• Title/Summary/Keyword: eigenvector

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Adaptive Beamforming Technique of Eigen-space Smart Antenna System (고유공간 스마트 안테나 시스템의 적응 빔형성 기술)

  • 김민수;이원철;최승원
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.10
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    • pp.989-997
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    • 2002
  • This paper presents a new technique that enhances the performance of the smart antenna system especially in signal environments of wide angular spread by adopting a weight vector obtained from two eigenvectors of theautocovariance matrix of the received data. While the conventional beamformingtechnique employs only one eigenvector corresponding to the largest eigenvalue, the proposed algorithm uses two eigenvectors corresponding to the largest and second largest eigenvalue in such a way that it can be robust enough to the signal environments of wide angular spread. An efficient adaptive procedure is shown to verify that the optimal weight vector consisting of the two eigenvectors is obtained with a reasonable complexity(3.5$N_2$+ 12N) and accuracy. it is also shown in this paper that the numerical results obtained from the proposed adaptive procedure well agree with those obtained from a commercial tool computing the eigen-function of MATLABTM.

Robust Feature Normalization Scheme Using Separated Eigenspace in Noisy Environments (분리된 고유공간을 이용한 잡음환경에 강인한 특징 정규화 기법)

  • Lee Yoonjae;Ko Hanseok
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.4
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    • pp.210-216
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    • 2005
  • We Propose a new feature normalization scheme based on eigenspace for achieving robust speech recognition. In general, mean and variance normalization (MVN) is Performed in cepstral domain. However, another MVN approach using eigenspace was recently introduced. in that the eigenspace normalization Procedure Performs normalization in a single eigenspace. This Procedure consists of linear PCA matrix feature transformation followed by mean and variance normalization of the transformed cepstral feature. In this method. 39 dimensional feature distribution is represented using only a single eigenspace. However it is observed to be insufficient to represent all data distribution using only a sin91e eigenvector. For more specific representation. we apply unique na independent eigenspaces to cepstra, delta and delta-delta cepstra respectively in this Paper. We also normalize training data in eigenspace and get the model from the normalized training data. Finally. a feature space rotation procedure is introduced to reduce the mismatch of training and test data distribution in noisy condition. As a result, we obtained a substantial recognition improvement over the basic eigenspace normalization.

Nonlinea Perturbation Method for Dynamic Structural Redesign (동적(動的) 구조(構造) 재설계(再說計)를 위한 비선형(非線形) 섭동법(攝動法))

  • Kyu-Nam,Cho
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.1
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    • pp.39-45
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    • 1989
  • Many mechanical systems including ships and/or offshore structures have poor dynamic response characteristics such as undesirable natural frequencies and undesirable mode shapes. It is mandatory to redesign the structure. In this paper a procedure for the dynamic redesign of an undamped structural system is presented. The method which uses a penalty function with a penalty term containing error in equilibrium for a given vibration mode may have a shortcoming. This method includes unconstrained eigenvector degrees of freedom as unknowns. In the work developed here, only constrained mode shape changes are used in the solution procedure, resulting in a reduction of the unnecessary calculations. Among the set of equations which characterizes the redesign of the structural systems, the under constrained problem is discussed here and formulated as an optimization problem, with an optimal criterion such as minimum change or minimum structural weight of the system. Four simple numerical applications illustrate the efficiency of the method. The method can be applied to the vibration problems of ships and/or offshore structures with an implementation of the commercial FE codes.

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Algebraic Method for Evaluating Natural Frequency and Mode Shape Sensitivities (고유진동수와 모우드의 미분을 구하기 위한 대수적 방법)

  • 정길호;김동욱;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.225-233
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    • 1995
  • This paper presents an efficient numerical method for computation of eigenpair derivatives for the real symmetric eigenvalue problem with distinct and multiple eigenvalues. The method has very simple algorithm and gives an exact solution. Furthermore, it saves computer storage and CPU time. The algorithm preserves the symmetry and band of the matrices, allowing efficient computer storage and solution techniques. Thus, the algorithm of the proposed method will be inserted easily in the commercial FEM codes. Results of the proposed method for calculating the eigenpair derivatives are compared with those of Rudisill and Chu's method and Nelson's method which is efficient one in the case of distinct natural frequencies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The design parameter of the cantilever plate is its thickness. For the eigenvalue problem with multiple natural frequencies, the adjacent eigenvectors are used in the algebraic equation as side conditions, they lie adjacent to the m (multiplicity of multiple natural frequency) distinct eigenvalues, which appear when design parameter varies. As an example to demonstrate the efficiency of the proposed method in the case of multiple natural frequencies, a cantilever beam is considered. Results of the proposed method fDr calculating the eigenpair derivatives are compared with those of Bailey's method (an amendation of Ojalvo's work) which finds the exact eigenvector derivatives. The design parameter of the cantilever beam is its height. Data is persented showing the amount of CPU time used to compute the first ten eigenpair derivatives by each method. It is important to note that the numerical stability of the proposed method is proved.

