• Title/Summary/Keyword: Least-Square Principle

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Prediction Performance of Hybrid Least Square Support Vector Machine with First Principle Knowledge (First Principle을 결합한 최소제곱 Support Vector Machine의 예측 능력)

  • 김병주;심주용;황창하;김일곤
    • Journal of KIISE:Software and Applications
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    • v.30 no.7_8
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    • pp.744-751
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    • 2003
  • A hybrid least square Support Vector Machine combined with First Principle(FP) knowledge is proposed. We compare hybrid least square Support Vector Machine(HLS-SVM) with early proposed models such as Hybrid Neural Network(HNN) and HNN with Extended Kalman Filter(HNN-EKF). In the training and validation stage HLS-SVM shows similar performance with HNN-EKF but better than HNN, whereas, in the testing stage, it shows three times better than HNN-EKF, hundred times better than HNN model.

Multi-Prame MQD-PIV

  • Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • v.17 no.10
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    • pp.1552-1562
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    • 2003
  • In this paper, we propose a new PIV methodology for obtaining a velocity field from a sequence of multiple image data based on a least-square principle (also known as MQD; minimum quadratic difference) for the grey level difference between two neighboring frames of image data. We investigated both the accuracy of the result and the time consumption in the computation. It turns out that the proposed method is not only accurate but fast compared with the conventional correlation PIV techniques. Our method is applied to the spin-up flows and the results show that the method can be a good substitution for the conventional algorithms employed in the existing commercial codes.

Hyperbolic Location Estimation of Aircraft with Motion in a Plane (평면 비행중인 항공기의 쌍곡선 위치 추정 연구)

  • Jo, Sanghoon;Kang, Ja-Young
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.21 no.2
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    • pp.33-39
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    • 2013
  • Multilateration(MLAT) may complement secondary surveillance radar and also act as a real-time backup for the ADS-B system. This System is using time difference of arrival (TDOA) and based on triangulation principle. Each TDOA measurement defines a hyperbola describing possible aircraft locations. The accuracy in MLAT system depends on the positional relationship of the receiver and aircraft. There are various algorithms to localize aircraft based on TOA estimation. In this paper, we use least square method and extended Kalman filter and compare their results. Study results show that the extend Kalman filter provides a better performance than the least square method.

Doppler-shift estimation of flat underwater channel using data-aided least-square approach

  • Pan, Weiqiang;Liu, Ping;Chen, Fangjiong;Ji, Fei;Feng, Jing
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.2
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    • pp.426-434
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    • 2015
  • In this paper we proposed a dada-aided Doppler estimation method for underwater acoustic communication. The training sequence is non-dedicate, hence it can be designed for Doppler estimation as well as channel equalization. We assume the channel has been equalized and consider only flat-fading channel. First, based on the training symbols the theoretical received sequence is composed. Next the least square principle is applied to build the objective function, which minimizes the error between the composed and the actual received signal. Then an iterative approach is applied to solve the least square problem. The proposed approach involves an outer loop and inner loop, which resolve the channel gain and Doppler coefficient, respectively. The theoretical performance bound, i.e. the Cramer-Rao Lower Bound (CRLB) of estimation is also derived. Computer simulations results show that the proposed algorithm achieves the CRLB in medium to high SNR cases.

Time-Varying Parameter Estimation of Passive Telemetry RF Sensor System Using RLS Algorithm (RLS 알고리즘을 이용한 원격 RF 센서 시스템의 시변 파라메타 추정)

  • Kim, Kyung-Yup;Yu, Dong-Gook;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 2007.04c
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    • pp.29-33
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    • 2007
  • In this paper, time-varying parameter of passive telemetry RF sensor system is estimated using RLS(Rescursive $\leq$* Square) algorithm. In order to overcome the problems such as power limits and complication that general RF sensor system including IC chip has, the principle of inductive coupling is applied to model sensor system The model parameter is rearranged for applying RLS algorithm based on mathematical model to the derived model using inductive coupling principle. Time variant parameter of rearranged model is estimated using forgetting factor, and in case measured data is contaminated by noise and modelling error, the performance of RLS algorithm characterized by the convergence of squared error sum is verified by simulation.

