• 제목/요약/키워드: System Matrix

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Least squares decoding in binomial frequency division multiplexing

  • Myungsup Kim;Jiwon Jung;Ki-Man Kim
    • ETRI Journal
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    • 제45권2호
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    • pp.277-290
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    • 2023
  • This paper proposes a method that can reduce the complexity of a system matrix by analyzing the characteristics of a pseudoinverse matrix to receive a binomial frequency division multiplexing (BFDM) signal and decode it using the least squares (LS) method. The system matrix of BFDM can be expressed as a band matrix, and as this matrix contains many zeros, its amount of calculation when generating a transmission signal is quite small. The LS solution can be obtained by multiplying the received signal by the pseudoinverse matrix of the system matrix. The singular value decomposition of the system matrix indicates that the pseudoinverse matrix is a band matrix. The signal-to-interference ratio is obtained from their eigenvalues. Meanwhile, entries that do not contribute to signal generation are erased to enhance calculation efficiency. We decode the received signal using the pseudoinverse matrix and the removed pseudoinverse matrix to obtain the bit error rate performance and to analyze the difference.

저차모델계통의 계통행렬의 구조 (Structure of System Matrix of one Machine System with Controllers)

  • 권세혁
    • 대한전기학회논문지
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    • 제39권11호
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    • pp.1146-1152
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    • 1990
  • Direct calculation algorithm for the nonzero elements of system matrix is suggested for a single machine connected to the infinite bus. Excitation system and power system stabilizer are included. When the system matrix is partitioned into 15 nonzero blocks, we can identify the location of nonzero elements and formula for each element. No matrix inversion and multiplication are necessary. Sensitivity coefficients with respect to controller parameters are suggested based on the structure of system matrix.

A Study on Linear Matrix Inequalities Robust Active Suspension Control System Design Algorithm

  • Park, Jung-Hyen
    • Journal of information and communication convergence engineering
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    • 제6권1호
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    • pp.105-109
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    • 2008
  • A robust optimal control system design algorithm in active suspension equipment adopting linear matrix inequalities control system design theory is presented. The validity of the linear matrix inequalities robust control system design in active suspension system through the numerical examples is also investigated.

ON NEWTON'S METHOD FOR SOLVING A SYSTEM OF NONLINEAR MATRIX EQUATIONS

  • Kim, Taehyeong;Seo, Sang-Hyup;Kim, Hyun-Min
    • East Asian mathematical journal
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    • 제35권3호
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    • pp.341-349
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    • 2019
  • In this paper, we are concerned with the minimal positive solution to system of the nonlinear matrix equations $A_1X^2+B_1Y +C_1=0$ and $A_2Y^2+B_2X+C_2=0$, where $A_i$ is a positive matrix or a nonnegative irreducible matrix, $C_i$ is a nonnegative matrix and $-B_i$ is a nonsingular M-matrix for i = 1, 2. We apply Newton's method to system and present a modified Newton's iteration which is validated to be efficient in the numerical experiments. We prove that the sequences generated by the modified Newton's iteration converge to the minimal positive solution to system of nonlinear matrix equations.

LP 프로그램을 위한 프로그램 언어 및 자료구조의 설계

  • 이시우;진희채;박순달
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 1993년도 추계학술대회발표논문집; 서강대학교, 서울; 25 Sep. 1993
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    • pp.50-50
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    • 1993
  • 이 연구는 선형계획법을 위하여 개발된 프로그램들의 언어 및 자료 구조에 대한 차이를 비교, 분석하고자 한다. 선형계획법을 위하여 사용된 언어로는 C, PASCAL, FORTRAN이 있고 자료구조로는 Full Matrix형태와 Non-Zero Matrix형태를 고려한다. Non-Zero Matrix에서는 프로그램 언어별로 Cursor-Based System을 비교하고자 한다. 위의 실험을 수행하기 위하여 다음의 연구과정을 수행한다. 첫째, Non-Zero Matrix의 이용을 위한 Cursor-Based System과 Pointer-Based System을 설계한다. 둘째, LP프로그램을 위한 Full Matrix와 Non-Zero Matrix의 효율적인 자료구조를 구축한다. 세째, 프로그램 언어와 자료구조별로 LP프로그램의 성능을 비교분석한다.

