• 제목/요약/키워드: Orthogonalization

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Inference about Measure of Agreement in the General Mixture Model via Parameter Orthogonalization

  • Um, Jongseok
    • Communications for Statistical Applications and Methods
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    • 제10권2호
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    • pp.341-352
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    • 2003
  • Collecting data through experiment, the observers are an import source of measurement error and the inference on the measure of agreement, say kappa, is necessary. The models commonly used are complicated general mixture model, which have many nuisance parameters. Orthogonalization of parameters reduce the effect of nuisance parameter. Orthogonalization of estimating function gives the same effect as the parameter orthogonalization. In this study, the method for orthogonalization of estimating equation is studied and applied to the Beta-binomial model to examine the properties of the estimate of kappa. As a result, the likelihood function is insensitive to the change of the nuisance parameter and bias is smaller than the result of m.1.e. when kappa has extreme values

주 사용자의 간섭을 고려한 Opportunistic Spatial Orthogonalization의 활성 부 사용자 선택 알고리즘 (Active Secondary User Selection Algorithm of Opportunistic Spatial Orthogonalization Considering Interference by a Primary User)

  • 유강현;김용화;이한별;김성철
    • 한국통신학회논문지
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    • 제36권11A호
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    • pp.892-902
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    • 2011
  • Cong Shen과 Micael P. Fitz에 의해 제안된 OSO(opportunistic spatial orthogonalization)는 주 사용자가 모든 라이선스 주파수 대역을 점유하고 있는 동안에 부 사용자들이 그 주파수 대역을 동시에 사용할 수 있도록 하는 기법이다. 본 논문에서는 single-input multi-output system을 기반으로 하여, 주 사용자의 송신 전략을 유지하며 주 사용자의 송신기에서 활성 부 사용자의 수신기로 가는 간섭을 고려한 활성 부 사용자 선택 알고리즘을 소개한다. 제안한 알고리즘은 주 사용자에게 최소한의 전송 용량(throughput)을 보장하며 기존 OSO 방법보다 더 높은 성능을 보인다. 우리는 모의실험을 통해 여러 제약 조건 하에서 제안한 알고리즘의 성능을 검증한다.

Orthogonalization principle for hybrid control of robot arms under geometric constraint

  • Arimoto, Suguru
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.1-6
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    • 1992
  • A principle of "orthogonalization" is proposed as an extended notion of hybrid (force and position) control for robot manipulators under geometric endpoint constraints. The principle realizes the hybrid control in a strict sense by letting position and velocity feedback signals be orthogonal in joint space to the contact force vector whose components are exerted at corresponding joints. This orthogonalization is executed via a projection matrix computed in real-time from a gradient of the equation of the surface in joint coordinates and hence both projected position and velocity feedback signals become perpendicular to the force vector that is normal to the surface at the contact point in joint space. To show the important role of the principle in control of robot manipulators, three basic problems are analyzed, the first is a hybrid trajectory tracking problem by means of a "modified hybrid computed torque method", the second is a model-based adaptive control problem for robot manipulators under geometric endpoint constraints, and the third is an iterative learning control problem. It is shown that the passivity of residual error dynamics of robots follows from the orthogonalization principle and it plays a crucial role in convergence properties of both positional and force error signals.force error signals.

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ORTHOGONALIZATION PROCESS USING SYSTEMS

  • Yi, Su-Cheol
    • East Asian mathematical journal
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    • 제15권2호
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    • pp.345-354
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    • 1999
  • Orthogonalization can be done by the well known Gram-Schmidt process or by using Householder transformations. In this paper, we introduced an alternative process using linear systems.

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직교화 기법을 이용한 앙상블 경험적 모드 분해법의 고유 모드 함수와 모드 직교성 (Intrinsic Mode Function and its Orthogonality of the Ensemble Empirical Mode Decomposition Using Orthogonalization Method)

  • 손수덕;하준홍;비자야 P. 포크렐;이승재
    • 한국공간구조학회논문집
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    • 제19권2호
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    • pp.101-108
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    • 2019
  • In this paper, the characteristic of intrinsic mode function(IMF) and its orthogonalization of ensemble empirical mode decomposition(EEMD), which is often used in the analysis of the non-linear or non-stationary signal, has been studied. In the decomposition process, the orthogonal IMF of EEMD was obtained by applying the Gram-Schmidt(G-S) orthogonalization method, and was compared with the IMF of orthogonal EMD(OEMD). Two signals for comparison analysis are adopted as the analytical test function and El Centro seismic wave. These target signals were compared by calculating the index of orthogonality(IO) and the spectral energy of the IMF. As a result of the analysis, an IMF with a high IO was obtained by GSO method, and the orthogonal EEMD using white noise was decomposed into orthogonal IMF with energy closer to the original signal than conventional OEMD.

