• Title/Summary/Keyword: QR 분해

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PoLAPACK : Parallel Factorization Routines with Algorithmic Blocking (PoLAPACK : 알고리즘적인 블록 기법을 이용한 병렬 인수분해 루틴 패키지)

  • Choe, Jae-Yeong
    • Journal of KIISE:Computer Systems and Theory
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    • v.28 no.5
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    • pp.228-235
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    • 2001
  • 본 논문에서는 분산메모리를 가진 병렬 컴퓨터에서 밀집 행렬 연산을 위한 PoLAPACK 패키지를 소개한다. PoLAPACK은 새로운 연산 기법을 적용한 LU, QR, Cholesky 인수분해 알고리즘들을 포함하고 있다. 블록순환분산법으로 분산되어 있는 행렬에 알고리즘적인 블록 기법(algorithimic blocking)을 적용하여, 실제 행렬의 분산에 사용된 블록의 크기와 다른, 최대의 성능을 보일 수 있는 최적의 블록 크기로 연산을 수행할 수 있다. 이러한 연산 방식은 분산되어 있는 원래의 행렬 A의 순서를 따르지 않으며, 따라서 최적의 블록 크기로 연산을 수행한 후에 얻어진 해 x를 원래 행렬 분산법을 따라서 재배치하여야 한다. 본 연구는 Cray T3E 컴퓨터에서 구현하였으며 ScaLAPACK의 인수분해 루틴들과 그 성능을 비교.분석하였다.

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A Spatial Split Method for Processing of Region Monitoring Queries (영역 모니터링 질의 처리를 위한 공간 분할 기법)

  • Chung, Jaewoo;Jung, HaRim;Kim, Ung-Mo
    • Journal of Internet Computing and Services
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    • v.19 no.1
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    • pp.67-76
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    • 2018
  • This paper addresses the problem of efficient processing of region monitoring queries. The centralized methods used for existing region monitoring query processing assumes that the mobile object periodically sends location-updates to the server and the server continues to update the query results. However, a large amount of location updates seriously degrade the system performance. Recently, some distributed methods have been proposed for region monitoring query processing. In the distributed methods, the server allocates to all objects i) a resident domain that is a subspace of the workspace, and ii) a number of nearby query regions. All moving objects send location updates to the server only when they leave the resident domain or cross the boundary of the query region. In order to allocate the resident domain to the moving object along with the nearby query region, we use a query index structure that is constructed by splitting the workspace recursively into equal halves. However, However, the above index structure causes unnecessary division, resulting in deterioration of system performance. In this paper, we propose an adaptive split method to reduce unnecessary splitting. The workspace splitting is dynamically allocated i) considering the spatial relationship between the query region and the resultant subspace, and ii) the distribution of the query region. We proposed an enhanced QR-tree with a new splitting method. Through a set of simulations, we verify the efficiency of the proposed split methods.

A Study On The Eigen-properties of A 2-D Square Waveguide by the Krylov-Schur Iteration Method (Krylov-Schur 순환법에 의한 2차원 사각도파관에서의 고유치 문제에 관한 연구)

  • Kim, Yeong Min;Kim, Dongchool;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.28-35
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    • 2013
  • The Krylov-Schur algorithm has been applied to reveal the eigen-properties of the wave guide having the square cross section. The eigen-matrix equation has been constructed from FEM with the basis function of the tangential edge-vectors of the triangular element. This equation has been treated firstly with Arnoldi decomposition to obtain a upper Hessenberg matrix. The QR algorithm has been carried out to transform it into Schur form. The several eigen values satisfying the convergent condition have appeared in the diagonal components. The eigen-modes for them have been calculated from the inverse iteration method. The wanted eigen-pairs have been reordered in the leading principle sub-matrix of the Schur matrix. This sub-matrix has been deflated from the eigen-matrix equation for the subsequent search of other eigen-pairs. These processes have been conducted several times repeatedly. As a result, a few primary eigen-pairs of TE and TM modes have been obtained with sufficient reliability.

Design and Implementation of FPGA Based Real-Time Adaptive Beamformer for AESA Radar Applications (능동위상배열 레이더 적용을 위한 FPGA 기반 실시간 적응 빔 형성기 설계 및 구현)

  • Kim, Dong-Hwan;Kim, Eun-Hee;Park, Jong-Heon;Kim, Seon-Joo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.4
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    • pp.424-434
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    • 2015
  • Adaptive beamforming algorithms have been widely used to remove interference and jamming in the phased array radar system. Advances in the field programmable gate array(FPGA) technology now make possible the real time processing of adaptive beamforming (ABF) algorithm. In this paper, the FPGA based real-time implementation method of adaptive beamforming system(beamformer) in the pre-processor module for active electronically scanned array(AESA) radar is proposed. A compact FPGA-based adaptive beamformer is developed using commercial off the shelf(COTS) FPGA board with communication via OpenVPX(Virtual Path Cross-connect) backplane. This beamformer comprises a number of high speed complex processing including QR decomposition & back substitution for matrix inversion and complex vector/matrix calculations. The implemented result shows that the adaptive beamforming patterns through FPGA correspond with results of simulation through Matlab. And also confirms the possibility of application in AESA radar due to the real time processing of ABF algorithm through FPGA.

Sampling Set Selection Algorithm for Weighted Graph Signals (가중치를 갖는 그래프신호를 위한 샘플링 집합 선택 알고리즘)

  • Kim, Yoon Hak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.1
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    • pp.153-160
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    • 2022
  • A greedy algorithm is proposed to select a subset of nodes of a graph for bandlimited graph signals in which each signal value is generated with its weight. Since graph signals are weighted, we seek to minimize the weighted reconstruction error which is formulated by using the QR factorization and derive an analytic result to find iteratively the node minimizing the weighted reconstruction error, leading to a simplified iterative selection process. Experiments show that the proposed method achieves a significant performance gain for graph signals with weights on various graphs as compared with the previous novel selection techniques.

