• 제목/요약/키워드: Moment-matching method

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Krylov 부공간에 근거한 모멘트일치법을 이용한 모델차수축소법 및 배열형 MEMS 공진기 주파수응답함수 계산에의 응용 (Model Order Reduction Using Moment-Matching Method Based on Krylov Subspace and Its Application to FRF Calculation for Array-Type MEMS Resonators)

  • 한정삼;고진환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.436-441
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    • 2008
  • One of important factors in designing array-type MEMS resonators is obtaining a desired frequency response function (FRF) within a specific range. In this paper Krylov subspace-based model order reduction using moment-matching with non-zero expansion points is represented to calculate the FRF of array-type resonators. By matching moments at a frequency around a specific range of the array-type resonators, required FRFs can be efficiently calculated with significantly reduced systems regardless of their operating frequencies. In addition, because of the characteristics of moment-matching method, a minimal order of reduced system with a specified accuracy can be determined through an error indicator using successive reduced models, which is very useful to automate the order reduction process and FRF calculation for structural optimization iterations.

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Fingerprint Verification Based on Invariant Moment Features and Nonlinear BPNN

  • Yang, Ju-Cheng;Park, Dong-Sun
    • International Journal of Control, Automation, and Systems
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    • 제6권6호
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    • pp.800-808
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    • 2008
  • A fingerprint verification system based on a set of invariant moment features and a nonlinear Back Propagation Neural Network(BPNN) verifier is proposed. An image-based method with invariant moment features for fingerprint verification is used to overcome the demerits of traditional minutiae-based methods and other image-based methods. The proposed system contains two stages: an off-line stage for template processing and an on-line stage for testing with input fingerprints. The system preprocesses fingerprints and reliably detects a unique reference point to determine a Region-of-Interest(ROI). A total of four sets of seven invariant moment features are extracted from four partitioned sub-images of an ROI. Matching between the feature vectors of a test fingerprint and those of a template fingerprint in the database is evaluated by a nonlinear BPNN and its performance is compared with other methods in terms of absolute distance as a similarity measure. The experimental results show that the proposed method with BPNN matching has a higher matching accuracy, while the method with absolute distance has a faster matching speed. Comparison results with other famous methods also show that the proposed method outperforms them in verification accuracy.

모델차수축소법을 이용한 효율적인 진동해석 (Efficient Vibration Simulation Using Model Order Reduction)

  • 한정삼
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.310-317
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    • 2006
  • Currently most practical vibration and structural problems in automotive suspensions require the use of the finite element method to obtain their structural responses. When the finite element model has a very large number of degrees of freedom the harmonic and dynamic analyses are computationally too expensive to repeat within a feasible design process time. To alleviate the computational difficulty, this paper presents a moment-matching based model order reduction (MOR) which reduces the number of degrees of freedom of the original finite element model and speeds up the necessary simulations with the reduced-size models. The moment-matching model reduction via the Arnoldi process is performed directly to ANSYS finite element models by software mor4ansys. Among automotive suspension components, a knuckle is taken as an example to demonstrate the advantages of this approach for vibration simulation. The frequency and transient dynamic responses by the MOR are compared with those by the mode superposition method.

Point Matching Method를 이용한 접지된 유전체층 위의 저항띠 격자구조에 의한 TE 산란 해석 (Analysis of TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Layer Using Point Matching Method)

  • 윤의중
    • 한국항행학회논문지
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    • 제18권4호
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    • pp.371-375
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    • 2014
  • 본 논문에서는 접지된 유전체층 위의 저항띠 격자구조에 의한 TE (transverse electric)산란 문제를 전자파 수치해석 방법으로 알려진 PMM (point matching method)를 이용하여 해석하였다. 경계조건들은 미지의 계수를 구하기 위하여 이용하였고, 저항 경계조건은 저항띠 위의 접선성분의 자계와 표면전류밀도와의 관계를 위해 적용하였고, 저항띠에 유도되는 전류밀도는 저항띠 영역의 두 경계면에서 자계의 차이에 의해 계산하였다. 저항띠의 표면에 유도 전류 밀도는 자계의 두 경계면의 위와 아래 차이에 의해 계산하였다. 저항띠의 균일저항율, 폭과 주기, 유전층의 비유전율과 두께 및 입사각에 대해 정규화된 기하광학적 반사전력을 계산하였다. 수치결과들은 기존의 FGMM (fourier galerkin moment method)를 이용한 수치해석 결과들과 비교하여 매우 잘 일치하였다.

실외 이동로봇의 고도지도 기반 위치인식을 위한 고도관성모멘트 추출 및 정합 (Extraction and Matching of Elevation Moment of Inertia for Elevation Map-based Localization of an Outdoor Mobile Robot)

  • 권태범;송재복;강신천
    • 제어로봇시스템학회논문지
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    • 제15권2호
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    • pp.203-210
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    • 2009
  • The problem of outdoor localization can be practically solved by GPS. However, GPS is not perfect and some areas of outdoor navigation should consider other solutions. This research deals with outdoor localization using an elevation map without GPS. This paper proposes a novel feature, elevation moment of inertia (EMOI), which represents the distribution of elevation as a function of distance from a robot in the elevation map. Each cell of an elevation map has its own EMOI, and outdoor localization can be performed by matching EMOIs obtained from the robot and the pre-given elevation map. The experiments and simulations show that the proposed EMOI can be usefully exploited for outdoor localization with an elevation map and this feature can be easily applied to other probabilistic approaches such as Markov localization method.

