• Title/Summary/Keyword: Standard $deviation(\sigma)$

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Simplified Noise Modeling of GPS Measurements for a Fast and Reliable Cycle Ambiguity Resolution

  • Park, Byung-Woon;Kee, Chang-Don
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.535-540
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    • 2006
  • The relationship between the observable noise model and the satellite elevation angle can be modeled quite well by an exponential function.[Jin, 1996] Noise size and dependence on the elevation angle are, however, different for each observation and receiver type. Therefore, the coefficient determination of this model is an issue, and various methods including PR-CP, single difference, and time difference have been suggested. The limitations of them are difficulty to model the carrier phase noise and to eliminate bias. To overcome these disadvantages for using Jin's model, we suggest zero baseline double difference (DD) and noise sorting algorithm. Data DD technique in zero baseline is useful to eliminate all the troublesome GPS biases, and the remaining error is the sum of GPS measurement noises from two satellites. These DD residuals for hours should be sorted by the combination of satellite elevation angles, and then variance value of the residual for each combination can be estimated. Using these values, we construct an over-determined linear equation whose solution is a set of noise variance for each satellite elevation angle. With 24hr Trimble 4000ssi data, we easily worked out the coefficients of the noise model not only for pseudorange but also for carrier phase. We estimated the standard deviation of the measurement DD using our model, and plotted 1 and 3 sigma lines for every epoch to verify the representation of the residual error. 63.3% of pseudorange residual and 65.9% of phase error did not exceed the 1 sigma lines. Additionally, 99.2% and 99.5% of them lied within 3sigma line. These figures prove that the Gaussian property of measurement noise, and that the suggested model by our algorithm corresponds to the observable noise information.

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The study for Six Sigma Robust Design of Column part for LCD Transfer system (LCD이송장치 Column부의 식스 시그마 강건설계를 위한 연구)

  • Jung D.W.;Chung W.J.;Song T.J.;Bang D.J.;Yoon Y.M.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.869-872
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    • 2005
  • This research studied robust design of column part for LCD transfer system. $1^{st}$ DOE(Design of Experiment)was conducted to find out main effect factors. 36 experiments were performed and their results were shows that the geometric parameters(Low-length, Side-length, Upper-thickness, Middle-thickness)are more important than other factors. The main effect plots shows that the maximum deflection of column is minimized with increasing Low-length, Side-length, under-thickness and Middle-thickness. $2^{nd}$ DOE was conducted to obtain RMS(Response Surface Method)equation 25 experiments were conducted. The CCD(Central Composite Design)technique with four factors were used. The coefficient of determination $(R^2)$ for the calculated RSM equation was 0.986. Optimum design was conducted using the RSM equation Multi-island genetic algorithm was used to optimum design. Optimum value for Low-length. Side-length, Upper-thickness and Middle-thickness were 299.8mm, 180.3mm, 21.7mm, 21.9mm respectively. An approximate value of 5.054mm in deflection was expected to be a maximum under the optimum conditions. Six sigma robust design was conducted to find out guideline for control range of design parameter. To acquire six sigma level reliability, the standard deviation of design parameter should be controlled within 2% of average design value.

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Reliability Prediction of Long-term Creep Strength of Gr. 91 Steel for Next Generation Reactor Structure Materials (미래형 원자로 구조 재료용 Gr. 91 강의 장시간 크리프 강도의 신뢰성 예측)

  • Kim, Woo-Gon;Park, Jae-Young;Yin, Song-Nan;Kim, Dae-Whan;Park, Ji-Yeon;Kim, Seon-Jin
    • Korean Journal of Metals and Materials
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    • v.49 no.4
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    • pp.275-280
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    • 2011
  • This paper focuses on reliability prediction of long-term creep strength for Modified 9Cr-1Mo steel (Gr. 91) which is considered as one of the structural materials of next generation reactor systems. A "Z-parameter" method was introduced to describe the magnitude of standard deviation of creep rupture data to the master curve which can be plotted by log stress vs. The larson-Miller parameter (LMP). Statistical analysis showed that the scattering of the Z-parameter for the Gr. 91 steel well followed normal distribution. Using this normal distribution of the Z-parameter, the various reliability curves for creep strength design, such as stress-time temperature parameter reliability curves (${\sigma}$-TTP-R curves), stress-rupture time-reliability curves (${\sigma}-t_{r}-R$ curves), and allowable stress-temperature- reliability curves ([${\sigma}$]-T-R curves) were reasonably drawn, and their results are discussed.

A New Prediction Method for Scintillation Expression

  • Chutchavong, Vanvisa;Nakasuwan, Jintana;Sangaroon, Ornlarp;Jenchitrapongvej, Kanok
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2082-2086
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    • 2003
  • This paper presents the analysis of satellite received signal by focus on the new prediction method for amplitude scintillation expression. A predict method based in the relationship of standard deviation values and the peak to peak values of amplitude scintillation in various of time period and various of sampling rate of signal variation. The principal techniques finding, the proper sampling rate and time interval, for the best expression method. The experiment has been performed in Bangkok of Thailand, at King Mongkut's Institute of Technology, Ladkrabang, data collected in C-Band and Ku-Band on high elevation angles. The result of analysis shows the relationship between two methods is given by ${\sigma}_x={\alpha}(P-P)+{\beta}$. The value of ${\alpha}$ depends on sampling rate by closely with three-minute maximum time interval.