The Segmented Polynomial Curve Fitting for Improving Non-linear Gamma Curve Algorithm (비선형 감마 곡선 알고리즘 개선을 위한 구간 분할 다항식 곡선 접합)

  • Jang, Kyoung-Hoon;Jo, Ho-Sang;Jang, Won-Woo;Kang, Bong-Soon
    • Journal of the Institute of Convergence Signal Processing
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    • v.12 no.3
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    • pp.163-168
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    • 2011
  • In this paper, we proposed non-linear gamma curve algorithm for gamma correction. The previous non-linear gamma curve algorithm is generated by the least square polynomial using the Gauss-Jordan inverse matrix. However, the previous algorithm has some weak points. When calculating coefficients using inverse matrix of higher degree, occurred truncation errors. Also, only if input sample points are existed regular interval on 10-bit scale, the least square polynomial is accurately works. To compensate weak-points, we calculated accurate coefficients of polynomial using eigenvalue and orthogonal value of mat11x from singular value decomposition (SVD) and QR decomposition of vandemond matrix. Also, we used input data part segmentation, then we performed polynomial curve fitting and merged curve fitting results. When compared the previous method and proposed method using the mean square error (MSE) and the standard deviation (STD), the proposed segmented polynomial curve fitting is highly accuracy that MSE under the least significant bit (LSB) error range is approximately $10^{-9}$ and STD is about $10^{-5}$.

The Various biofunctional effects(anticarcinogenic, antioxidative and lypolytic activity) of Pohang buchu (포항 부추의 생화학적 기능성 효과)

  • Hwang, Cher-Won;Shin, Hyun-Kil;Do, Myoung-Sool;Kim, Yun-Joo;Park, Jong-Heum;Choi, Young-Sub;Joo, Woo-Hong
    • Korean Journal of Food Science and Technology
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    • v.33 no.3
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    • pp.279-281
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    • 2001
  • Leek(Allium tuberosum Rotter) is a korean traditional herb of which leaves are used for daily food. In order to improve the potency of leek as a functional food, we investigated the several biochemical functions in vitro. The quinone reductase activity, an anticarcinogenic enzyme, was induced 2 times at the concentration of 1mg/ml of leek as compared to that of negative control(80% methanol). The induction of SOD(Superoxide dismutase) activity was also demonstrated. But the functional activities of leek were shown to be a little difference depending on the place where the leek was produced. The difference might to be due to the different environmental factors where affects the growth of leek. In an experiment to test the lypolytic activity of leek, the glycerol release was significantly increased(about 3 times to that of negative control). This was suggested that leek can be considered as a potential food for diet. The above results provide the potential food, and more profound research is requested.

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An Approximated RLS Algorithm for Adaptive Parameter Estimation (적응 파라미터 예측을 위한 근사화된 RLS 알고리즘)

  • Ahn, Bong-Man;Hwang, Jee-Won;Ryoo, Jung-Rae;Cho, Ju-Phil
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.922-928
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    • 2007
  • This paper presents the fast adaptive algorithm which applies an approximation scheme into RLS algorithm. The proposed algorithm(D-RLS) derives a QRD RLS algorithm derivation process from RLS algorithm recursively. D-RLS has the similar pattern as the algorithm having the approximation that input signals are separated respectively. Computational complexity of D-RLS is O(N), fewer than $O(N^2)$. To evaluate performance of proposed algorithm, we use the system identification method of FIR and Volterra system. And, finally, we can show D-RLS has an excellent performance.

A Signal Detection Method based on the Double Detection for Spatially Multiplexed MIMO Systems (다중 안테나 시스템을 위한 이중 검출 기반의 신호검출 기법)

  • Kim, Jung-Hyun;Bahng, Seung-Jae;Park, Youn-Ok
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.6C
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    • pp.634-641
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    • 2009
  • The goal of OSIC-series detection methods is to approach the ML performance with feasible complexity. However, since they sometimes suffer from the empty vector problem, they can not achieve the soft-output ML performance or many candidate vectors are required to achieve the soft-output ML performance. In this paper, we propose the novel detection method, which can generate the reliable soft-outputs without suffering from empty vector problem. The proposed detector can approach the near soft-output ML performance as well as hard-output. Further, the complexity study shows that the proposed detection method has the lowest complexity compared to the other detectors having the near ML performance.

Design and Implementation of Hi-speed/Low-power Extended QRD-RLS Equalizer using Systolic Array and CORDIC (시스톨릭 어레이 구조와 CORDIC을 사용한 고속/저전력 Extended QRD-RLS 등화기 설계 및 구현)

  • Moon, Dae-Won;Jang, Young-Beom;Cho, Yong-Hoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.6
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    • pp.1-9
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    • 2010
  • In this paper, we propose a hi-speed/low-power Extended QRD-RLS(QR-Decomposition Recursive Least Squares) equalizer with systolic array structure. In the conventional systolic array structure, vector mode CORDIC on the boundary cell calculates angle of input vector, and the rotation mode CORDIC on the internal cell rotates vector. But, in the proposed structure, it is shown that implementation complexity can be reduced using the rotation direction of vector mode CORDIC and rotation mode CORDIC. Furthermore, calculation time can be reduced by 1/2 since vector mode and rotation mode CORDIC operate at the same time. Through HDL coding and chip implementation, it is shown that implementation area is reduced by 23.8% compared with one of conventional structure.