• 제목/요약/키워드: Error Matrix

검색결과 1,052건 처리시간 0.024초

선형 행렬 부등식을 이용한 준최적 강인 칼만 필터의 설계 (Design of Suboptimal Robust Kalman Filter via Linear Matrix Inequality)

  • 진승희;윤태성;박진배
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.560-570
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    • 1999
  • This paper formulates the suboptimal robust Kalman filtering problem into two coupled Linear Matrix Inequality (LMI) problems by applying Lyapunov theory to the augmented system which is composed of the state equation in the uncertain linear system and the estimation error dynamics. This formulations not only provide the sufficient conditions for the existence of the desired filter, but also construct the suboptimal robust Kalman filter. The proposed filter can guarantee the optimized upper bound of the estimation error variance for uncertain systems with parametric uncertainties in both the state and measurement matrices. In addition, this paper shows how the problem of finding the minimizing solution subject to Quadratic Matrix Inequality (QMI), which cannot be easily transformed into LMI using the usual Schur complement formula, can be successfully modified into a generic LMI problem.

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불안정한 다변수 시스템에 대한 퍼지 학습제어 (Fuzzy Learning Control for Multivariable Unstable System)

  • 임윤규;정병묵;소범식
    • 제어로봇시스템학회논문지
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    • 제5권7호
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    • pp.808-813
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    • 1999
  • A fuzzy learning method to control an unstable and multivariable system is presented in this paper, Because the multivariable system has generally a coupling effect between the inputs and outputs, it is difficult to find its modeling equation or parameters. If the system is unstable, initial condition rules are needed to make it stable because learning is nearly impossible. Therefore, this learning method uses the initial rules and introduces a cost function composed of the actual error and error-rate of each output without the modeling equation. To minimize the cost function, we experimentally got the Jacobian matrix in the operating point of the system. From the Jacobian matrix, we can find the direction of the convergence in the learning, and the optimal control rules are finally acquired when the fuzzy rules are updated by changing the portion of the errors and error rates.

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Singular Value Decomposition Approach to Observability Analysis of GPS/INS

  • Hong, Sin-Pyo;Chun, Ho-Hwan
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.1
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    • pp.133-138
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    • 2006
  • Singular value decomposition (SDV) approach is applied to the observability analysis of GPS/INS in this paper. A measure of observability for a subspace is introduced. It indicates the minimum size of perturbation in the information matrix that makes the subspace unobservable. It is shown that the measure has direct connections with observability of systems, error covariance, and singular structure of the information matrix. The observability measure given in this paper is applicable to the multi-input/multi-output time-varying systems. An example on the observability analysis of GPS/INS is given. The measure of observability is confirmed to be less sensitive to system model perturbation. It is also shown that the estimation error for the vertical component of gyro bias can be considered unobservable for small initial error covariance for a constant velocity horizontal motion.

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ERROR REDUCTION FOR HIGHER DERIVATIVES OF CHEBYSHEV COLLOCATION METHOD USING PRECONDITIONSING AND DOMAIN DECOMPOSITION

  • Darvishi, M.T.;Ghoreishi, F.
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.523-538
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    • 1999
  • A new preconditioning method is investigated to reduce the roundoff error in computing derivatives using Chebyshev col-location methods(CCM). Using this preconditioning causes ration of roundoff error of preconditioning method and CCm becomes small when N gets large. Also for accuracy enhancement of differentiation we use a domain decomposition approach. Error analysis shows that for this domain decomposition method error reduces proportional to the length of subintervals. Numerical results show that using domain decomposition and preconditioning simultaneously gives super accu-rate approximate values for first derivative of the function and good approximate values for moderately high derivatives.

Efficient Implementation of Single Error Correction and Double Error Detection Code with Check Bit Pre-computation for Memories

  • Cha, Sanguhn;Yoon, Hongil
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제12권4호
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    • pp.418-425
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    • 2012
  • In this paper, efficient implementation of error correction code (ECC) processing circuits based on single error correction and double error detection (SEC-DED) code with check bit pre-computation is proposed for memories. During the write operation of memory, check bit pre-computation eliminates the overall bits computation required to detect a double error, thereby reducing the complexity of the ECC processing circuits. In order to implement the ECC processing circuits using the check bit pre-computation more efficiently, the proper SEC-DED codes are proposed. The H-matrix of the proposed SEC-DED code is the same as that of the odd-weight-column code during the write operation and is designed by replacing 0's with 1's at the last row of the H-matrix of the odd-weight-column code during the read operation. When compared with a conventional implementation utilizing the odd-weight- column code, the implementation based on the proposed SEC-DED code with check bit pre-computation achieves reductions in the number of gates, latency, and power consumption of the ECC processing circuits by up to 9.3%, 18.4%, and 14.1% for 64 data bits in a word.

Errors in Isotope Dilution Caused by Matrix-induced Mass Bias Effect in Quadrupole Inductively Coupled Plasma-Mass Spectrometry

  • Pak, Yong-Nam
    • Bulletin of the Korean Chemical Society
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    • 제35권12호
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    • pp.3482-3488
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    • 2014
  • Matrix-induced mass bias and its effect on the accuracy of isotope ratio measurements have been examined for a quadrupole-based inductively coupled plasma-mass spectrometer (Q ICP-MS). Matrix-induced mass bias effect was directly proportional to % mass difference, and its magnitude varied for element and nebulizer flow rate. For a given element and conditions in a day, the effect was consistent. The isotope ratio of Cd106/Cd114 under $200{\mu}g\;g^{-1}$ U matrix deviated from the natural value significantly by 3.5%. When Cd 111 and Cd114 were used for the quantification of Cd with isotope dilution (ID) method, the average of differences between the calculated and measured concentrations was -0.034% for samples without matrix ($0.076{\mu}g\;g^{-1}$ to $0.21{\mu}g\;g^{-1}$ for the period of 6 months). However, the error was as large as 1.5% for samples with $200{\mu}g\;g^{-1}$ U. The error in ID caused by matrix could be larger when larger mass difference isotopes are used.