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A Study on the Estimation of Scattering Coefficient in the Spheres Using an Inverse Analysis (역해석을 이용한 구형 공간 내의 산란계수 추정에 관한 연구)

  • Kim, Woo-Seung;Kwag, Dong-Seong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.3
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    • pp.364-373
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    • 1999
  • A combination of conjugate gradient and Levenberg-Marquardt method is used to estimate the spatially varying scattering coefficient, ${\sigma}(r)$, in the solid and hollow spheres by utilizing the measured transmitted beams from the solution of an inverse analysis. The direct radiation problem associated with the inverse problem is solved by using the $S_{12}-approximation$ of the discrete ordinates method. The accuracy of the computations increased when the results from the conjugate gradient method are used as an initial guess for the Levenberg-Marquardt method of minimization. Optical thickness up to ${\tau}_0=3$ is used for the computations. Three different values of standard deviation are considered to examine the accuracy of the solution from the inverse analysis.

Effects of soft handoff region ratio on the reverse link capacity of a DS-CDMA cellular system (DS-CDMA 셀룰라 시스템의 역방향 링크에서 소프트 핸드오프 영역비율의 효과)

  • 전형구;권오준;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.11B
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    • pp.1534-1539
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    • 2001
  • In this paper, effects of soft handoff region on the reverse link capacity of a DS-CDMA cellular system are investigated. The reverse link capacity of a CDMA cellular system is calculated at a given soft handoff region ratio (SHRR) and path loss model. The results show that the reverse link capacity increases by 1 ∼ 4 channels according to the soft handoff region ratio and the path loss model. However, in the case of the path loss model having a large attenuation exponent ($\mu$ = 5) and a small shadowing standard deviation ( $\sigma$ = 6 dB), the reverse link capacity is no more increased by increasing SHRR.

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Evaluation of the Performance of Re-entry System for the Typical Uncertainties

  • L., Daewoo;C., Kyeumrae;P., Soohong
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.156.4-156
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    • 2001
  • The uncertainties of an atmospheric re-entry flight with respect to stability and controllability are aerodynamic error, measurement error of the angle of attack, variation of dynamic pressure, wind, and trim position of the control surfaces, etc. During hypersonic flight, a future angle of attack is biased from a nominal schedule. In order words, because the angle of attack is estimated from the navigation data, estimation error occurs due to wind, atmospheric density variation, etc. Error models used in this study, include a standard deviation of +-3 sigma, and are the normal distribution of statistics. This paper shows the appraisement of tracking performance onto the reference trajectory, satisfaction of the initial condition of TAEM about the re-entry system.

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Estabilishment of Elastic Control Limit in each stage on PLC

  • 김홍재;박철우
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.32
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    • pp.73-79
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    • 1994
  • 본 연구는 관리한계설정을 위한 새로운 방법을 제시한다. 일반적 관리한계는 중심선(Central Line)과 표준편차(Standard Deviation)에 기인한다. 그러나 본 연구에서는 제품수명주기(PLC)의 각 단계상 발생되는 손익분기점(Break-even Point)과 한계이익곡선 특성을 통하여 탄력적 관리한계(Elastic Control Limit : ECL)를 구축하고자 하였다. 탄력적 관리한계와 한계이익곡선의 관계에서 중심선은 최대이익, $3{sigma}$한계는 최대이익점과 가장 근접해 있는 (상위/하위)손익분기점까지의 거리로 파악할 수 있다. 그리고 총 변동은 {상위손익분기점(UBEP) - 하위손익분기점(LBEP)}으로 고려할 수 있다. 전개 과정으로서는 1. 각 제품별 수명주기(PLC)를 각 단계별로 구분한다. 2. 각 단계별 총이익곡선(TRC)과 총비용곡선(TCC)을 구한다. 3. 한계이익곡선상의 최대이익지점을 구한다. 이러한 연구는 제품성장단계별 평균과 분산의 변동을 동시에 고려하여 탄력적 관리가 가능하다는 장점이 있다. 나아가 마케팅과 소비자 행동의 분석으로 확대될 수 있다.

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The Development of SPC System by the use of Graphic Program (그래픽프로그램을 이용한 SPC 시스템 개발)

  • 이관훈;송병석;천성일;장현덕;홍원식;김경묵;오영환
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.04a
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    • pp.123-129
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    • 2000
  • SPC is the quality improvement technique of gathering since Motorola of U.S.A. have used SPC technique as a statistical process control method for promoting 6-sigma quality improvement strategy in 1988. In Korea, small and medium-sized enterprises are needed building of a system for statistical production control . In the present study, the methods of building SPC system with a moderate cost using a graphic programs of easy-to-use and high flexibility for small and medium-sized enterprises were inquired. The SPC system which enables statistic marking (maximum, minimum, mean, standard deviation, process capability index) and graph marking (X-Y coordinates and histogram) using LabVIEW 5.0, the graphic program by National Instrument Co., Ltd. was implemented in this study.

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Prediction of the compressive strength of fly ash geopolymer concrete using gene expression programming

  • Alkroosh, Iyad S.;Sarker, Prabir K.
    • Computers and Concrete
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    • v.24 no.4
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    • pp.295-302
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    • 2019
  • Evolutionary algorithms based on conventional statistical methods such as regression and classification have been widely used in data mining applications. This work involves application of gene expression programming (GEP) for predicting compressive strength of fly ash geopolymer concrete, which is gaining increasing interest as an environmentally friendly alternative of Portland cement concrete. Based on 56 test results from the existing literature, a model was obtained relating the compressive strength of fly ash geopolymer concrete with the significantly influencing mix design parameters. The predictions of the model in training and validation were evaluated. The coefficient of determination ($R^2$), mean (${\mu}$) and standard deviation (${\sigma}$) were 0.89, 1.0 and 0.12 respectively, for the training set, and 0.89, 0.99 and 0.13 respectively, for the validation set. The error of prediction by the model was also evaluated and found to be very low. This indicates that the predictions of GEP model are in close agreement with the experimental results suggesting this as a promising method for compressive strength prediction of fly ash geopolymer concrete.