• Title/Summary/Keyword: Error level

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Precise Orbit Determination Based on the Unscented Transform for Optical Observations

  • Hwang, Hyewon;Lee, Eunji;Park, Sang-Young
    • Journal of Astronomy and Space Sciences
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    • v.36 no.4
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    • pp.249-264
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    • 2019
  • In this study, the precise orbit determination (POD) software is developed for optical observation. To improve the performance of the estimation algorithm, a nonlinear batch filter, based on the unscented transform (UT) that overcomes the disadvantages of the least-squares (LS) batch filter, is utilized. The LS and UT batch filter algorithms are verified through numerical simulation analysis using artificial optical measurements. We use the real optical observation data of a low Earth orbit (LEO) satellite, Cryosat-2, observed from optical wide-field patrol network (OWL-Net), to verify the performance of the POD software developed. The effects of light travel time, annual aberration, and diurnal aberration are considered as error models to correct OWL-Net data. As a result of POD, measurement residual and estimated state vector of the LS batch filter converge to the local minimum when the initial orbit error is large or the initial covariance matrix is smaller than the initial error level. However, UT batch filter converges to the global minimum, irrespective of the initial orbit error and the initial covariance matrix.

NUMBER OF CYCLES IN EVOLUTIONARY OPERATION

  • Lim, Yong-B.;Park, Sung-H.
    • Journal of the Korean Statistical Society
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    • v.36 no.2
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    • pp.201-208
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    • 2007
  • Evolutionary operation (EVOP) proposed by Box (1957) is a method for continuous monitoring and improvement of a full-scale manufacturing process with the objective of moving the operating conditions toward the better ones. EVOP consists of systematically making small changes in the levels of the two or three process variables under consideration. Data are collected on the response variable at each point of two level factorial design with the center point and a cycle is said to have been completed. The cycles are replicated sequentially until the decision is made on whether further cycle of experiments is needed to conclude the significance of any of main effects or interaction effects or the curvature. In this paper, an improved flow chart of EVOP is proposed and how to determine the number of cycles is studied based on the size of type II error. In order to reject the alternative hypothesis of interests with more confidence and conclude that we believe in the null hypothesis of no effects, we propose a counter measure $p^*-value$ corresponding to the p-value. The relationship of $p^*-value$ to the probability of type II error ${\beta}$ under the alternative hypothesis of interests is analogous to that of p-value to the probability of type I error ${\alpha}$. Also the implementation of EVOP with a mixture experiment is discussed.

Adjustable Multiple Relay Selection Based on Steady-State Mean Square Joint Error for Cooperative Communication

  • Liu, Zhiyong;Zhang, Qinyu;Mu, Liwei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.9
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    • pp.4326-4341
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    • 2016
  • In this paper, an adjustable multiple relay selection (MRS) scheme for cooperative communication with amplify-and-forward (AF) relay under frequency selective channels is proposed. In the proposed scheme, the relays are ordered firstly by the steady-state mean square error (MSE), then the relays are sequentially selected out from N relays and the number of cooperating relays is adjusted dynamically according to the steady-state mean square joint error (MSJE). The aim of this work is to dynamically estimate the optimum number No of cooperating relays. Optimum means the minimum number of cooperating relays, No, achieving the minimum level of steady-state MSJE. Numerical results verify the analyses and show that the scheme can adaptively adjust the number of cooperating relays, and outperform conventional relay selection schemes. Hence, the proposed scheme provides better tradeoff between BER performance and spectral efficiency and to save more energy in cooperative wireless networks.

Study on the Transmission Error Prediction for a Spur Gear Pair (스퍼기어의 전달오차에 관한 연구)

  • Zhang, Qi;Zhang, Jing;Zhu, Zhong Gang;Wang, Zhen Rong;Xu, Zhe-zhu;Lyu, Sung Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.2
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    • pp.109-114
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    • 2016
  • Nowadays, lower gear vibration and noise are necessary for drivers in automotive gearbox, which means that transmission gearbox should be optimized to avoid noise annoyance and fatigue before quantity production. Transmission error (T.E.) is the excitation factor that affects the noise level known as gear whine, and is also the dominant source of noise in the gear transmission system. In this paper, the research background, the definition of T.E. and gear micro-modification were firstly presented, and then different transmission errors of loaded torques for the spur gear pair were studied and compared by a commercial software. It was determined that the optimum gear micro-modification could be applied to optimize the transmission error of the loaded gear pair. In the future, a transmission test rig which is introduced in this paper is about to be used to study the T.E. after gear micro-geometry modification. And finally, the optimized modification can be verified by B&K testing equipment in the semi-anechoic room later.

