• 제목/요약/키워드: Matrix Computation

검색결과 457건 처리시간 0.025초

A comparative study of low-complexity MMSE signal detection for massive MIMO systems

  • Zhao, Shufeng;Shen, Bin;Hua, Quan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권4호
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    • pp.1504-1526
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    • 2018
  • For uplink multi-user massive MIMO systems, conventional minimum mean square error (MMSE) linear detection method achieves near-optimal performance when the number of antennas at base station is much larger than that of the single-antenna users. However, MMSE detection involves complicated matrix inversion, thus making it cumbersome to be implemented cost-effectively and rapidly. In this paper, we first summarize in detail the state-of-the-art simplified MMSE detection algorithms that circumvent the complicated matrix inversion and hence reduce the computation complexity from ${\mathcal{O}}(K^3)$ to ${\mathcal{O}}(K^2)$ or ${\mathcal{O}}(NK)$ with some certain performance sacrifice. Meanwhile, we divide the simplified algorithms into two categories, namely the matrix inversion approximation and the classical iterative linear equation solving methods, and make comparisons between them in terms of detection performance and computation complexity. In order to further optimize the detection performance of the existing detection algorithms, we propose more proper solutions to set the initial values and relaxation parameters, and present a new way of reconstructing the exact effective noise variance to accelerate the convergence speed. Analysis and simulation results verify that with the help of proper initial values and parameters, the simplified matrix inversion based detection algorithms can achieve detection performance quite close to that of the ideal matrix inversion based MMSE algorithm with only a small number of series expansions or iterations.

동시발생 행렬과 하둡 분산처리를 이용한 추천시스템에 관한 연구 (A Study On Recommend System Using Co-occurrence Matrix and Hadoop Distribution Processing)

  • 김창복;정재필
    • 한국항행학회논문지
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    • 제18권5호
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    • pp.468-475
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    • 2014
  • 추천시스템은 선호 데이터가 대형화, 컴퓨터 처리능력과 추천 알고리즘 등에 의해 실시간 추천이 어려워지고 있다. 이에 따라 추천시스템은 대형 선호데이터를 분산처리 하는 방법에 대한 연구가 활발히 진행되고 있다. 본 논문은 하둡 분산처리 플랫폼과 머하웃 기계학습 라이브러리를 이용하여, 선호데이터를 분산 처리하는 방법을 연구하였다. 추천 알고리즘은 아이템 협업필터링과 유사한 동시발생 행렬을 이용하였다. 동시발생 행렬은 하둡 클러스터의 여러 노드에서 분산처리를 할 수 있으며, 기본적으로 많은 계산량이 필요하지만, 분산처리과정에서 계산량을 줄일 수 있다. 또한, 본 논문은 동시발생 행렬처리의 분산 처리과정을 4 단계에서 3 단계로 단순화하였다. 결과로서, 맵리듀스 잡을 감소할 수 있으며, 동일한 추천 파일을 생성할 수 있었다. 또한, 하둡 의사 분산모드를 이용하여 데이터를 처리하였을 때 빠른 처리속도를 보였으며, 맵 출력 데이터가 감소되었다.

Lyapunov 재설계 방법을 이용한 무인 수상정의 군집 제어 (Formation Control for Unmanned Surface Vessels Using Lyapunov Redesign Method)

  • 우상범;이재용
    • 한국해양공학회지
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    • 제28권4호
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    • pp.363-369
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    • 2014
  • In this paper, a practical controller for a group of USVs is proposed in order to avoid matrix inversion problems in computation. Using nonlinear mapping, a formation composed of nonholonomic agents can be stabilized even when the formation is stationary. Since there is no matrix inversion in computing the control law, the computation complexity can be resolved. A controller for stabilizing the formation errors in the presence of model uncertainty is considered using the Lyapunov redesign method. The asymptotic stability of the formation errors is shown. It is also shown that the proposed controller can be applied to guide a formation to a different shape without modification.

다관절 보의 진동해석 알고리즘의 개발에 관한 연구 (On Development of Vibration Analysis Algorithm of Beam with Multi-Joints)

  • 문덕홍;여동준;최명수
    • Journal of Advanced Marine Engineering and Technology
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    • 제18권5호
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    • pp.68-77
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    • 1994
  • The authors apply the transfer influence coefficient method to the 3-dimensional vibration analysis of beam with multi-joints and formulate a general algorithm to analysis the longitudinal, flexural and torsional coupled free vibration. In this paper, the structure, which is mainly founded in the robot arms, cranes and so on, has some crooked parts, subsystems and joints but has no closed loop in this system. It is modeled as the beam of a distributed mass system with massless translational, rotational and torsional springs in each node, and joint elements of release or roll at which node the displacement vector is discontinuous. The superiorty of the present method to the transfer matrix method in the computation accuracy was confirmed by the numerical computation results. Moreover, we confirmed that boundary and intermediate conditions could ve controlled by varying the values o the spring constants.

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여유 자유도를 갖는 미니퓰레이터의 기구학적 제어를 위한 효율적 계산 방법 (An Efficient Computation Method for Kinematic Control of Redundant Manipulators)

  • 이경수;서일홍;임준홍
    • 대한전자공학회논문지
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    • 제25권4호
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    • pp.379-385
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    • 1988
  • A kinematic control for redundant manipulators is consisdered. An efficient computation method is proposed to determine the joint variable solutions for a given Cartesian path of the end effector. In the proposed method, the Jacobian matrix and its pseudoinverse matrix are calculated intermittently only when the errors exceed the prescribed tolerance. Thereby, the computational burdens are greatly reduced, and at the same time, the errors are maintained within a tolerable range. To show the effectiveness of the mehtod, the result of the simulation is provided in which the redundancy of the manipulator is resolved to avoid the singularity.