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Multi-channel normalized FxLMS algorithm for active noise control (능동 소음 제어를 위한 정규화된 다채널 FxLMS 알고리즘)

  • Chung, Ik Joo
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.4
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    • pp.280-287
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    • 2016
  • In this paper, we propose a normalization algorithm that can be applied to adaptive filters for multi-channel active noise control. The FxLMS (Filtered-x Least Mean Square) algorithm for the single-channel active noise control can be normalized in the same way as the NLMS (Normalized Least Mean Square) algorithm, whereas in case of the multi-channel active noise control, the single-channel normalization for the FxLMS algorithm cannot be extended to the normalization for the multi-channel FxLMS algorithm straightforwardly. First, we adopt a generalized normalization algorithm for the multi-channel FxLMS algorithm based on the principle of minimal disturbance and then, proposed a normalized algorithm considering only diagonal elements to avoid computation for matrix inversion. We carried out performance comparisons of the proposed algorithm with other algorithms without normalization. It is shown that the proposed algorithm presents better convergence characteristics under non-stationary environments.

WHITE NOISE APPROACH TO FEYNMAN INTEGRALS

  • Hida, Takeyuki
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.275-281
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    • 2001
  • The trajectory of a classical dynamics is determined by the least action principle. As soon as we come to quantum dynamics, we have to consider all possible trajectories which are proposed to be a sum of the classical trajectory and Brownian fluctuation. Thus, the action involves the square of the derivative B(t) (white noise) of a Brownian motion B(t). The square is a typical example of a generalized white noise functional. The Feynman propagator should therefore be an average of a certain generalized white noise functional. This idea can be applied to a large class of dynamics with various kinds of Lagrangians.

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A Study on Range Finding Using Camera Image (카메라 영상에 의한 물체와의 거리 측정에 관한 연구)

  • Kim, Seung-Tai;Lee, Jong-Hun;Kim, Do-Sung;Lee, Myoung-Ho
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.415-420
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    • 1989
  • This thesis deals with range finding using one camera and laser pointer. Range finding will be used further recognition of the image, that is, range image which allows further segmentation of the scene. In the first step, camera modeling is performed by camera calibration which executes least square fit. Least square fit uses the method of sigular value decomposition. And perspective transform of camera is obtained. Lastly range finding is performed by triangulation principle. The result of this algorithm are displayed.

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A New Orthogonal Signal Generator with DC Offset Rejection for Single-Phase Phase Locked Loops

  • Huang, Xiaojiang;Dong, Lei;Xiao, Furong;Liao, Xiaozhong
    • Journal of Power Electronics
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    • v.16 no.1
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    • pp.310-318
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    • 2016
  • This paper presents a new orthogonal signals generator (OSG) with DC Offset rejection for implementing a phase locked loop (PLL) in single-phase grid-connected power systems. An adaptive filter (AF) based on the least mean square (LMS) algorithm is used to constitute the OSG in this study. The DC offset in the measured grid voltage signal can be significantly rejected in the developed OSG technique. This generates two pure orthogonal signals that are free from the DC offset. As a result, the DC offset rejection performance of the presented single-phase phase locked loop (SPLL) can be enhanced. A mathematical model of the developed OSG and the principle of the adaptive filter based SPLL (AF-SPLL) are presented in detail. Finally, simulation and experimental results demonstrate the feasibility of the proposed AF-SPLL.

Lattice Algorithms for Order Determination of AR, ARMA Models By PLS (PLS를 이용한 AR, ARMA 모델의 차수 결정을 위한 격자 알고리즘)

  • 김현표;정찬수;양홍식
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.225-230
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    • 1988
  • In this paper, a new method for determining the order of AR, ARMA processes based on PLS (predictive least square) principle is proposed, This method using modified lattice algorithm which has additional step is amenable to on-line or adaptive operation and is more accurate than any other mpthod. Some computer simulations are presented to show the efficiency of the proposed algorithms.

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