are implemented on a computer or with spectial purpose hardware, they unavoidably suffer from errors due to finite wordlength implementation. These errors are classified into coefficient quantiz ation error and roundoff error. The synthesizing method for realizations with minimum coefficient quantization error and minimum roundoff error has been studied. In this paper, it is shown that there is an equivalent transform relation between realizations with minimum coefficient quatization error and minimum roundoff error. To show tha validity of this equivalent transform, we derived the 2nd order digital filter with minimum coefficient quantization error from the 2nd order digital filter with minimum roundoff error and proved the efficiency of realization with minimum coefficient quantization error by simulation.

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Form Error Analysis of a Cam Disk Profile Based on ISO Minimum Zone Criterion (ISO 최소영역법에 기준한 캠 디스크의 형상 오차 해석)

  • Kang, Jae-Gwan;Kim, Won-Il
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.80-85
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    • 2006
  • In an effort to reduce the evaluation time of the precision of manufactured disk cams, an effective measuring method with an exclusively built profile-measuring machine and subsequent data analysis procedure is proposed. The design and measuring data are interpolated by cubic spline curves to compute the precision error which is defined by the maximum and minimum distances between two curves. The minimum zone criterion of ISO is employed to evaluate the form error, and genetic algorithm is used to search the orientation and location of design data for the measured data which minimizes the form error. The proposed system was applied to marine engine cams, and it shows that the form error is reduced to 30% down compared with the method which minimizes the form error with the assumption that the centers of measured data design cam curve are identical.

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A robust and minimum tracking error controller design for robot arms (로보트 팔에 대한 로버스트하고 추적 오차를 최소화하는 제어기 설계)

  • 김세창;신휘범;윤명중
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.36-40
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    • 1986
  • This paper describes a design of the dynamic robot arm controller with two points of view, robustness and minimum tracking error. A new approach to the robust control of robot arm is developed and an explicit solution for minimum tracking error control is obtained from the regulator problem in the error space given by modifying the tracking problem. This control law is applied to the SCARA robot and the computer simulation is presented.

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The Optimal Resolution for Circle Analysis with the Minimum Error (최소 오차 원 해석을 위한 최적 해상도에 관한 연구)

  • 김태현;문영식;한창수
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.5
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    • pp.55-62
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    • 2000
  • In this paper, an algorithm for determining the optimal resolution has been described for measuring the actual length of circular objects. As the resolution gets higher, the measurement error in general becomes smaller because of the reduced distance per pixel. However, the higher resolution makes circular objects enlarged, which may produce an ill-conditioned system. That is, a small error in the boundary positions may result in a large error in the analysis of the circular objects. Taking this fact into account, a new measure is proposed to determine the optimal resolution. The actual errors have been calculated with various resolutions and the resolution with the minimum error has been decided as the optimal resolution. The analysis using various circles with different sizes indicates that the minimum measurement error is obtained when the whole circle appears in the screen as large as possible, regardless of the size of circle. The experimental results using real images have verified the validity of our analysis.

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An On-line Algorithm to Search Minimum Total Error for Imprecise Real-time Tasks with 0/1 Constraint

  • Song Gi-Hyeon
    • Journal of Korea Multimedia Society
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    • v.8 no.12
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    • pp.1589-1596
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    • 2005
  • The imprecise real-time system provides flexibility in scheduling time-critical tasks. Most scheduling problems of satisfying both 0/1 constraint and timing constraints, while the total error is minimized, are NP complete when the optional tasks have arbitrary processing times. Liu suggested a reasonable strategy of scheduling tasks with the 0/1 constraint on uniprocessors for minimizing the total error. Song et al suggested a reasonable strategy of scheduling tasks with the 0/1 constraint on multiprocessors for minimizing the total error. But, these algorithms are all off-line algorithms. On the other hand, in the case of on line scheduling, Shih and Liu proposed the NORA algorithm which can find a schedule with the minimum total error for a task system consisting solely of on-line tasks that are ready upon arrival. But, for the task system with 0/1 constraint, it has not been known whether the NORA algorithm can be optimal or not in the sense that it guarantees all mandatory tasks are completed by their deadlines and the total error is minimized. So, this paper suggests an optimal algorithm to search minimum total error for the imprecise on-line real-time task system with 0/1 constraint. Furthermore, the proposed algorithm has the same complexity, O(N log N), as the NORA algorithm, where N is the number of tasks.