A Comparison of the Proprioception of the Knee Joint at Different Conditions in 20 Years of Age (20대 연령에서 다양한 조건에 따른 슬관절의 고유수용성 감각 비교)

  • Kwon, Oh-Yun;Choi, Houng-Sik
    • Journal of Korean Physical Therapy Science
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    • v.3 no.3
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    • pp.15-23
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    • 1996
  • The purpose of this study to evaluate and compare the proprioception of the dominant knee joint at different conditions in normal 20 years of age. The pripriocption was measured at sitting, supine, prone position with the eyes opened and the eyes closed. All were assessed with and without a knee brace around the knee by reproduction the position to which a joint has previously been placed. In this study, 24 rehabilitation therapy major students were assessed at Hansoe University. In this study applied the paired t-test and 1-way ANOVA to determine the statistical significance of results at 0.05 level of significance. The error average of proprioception was $4.65{\pm}2.95^{\circ}$ with the eyes closed and $4.08{\pm}1.14^{\circ}$ with the eyes opened in sitting position, $5.56{\pm}3.18^{\circ}$ with the eyes closed and $4.98{\pm}2.99^{\circ}$ with the eyes opened in supine position and $5.60{\pm}1.64^{\circ}$ with the eyes closed and $4.87{\pm}2.16^{\circ}$ with the eyes opened in prone position. There was no significantly difference the error average between the eyes opened group and the eyes closed group. There was no significantly difference the error average among the three positions. The error average decreased significantly in knee brace group at all conditions.

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A Research for the Development of the Transmission Error Measuring System and Transmission Error Specification for the Gear Noise Quality (기어 소음 품질 안정화를 위한 전달오차 측정 시스템 개발 및 전달오차 스펙 개발에 대한 연구)

  • Lee, Sang Hwa;Lee, Hyun Ku;Kang, Seok Chan;Kim, Si Yoong;Yoo, Dong Kyu;Won, Kwang Min;Chae, Geum Muk;Lee, Tae Hwi
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.6
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    • pp.470-475
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    • 2014
  • In the past, transmission error(T.E.) has been identified as one of the main sources of gear whine noise, which cause serious passengers irritation at high frequency. In this study, to identify the correlation of the T.E. and gear whine noise, a T.E. measuring system was developed. By comparing the T.E. and gear whine noise level, T.E. target value which can represent the gear noise was proposed. The conclusions are followed: (I) It is possible to measure T.E. of the gear pairs (II) Similar trends are observed between T.E. and gear whine noise. (III) By observing the T.E. pattern, presence of sideband noise can be predicted. (IV) Proposed T.E. target value can be adopted to the gear manufacturing for gear noise quality management.

Adaptive Mesh Refinement Using Viscous Adjoint Method for Single- and Multi-Element Airfoil Analysis

  • Yamahara, Toru;Nakahashi, Kazuhiro;Kim, Hyoungjin
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.4
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    • pp.601-613
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    • 2017
  • An adjoint-based error estimation and mesh adaptation study is conducted for two-dimensional viscous flows on unstructured hybrid meshes. The error in an integral output functional of interest is estimated by a dot product of the residual vector and adjoint variable vector. Regions for the mesh to be adapted are selected based on the amount of local error at each nodal point. Triangular cells in the adaptive regions are refined by regular refinement, and quadrangular cells near viscous walls are bisected accordingly. The present procedure is applied to single-element airfoils such as the RAE2822 at a transonic regime and a diamond-shaped airfoil at a supersonic regime. Then the 30P30N multi-element airfoil at a low subsonic regime with a high incidence angle (${\alpha}=21deg.$) is analyzed. The same level of prediction accuracy for lift and drag is achieved with much less mesh points than the uniform mesh refinement approach. The detailed procedure of the adjoint-based mesh refinement for the multi-element airfoil case show that the basic flow features around the airfoil should be resolved so that the adjoint method can accurately estimate an output error.