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전력시장 해석을 위한 3연 참여 게임의 해법 연구 (A Solution Method of a Three-Player Game for Application to an Electric Power Market)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제52권6호
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    • pp.347-353
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    • 2003
  • In models of imperfect competition of deregulated electricity markets, the key task is to find the Nash equilibrium(NE). The approaches for finding the NE have had two major bottlenecks: computation of mixed strategy equilibrium and treatment of multi-player games. This paper proposes a payoff matrix approach that resolves these bottlenecks. The proposed method can efficiently find a mixed strategy equilibrium in a multi-player game. The formulation of the m condition for a three-player game is introduced and a basic computation scheme of solving nonlinear equalities and checking inequalities is proposed. In order to relieve the inevitable burden of searching the subspace of payoffs, several techniques are adopted in this paper. Two example application problems arising from electricity markets and involving a Cournot and a Bertrand model, respectively, are investigated for verifying the proposed method.

다관절 보의 진동해석 알고리즘 개발에 관한 연구 (II) (On Development of Vibration Analysis Algorithm of Beam with Multi - Joints(II))

  • 문덕홍;최명수;홍숭수;강현석
    • Journal of Advanced Marine Engineering and Technology
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    • 제21권3호
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    • pp.256-266
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    • 1997
  • The authors apply the transfer influence coefficient method to the 3. dimensional vibration analysis of beam with multi - joints and formulate a general algorithm to analyse the longitudinal, flexural and torsional coupled forced vibration. In this paper, a structure which is mainly found in the robot arms, cranes and so on, has some crooked parts, subsystems and joints, but has no closed loop in this system. It is modeled as the beam of a distributed mass system with massless translational, rotational and torsional springs in each node, and joint elements of release or roll at node which the displacement vector is discontinuous. The superiority of the present method to the transfer matrix method in the computation accuracy was confirmed from the numerical computation results. Moreover, we confirmed that boundary and intermediate conditions could be controlled by varying the values of the spring constants.

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전달 시간차 방식 다회선 초음파 가스 유량계 개발 (Study on the Development of Multi-Path Ultrasonic Gas Flowmeter)

  • 황원호;박상국;이치환;장경영
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1046-1050
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    • 2003
  • In this paper, we describe study on the development or multi-path ultrasonic gas flowmeter using a transit time method. This system includes 5 pairs of ultrasonic transducers. ultrasonic signal processing unit using switch matrix method, computation algorithm of gas flow rate, spool piece type multi-path pipe unit. We have developed enhanced type of main ultrasonic signal processing unit using switch matrix method fer multi-path ultrasonic gas flowmeter. Also, we have developed the new transmitting & receiving method of ultrasonic waves and the new signal processing algorithm for the computation of ultrasonic transit time from received ultrasonic waves. In this study, we have designed more compact signal processing unit compared with the conventional hardware system of multi-path ultrasonic gas flowmeter. We have confirmed its reliability for multi-path ultrasonic gas flowmeter through the laboratory test using calibration system. In the future. we will perform the field test for the developed system in the POSCO gas line.

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다양한 해석조건을 갖는 항공기에 대한 효율적인 플러터 해석 (Efficient Flutter Analysis for Aircraft with Various Analysis Conditions)

  • 이상욱;김태욱;황인희;백승길
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계 학술대회논문집(수송기계편)
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    • pp.49-52
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    • 2005
  • Flutter analysis procedure can be divided into two steps such as the computation of generalized mass, stiffness, and unsteady aerodynamic matrices and the calculation of major vibration modes frequency and damping values at each flight speed by solving the complex eigenvalue problem. In aircraft flutter analyses, most of the time is spent in the process of computing the unsteady aerodynamic matrices at each Mach-reduced frequency pairs defined. In this study, the method has been presented for computation and extraction of unsteady aerodynamic matrix portions dependent only on aerodynamic model using DMAP ALTER in MSC/NASTRAN SOL 145. In addition, efficient flutter analysis method has been suggested by computing and utilizing the unsteady generalized aerodynamic matrices for each analysis condition using the unsteady aerodynamic matrix portions extracted above.

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신속한 상정사고해석 알고리즘에 관한 연구 (A Study of Fast Contingency Analysis Algorithm)

  • Moon, Young-Hyun
    • 대한전기학회논문지
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    • 제34권11호
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    • pp.421-429
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    • 1985
  • With the rapid increase of contingency cases due to complication of power system, the reduction of computation time in contingency analysis has become more significant than ever before. This paper deals with the development of a fast contingency analysis algorithm by using a matrix decomposition method. The proposed matrix decomposition method of contingency analysis yields an accurate solution by using the original triangular factor table. An outstanding feature of this method is of no need of factor table modification for network changes due to contingency outages. The proposed method is also applicable to multiple contingency analysis withremarkable reduction of computation time. The algorithm has been tested for a number of single and multiple contigencies in 17-bus and 50-bus systems. The numerical results show its applicability to practical power systems.

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