• 제목/요약/키워드: dual basis

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내부해로부터 최적기저 추출에 관한 연구

  • 박찬규;박순달
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1996년도 춘계공동학술대회논문집; 공군사관학교, 청주; 26-27 Apr. 1996
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    • pp.24-29
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    • 1996
  • If the LP problem doesn't have the optimal soultion uniquely, the solution fo the primal-dual barrier method converges to the interior point of the optimal face. Therefore, when the optimal vertex solution or the optimal basis is required, we have to perform the additional procedure to recover the optimal basis from the final solution of the interior point method. In this paper the exisiting methods for recovering the optimal basis or identifying the optimal solutions are analyzed and the new methods are suggested. This paper treats the two optimal basis recovery methods. One uses the purification scheme and the simplex method, the other uses the optimal face solutions. In the method using the purification procedure and the simplex method, the basic feasible solution is obtained from the given interior solution and then simplex method is performed for recovering the optimal basis. In the method using the optimal face solutions, the optimal basis in the primal-dual barrier method is constructed by intergrating the optimal solution identification technique and the optimal basis extracting method from the primal-optimal soltion and the dual-optimal solution.

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듀얼기저에 기초한 효율적인 곱셈기 설계 (Design of the Efficient Multiplier based on Dual Basis)

  • 박춘명
    • 전자공학회논문지
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    • 제51권6호
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    • pp.117-123
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    • 2014
  • 본 논문에서는 기저변환을 사용하여 효율적인 곱셈기를 구성하는 방법을 제안하였다. 제안한 곱셈기는 두 입력부분 중 한 입력을 듀얼기저로 변환하는 표준-듀얼 기저 변환회로 모듈과 주어진 m차 기약다항식에 의해 $b_m$부터 $b_{m+k}$를 발생시키는 $b_{m+k}$차 발생연산모듈, $m^2$개의 AND 게이트와 m(m-1)개의 EX-OR 게이트로 구성되는 다항식 승산모듈로 구성된다. 또한, 듀얼기저로 표현되는 출력부분을 표준기저로 변화시켜주는 듀얼-표준 기저 변환회로 모듈로 구성되며, 각 연산부의 구성에 필요한 기본 연산모듈을 정의하였다.

Dual basis를 이용한 격자 감소 방식의 다중 입출력 수신기 (Lattice Reduction Aided MIMO Receiver Using Dual Basis)

  • 권동영;송형준;박성수;홍대식
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2008년도 하계종합학술대회
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    • pp.187-188
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    • 2008
  • This paper presents a lattice reduction aided (LRA) MIMO receiver using dual basis. By reducing the basis of channel inversion matrix which directly boosts the noise power, the LRA-MIMO receiver using dual basis has better performance than that using primal basis.

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AFFINE TRANSFORMATION OF A NORMAL ELEMENT AND ITS APPLICATION

  • Kim, Kitae;Namgoong, Jeongil;Yie, Ikkwon
    • Korean Journal of Mathematics
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    • 제22권3호
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    • pp.517-527
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    • 2014
  • In this paper, we study affine transformations of normal bases and give an explicit formulation of the multiplication table of an affine transformation of a normal basis. We then discuss constructions of self-dual normal bases using affine transformations of traces of a type I optimal normal basis and of a Gauss period normal basis.

Generation of Fixed Spectral Basis for Three-Dimensional Mesh Coding Using Dual Graph

  • Kim Sung-Yeol;Yoon Seung-Uk;Ho Yo-Sung
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 ICEIC The International Conference on Electronics Informations and Communications
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    • pp.137-142
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    • 2004
  • In this paper, we propose a new scheme for geometry coding of three-dimensional (3-D) mesh models using a fixed spectral basis. In order to code the mesh geometry information, we generate a fixed spectral basis using the dual graph derived from the 3-D mesh topology. After we partition a 3-D mesh model into several independent sub-meshes to reduce coding complexity, the mesh geometry information is projected onto the generated orthonormal bases which are the eigenvectors of the Laplacian matrix of the 3-D mesh. Finally, spectral coefficients are coded by a quantizer and a variable length coder. The proposed scheme can not only overcome difficulty of generating a fixed spectral basis, but also reduce coding complexity. Moreover, we can provide an efficient multi-resolution representation of 3-D meshes.

