• 제목/요약/키워드: basis matrix

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비 대각요소를 이용한 부공간에서의 적응 빔 형성 기법 (Subspace-Based Adaptive Beamforming with Off-Diagonal Elements)

  • 최양호;엄재혁
    • 한국통신학회논문지
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    • 제29권1A호
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    • pp.84-92
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    • 2004
  • 공분산 행렬의 고유구조에 기초한 뎀 형성 방법은 수렴속도가 빠르고 도래각 추정 오차에 둔감한 이점을 가지고 있다 그러나 Sl (signal Plus interference) 부공간에 대한 기저(basis)를 추정하기 위해 표본 행렬을 고유분해 하는 것을 필요로 하여 그 계산이 매우 복잡하다. 본 논문에서는 표본행렬의 비 대각 요소를 이용하여 턱 공간을 추정하는 간단한 빔 형성 기법을 제안한다. 제안한 방법에서는 중첩된 부어레이들의 빔을 결합하여 최종 적응 출력을 얻는다. 이와 같이 부어레이를 결합하면 하나의 부어레이를 이용하는 경우에 비해 SINR (signal-to-interference-plus-noise ratio) 성능을 증가시킬 수 있다. 고유분해에 의한 방법은 원가는 신호의 도래각, 신호 수 모두에 오차가 있으면 심하게 성능이 저하되지만, 비 대각방법에서는 효율적인 도래각 추정기법을 적용하여 이러한 오차에 매우 둔감하다.

Face Recognition Robust to Local Distortion Using Modified ICA Basis Image

  • Kim Jong-Sun;Yi June-Ho
    • 한국정보보호학회:학술대회논문집
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    • 한국정보보호학회 2006년도 하계학술대회
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    • pp.251-257
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    • 2006
  • The performance of face recognition methods using subspace projection is directly related to the characteristics of their basis images, especially in the cases of local distortion or partial occlusion. In order for a subspace projection method to be robust to local distortion and partial occlusion, the basis images generated by the method should exhibit a part-based local representation. We propose an effective part-based local representation method named locally salient ICA (LS-ICA) method for face recognition that is robust to local distortion and partial occlusion. The LS-ICA method only employs locally salient information from important facial parts in order to maximize the benefit of applying the idea of 'recognition by parts.' It creates part-based local basis images by imposing additional localization constraint in the process of computing ICA architecture I basis images. We have contrasted the LS-ICA method with other part-based representations such as LNMF (Localized Non-negative Matrix Factorization)and LFA (Local Feature Analysis). Experimental results show that the LS-ICA method performs better than PCA, ICA architecture I, ICA architecture II, LFA, and LNMF methods, especially in the cases of partial occlusions and local distortion

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Minimal Generators of Syzygy Modules Via Matrices

  • Haohao Wang;Peter Oman
    • Kyungpook Mathematical Journal
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    • 제64권2호
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    • pp.197-204
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    • 2024
  • Let R = 𝕂[x] be a univariate polynomial ring over an algebraically closed field 𝕂 of characteristic zero. Let A ∈ Mm,m(R) be an m×m matrix over R with non-zero determinate det(A) ∈ R. In this paper, utilizing linear-algebraic techniques, we investigate the relationship between a basis for the syzygy module of f1, . . . , fm and a basis for the syzygy module of g1, . . . , gm, where [g1, . . . , gm] = [f1, . . . , fm]A.

개선된 ICA 기저영상을 이용한 국부적 왜곡에 강인한 얼굴인식 (Face Recognition Robust to Local Distortion using Modified ICA Basis Images)