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Matrix Pencil을 이용한 모델 저차화의 새로운 접근방법 (A new approach to model reduction using matrix pencil method)

  • 권혁성;정정주;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.105-108
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    • 1997
  • This paper proposes a new approach of balanced model reduction using matrix pencil. The algorithm presented in this paper is to convert full-rank high-order system into rank-deficient system using perturbation made by matrix pencil method. Then the system can be truncated to a low-order system that we want via balanced realization. We discuss the comparison with other methods and the various observations by simulations.

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Gate Matrix 레이아웃 생성 시스템의 구현 (Implementation of a Layout Generation System for the Gate Matrix Style)

  • 김상범;황선영
    • 전자공학회논문지A
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    • 제30A권5호
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    • pp.52-62
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    • 1993
  • This paper describes the implementation of a layout generation system for the gate matrix style to implement multi-level logic. To achieve improved layouts from general net lists, the proposed system performs flexible net binding for series nets. Also the system reassings gates by the heuristic information that shorter net lengths are better for the track minimization. By track minimizing with subdividing layout column information, the system decreases the number of necessary layout tracks. Experimental results show that the system generates more area-reduced (approximately 7.46%) layouts than those by previous gate matrix generation systems using net list inputs.

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매트릭스 시스템에 따른 유구치 인접면 수복물에 대한 3D 스캐너를 이용한 형태학적 평가: 실험실적 연구 (Morphological Assessment of Proximal Restoration Depending on Different Matrix Systems in Primary Molars with a 3D Scanner: In Vitro Studies)

  • 신혜원;이난영;송주헌;김준성;지명관
    • 대한소아치과학회지
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    • 제50권4호
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    • pp.396-408
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    • 2023
  • 이 연구의 목적은 유구치를 재현한 인공치를 대상으로 인접면 복합레진 수복 시 매트릭스 시스템에 따른 인접면의 외형, 접촉면의 크기 및 수복 전과 후의 부피 차이를 비교해 보는 것이다. 네 가지 종류의 인공치에 Circumferential 매트릭스 시스템에 해당하는 Tofflemire Matrix System과 Sectional 매트릭스 시스템에 해당하는 Palodent V3 Sectional Matrix System, myJunior Kit를 이용하여 복합레진을 수복하고 3D 모델링 과정을 거쳐 분석되었다. Sectional 매트릭스 시스템을 사용한 경우에서 오목한 인접면 외형이 형성될 확률이 높았으며 더 큰 접촉 면적과 부피가 형성되었다. 이는 Sectional 매트릭스 시스템에 사용되는 매트릭스 밴드의 완전 연질(Dead soft) 특성에 의한 변형으로 인해 접촉점 주변으로 과량의 레진이 적용될 수 있기 때문이다. 게다가 Sectional 매트릭스 시스템에 포함된 고무 웨지가 매트릭스 밴드를 와동에 잘 적합 시키지 못할 가능성이 있다. 따라서 이번 연구의 결과를 바탕으로 유구치 인접면을 Sectional 매트릭스 시스템을 이용해 복합레진 수복하는 경우, 형태학적 관점을 고려한 신중한 사용이 요구된다.

대전력계통의 고장해석에 관한 효추적인 계산방법에 관한 연구 (An Effective Fault Analysis Method in Large Scale Power System)

  • Jai-Kil Chung;Gi-Sig Byun
    • 대한전기학회논문지
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    • 제32권12호
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    • pp.435-440
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    • 1983
  • The methods of forming the bus impedance matrix, which is mainly employed in fault analysis of power system, can be generally classified in catagories, (1) the one being the inverse matrix of bus admittance matrix, and (2) the other the bus impedance matrix succesive formation method by particular algorithms. The former method is theouetically elegant, but the formation and inverse of complex bus admittance matrix for large power system requires too much amounts of computer memory space and computing time. The latter method also requires too much memory space. Therefore, in this paper, an algorithm and computer program is introduced for the formation of a sparse bus impedance matrix which generates only the matching terms of the admittance matrix. So, this method can reduce the computer memory and computing time, and can be applied to fault analysis of large power system by small digital computer.