• 제목/요약/키워드: Covariance matrix estimation

검색결과 151건 처리시간 0.022초

최적 공분산 가중 벡터를 이용한 상관성 간섭 신호 추정의 빔 지향 오차 (A Study on Beam Error Method of Coherent Interference Signal Estimation using Optimum Covariance Weight Vector)

  • 조성국;이준동;전병국
    • 디지털산업정보학회논문지
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    • 제10권4호
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    • pp.53-61
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    • 2014
  • In this paper, we proposed covariance weight matrix using SPT matrix in order to accurate target estimation. We have estimated a target using modified covariance matrix and beam steering error method. We have minimized beam steering error in order to estimation desired a target. This method obtain optimum covariance weight using modified SPT matrix. This paper of proposal method is showed good performance than general method. We updated a weight of covariance matrix using modified SPT matrix. We obtain optimum covariance matrix weight to application beam steering error method in order to beam steering toward desired target. Through simulation, we showed that compare proposal method with general method. It have improved resolution of estimation target to good performance more proposed method than general method.

A Covariance Matrix Estimation Method for Position Uncertainty of the Wheeled Mobile Robot

  • Doh, Nakju Lett;Chung, Wan-Kyun;Youm, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1933-1938
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    • 2003
  • A covariance matrix is a tool that expresses odometry uncertainty of the wheeled mobile robot. The covariance matrix is a key factor in various localization algorithms such as Kalman filter, topological matching and so on. However it is not easy to acquire an accurate covariance matrix because we do not know the real states of the robot. Up to the authors knowledge, there seems to be no established result on the covariance matrix estimation for the odometry. In this paper, we propose a new method which can estimate the covariance matrix from empirical data. It is based on the PC-method and shows a good estimation ability. The experimental results validate the performance of the proposed method.

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Bayesian Modeling of Random Effects Covariance Matrix for Generalized Linear Mixed Models

  • Lee, Keunbaik
    • Communications for Statistical Applications and Methods
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    • 제20권3호
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    • pp.235-240
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    • 2013
  • Generalized linear mixed models(GLMMs) are frequently used for the analysis of longitudinal categorical data when the subject-specific effects is of interest. In GLMMs, the structure of the random effects covariance matrix is important for the estimation of fixed effects and to explain subject and time variations. The estimation of the matrix is not simple because of the high dimension and the positive definiteness; subsequently, we practically use the simple structure of the covariance matrix such as AR(1). However, this strong assumption can result in biased estimates of the fixed effects. In this paper, we introduce Bayesian modeling approaches for the random effects covariance matrix using a modified Cholesky decomposition. The modified Cholesky decomposition approach has been used to explain a heterogenous random effects covariance matrix and the subsequent estimated covariance matrix will be positive definite. We analyze metabolic syndrome data from a Korean Genomic Epidemiology Study using these methods.

Covariance Matrix Synthesis Using Maximum Ratio Combining in Coherent MIMO Radar with Frequency Diversity

  • Jeon, Hyeonmu;Chung, Yongseek;Chung, Wonzoo;Kim, Jongmann;Yang, Hoongee
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.445-450
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    • 2018
  • Reliable detection and parameter estimation of a radar cross section(RCS) fluctuating target have been known as a difficult task. To reduce the effect of RCS fluctuation, various diversity techniques have been considered. This paper presents a new method for synthesizing a covariance matrix applicable to a coherent multi-input multi-output(MIMO) radar with frequency diversity. It is achieved by efficiently combining covariance matrices corresponding to different carrier frequencies such that the signal-to-noise ratio(SNR) in the combined covariance matrix is maximized. The value of a synthesized covariance matrix is assessed by examining the phase curves of its entries and the improvement on direction of arrival(DOA) estimation.

원형어레이에서의 새로운 어레이 공분산 행렬 추정 방법 (A new metchod for estimating array covariance matrix in circular array)

  • 김영수;김영수;김창주;박한규;최상삼
    • 한국통신학회논문지
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    • 제22권7호
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    • pp.1534-1542
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    • 1997
  • In this paper, we present a performance improvement method for the direction-of-arrival (DOA) estimation algorithm of the narrowband signals incident on a uniform circular array. It is very important to estimate the covariance matrix effectively because the performance of DOA algorithm mainly depends on the exactness of the sampel coveriance matrix which is computed from the received samples of signals. In case of uniform circular array with the even number sensors, the structure of the arrray has a useful geometrical property. Therefore we present the method which can estimate covariance matrix more effectively using this property. The simulation results are shown to demonstrate the superior perfodrmance obtained by the proposed covariance matrix estimation method relative to that of the conventional estimation method.

