• 제목/요약/키워드: Orthogonal Factor

검색결과 264건 처리시간 0.022초

파라미터 설계법에서 교호작용효과의 검출방법 (Detection of Influential Interaction Effects in Parameter Design)

  • Sang Ik Kim
    • 응용통계연구
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    • 제7권2호
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    • pp.201-211
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    • 1994
  • 다구찌에 의해서 개발된 파라미터 설계법에서는 교호작용효과를 무시하고 직교배열을 이용하여 실험을 분석하는 것이 일반적인 방법으로 사용되고 있다. 본 논문에서는 직교배열과 거의 유사한 통계적 성질을 가지면서 최소의 실험횟수로 2인자 교호작용까지 분석할 수 있는 실험계획을 제시하고, 이러한 계획법에 의해 파라미터 설계법을 분석하고 유의적인 2인자 교호작용까지 검출하는 방법을 제시하였다.

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AN INVERSE HOMOGENEOUS INTERPOLATION PROBLEM FOR V-ORTHOGONAL RATIONAL MATRIX FUNCTIONS

  • Kim, Jeon-Gook
    • 대한수학회지
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    • 제33권4호
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    • pp.717-734
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    • 1996
  • For a scalar rational function, the spectral data consisting of zeros and poles with their respective multiplicities uniquely determines the function up to a nonzero multiplicative factor. But due to the richness of the spectral structure of a rational matrix function, reconstruction of a rational matrix function from a given spectral data is not that simple.

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Nonnegative Matrix Factorization with Orthogonality Constraints

  • Yoo, Ji-Ho;Choi, Seung-Jin
    • Journal of Computing Science and Engineering
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    • 제4권2호
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    • pp.97-109
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    • 2010
  • Nonnegative matrix factorization (NMF) is a popular method for multivariate analysis of nonnegative data, which is to decompose a data matrix into a product of two factor matrices with all entries restricted to be nonnegative. NMF was shown to be useful in a task of clustering (especially document clustering), but in some cases NMF produces the results inappropriate to the clustering problems. In this paper, we present an algorithm for orthogonal nonnegative matrix factorization, where an orthogonality constraint is imposed on the nonnegative decomposition of a term-document matrix. The result of orthogonal NMF can be clearly interpreted for the clustering problems, and also the performance of clustering is usually better than that of the NMF. We develop multiplicative updates directly from true gradient on Stiefel manifold, whereas existing algorithms consider additive orthogonality constraints. Experiments on several different document data sets show our orthogonal NMF algorithms perform better in a task of clustering, compared to the standard NMF and an existing orthogonal NMF.

교호작용을 고려한 이산설계 공간에서의 Steering System 설계 (Design of Steering System Considering Interaction Effects in Discrete Design Space)

  • 권우성;박광서;김영호;김인동
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.786-792
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    • 2006
  • The design of experiment(DOE) with orthogonal arrays is adopted when the engineering design is needed in a discrete design space. In this research, a design process with orthogonal array is peformed to obtain the optimum design which satisfy the frequency target of the steering system. The optimum design is determined from the analysis of means(ANOM) and sensitivity information about design variables is evaluated by the analysis of variance(ANOVA). Interactions between design variables are investigated to achieve additivity which should be valid in using orthogonal array. It is shown that when strong interactions exist, the DOE process with orthogonal array considering interaction is introduced to find out optimum design.

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직교성에 가까운 트레이스 최적 2-수준 Resolution-V 균형 일부실험법의 실험크기 결정에 관한 연구 (A Study on the Determination of Experimental Size of Near-orthogonal Two-level Balanced Trace Optimal Resolution-V Fractional Factorial Designs)

  • 김상익
    • 품질경영학회지
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    • 제45권4호
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    • pp.889-902
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    • 2017
  • Purpose: The orthogonality and trace optimal properties are desirable for constructing designs of experiments. This article focuses on the determination of the sizes of experiments for the balanced trace optimal resolution-V fractional factorial designs for 2-level factorial designs, which have near-orthogonal properties. Methods: In this paper, first we introduce the trace optimal $2^t$ fractional factorial designs for $4{\leq}t{\leq}7$, by exploiting the partially balanced array for various cases of experimental sizes. Moreover some orthogonality criteria are also suggested with which the degree of the orthogonality of the designs can be evaluated. And we appraise the orthogonal properties of the introduced designs from various aspects. Results: We evaluate the orthogonal properties for the various experimental sizes of the balanced trace optimal resolution-V fractional factorial designs of the 2-level factorials in which each factor has two levels. And the near-orthogonal 2-level balanced trace optimal resolution-V fractional factorial designs are suggested, which have adequate sizes of experiments. Conclusion: We can construct the trace optimal $2^t$ fractional factorial designs for $4{\leq}t{\leq}7$ by exploiting the results suggested in this paper, which have near-orthogonal property and appropriate experimental sizes. The suggested designs can be employed usefully especially when we intend to analyze both the main effects and two factor interactions of the 2-level factorial experiments.