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GF($2^m$) 상의 유한체 승산기 설계 및 비교 (A Design and Comparison of Finite Field Multipliers over GF($2^m$))

  • 김재문;이만영
    • 전자공학회논문지B
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    • 제28B권10호
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    • pp.799-806
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    • 1991
  • Utilizing dual basis, normal basis, and subfield representation, three different finite field multipliers are presented in this paper. First, we propose an extended dual basis multiplier based on Berlekamp's bit-serial multiplication algorithm. Second, a detailed explanation and design of the Massey-Omura multiplier based on a normal basis representation is described. Third, the multiplication algorithm over GF(($2^{n}$) utilizing subfield is proposed. Especially, three different multipliers are designed over the finite field GF(($2^{4}$) and the complexity of each multiplier is compared with that of others. As a result of comparison, we recognize that the extendd dual basis multiplier requires the smallest number of gates, whereas the subfield multiplier, due to its regularity, simplicity, and modularlity, is easier to implement than the others with respect to higher($m{\ge}8$) order and m/2 subfield order.

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Radial Basis Function Networks를 이용한 이중 임계값 방식의 음성구간 검출기 (Voice Activity Detection Algorithm base on Radial Basis Function Networks with Dual Threshold)

  • 김홍익;박승권
    • 한국통신학회논문지
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    • 제29권12C호
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    • pp.1660-1668
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    • 2004
  • 본 논문에서는 간단한 구조, 적은 계산량과 안정된 빠른 수렴속도를 가진 RBF (Radial Basis Function) 신경회로망을 이용한 이중 임계값 방식의 음성구간 검출기 알고리즘을 제안하고 시뮬레이션을 통해 유용성을 확인하였다. 음성압축기에 사용되는 CELP (Code-Excited Linear Prediction) 파라미터들을 신경회로망 입력으로 하여 잡음에 강하게 반응하게 하였고, 음성구간 검출기의 성능향상을 위해 음성구간과 침묵구간에서 다른 임계값을 사용하는 이중 임계값 방식을 적용하였다. 실험 결과 이중 임계값을 이용한 RBF 신경망 음성구간 검출기는 G.729 Annex B 음성구간 검출기 보다 우수한 성능을 보였고, 기존의 MLP (Multi Layer Perceptron) 신경회로망을 이용한 음성구간 검출기와 비교하여 음성구간에서는 비슷한 성능을 보였으나 침묵구간에서 25% 정도의 성능향상을 보였다.

DUAL PRESENTATION AND LINEAR BASIS OF THE TEMPERLEY-LIEB ALGEBRAS

  • Lee, Eon-Kyung;Lee, Sang-Jin
    • 대한수학회지
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    • 제47권3호
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    • pp.445-454
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    • 2010
  • The braid group $B_n$ maps homomorphically into the Temperley-Lieb algebra $TL_n$. It was shown by Zinno that the homomorphic images of simple elements arising from the dual presentation of the braid group $B_n$ form a basis for the vector space underlying the Temperley-Lieb algebra $TL_n$. In this paper, we establish that there is a dual presentation of Temperley-Lieb algebras that corresponds to the dual presentation of braid groups, and then give a simple geometric proof for Zinno's theorem, using the interpretation of simple elements as non-crossing partitions.

Dynamic analysis of 3-D structures with adaptivity in RBF of dual reciprocity BEM

  • Razaee, S.H.;Noorzad, A.
    • Structural Engineering and Mechanics
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    • 제29권2호
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    • pp.117-134
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    • 2008
  • A new adaptive dual reciprocity boundary element method for dynamic analysis of 3-D structures is presented in this paper. It is based on finding the best approximation function of a radial basis function (RBF) group $f=r^n+c$ which minimize the error of displacement field expansion. Also, the effects of some parameters such as the existence of internal points, number of RBF functions and position of collocation nodes in discontinuous elements are investigated in this adaptive procedure. Three numerical examples show improvement in dynamic response of structures with adaptive RBF in dual reciprocity with respect to ordinary BEM.

Production of inulooligosaccharides from inulin by a dual endoinulinase system

  • 조연정;;박종필;윤종원
    • 한국생물공학회:학술대회논문집
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    • 한국생물공학회 2000년도 추계학술발표대회 및 bio-venture fair
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    • pp.587-589
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    • 2000
  • The production of inulooligosaccharides from inulin by a dual endoinulinase system of Pseudomonas sp and Xanthomonas sp. was investigated the optimum conditions for a dual endoinulinase reaction were as follows : pH,5.8; temperature, $50^{\circ}C$; substrate concentration, 50 g/l; enzyme ratio, 3:1 as Xanthomonas endoinulinase to Pseudomonas endoinulinase. Under optimum conditions, the maximum yield of oligosaccharides was 90.5% in total sugar basis by dual endoinulinase system

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