• 제목/요약/키워드: QR decomposition

검색결과 82건 처리시간 0.017초

QR 분해법을 이용한 적응 쌍선형 격자 알고리듬 (QR-Decomposition based Adaptive Bbilinear Lattice Algorithms)

  • 안봉만;황지원;백흥기
    • 전자공학회논문지B
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    • 제31B권10호
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    • pp.32-43
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    • 1994
  • This paper presents new QRD-based recursive least squares algorithms for bilinear lattice filter. Bilinear recursive least square lattice algorithms are derived by using the QR decomposition for minimization covariance matrix of predication error by applying Givens rotation to the bilinear recursive least squares lattics algorithms. The proposed algorithms are applied to the bilinear system identification to evaluate the performance of algoithms. Computer simulations show that the convergence properties of the proposed algorithms are superior to that of the algorithms proposed by Baik when signal includes the measurement noise.

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2회전 CORDIC을 이용한 QRD-RLS 알고리듬 구현 (QRD-RLS Algorithm Implementation Using Double Rotation CORDIC)

  • 최민호;송상섭
    • 한국통신학회논문지
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    • 제29권5C호
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    • pp.692-699
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    • 2004
  • 본 논문에서는 변경된 Given회전을 이용한 QR 분해와 이를 기반으로 하는 RLS 알고리듬의 구현에 대하여 연구하였다. Givens 회전은 CORDIC(Coordinate Rotation Digital Computer) 연산을 반복 수행하여 구한다. QR 분해의 계산 시간을 줄이기 위해 1회의 Givens 회전에 필요한 CORDIC 연산의 반복 회수를 제한하였으며 보정계수를 계산할 때의 제곱근 계산을 없애기 위해 2회전 방법을 사용하였다.

다중 입력 다중 출력 통신 시스템을 위한 저 복잡도의 Joint QR decomposition-Lattice Reduction 프로세서 (A Low-Complexity Processor for Joint QR decomposition and Lattice Reduction for MIMO Systems)

  • 박민우;이상우;김태환
    • 전자공학회논문지
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    • 제52권8호
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    • pp.40-48
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    • 2015
  • 본 논문에서는 다중 입력 다중 출력 시스템을 위한 전 처리 과정인 QR Decomposition (QRD) 과 Lattice Reduction (LR)에 대하여, 두 과정의 연산의 공유성을 바탕으로 이를 공동으로 처리하는 프로세서를 제안한다. 제안하는 전 처리 프로세서는 다중 사이클 아키텍처로 설계하여 하드웨어 복잡도를 낮추었고, 두 전 처리 과정을 채널 환경에 따라 선택적으로 수행한다. 제안하는 전 처리 프로세서는 $0.18-{\mu}m$ CMOS공정의 셀 라이브러리를 사용하여 139K의 논리 게이트로 구현되었고, 최대 117MHz의 동작주파수에서 $8{\times}8$ 행렬에 대한 QRD와 LR의 수행에 대하여 $5{\mu}s$의 latency를 갖는다.

QR 알고리즘을 이용한 프렉탈 영상압축 (Fractal Image Compression Using QR Algorithm)

  • 한군희;김태호;전병민
    • 한국산업융합학회 논문집
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    • 제3권4호
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    • pp.369-378
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    • 2000
  • Conventional fractal image compression methods have many problems in searching time for matching domain block. Proposed method is an improved method of Fisher's Quadtree Decomposition in terms of time, compression ratio, and PSNR. This method determines range block in advance using QR algorithm. First, input image is partitioned to $4{\times}4$ range block and then recomposition is performed from bottom level to specified level. As a result, this proposed method achieves high encoding and decoding speed, high compression ratio, and high PSNR than Fisher's Quadtree Decomposition method.

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탄성기계 시스템의 동적 거동 해석을 위한 수치 적분 알고리즘 개선에 관한 연구 (A Study on the Improvement of Numeric Integration Algorithm for the Dynamic Behavior Analysis of Flexible Machine Systems)

  • 김외조;김현철
    • 한국산업융합학회 논문집
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    • 제4권1호
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    • pp.87-94
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    • 2001
  • In multibody dynamics, differential and algebraic equations which can satisfy both equation of motion and kinematic constraint equation should be solved. To solve this equation, coordinate partitioning method and constraint stabilization method are commonly used. The coordinate partitioning method divides the coordinate into independent and dependent coordinates. The most typical coordinate partitioning method arc LU decomposition, QR decomposition, projection method and SVD(sigular value decomposition).The objective of this research is to find a efficient coordinate partitioning method in flexible multibody systems and a hybrid decomposition algorithm which employs both LU and projection methods is proposed. The accuracy of the solution algorithm is checked with a slider-crank mechanism.