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근사 공분산 행렬을 이용한 빠른 입사각 추정 알고리듬 (Fast DOA Estimation Algorithm using Pseudo Covariance Matrix)

  • 김정태;문성훈;한동석;조명제;김정구
    • 대한전자공학회논문지TC
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    • 제40권1호
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    • pp.15-23
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    • 2003
  • 본 논문에서는 입사 신호의 근사 공분산 행렬을 이용하여 신호의 입사각을 빠르게 추정하는 입사각 추정 알고리듬을 제안한다. MUSIC(MUltiple Signal Classification) 알고리듬과 같은 기존의 부분공간 입사각 추정 알고리듬은 입력 공분산 행렬을 구하기 위해서 다수의 표본 신호를 필요로 하며, 입력 공분산 행렬을 획득하기 위한 표본 신호의 수신시간 동안 입사각 추정이 수행될 수 없으므로 빠른 신호처리가 불가능하다. 또한 코히어런트 신호가 입사하는 경우에 코히어런트 신호간의 간섭으로 신호의 입사각을 정확하게 추정할 수 없다. 제안한 입사각 추정 알고리듬은 빔 형성기를 이용하여 매 표본 신호의 공간적인 빔 형성을 먼저 수행하여 신호간의 간섭을 제거한 후에 센서의 출력 값을 이용하여 방위각 응답(bearing response)과 방향 스펙트럼(directional spectrum)을 구한다. 방위각 응답으로 대략적인 신호의 입사각을 추정한 후에 방향 스펙트럼을 이용하여 정착하게 신호의 입사각을 추정한다. 제안 입사각 추정 알고리듬은 공분산 행렬을 구하기 위하여 그 순간의 각 어레이 소자에 입사되는 표본 신호만을 사용하고 방위각 응답을 구하기 위해서 몇 순간 동안의 표본 신호만 필요로 하므로 기존 입사각 추정 알고리듬에 비하여 크게 향상된 입사각 추정 속도를 갖는다.

A Cholesky Decomposition of the Inverse of Covariance Matrix

  • Park, Jong-Tae;Kang, Chul
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.1007-1012
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    • 2003
  • A recursive procedure for finding the Cholesky root of the inverse of sample covariance matrix, leading to a direct solution for the inverse of a positive definite matrix, is developed using the likelihood equation for the maximum likelihood estimation of the Cholesky root under normality assumptions. An example of the Hilbert matrix is considered for an illustration of the procedure.

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고유치분해가 필요없는 방위각 추정 알고리듬에서 센서신호의 선택기준 (A criterion for selecting sensor outputs in bearing estimation algorithm without eigendecomposition)

  • 정대원;박상배;이균경
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.70-75
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    • 1993
  • The performance of the BEWE(Bearing Estimation Without Eigendecomposition) algorithm depends on the sensor outputs which are selected to construct the projection matrix. In this paper, we construct the covariance matrix of the bearing estimates for two targets and propose the criterion to select the sensor outputs which minimize the covariance matrix. The computer simulation conforms that the estimation error is smallest when the sensor outputs are selected based on the proposed criterion.

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Signal Estimation Using Covariance Matrix of Mutual Coupling and Mean Square Error

  • Lee, Kwan-Hyeong
    • 한국정보전자통신기술학회논문지
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    • 제11권6호
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    • pp.691-696
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    • 2018
  • We propose an algorithm to update weight to use the mean square error method and mutual coupling matrix in a coherent channel. The algorithm proposed in this paper estimates the desired signal by using the updated weight. The updated weight is obtained by covariance matrix using mean square error and mutual coupling matrix. The MUSIC algorithm, which is direction of arrival estimation method, is mostly used in the desired signal estimation. The MUSIC algorithm has a good resolution because it uses subspace techniques. The proposed method estimates the desired signal by updating the weights using the mutual coupling matrix and mean square error method. Through simulation, we analyze the performance by comparing the classical MUSIC and the proposed algorithm in a coherent channel. In this case of the coherent channel for estimating at the three targets (-10o, 0o, 10o), the proposed algorithm estimates all the three targets (-10o, 0o, 10o). But the classical MUSIC algorithm estimates only one target (x, x, 10o). The simulation results indicate that the proposed method is superior to the classical MUSIC algorithm for desired signal estimation.

공분산 추정방법에 따른 최적자산배분 성과 분석 (Covariance Estimation and the Effect on the Performance of the Optimal Portfolio)

  • 이순희
    • 한국경영과학회지
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    • 제39권4호
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    • pp.137-152
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    • 2014
  • In this paper, I suggest several techniques to estimate covariance matrix and compare the performance of the global minimum variance portfolio (GMVP) in terms of out of sample mean standard deviation and return. As a result, the return differences among the GMVPs are insignificant. The mean standard deviation of the GMVP using historical covariance is sensitive to the estimation window and the number of assets in the portfolio. Among the model covariance, the GMVP using constant systematic risk ratio model or using short sale restriction shows the best performance. The performance difference between the GMVPs using historical covariance and model covariance becomes insignificant as the historical covariance is estimated with longer estimation window. Lastly, the implied volatilities from ELW prices do not lead to superior performance to the historical variance.