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Robust Minimum Squared Error Classification Algorithm with Applications to Face Recognition

  • Liu, Zhonghua;Yang, Chunlei;Pu, Jiexin;Liu, Gang;Liu, Sen
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.1
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    • pp.308-320
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    • 2016
  • Although the face almost always has an axisymmetric structure, it is generally not symmetrical image for the face image. However, the mirror image of the face image can reflect possible variation of the poses and illumination opposite to that of the original face image. A robust minimum squared error classification (RMSEC) algorithm is proposed in this paper. Concretely speaking, the original training samples and the mirror images of the original samples are taken to form a new training set, and the generated training set is used to perform the modified minimum sqreared error classification(MMSEC) algorithm. The extensive experiments show that the accuracy rate of the proposed RMSEC is greatly increased, and the the proposed RMSEC is not sensitive to the variations of the parameters.

Effect of Roundness Error of a Crank Pin Bearing for a Marine Engine on the Minimum Film Thickness (박용엔진 크랭크 핀 베어링의 형상오차가 최소유막두께에 미치는 영향)

  • Ha, Yang-Hyup;Shin, In-Dong;Lee, Sang-Min;Lee, Seung-Jun;Lee, Deug-Woo
    • Tribology and Lubricants
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    • v.27 no.5
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    • pp.256-263
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    • 2011
  • Bearings of marine engines are operated under severe conditions because of dynamic load and low sliding speed. This paper deals with lubrication analysis of a crank pin bearing for a marine diesel engine. Journal center locus and oil film thickness are compared of crank pin bearing. In the past researches, journal bearings have been studied only about the surface of bearing. In addition to this conventional research, this paper analyzes the effect of roundness error of a journal and a bearing on the minimum film thickness. Numerical analysis has been studied by using Reynolds equation and also Half-Sommerfeld condition is applied as boundary condition. Futhermore, this study investigates the effect of roundness error change on the minimum film thickness. The results demonstrate that the bigger amplitude of roundness error yields, the lower minimum oil film thickness is. In comparison to previous research considered a journal and a bearing individually, the results considering a journal and a bearing together show that amplitude of roundness error of journal has very little effect on the minimum oil film thickness.

Contrast Image Enhancement Using Multi-Histogram Equalization

  • Phanthuna, Nattapong;cheevasuwit, Fusak
    • International Journal of Advanced Culture Technology
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    • v.3 no.2
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    • pp.161-170
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    • 2015
  • Mean separated histogram equalization in order to preserve the original mean brightness has been proposed. To provide the minimum mean brightness error after the histogram modification, the input image's histogram is successively divided by the factor of 2 until the mean brightness error is satisfied the defined threshold. Then each divided group or sub-histogram will be independently equalized based on the proportional input mean. To provide the overall minimum mean brightness error, each group will be controlled by adding some certain pixels from the adjacent grey level of the next group for giving its mean near by the corresponding the divided mean. However, it still exists some little error which will be put into the next adjacent group. By successive dividing the original histogram, we found that the absolute mean brightness error is gradually decreased when the number of group is increased. Therefore, the error threshold is assigned in order to automatically dividing the original histogram for obtaining the desired absolute mean brightness error (AMBE). This process will be applied to the color image by treating each color independently.

A study on 1 & 2 dimensional minimum mean-squared-error equalization for digital holographic data storage system (디지털 홀로그래픽 데이터 저장 시스템을 위한 1차원 및 2차원 최소 평균-제곱-에러 등화에 관한 연구)

  • 최안식;전영식;정종래;백운식
    • Korean Journal of Optics and Photonics
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    • v.13 no.6
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    • pp.486-492
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    • 2002
  • In this paper. we presented 1 & 2 dimensional minimum mean-squared-error (MMSE) equalization scheme in a digital holographic data storage system to improve bit-error-rate (BER) and to mitigate inter-symbol interference (ISI) which were generated during the data storage and retrieval processes. We showed experimentally for ten data pages retrieved from the holographic storage system that BER and signal-to-noise ratio (SNR) were improved by adopting MMSE equalization.

Theoretical Derivation of Minimum Mean Square Error of RBF based Equalizer

  • Lee Jung-Sik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.8C
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    • pp.795-800
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    • 2006
  • In this paper, the minimum mean square error(MSE) convergence of the RBF equalizer is evaluated and compared with the linear equalizer based on the theoretical minimum MSE. The basic idea of comparing these two equalizers comes from the fact that the relationship between the hidden and output layers in the RBF equalizer is also linear. As extensive studies of this research, various channel models are selected, which include linearly separable channel, slightly distorted channel, and severely distorted channel models. In this work, the theoretical minimum MSE for both RBF and linear equalizers were computed, compared and the sensitivity of minimum MSE due to RBF center spreads was analyzed. It was found that RBF based equalizer always produced lower minimum MSE than linear equalizer, and that the minimum MSE value of RBF equalizer was obtained with the center spread which is relatively higher(approximately 2 to 10 times more) than variance of AWGN. This work provides an analytical framework for the practical training of RBF equalizer system.