An Escalator Structure-Based Adaptation Algorithm for Channel Equalization with Eigenvalue Spread-Independency

  • Kim, Nam-Yong
    • Journal of electromagnetic engineering and science
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    • 제4권2호
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    • pp.93-96
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    • 2004
  • In this paper we introduce a new escalator(ESC) structure-based adaptation algorithm. The proposed algorithm is independent of eigenvalues spread ratio(ESR) of channel and has faster convergence speed than that of the conventional ESC algorithms. This algorithm combines the fast adaptation ability of least square methods and the orthogonalization property of the ESC structure. From the simulation results the proposed algorithm shows superior convergence speed and no slowing down of convergence speed when we increase the ESR of the channel.

직교화와 SVD를 도입한 광학설계의 최적화기법에 대한 연구

  • 김기태
    • 한국광학회지
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    • 제4권4호
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    • pp.363-372
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    • 1993
  • 설계변수의 직교화와 SVD(singular value decomposition)를 최적화에 도입하고, 이를 double-Gauss형 사진렌즈계에 적용시켜 최적화의 수렴성과 안정성을 일반적인 최소자승법, 감쇠최소자승법의 경우와 비교하였다. 최적화에서 정규방정식의 조건수(고유값의 최대, 최소값의 비)가 최적화의 불안정성과 밀접한 관련이 있다는 것은 이미 알려져 있다. 본 연구에는 SVD를 도입하여 조건수를 제한하여 본 결과 최적화의 안정성이 매우 증진 되었으며, 감쇠최소자승법에서 적은 감쇠항을 주고 직교화와 SVD를 적용시킨 경우가 가장 빠르고 안정하게 수렴하였다. 이것은 변수의 직교화와 SVD가 감쇠최소자승법에서 적은 감쇠항을 줄 때 생기는 불안정성을 잘 극복하고 있음을 나타내고 있다.

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참조 벡터의 직교화 방법을 이용한 부분공간 간섭 정렬 (Subspace Interference Alignment by Orthogonalization of Reference Vectors)

  • 서종필;김현수;이윤주;권동승;김지형;정재학
    • 한국통신학회논문지
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    • 제35권1A호
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    • pp.54-61
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    • 2010
  • 본 논문에서는 셀룰러 환경에서 셀 간 간섭을 완화시키기 위한 부분공간 간섭 정렬 방법을 실제 시스템에 적용할 때 발생하는 채널 분리 오차와 채널 추정 오차에 따른 성능 열화를 개선시키기 위한 수신단 직교화를 통한 간섭 정렬 방법을 제안하였다. 제안된 방법은 셀 마다 서로 직교하는 참조 벡터를 사용함으로써 채널 분리 오차와 채널 추정 오차에 인해 남아있는 간섭신호를 줄여준다. 전산 모의 실험을 통해 채널 추정 오차가 발생하는 환경에서 제안된 방법을 통해 기존의 방법에 비해 향상된 합용량을 얻을 수 있었다.

MMSE based Wiener-Hopf Equation

  • Cho, Juphil;Lee, Il Kyu;Cha, Jae Sang
    • International Journal of Internet, Broadcasting and Communication
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    • 제4권1호
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    • pp.18-22
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    • 2012
  • In this paper, we propose an equivalent Wiener-Hopf equation. The proposed algorithm can obtain the weight vector of a TDL(tapped-delay-line) filter and the error simultaneously if the inputs are orthogonal to each other. The equivalent Wiener-Hopf equation was analyzed theoretically based on the MMSE(minimum mean square error) method. The results present that the proposed algorithm is equivalent to original Wiener-Hopf equation. In conclusion, our method can find the coefficient of the TDL (tapped-delay-line) filter where a lattice filter is used, and also when the process of Gram-Schmidt orthogonalization is used. Furthermore, a new cost function is suggested which may facilitate research in the adaptive signal processing area.

객체기반 부호화에서 혼합형 부호화방식을 이용한 MF(Model Failure) 객체의 색신호 부호화 (Color coding of MF(model failure) object using hybrid coding method in object based coding)

  • 김동하;이지훈;고성제;이태원
    • 전자공학회논문지S
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    • 제34S권5호
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    • pp.45-51
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    • 1997
  • To trnsmit moving image signals by using an object vased coding technique at the rate of 8kbps~11kbps, it is very important to minimize the bit rates used for the compression of the color information of MF-objects. This paper proposes a hybrid coding method which uses the shpae adaptive coding method and the interframe reference method selectively. Gilge's shape adaptive orthogonal coidng method is utilized for shpae adaptive coding. The interfarame reference method approximates the low-passed signals of the image by gilge's shpae adaptive orthogonalization method and then refers the approximation error signals from the high frequency signal components of th eprevious frame. The proposed method achives the bit rates reduction of 17% compared to the gilge's shape adaptive orthogonalization method and 30% rduction compared to the shape adaptive DCT in average.

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