STABLE APPROXIMATION OF THE HEAT FLUX IN AN INVERSE HEAT CONDUCTION PROBLEM

  • Alem, Leila;Chorfi, Lahcene
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.1025-1037
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    • 2018
  • We consider an ill-posed problem for the heat equation $u_{xx}=u_t$ in the quarter plane {x > 0, t > 0}. We propose a new method to compute the heat flux $h(t)=u_x(1,t)$ from the boundary temperature g(t) = u(1, t). The operator $g{\mapsto}h=Hg$ is unbounded in $L^2({\mathbb{R}})$, so we approximate h(t) by $h_{\delta}(t)=u_x(1+{\delta},\;t)$, ${\delta}{\rightarrow}0$. When noise is present, the data is $g_{\epsilon}$ leading to a corresponding heat $h_{{\delta},{\epsilon}}$. We obtain an estimate of the error ${\parallel}h-h_{{\delta},{\epsilon}}{\parallel}$, as well as the error when $h_{{\delta},{\epsilon}}$ is approximated by the trapezoidal rule. With an a priori choice rule ${\delta}={\delta}({\epsilon})$ and ${\tau}={\tau}({\epsilon})$, the step size of the trapezoidal rule, the main theorem gives the error of the heat flux as a function of noise level ${\epsilon}$. Numerical examples show that the proposed method is effective and stable.

Reduction of Fuzzy Rules and Membership Functions and Its Application to Fuzzy PI and PD Type Controllers

  • Chopra Seema;Mitra Ranajit;Kumar Vijay
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.438-447
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    • 2006
  • Fuzzy controller's design depends mainly on the rule base and membership functions over the controller's input and output ranges. This paper presents two different approaches to deal with these design issues. A simple and efficient approach; namely, Fuzzy Subtractive Clustering is used to identify the rule base needed to realize Fuzzy PI and PD type controllers. This technique provides a mechanism to obtain the reduced rule set covering the whole input/output space as well as membership functions for each input variable. But it is found that some membership functions projected from different clusters have high degree of similarity. The number of membership functions of each input variable is then reduced using a similarity measure. In this paper, the fuzzy subtractive clustering approach is shown to reduce 49 rules to 8 rules and number of membership functions to 4 and 6 for input variables (error and change in error) maintaining almost the same level of performance. Simulation on a wide range of linear and nonlinear processes is carried out and results are compared with fuzzy PI and PD type controllers without clustering in terms of several performance measures such as peak overshoot, settling time, rise time, integral absolute error (IAE) and integral-of-time multiplied absolute error (ITAE) and in each case the proposed schemes shows an identical performance.

A Study on Forecast of Oyster Production using Time Series Models (시계열모형을 이용한 굴 생산량 예측 가능성에 관한 연구)

  • Nam, Jong-Oh;Noh, Seung-Guk
    • Ocean and Polar Research
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    • v.34 no.2
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    • pp.185-195
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    • 2012
  • This paper focused on forecasting a short-term production of oysters, which have been farmed in Korea, with distinct periodicity of production by year, and different production level by month. To forecast a short-term oyster production, this paper uses monthly data (260 observations) from January 1990 to August 2011, and also adopts several econometrics methods, such as Multiple Regression Analysis Model (MRAM), Seasonal Autoregressive Integrated Moving Average (SARIMA) Model, and Vector Error Correction Model (VECM). As a result, first, the amount of short-term oyster production forecasted by the multiple regression analysis model was 1,337 ton with prediction error of 246 ton. Secondly, the amount of oyster production of the SARIMA I and II models was forecasted as 12,423 ton and 12,442 ton with prediction error of 11,404 ton and 11,423 ton, respectively. Thirdly, the amount of oyster production based on the VECM was estimated as 10,425 ton with prediction errors of 9,406 ton. In conclusion, based on Theil inequality coefficient criterion, short-term prediction of oyster by the VECM exhibited a better fit than ones by the SARIMA I and II models and Multiple Regression Analysis Model.