  • 김종선;이준호
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제33권5호
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    • pp.481-488
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    • 2006
  • 부공간 투영기술(subspace projection)을 이용한 얼굴인식기술의 성능은 이들 기저영상들(basis images)의 특징과 밀접한 관련이 있다. 특히 표정변화와 같은 국부적 왜곡이나 오클루전이 있는 경우의 인식성능은 기저영상들의 특징에 의해 영향을 받게 된다. 부공간 투영기반의 얼굴인식 방법이 오클루전이나 표정변화와 같은 국부적인 왜곡발생에 강인하려면 부분국부적 표현(part-based local representation)의 기저벡터를 갖는 것이 중요하다. 본 연구에서는 국부적 왜곡과 오클루전에 강인한 효과적인 부분국부적 표현방법을 제안한다. 제안한 방법을 LS-ICA(locally salient ICA) 방법이라고 명명하였다. LS-ICA방법은 ICA 구조I의 기저영상을 구하는 과정에서 공간적인 국부성(locality)의 제약조건을 부과함으로써 부분국부적 기저영상(part-based local basis images)을 얻는 방법이다. 결과적으로 공간적으로 현저한 특징만을 포함하는 기저영상을 사용하게 되며, 이는 "Recognition by Parts"의 방법론과 유사하다. LS-ICA방법과 LNMF(Localized Non-negative Matrix Factorization)와 LFA(Local Feature Analysis)와 같은 기존의 부분 표현방법(part-based representation)들에 대해 다양한 얼굴영상 데이타베이스를 사용하여 실험한 결과, LS-ICA방법이 기존의 방법에 비하여 높은 인식성능을 보였으며, 특히 오클루전이나 국부적인 변형이 포함된 얼굴영상에서 뛰어난 인식성능을 보였다.

Interactions between beef salt-soluble proteins and elephant foot yam (Amorphophallus campanulatus) flour in heat-induced gel matrix development

  • Widyastuti, Eny Sri;Rosyidi, Djalal;Radiati, Lilik Eka;Purwadi, Purwadi
    • Journal of Animal Science and Technology
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    • 제62권4호
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    • pp.533-542
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    • 2020
  • The objective of this study was to observe the interactions between salt-soluble proteins extracted from beef and elephant foot yam (Amorphophallus campanulatus) flour in heat-induced gel matrix development. The effect of salt concentration; 0.5%, 1.0%, 1.5%, and 2.0% in weight/weight basis (w/w), during protein extraction on pH, salt-soluble protein concentration and myofibril fractions of beef extract was determined firstly, and no significant effect was found. The beef salt-soluble proteins extracted using salt solution at different concentrations were then added with elephant foot yam flour at 5%, 10%, and 15% w/w, gelatinized at 90℃ for 20 min, and cooled down at 4℃ for 12 h. The interactions between beef salt-soluble proteins and elephant foot yam flour resulted in an improved gel strength (p < 0.01) and the addition level of elephant foot yam flour affected the pH, instrumental color, moisture, crude protein, and ash content significantly. The addition of elephant foot yam flour also reduced the size of the pores in the gel matrix as shown by scanning electron microscope (SEM) photographs. These suggest that elephant foot yam flour well interacts with beef salt-soluble proteins to form gel matrix.

시간 연속성을 갖는 비음수 행렬 분해를 이용한 음질 개선 (Speech Enhancement Using Nonnegative Matrix Factorization with Temporal Continuity)

  • 남승현
    • 한국음향학회지
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    • 제34권3호
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    • pp.240-246
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    • 2015
  • 본 논문은 시간 연속성을 갖는 비음수 행렬 분해(Nonnegative Matrix Factorization, NMF)를 이용하여 잡음에 열화된 음성 신호의 음질을 개선하는 문제를 다룬다. 음성과 잡음 신호는 포아송 분포로 모델되며, NMF의 기본 벡터와 이득 벡터는 감마 분포로 모델된다. 이득 벡터의 시간 연속성은 음질 개선에 중요한 영향을 미치는 것으로 알려져 있다. 본 논문에서 시간의 연속성은 이득 벡터를 감마-마르코프 연쇄(Gamma-Markov chain, GMC) 사전 분포로 모델함으로써 이루어진다. 실험 결과는 제안된 알고리즘이 잡음 신호의 시간 연속성을 효과적으로 모델하는 것을 보여준다.

Dynamic analysis of deployable structures using independent displacement modes based on Moore-Penrose generalized inverse matrix

  • Xiang, Ping;Wu, Minger;Zhou, Rui Q.
    • Structural Engineering and Mechanics
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    • 제54권6호
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    • pp.1153-1174
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    • 2015
  • Deployable structures have gained more and more applications in space and civil structures, while it takes a large amount of computational resources to analyze this kind of multibody systems using common analysis methods. This paper presents a new approach for dynamic analysis of multibody systems consisting of both rigid bars and arbitrarily shaped rigid bodies. The bars and rigid bodies are connected through their nodes by ideal pin joints, which are usually fundamental components of deployable structures. Utilizing the Moore-Penrose generalized inverse matrix, equations of motion and constraint equations of the bars and rigid bodies are formulated with nodal Cartesian coordinates as unknowns. Based on the constraint equations, the nodal displacements are expressed as linear combination of the independent modes of the rigid body displacements, i.e., the null space orthogonal basis of the constraint matrix. The proposed method has less unknowns and a simple formulation compared with common multibody dynamic methods. An analysis program for the proposed method is developed, and its validity and efficiency are investigated by analyses of several representative numerical examples, where good accuracy and efficiency are demonstrated through comparison with commercial software package ADAMS.