크리로프 부공간법에 근거한 모델차수축소기법을 통한 배열형 MEMS 공진기의 주파수응답해석 (Frequency Response Analysis of Array-Type MEMS Resonators by Model Order Reduction Using Krylov Subspace Method)

  • 한정삼;고진환
    • 대한기계학회논문집A
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    • 제33권9호
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    • pp.878-885
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    • 2009
  • One of important factors in designing MEMS resonators for RF filters is obtaining a desired frequency response function (FRF) within a specific frequency range of interest. Because various array-type MEMS resonators have been recently introduced to improve the filter characteristics such as bandwidth, pass-band, and shape factor, the degrees of freedom (DOF) of finite elements for their FRF calculation dramatically increases and therefore raises computational difficulties. In this paper the Krylov subspace-based model order reduction using moment-matching with non-zero expansion points is represented as a numerical solution to perform the frequency response analyses of those array-type MEMS resonators in an efficient way. By matching moments at a frequency around the specific operation range of the array-type resonators, the required FRF can be efficiently calculated regardless of their operating frequency from significantly reduced systems. In addition, because of the characteristics of the moment-matching method, a minimal order of reduced system with a prearranged accuracy can be determined through an error indicator using successive reduced models, which is very useful to automate the order reduction process and FRF calculation for structural optimization iterations. We also found out that the presented method could obtain the FRF of a $6\times6$ array-type resonator within a seventieth of the computational time necessary for the direct method and in addition FRF calculation by the mode superposition method could not even be completed because of a data overflow with a half after calculation of 9,722 eigenmodes.

모멘트 대입법에 의한 전력부족 기대치와 빈도수의 산정 (Calculation of Loss of Load Expectation and Loss of Load Frequency using a Moment matching method)

  • 유현호;김진오
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 C
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    • pp.1076-1078
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    • 1998
  • This paper proposes a new approach for calculating frequency and duration by using the moment matching technique. Two separate expressions are derived, one for the loss of load expectation(LOLE) and the other for the loss of load frequency(LOLF). These expressions are combination of exponentials and are therefore easily integrable and can be readily evaluated. The proposed approach is quite comparable of with the other methods at the aspect of accuracy and efficiency.

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주파수영역에서 선형시스템 간략화를 위한 새로운 방법 (A New Method for Approximation of Linear System in Frequency Domain)

  • Kwon, Oh-Shin
    • 대한전자공학회논문지
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    • 제24권4호
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    • pp.583-589
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    • 1987
  • A new approximation method is proposed for the linear model reduction of high order dynamic systems. This mehtod is based upon the denominator table(D-table) and time moment-matching technique. The denominator table(D-table) is used to obtain the denominator polynomial of reduced-order model, and the numerator polynomial is obtained by time moment-matching method. This proposed method does not require the calculation of the alpha-beta expansion and reciprocal transformation which should be calculadted by Routh approximation method. The advantages of the proposed method are that it is computationally every attractive better than Routh approximation method and the reduced model is stable Il the original system is stable.

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끝단면에 ?을 갖는 원통주의 전류분포 해석 (Analysis of Current Distribution on Cylinders with End Cap)

  • 이강호;김정기
    • 한국통신학회논문지
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    • 제15권11호
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    • pp.879-885
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    • 1990
  • 준정적 근사법을 적용하여 평탄한 단면(End cap)을 포함하는 회전체에 유기되는 전류에 대한 적분방정식을 유도하고 모멘트법을 이용해서 해석하였다. 수체해석시 기저함수로 Cubic B Spline 함수, 가중함수로 델타함수를 사용한 Point Matching Method를 사용하였다. 또한 끝단에 둥근타원체(Spheroidal end cap)를 갖는 경우 및 평탄한 단면을 갖는 원통주의 구조변수 변화에 따른 영향관계를 해석하였다.

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유전체층 위의 완전도체띠 격자구조에 의한 TE 산란에 관한 연구 (A Study on TE Scattering by a Conductive Strip Grating Over a Dielectric Layer)

  • 윤의중
    • 한국산학기술학회논문지
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    • 제16권6호
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    • pp.4158-4163
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    • 2015
  • 본 논문에서는 유전체층 위의 완전도체띠 격자구조에 의한 TE(transverse electric)산란 문제를 전자파 수치해석 방법으로 알려진 FGMM(fourier-Galerkin moment method) 및 PMM(point matching method)을 이용하여 해석하였다. 산란전자계는 Floquet 모드함수의 급수로 전개하였고, 경계조건은 미지의 계수를 구하기 위하여 적용하였으며, 완전도체의 경계조건은 접선성분의 전계와 스트립위에 유도되는 전류와의 관계를 이용하였다. 도체띠의 폭과 주기, 유전층의 비유전율과 두께 및 입사각에 대해 정규화된 기하광학적 반사 및 투과전력을 계산하였다. 전반적으로 유전체층의 비유전율이 증가할수록 기하광학적 정규화된 반사전력이 증가하였다. 본 논문의 정확도를 검증하기 위하여 FGMM의 수치결과들은 PMM을 이용한 수치계산 결과들과 비교하여 매우 잘 일치하였다.