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Iterative identification methods for ill-conditioned processes

  • Lee, Jietae;Cho, Wonhui;Edgar, Thomas F.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1762-1765
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    • 1997
  • Some ill-conditioned processes are very sensitive to small element-wise uncertainties arising in classical element-by-element model identifications. For such processes, accurate identification of simgular values and right singular vectors are more important than theose of the elements themselves. Singular values and right singular vectors can be found by iteraive identification methods which implement the input and output transformations iteratively. Methods based on SVD decomposition, QR decomposition and LU decomposition are proposed and compared with the Kuong and Mac Gregor's method. Convergence proofs are given. These SVD and QR mehtods use normal matrices for the transformations which cannot be calculated analytically in general and so they are hoard to apply to dynamic processes, whereas the LU method used simple analyitc transformations and can be directly applied to dynamic processes.

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QR DECOMPOSITION IN NONLINEAR EXPERIMENTAL DESIGN

  • Oh, Im-Geol
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제2권2호
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    • pp.133-140
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    • 1995
  • The D-optimal design criterion for precise parameter estimation in nonlinear regression analysis is called the determinant criterion because the determinant of a matrix is to be maximized. In this thesis, we derive the gradient and the Hessian of the determinant criterion, and apply a QR decomposition for their efficient computations. We also propose an approximate form of the Hessian matrix which can be calculated from the first derivative of a model function with respect to the design variables. These equations can be used in a Gauss-Newton type iteration procedure.

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적응배열 알고리즘을 이용한 광대역 재밍 신호 제거 (Wideband Jamming Signal Remove Using Adaptive Array Algorithm)

  • 이관형
    • 한국정보전자통신기술학회논문지
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    • 제12권4호
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    • pp.419-424
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    • 2019
  • 본 논문에서는 광대역 재밍 신호 환경에서 원하는 목표물을 추정하기 위한 알고리즘을 제안 한다. 재밍 신호를 억제하는 방법으로, 본 연구에서는 시공간적응 알고리즘과 QR분해를 사용하여 최적의 가중치를 획득한다. 시공간적응 알고리즘은 적응배열안테나시스템에서 탭 지연 신호에 복소 가중치를 곱하여 가중치를 생성하고, 역행렬로 인한 전력소모를 최소화하기 위해서 QR분해를 이용하여 최적의 가중치를 획득한다. 모의실험을 통하여, 본 연구에서 제안한 알고리즘과 기존 알고리즘의 성능을 비교 분석한다. [-40o,0o,+40o]의 목표물 추정에서 본 연구에서 제안 한 알고리즘이 3개의 목표물을 모두 추정하였지만 기존 알고리즘은 재밍 신호 때문에 [0o]에서만 추정하였다. 본 연구의 제안 알고리즘이 재밍 신호를 제거하고 원하는 목표물을 정확히 추정하여 성능이 향상되었음을 입증하였다.

측정연산자에 의한 병렬기구 틸팅 테이블의 관측성에 관한 연구 (Study on the Observability of a Calibration System for a Parallel Tilting Table with Measuerment Operator)

  • 박근우;이민기;김태성
    • 대한기계학회논문집A
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    • 제29권6호
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    • pp.795-803
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    • 2005
  • This paper studies the observability of calibration system with a measurement operator. The calibration system needs a simple digital indicator to measure the mobile table movements with respect to the MC coordinate. However, it yields the concern about the poor parameter observability due to measuring only a part of the movements. We uses the QR-decomposition to find the optimal calibration configurations maximizing the linear independence of rows of an observation matrix. The number of identifiable parameter is examined by the rank of the observation matrix, which represents the parameter observability. The method is applied to a 6-axis MC with parallel tilting table and the calibration results are presented. These results verify that all necessary kinematic parameters are observable and the calibration system has robustness to the noise using optimal calibration configurations.

구속연산자에 의한 보정 시스템의 관측성에 관한 연구 (Study on the Observability of Calibration System with a Constraint Oprerator)

  • 이민기;김태성;박근우
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.647-655
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    • 2003
  • This paper studies the observability of calibration system with a constraint movement by a constraint operator. The calibration system with the constraint movement need only simple sensing device to check whether the constraint movements are completed within an established range. However, it yields the concern about the poor parameter observability due to the constraint movements. This paper uses the QR-decomposition to find the optimal calibration configurations maximizing the linear independence of rows of a observation matrix. The number of identifiable parameters are examined by the rank of the observation matrix, which represents the parameter observability. The method is applied to a parallel typed machining center and the calibration results are presented. These results verify that the calibration system with low-cost indicators and simple planar table is accurate as well as reliable.