Effect of Mirror Misalignments on Optical Ray Path In a Ring Resonator

  • Lee, Dong-Chan;Lee, Jae-Cheul;Son, Seong-Hyun;Cho, Hyun-Ju
    • Journal of the Optical Society of Korea
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    • 제6권3호
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    • pp.121-127
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    • 2002
  • The operating principal of a ring laser gyroscope depends on the phase difference for the counter-propagating waves within a closed path. The reflecting mirrors mounted on the monoblock form the traveling waves. The manufacturing accuracy of the monoblock influences the traveling path of ray, the sensitivity of laser resonator for misalignments, and diffraction losses. A 3 $\times$ 3 ray transfer matrix was derived for optical components with centering and squaring errors in a ring resonator. The matrix can be utilized to predict the optical ray paths on the basis of the manufacturing errors of the monoblock as well as the misalignment of mirrors. Then the distance and orientation (o. slope) at the arbitrary plane inside the resonator along the ideal optical path can be calculated from the chain multiplication of the ray transfer matrix for each optical component in one round trip. We also show that the counter-propagating rays In a ring resonator with errors does not coincide in each round trip, which results in gain difference between two beams, and how these errors can be adjusted through the alignment procedure. Finally this 3 $\times$ 3 ray matrix formalism can be used to calculate the beam size and its displacement from the optical axis and the deviation at the diaphragm.

Effect of particle size on direct shear deformation of soil

  • Gu, Renguo;Fang, Yingguang;Jiang, Quan;Li, Bo;Feng, Deluan
    • Geomechanics and Engineering
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    • 제28권2호
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    • pp.135-143
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    • 2022
  • Soils are natural granular materials whose mechanical properties differ according to the size and composition of the particles, so soils exhibit an obvious scale effect. Traditional soil mechanics is based on continuum mechanics, which can not reflect the impact of particle size on soil mechanics. On that basis, a matrix-reinforcing-particle cell model is established in which the reinforcing particles are larger-diameter sand particles and the matrix comprises smaller-diameter bentonite particles. Since these two types of particles deform differently under shear stress, a new shear-strength theory under direct shear that considers the stress concentration and bypass phenomena of the matrix is established. In order to verify the rationality of this theory, a series of direct shear tests with different reinforcing particle diameter and volume fraction ratio are carried out. Theoretical analysis and experimental results showed that the interaction among particles of differing size and composition is the basic reason for the size effect of soils. Furthermore, the stress concentration and bypass phenomena of the matrix enhance the shear strength of a soil, and the volume ratio of reinforcing particles has an obvious impact on the shear strength. In addition, the newly proposed shear-strength theory agrees well with experimental values.

NBCA 에 기초한 여원 MLCA와 2D CAT를 이용한 새로운 영상 암호화 (A Novel Image Encryption using Complemented MLCA based on NBCA and 2D CAT)

  • 김하경;남태희;조성진;김석태
    • 한국통신학회논문지
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    • 제36권6C호
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    • pp.361-367
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    • 2011
  • 본 논문에서는 효율적인 영상 암호화를 위해 NBCA(Null Boundary CA)에 기초한 여원 MLCA(Maximum Length Cellular Automata)와 2D CAT(Two-Dimensional Cellular Automata Transform)를 이용한 암호화 방법을 제안한다. 암호화 방법은 먼저, Wolfram Rule 행렬에 의해 전이행렬 T를 생성한다. 그 후, 암호화하려는 원영상에 생성된 전이 행렬 T를 곱하여 원 영상의 픽셀 값을 변환한다. 또한 변환된 원 영상을 여원 벡터 F와 XOR 연산하여 여원 MLCA가 적용된 영상으로 변환한다. 다음, 게이트웨이 값을 설정하여 2D CAT 기저함수를 생성한다. 그리고, 여원 MLCA가 적용된 영상에 생성된 기저함수를 곱하여 2D CAT 암호화를 한다. 마지막으로 안정성 분석을 통하여 제안한 방법이 높은 암호화 수준의 성질을 가졌음을 검증한다.