• Title/Summary/Keyword: least squares

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Mass Estimation of a Permanent Magnet Linear Synchronous Motor by the Least-Squares Algorithm (선형 영구자석 동기전동기의 최소자승법을 적용한 질량 추정)

  • Lee, Jin-Woo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.11 no.2
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    • pp.159-163
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    • 2006
  • In order to tune the speed controller in the linear servo applications an accurate information of a mover mass including a load mass is always required. This paper suggests the mass estimation method of a permanent magnet linear synchronous motor(PMLSM) 4y using the parameter estimation method of Least-Squares algorithm. First, the deterministic autoregressive moving average(DARMA) model of the mechanical dynamic system is derived. Then the application of the Least-Squares algorithm shows that the mass can be accurately estimated both in the simulation results and in the experimental results.

An Equivariant and Robust Estimator in Multivariate Regression Based on Least Trimmed Squares

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.1037-1046
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    • 2003
  • We propose an equivariant and robust estimator in multivariate regression model based on the least trimmed squares (LTS) estimator in univariate regression. We call this estimator as multivariate least trimmed squares (MLTS) estimator. The MLTS estimator considers correlations among response variables and it can be shown that the proposed estimator has the appropriate equivariance properties defined in multivariate regression. The MLTS estimator has high breakdown point as does LTS estimator in univariate case. We develop an algorithm for MLTS estimate. Simulation are performed to compare the efficiencies of MLTS estimate with coordinatewise LTS estimate and a numerical example is given to illustrate the effectiveness of MLTS estimate in multivariate regression.

Robust Least Squares Motion Deblurring Using Inertial Sensor for Strapdown Image IR Sensors (스트랩다운 적외선 영상센서를 위한 관성센서 기반 강인최소자승 움직임 훼손영상 복원 기법)

  • Kim, Ki-Seung;Ra, Sung-Woong
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.314-320
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    • 2012
  • This paper proposes a new robust motion deblurring filter using the inertial sensor measurements for strapdown image IR applications. With taking the PSF measurement error into account, the motion blurred image is modeled by the linear uncertain state space equation with the noise corrupted measurement matrix and the stochastic parameter uncertainty. This motivates us to solve the motion deblurring problem based on the recently developed robust least squares estimation theory. In order to suppress the ringing effect on the deblurred image, the robust least squares estimator is slightly modified by adoping the ridge-regression concept. Through the computer simulations using the actual IR scenes, it is demonstrated that the proposed algorithm shows superior and reliable motion deblurring performance even in the presence of time-varying motion artifact.

Application of Pulse Pile-Up Correction Spectrum to the Library Least-Squares Method (펄스 중첩 보정 스펙트럼의 라이브러리 최소자승법에의 이용)

  • Lee, Sang-Hoon
    • Journal of Radiation Protection and Research
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    • v.31 no.4
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    • pp.173-179
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    • 2006
  • The Monte Carlo simulation code CEARPPU has been developed and updated to provide pulse pile-up correction spectra for high counting rate cases. For neutron activation analysis, CEARPPU correction spectra were used in library least-squares method to give better isotopic activity results than the convention library least-squares fitting with uncorrected spectra.

A Study on the Adaptive Scheme Using Least-Squares Meshfree Method (최소 제곱 무요소법을 이용한 적응 기법에 관한 연구)

  • Park, Sang-Hun;Gwon, Gi-Chan;Yun, Seong-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1849-1858
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    • 2002
  • An h-adaptive scheme of first-order least-squares meshfree method is presented. A posteriori error estimates, which can be readily computed from the residual, are also presented. For elliptic problem the error indicators are further improved by applying the Aubin-Nitsche method. In the proposed refinement scheme, Voronoi cells are utilized to insert nodes at appropriate positions. Through numerical examples, it is demonstrated that the error indicators reveal good correlations with the actual errors and the adaptive first-order least-squares meshfree method is effectively applied to the localized problems such as the shock formation in fluid dynamics.

