• 제목/요약/키워드: Covariance Estimation

검색결과 324건 처리시간 0.021초

자율이동 로봇의 위치추정을 위한 변형된 칼만필터 방식 (Modified Kalman Filter Method for the Position Estimation of an Autonomous Mobile Robot)

  • 엄기환;강성호;김주웅
    • 한국정보통신학회논문지
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    • 제12권4호
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    • pp.781-790
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    • 2008
  • 본 논문에서는 칼만 필터 위치 추정 방식에서 노이즈 공분산에 의해 발산이 되는 문제점을 개선하기 위해 바퀴로 구성된 자율이동 로봇에 노이즈를 고려한 위치추정 방식을 제안하였다. 제안한 방식은 신경회로망을 이용한 변형된 칼만 필터 설계 방식으로, 신경회로망을 이용하여 시스템 노이즈와 측정노이즈의 공분산을 추정함으로서 발산을 방지하는 것이다. 제안한 방식의 유용성을 자체 제작한 자율이동 로봇을 대상으로 시뮬레이션 및 실험을 통하여 칼만 필터 위치 추정 방식 보다 우수함을 확인하였다.

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.

주파수 영역에서 공분산 행렬 fitting 기반 압축센싱 도래각 추정 알고리즘의 성능 (Performance of covariance matrix fitting-based direction-of-arrival estimation algorithm using compressed sensing in the frequency domain)

  • ;백지웅;홍우영;안재균;김성일;이준호
    • 한국음향학회지
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    • 제36권6호
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    • pp.394-400
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    • 2017
  • 본 논문은 기존의 시간영역에서 다루던 공분산 행렬 fitting 기반 도래각 추정 알고리즘인 SpSF(Sparse Spectrum Fitting)를 주파수 영역으로 확장함으로써 기존의 시간영역의 SpSF 알고리즘이 주파수 영역에서도 구현 가능함을 보인다. 기존의 주파수 영역에서 구현되는 도래각 추정 알고리즘과의 성능 분석 및 비교를 통해 압축센싱 기반 공분산 fitting 알고리즘인 SpSF의 우수함을 보여준다.

Comparative Study on Similarity Measurement Methods in CBR Cost Estimation

  • Ahn, Joseph;Park, Moonseo;Lee, Hyun-Soo;Ahn, Sung Jin;Ji, Sae-Hyun;Kim, Sooyoung;Song, Kwonsik;Lee, Jeong Hoon
    • 국제학술발표논문집
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    • The 6th International Conference on Construction Engineering and Project Management
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    • pp.597-598
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    • 2015
  • In order to improve the reliability of cost estimation results using CBR, there has been a continuous issue on similarity measurement to accurately compute the distance among attributes and cases to retrieve the most similar singular or plural cases. However, these existing similarity measures have limitations in taking the covariance among attributes into consideration and reflecting the effects of covariance in computation of distances among attributes. To deal with this challenging issue, this research examines the weighted Mahalanobis distance based similarity measure applied to CBR cost estimation and carries out the comparative study on the existing distance measurement methods of CBR. To validate the suggest CBR cost model, leave-one-out cross validation (LOOCV) using two different sets of simulation data are carried out. Consequently, this research is expected to provide an analysis of covariance effects in similarity measurement and a basis for further research on the fundamentals of case retrieval.

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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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A Space-Time Model with Application to Annual Temperature Anomalies;

  • Lee, Eui-Kyoo;Moon, Myung-Sang;Gunst, Richard F.
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.19-30
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    • 2003
  • Spatiotemporal statistical models are used for analyzing space-time data in many fields, such as environmental sciences, meteorology, geology, epidemiology, forestry, hydrology, fishery, and so on. It is well known that classical spatiotemporal process modeling requires the estimation of space-time variogram or covariance functions. In practice, the estimation of such variogram or covariance functions are computationally difficult and highly sensitive to data structures. We investigate a Bayesian hierarchical model which allows the specification of a more realistic series of conditional distributions instead of computationally difficult and less realistic joint covariance functions. The spatiotemporal model investigated in this study allows both spatial component and autoregressive temporal component. These two features overcome the inability of pure time series models to adequately predict changes in trends in individual sites.