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The Forest Communities of Mt. Chombong Described by Combined Methods of Classification and Ordination (Classification과 Ordination 분석법(分析法)의 병용(竝用)에 의한 점봉산일대(點鳳山一帶) 삼림군집(森林群集)의 해석(解析))

  • Kim, Ji Hong
    • Journal of Korean Society of Forest Science
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    • v.78 no.3
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    • pp.255-262
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    • 1989
  • Vegetation data of the mixed mesophytic forest in Mt. Chombong area were analyzed by the methods of classification and ordination. 'Weighted group average linkage cluster analysis' recognized five distinctive vegetation groups, based on the abundance data of 83 woody plant species in 70 sampling units. The species diversity was also examined for each group. The importance values of 42 tree species in the groups were subjected to principal component analysis (PCA). The PCA ordinated five vegetation groups on the first two axes, so as to compare similarity among them in terms of species composition. Acer palmatum, Fraxinus rhynchophylla, Quercus mongolica, and Acer mono had greatest influence on the determination of group scores with high eigenvectors (component loadings) in the first axis. Distribution of these four dominant species appeared to be important in determining community association in this diversified forest.

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Timetabling and Analysis of Train Connection Schedule Using Max-Plus Algebra (Max-Plus 대수를 이용한 환승 스케줄 시간표 작성 및 분석)

  • Park, Bum-Hwan
    • Journal of the Korean Society for Railway
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    • v.12 no.2
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    • pp.267-275
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    • 2009
  • Max-plus algebra is a nonlinear system comprised of two operations, maximization (max) and addition (Plus), which are corresponding to the addition and the multiplication in conventional algebra, respectively. This methodology is applicable to many discrete event systems containing the state transition with the maximization and addition operation. Timetable with connection is one of such systems. We present the method based on max-plus algebra, which can make up timetable considering transfer and analyse its stability and robustness. In this study, it will be shown how to make up the timetable of the urban train and analyse its stability using Max-Plus algebra.

Multiple Target Position Tracking Algorithm for Linear Array in the Near Field (선배열 센서를 이용한 근거리 다중 표적 위치 추적 알고리즘)

  • Hwang Soo-Bok;Kim Jin-Seok;Kim Hyun-Sik;Park Myung-Ho;Nam Ki-Gon
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.5
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    • pp.294-300
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    • 2005
  • Generally, traditional approaches to track the target position are to estimate ranges and bearings by 2-D MUSIC (MUltiple 519na1 Classification) method. and to associate estimates of 2-D MUSIC made at different time points with the right targets by JPDA (Joint Probabilistic Data Association) filter in the near field. However, the disadvantages of these approaches are that these have the data association Problem in tracking multiple targets. and that these require the heavy computational load in estimating a 2-D range/bearing spectrum. In case multiple targets are adjacent. the tracking performance degrades seriously because the estimate of each target's Position has a large error. In this paper, we proposed a new tracking algorithm using Position innovations extracted from the senor output covariance matrix in the near field. The proposed algorithm is demonstrated by the computer simulations dealing with the tracking of multiple closing and crossing targets.

A study on relationship between the performance of professional baseball players and annual salary (한국 프로야구 선수들의 경기력과 연봉의 관계 분석)

  • Seung, Hee-Bae;Kang, Kee-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.2
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    • pp.285-298
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    • 2012
  • This research deals with a relationship between the performance of Korean professional baseball players and their annual salaries. It is based on the sabermetrics, which measures the performance of baseball batters in a refined way. We collect the records of batters of eight professional baseball clubs during the season 2009 and 2010. Then, we calculate every index of the sabermetrics. Principal component analysis is used for examining the relationship between those indexes of sabermetrics and annual salary for the next year. In general, batters who show higher performance get more salary. The result of this research can be useful in order to reach an agreement on salary between a player and his club partner.