Closed-form Nonlinear Least-Squares Source Localization from Time-Difference of Arrival Measurements in Planar Space (평면공간에서 다중 센서간 도달 시간차를 이용한 해석적인 최소제곱오차 음원 위치 추정 방법)

  • Shin, Dong-Hoon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.4
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    • pp.694-699
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    • 2011
  • A closed-form technique is presented for estimating a single source location from a set of noisy time delay measurements between distributed sensors. The localization formula is derived from nonlinear least squares minimization over the unknowns of target range and bearing in polar coordinates. Computer simulation results are provided for the purpose of performance analysis. Constrained least squares minimization method with prior source location information is also discussed.

Estimation of the Separate Primary and Secondary Leakage Inductances of a Y-Δ Transformer Using Least Squares Method

  • Kang, Yong-Cheol;Lee, Byung-Eun;Hwang, Tae-Keun
    • Journal of Electrical Engineering and Technology
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    • v.5 no.4
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    • pp.538-544
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    • 2010
  • This paper proposes an estimation algorithm for the separate primary and secondary leakage inductances of a three phase $Y-\Delta$ transformer using least squares method. The voltage equations from the primary and secondary windings are combined into a differential equation to estimate the separate primary and secondary leakage inductances in order to use the line current of the delta winding. Separate primary and secondary leakage inductances are obtained by applying least squares method to the differential equation. The performance of the proposed algorithm is validated under transient states, such as magnetic inrush and overexcitation, as well as in the steady state with various cut-off frequencies of low-pass filter. The proposed technique can accurately generate separate leakage inductances both in the steady and transient states.

A Study on the Minimum Zone Algorithm for the Calculation of Roundness (진원도 계산을 위한 Minimum Zone 알고리즘 연구)

  • 이응석;김종길;신양기
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.7
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    • pp.156-161
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    • 2000
  • Least Squares and Minimum Zone method are known for obtaining a datum or a continuous approximate function of measured data. This study is for a Minimum Zone algorithm for a circle, which is useful to obtain the exact roundness from the reference circle of measured data. The proposed method is compared with the Least Squares Limacon method and Chrystal-Peirce algorithm. A computational algorithm for the Minimum Zone circle is suggested and results in less roundness than the other two methods. This Minimum Zone circle method will be used for other geometrical measured data, such as plane or sphere for obtaining the exact flatness or sphericity.

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Flaw Detection in Ceramics using Hough transform and Least squares

  • Hong, Dong-Jin;Cha, Eui-Young
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.10
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    • pp.23-29
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    • 2015
  • In this paper, we suggest a method of detecting defects by applying Hough transform and least squares on ceramic images obtained from non-destructive testing. In the ceramic images obtained from non-destructive testing, the background area, where the defect does not exist, commonly show gradual change of luminosity in vertical direction. In order to extract the background area which is going to be used in the detection of defects, Hough transform is performed to rotate the ceramic image in a way that the direction of overall luminosity change lies in the vertical direction as much as possible. Least squares are then applied on the rotated image to approximate the contrast value of the background area. The extracted background area is used for extracting defects from the ceramic images. In this paper we applied this method on ceramic images acquired from non-destructive testing. It was confirmed that extracted background area could be effectively applied for searching the section where the defect exists and detecting the defect.

Mixture Filtering Approaches to Blind Equalization Based on Estimation of Time-Varying and Multi-Path Channels

  • Lim, Jaechan
    • Journal of Communications and Networks
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    • v.18 no.1
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    • pp.8-18
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    • 2016
  • In this paper, we propose a number of blind equalization approaches for time-varying andmulti-path channels. The approaches employ cost reference particle filter (CRPF) as the symbol estimator, and additionally employ either least mean squares algorithm, recursive least squares algorithm, or $H{\infty}$ filter (HF) as a channel estimator such that they are jointly employed for the strategy of "Rao-Blackwellization," or equally called "mixture filtering." The novel feature of the proposed approaches is that the blind equalization is performed based on direct channel estimation with unknown noise statistics of the received signals and channel state system while the channel is not directly estimated in the conventional method, and the noise information if known in similar Kalman mixture filtering approach. Simulation results show that the proposed approaches estimate the transmitted symbols and time-varying channel very effectively, and outperform the previously proposed approach which requires the noise information in its application.