부배열을 이용한 음향벡터센서 선배열의 광대역 적응빔형성기법 (Wideband adaptive beamforming method using subarrays in acoustic vector sensor linear array)

  • 김정수;김창진;이영주
    • 한국음향학회지
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    • 제35권5호
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    • pp.395-402
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    • 2016
  • 본 논문에서는 음향벡터 선배열 센서 기반에서의 광대역 적응빔형성기법을 다룬다. 적응 빔형성을 위하여 안정적인 공분산행렬추정은 매우 중요한 문제이다. 기존의 코히어런트 신호부공간기반의 적응 빔형성기법은 초점조정행렬(focusing matrix) 추정으로 인해 방위각 추정에 오차가 발생하며 또한 공분산행렬 추정을 위하여 많은 데이터 단편을 필요로 한다. 방위각 추정오차 및 공분산 행렬 추정시 필요한 데이터 단편의 수 문제를 완화하기 위하여 음압센서 선배열에 적용된 조향공분산 행렬 기법을 음향벡터 선배열 센서에 확장하여 적용한다. 그리고 부배열 기법을 통하여 공분산행렬의 차원을 줄임으로써 적은 수의 데이터 단편으로 안정적인 공분산행렬 추정이 가능하고 방위각 추정성능을 향상시킨다. 모의 실험을 통하여 기존의 코히어런트 신호 부공간 전처리 기반 광대역 빔형성기법과 제안한 기법의 방위각 추정 성능을 분석한다.

Modified Rodrigues Parameter 기반의 인공위성 관성모멘트 추정 연구 (Spacecraft Moment of Inertial Estimation by Modified Rodrigues Parameters)

  • 방효충
    • 한국항공우주학회지
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    • 제38권3호
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    • pp.243-248
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    • 2010
  • 본 연구에서는 인공위성의 관성 모멘트 추정을 위해 MRP(Modified Rodrigues Parameter) 자세 변수기반의 추정기를 설계하였다. MRP는 인공위성 자세 결정시 쿼터니 언(Quaternion) 파라미터의 구속 조건으로부터 발생하는 필터의 오차 공분산 행렬의 특이(Singularity) 현상을 피할 수 있는 장점이 있다. 한편 MRP의 경우 자세각 변위가 클 경우에 역시 특이현상이 발생할 수 있어 이를 피하기 위해 적절한 자세각 범위에서 인위적인 기준 운동을 생성하여 필터 설계에 적용하였다. 쿼터니언 파라미터의 단점을 극복하여 보다 안정된 오차 공분산 갱신 결과의 필터의 개선된 성능을 예상할 수 있다.

Kalman Filtering with Optimally Scheduled Measurements in Bandwidth Limited Communication Media

  • Pasand, Mohammad Mahdi Share;Montazeri, Mohsen
    • ETRI Journal
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    • 제39권1호
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    • pp.13-20
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    • 2017
  • A method is proposed for scheduling sensor accesses to the shared network in a networked control system. The proposed method determines the access order in which the sensors are granted medium access through minimization of the state estimation error covariance. Solving the problem by evaluating the error covariance for each possible ordered set of sensors is not practical for large systems. Therefore, a convex optimization problem is proposed, which yields approximate yet acceptable results. A state estimator is designed for the augmented system resulting from the incorporation of the optimally chosen communication sequence in the plant dynamics. A car suspension system simulation is conducted to test the proposed method. The results show promising improvement in the state estimation performance by reducing the estimation error norm compared to round-robin scheduling.

Off-grid direction-of-arrival estimation for wideband noncircular sources

  • Xiaoyu Zhang;Haihong Tao;Ziye, Fang;Jian Xie
    • ETRI Journal
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    • 제45권3호
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    • pp.492-504
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    • 2023
  • Researchers have recently shown an increased interest in estimating the direction-of-arrival (DOA) of wideband noncircular sources, but existing studies have been restricted to subspace-based methods. An off-grid sparse recovery-based algorithm is proposed in this paper to improve the accuracy of existing algorithms in low signal-to-noise ratio situations. The covariance and pseudo covariance matrices can be jointly represented subject to block sparsity constraints by taking advantage of the joint sparsity between signal components and bias. Furthermore, the estimation problem is transformed into a single measurement vector problem utilizing the focused operation, resulting in a significant reduction in computational complexity. The proposed algorithm's error threshold and the Cramer-Rao bound for wideband noncircular DOA estimation are deduced in detail. The proposed algorithm's effectiveness and feasibility are demonstrated by simulation results.