건식 진공펌프의 상태진단을 위한 PMS 프로그램 개발

  • Jeong, Wan-Seop;Im, Jong-Yeon;Nam, Seung-Hwan;Kim, Hak-Seung;No, Myeong-Geun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.08a
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    • pp.106.2-106.2
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    • 2013
  • 본 논문은 반도체 및 평판 디스플레이 생산공정에서 가동되고 있는 건식 진공펌프들의 정밀 상태진단 및 예지 보수를 위한 pump monitoring system (PMS)의 제품화에 필요한 프로그램의 개발 내용을 소개한다. 본 연구에서 소개하는 건식 진공펌프들의 정밀 상태진단 및 예지보수기법은 PCT 특허 2 건으로 이미 등록된 내용이며, 본 논문은 이들 기법의 실제 구현에서 직면하는 기술적 문제점과 극복 방안을 제시한다. 본 논문에서는 현재 반도체 공정에 사용되고 있는 건식 진공펌프들로부터 측정하는 다중 상태변수들의 조사 결과를 소개한다. 이들 상태변수 측정치들이 갖는 개략적 특성을 통계적 분포함수로 분석한 결과를 우선 보인다. 특히 펌프 구동모터들의 소비 전류신호는 두 평균값에 대한 분포 즉 두 종의 분포함수를, 그리고 온도, purge gas 유량, 배기구 압력 등은 정상적 평균값에 대한 한나의 분포를 보였다. 따라서 구동모터들의 소비전류의 분포 즉 두 상하 수준('low and high' current level)에 따라 batch data를 구분하는 방법의 개발이 필요하였다. 본 연구에서는 step 함수형 eigenvector를 적용하여 소비전류 신호의 상하수준 천이 영역과 방향을 동시에 인식할 수 있는 기법을 개발 적용하였으며, 3300회의 배출가스 부하에 변화에 대한 천이 영역과 방향을 인식에 하나의 실패도 보이지 않음을 확인하였다. 기존의 측정 상태변수에는 회전기계류의 정밀 상태진단 및 예지보수에 핵심적인 기계진동 측정용 진동센서를 포함하고 있지 않은 기술적 문제점이 발견되었다. 기존 진동센서들의 높은 가격 뿐 아니라 진동센서의 출력신호를 저/중/고역 주파수 대역의 실효치로 환산하는 기술적 한계 때문에 진공펌프 상태진단에 아직 사용하고 있지 않고 있다. 본 연구에서는 진동선서 비용의 저감화 방안뿐 아니라 로터 회전 대역(250Hz 이하 저주파 영역), 베어링 진동 대역(250 Hz~2.5 kHz의 중간 주파수 영역), 그리고 기어 진동 대역(2.5 kHz~10 kHz 주파수 영역)별 실효치를 실 시간 측정할 수 있는 진동측정 모듈의 제품화 모델을 개발하였다. 개발 제품의 성능 뿐 아니라 현장 시험결과를 소개한다. 마지막으로 본 연구팀이 개발한 PCT 특허 2 건에 포함된 건식 진공펌프들의 정밀 상태진단 및 예지보수기법에 대한 현장 시험결과를 간략히 소개한다.

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Estimation of Weights in Water Management Resilience Index Using Principal Component Analysis(PCA) (주성분 분석(PCA)을 이용한 물관리 탄력성 지수의 가중치 산정)

  • Park, Jung Eun;Lim, Kwang Suop;Lee, Eul Rae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.583-583
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    • 2016
  • 다양한 평가지표가 반영된 복합 지수(Composite Index)는 물관리 정책의 우선순위 결정 및 정책성과의 모니터링에 유용한 도구로 사용되고 있다. 각 지표별 중요도를 나타내는 가중치는 최종 지수의 산정에 영향을 미칠 수 있으며, 그 결정방법도 Data Envelopment Analysis(DEA), Benefit of doubt Approach(BOD), Unobserved Component Model(UCM), Budget Allocation Process(BAP), Analytic Hierarchy Process(AHP), Conjoint Analysis(CA) 등 다양하다. 본 연구에서는 여러 가지 가중치 결정방법 중 통계적 방법인 주성분 분석(Principal Component Analysis, PCA)을 사용하여 Park et al.(2016)이 제시한 물관리 탄력성 지수(Water Management Resilience Index, WMRI)에 대한 가중치를 산정하여 동일 가중치를 적용한 기존 결과와 비교하였다. 물관리 탄력성 지수는 자연조건상 물관리 취약성(Vulnerability), 기존 수자원 인프라의 견고성(Robustness), 물위기 적응전략의 다양성(Redundancy)의 3가지 부지수(sub-index)는 각각 13개, 11개, 7개의 지표(Indicator)로 구성되어 있으며, 117개 중권역을 다목적댐 하류 본류유역(범주 1), 용수공급 및 유량조절이 불가능한 지류(범주 2)와 가능한 지류(범주 3)로 분류하여 적용되었다. 각 부지수별로 추출된 3개, 5개, 3개의 주성분이 전체 자료의 76.4%, 71.2%, 63.2%를 설명하는 것으로 분석되었으며 부지수별 주성분의 고유벡터(Eigenvector)와 고유값(Eigenvalue)를 계산하고 각 지표의 가중치를 산정하였다. 주성분 분석에 의한 가중치와 동일 가중치를 적용하였을 경우와 비교해보면 취약성 부지수 1.9%, 견고성 부지수 1.9%, 다양성 부지수 2.1%의 차이가 나타나며 물관리 탄력성 지수는 0.4%의 차이를 보임에 따라 Park et al.이 제시한 연구결과의 적정성을 확인할 수 있었다. 주성분 분석은 객관적인 가중치 설정을 위한 통계적 접근방법의 하나로써 다양한 물관리 정책지수 산정시 활용될 수 있을 것이며, 향후 다른 가중치 산정방법을 적용함으로써 각 방법에 따른 지수 결과의 민감도 및 장단점을 분석할 수 있을 것으로 판단된다.

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