Orthogonal variable spreading factor encoded unmanned aerial vehicle-assisted nonorthogonal multiple access system with hybrid physical layer security

  • Omor Faruk;Joarder Jafor Sadiqu;Kanapathippillai Cumanan;Shaikh Enayet Ullah
    • ETRI Journal
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    • 제45권2호
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    • pp.213-225
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    • 2023
  • Physical layer security (PLS) can improve the security of both terrestrial and nonterrestrial wireless communication networks. This study proposes a simplified framework for nonterrestrial cyclic prefixed orthogonal variable spreading factor (OVSF)-encoded multiple-input and multiple-output nonorthogonal multiple access (NOMA) systems to ensure complete network security. Various useful methods are implemented, where both improved sine map and multiple parameter-weighted-type fractional Fourier transform encryption schemes are combined to investigate the effects of hybrid PLS. In addition, OVSF coding with power domain NOMA for multi-user interference reduction and peak-toaverage power ratio (PAPR) reduction is introduced. The performance of $\frac{1}{2}$-rated convolutional, turbo, and repeat and accumulate channel coding with regularized zero-forcing signal detection for forward error correction and improved bit error rate (BER) are also investigated. Simulation results ratify the pertinence of the proposed system in terms of PLS and BER performance improvement with reasonable PAPR.

직교 기저행렬을 이용하는 직교 주파수분할다중화의 수학적 구현 (A Mathematical Implementation of OFDM System with Orthogonal Basis Matrix)

  • 강석근
    • 한국정보통신학회논문지
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    • 제13권12호
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    • pp.2731-2736
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    • 2009
  • 본 논문에서는 직교 기저행렬을 이용한 직교 주파수분할다중화 시스템의 새로운 구현방안이 수학적으로 개발된다. 직교기저행렬은 Haar 기저행렬을 기본으로 하고 있으나 직교 주파수분할다중화의 다중 부채널 신호를 변조하기에 적당한 형태를 갖추고 있다. 여기서는 새로운 기저행렬이 간단한 재귀알고리즘에 의하여 확장될 수 있음이 증명된다.그리고 송신기 조합행렬의 차수는 확장에 의하여 두배로 증가된다. 수신기에서 복조는 직교 기저행렬의 재귀에 의하여 생성되는 조합행렬의 역행렬에 의하여 수행된다. 따라서 제안된 직교 주파수분할다중화 시스템에서는 원 신호의 완벽한 재생이 가능함을 알 수 있다.

실험에 적합한 직교 배열표의 자동 생성 및 2 단계 구조 최적화에의 적용 (Automatic Generation of Orthogonal Arrays and Its Application to a Two-Step Structural Optimization)

  • 이수범;곽병만
    • 대한기계학회논문집A
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    • 제27권12호
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    • pp.2047-2054
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    • 2003
  • In this paper, an approach of automatically finding and modifying the most appropriate orthogonal array (GO) is suggested and applied to a new structural optimization procedure with two steps. GO is motivated by the situation where finding a proper orthogonal array from the tables in the literature is difficult or impossible. Now the Taguchi method is made available for various numbers of variables and levels. In the two-step structural optimization, the Taguchi method equipped with GO and a shape optimization using the finite differencing method is consecutively applied. The existence or non-existence of an element can be taken as a factor level and this feature is utilized finding the best topology from a set of potential topologies suggested from the user's expertise. This greatly enhances applicability and one can expect a better result than the case in which each step is applied independently because these steps are complementary each other.

금형의 표면정도와 가공방향에 따른 판재의 마찰특성 (Friction Characteristics of Sheets for The Surface Finish and The Stoning Directions of The Dies)

  • 김동환;조형근;김병민;오세욱;박춘달;황지선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.814-820
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    • 2000
  • This papers investigates the combined effects of parameters such as die surface finish, die directionality of stoning, contact pressure and draw speed on the resulting friction factor. Also, this study show the correlation between the NN(Neural Network) and DOE (Design of Experiments) to reduce the number of experiments without the loss of the effects of parameter upon friction factor. The experiments were run in random order with at least three replicates. It was found that the directional stoning orthogonal to the pulling direction is lower friction than directional stoning parallel to the pulling direction using FCD55 die and SPCEN

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Performance Analysis of NOMA with Symmetric Superposition Coding

  • Chung, Kyuhyuk
    • 전기전자학회논문지
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    • 제23권1호
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    • pp.314-317
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    • 2019
  • Recently, the symmetric superposition coding (SSC) [3] is proposed for a solution for the error propagation (EP) due to the non-perfect successive interference cancelation (SIC) in non-orthogonal multiple access (NOMA). We analyze the performance of NOMA with the SSC. It is shown that the performance of the SSC NOMA is the same as that of NOMA with the normal superposition coding (NSC) for the power allocation factor less than 20%, the SSC NOMA performance is better than the NSC NOMA performance up to the power allocation factor 80%, and the SSC NOMA performs worse than the NSC NOMA for the power allocation factor greater than 80%. As a result, the SSC should be used with consideration of the power allocation.