다중 사용자 MIMO 방송 채널을 위한 $S^{2}MMSE$ 프리코딩 ($S^{2}MMSE$ Precoding for Multiuser MIMO Broadcast Channels)

  • 이민;오성근
    • 한국통신학회논문지
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    • 제33권12A호
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    • pp.1185-1190
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    • 2008
  • 이 논문에서는 IST (information society technologies)-WINNER (wireless world initiative new radio) 프로젝트에서 MU-MIMO (multiuser multiple-input multiple-output) 프리코딩 방식으로 채택된 SMMSE (successive minimum mean square error) 프리코딩 방법의 프리코딩 행렬 생성을 단순화하기 위한 $S^{2}MMSE$ (simplified SMMSE) 알고리즘을 제안한다. 기존의 알고리즘이 모든 사용자들의 모든 수신 안테나들을 대상으로 개별 MMSE nulling을 필요로 하는 프리코멍 벡터들을 생성하는 것과 대조적으로, 제안되는 알고리즘은 먼저 사용자 별 MMSE nulling 과정을 수행하고, 해당 사용자 내에서는 이 결과를 공통으로 이용하여 개별 수신 안테나에서 추가적인 MMSE nulling 과정 없이 단순한 행렬-벡터 곱으로 프리코딩 벡터를 계산한다. 따라서, 이 알고리즘을 사용하면 SMMSE 프리코딩을 위한 프리코멍 행렬 생성을 크게 단순화시킬 수 있다.

Robust Digital Watermarking for High-definition Video using Steerable Pyramid Transform, Two Dimensional Fast Fourier Transform and Ensemble Position-based Error Correcting

  • Jin, Xun;Kim, JongWeon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권7호
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    • pp.3438-3454
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    • 2018
  • In this paper, we propose a robust blind watermarking scheme for high-definition video. In the embedding process, luminance component of each frame is transformed by 2-dimensional fast Fourier transform (2D FFT). A secret key is used to generate a matrix of random numbers for the security of watermark information. The matrix is transformed by inverse steerable pyramid transform (SPT). We embed the watermark into the low and mid-frequency of 2D FFT coefficients with the transformed matrix. In the extraction process, the 2D FFT coefficients of each frame and the transformed matrix are transformed by SPT respectively, to produce two oriented sub-bands. We extract the watermark from each frame by cross-correlating two oriented sub-bands. If a video is degraded by some attacks, the watermarks of frames contain some errors. Thus, we use an ensemble position-based error correcting algorithm to estimate the errors and correct them. The experimental results show that the proposed watermarking algorithm is imperceptible and moreover is robust against various attacks. After embedding 64 bits of watermark into each frame, the average peak signal-to-noise ratio between original frames and embedded frames is 45.7 dB.

Mallows의 $C_L$ 통계량을 이용한 수문응답 추정 (Hydrologic Response Estimation Using Mallows' $C_L$ Statistics)

  • 성기원;심명필
    • 한국수자원학회논문집
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    • 제32권4호
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    • pp.437-445
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    • 1999
  • 비모수능형회귀분석법을 이용하여 수문응답을 추정하는 방안에 대하여 연구하였다. 응답을 추정하기 위하여 평균제곱예측오차에 대한 추정량인 CL 통계량을 최소화하는 방법을 적용하였으며 가중행렬은 전통적으로 이용도는 단위행렬과 특수한 형태인 행렬인 Laplacian 행렬을 각각 이용하여 비교하였다. 또한 추정응답의 오차분산을 추정하는 방안에 대한 검토도 실행하였다. 합성자료와 실제자료에 대한 분석 결과 가중행렬과 Laplacian 행렬을 오차분산은 편기 수정된 추정치를 이용하는 것이 좋은 결과를 보여 주었다. 본 연구에서 제시된 절차 및 방법은 수문응답 분리에 있어서 안정적이고 효율적으로 적용될 수 있을 것으로 판단된다.

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ACO를 이용한 저전력 ECC H-매트릭스 최적화 방안 (A Low Power ECC H-matrix Optimization Method using an Ant Colony Optimization)

  • 이대열;양명훈;김용준;박영규;윤현준;강성호
    • 대한전자공학회논문지SD
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    • 제45권1호
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    • pp.43-49
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    • 2008
  • 본 논문에서는 Ant Colony Optimization(ACO)을 이용하여 Single-Error Correcting & Double-Error Detecting(SEC-DED)을 제공하는 메모리 ECC 체커 회로의 소비전력을 절감하는 방안을 제시한다. H-매트릭스를 통해 구현되는 SEC-DED 코드인 Hsiao 코드의 대칭성과 H-매트릭스 구성상의 높은 자유도를 이용하여 회로의 면적, 딜레이에 영향을 주지 않고 최소의 비트 트랜지션이 일어나도록 H-매트릭스를 최적화한다. 실험을 통하여 H-매트릭스의 최적화를 위한 ACO 매핑과 파라메터의 설정을 알아보고 이의 구현 결과를 랜덤 매트릭스 구성을 통한 방식 및 기존의 GA알고리즘을 이용한 최적화 방식과 비교하여 소비 전력이 기존의 방식에 비해 절감될 수 있음을 보여준다.