• Title/Summary/Keyword: discrete projection

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Extension of Source Projection Analytic Nodal $S_N$ Method for Analysis of Hexagonal Assembly Cores

  • Kim, Tae-Hyeong;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.28 no.5
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    • pp.488-499
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    • 1996
  • We have extended the source projection analytic nodal discrete ordinates method (SPANDOM) for more flexible applicability in analysis of hexagonal assembly cores. The method (SPANDOM-FH) does not invoke transverse integration but instead solves the discrete ordinates equation analytically after the source term is projected and represented in hybrid form of high-order polynomials and exponential functions. SPANDOM-FH which treats a hexagonal node as one node is applied to two fast reactor benchmark problems and compared with TWOHEX. The results of comparison indicate that the present method SPANDOM-FH predicts accurately $k_eff$ and flux distributions in hexagonal assembly cores. In addition, SPANDOM-FH gives the continuous two dimensional intranodal scalar flux distributions in a hexagonal node. The reentering models between TWOHEX and SPANDOM were also compared and it was confirmed that SPANDOM's model is more realistic. Through the results of benchmark problems, we conclude that SPANDOM-FH has the sufficient accuracy for the nuclear design of fast breeder reactor (FBR) cores with hexagonal assemblies.

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ON THE MARTINGALE PROPERTY OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL

  • Choi, Won
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.241-246
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    • 2013
  • Choi [1] identified and characterized the limiting diffusion of this diploid model by defining discrete generator for the rescaled Markov chain. In this note, we define the operator of projection $S_t$ on limiting diffusion and new measure $dQ=S_tdP$. We show the martingale property on this operator and measure. Also we conclude that the martingale problem for diffusion operator of projection is well-posed.

A Study On Face Feature Points Using Active Discrete Wavelet Transform (Active Discrete Wavelet Transform를 이용한 얼굴 특징 점 추출)

  • Chun, Soon-Yong;Zijing, Qian;Ji, Un-Ho
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.1
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    • pp.7-16
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    • 2010
  • Face recognition of face images is an active subject in the area of computer pattern recognition, which has a wide range of potential. Automatic extraction of face image of the feature points is an important step during automatic face recognition. Whether correctly extract the facial feature has a direct influence to the face recognition. In this paper, a new method of facial feature extraction based on Discrete Wavelet Transform is proposed. Firstly, get the face image by using PC Camera. Secondly, decompose the face image using discrete wavelet transform. Finally, we use the horizontal direction, vertical direction projection method to extract the features of human face. According to the results of the features of human face, we can achieve face recognition. The result show that this method could extract feature points of human face quickly and accurately. This system not only can detect the face feature points with great accuracy, but also more robust than the tradition method to locate facial feature image.

Block-decomposition of a Linear Discrete Large-scale systems Via the Matrix Sign Function (행렬부호 함수에 의한 선형 이산치 대단위 계토의 블럭-분해)

  • 천희영;박귀태;권성하;이창훈
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.11
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    • pp.511-518
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    • 1986
  • An algorithm for block-decomposition of a linear, time-invariant, discrete large-scale systems is presented, based upon the matrix sign function on Z-plane. The block-decomposition is performed by defining a reference circle, a circular stripe and projection operators. Simulation study shows that the presented algorithm is very useful for multivariable control system's analysis and design.

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Dimension-Reduced Audio Spectrum Projection Features for Classifying Video Sound Clips

  • Kim, Hyoung-Gook
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.3E
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    • pp.89-94
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    • 2006
  • For audio indexing and targeted search of specific audio or corresponding visual contents, the MPEG-7 standard has adopted a sound classification framework, in which dimension-reduced Audio Spectrum Projection (ASP) features are used to train continuous hidden Markov models (HMMs) for classification of various sounds. The MPEG-7 employs Principal Component Analysis (PCA) or Independent Component Analysis (ICA) for the dimensional reduction. Other well-established techniques include Non-negative Matrix Factorization (NMF), Linear Discriminant Analysis (LDA) and Discrete Cosine Transformation (DCT). In this paper we compare the performance of different dimensional reduction methods with Gaussian mixture models (GMMs) and HMMs in the classifying video sound clips.

Bandpass Discrete Prolate Spheroidal Sequences and Its Applications to Signal Representation and Interpolation

  • Oh, Jin-Sung
    • Journal of the Institute of Convergence Signal Processing
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    • v.14 no.2
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    • pp.70-76
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    • 2013
  • In this paper, we propose the bandpass form of discrete prolate spheroidal sequences(DPSS) which have the maximal energy concentration in a given passband and as such are very appropriate to obtain a projection of signals. The basic properties of the bandpass DPSS are also presented. Assuming a signal satisfies the finite time support and the essential band-limitedness conditions with a known center frequency, signal representation and interpolation techniques for band-limited signals using the bandpass DPSS are introduced where the reconstructed signal has minimal out-of-band energy. Simulation results are given to present the usefulness of the bandpass DPSS for efficient representation of band-limited signal.

Online Parameter Estimation of SPMSM using Affine Projection Algorithm (Affine Projection 알고리즘을 이용한 표면 부착형 영구자석 전동기의 온라인 파라미터 추정)

  • Moon, Byung-Hun;Kim, Hyoung-Woo;Choi, Joon-Young
    • The Transactions of the Korean Institute of Power Electronics
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    • v.23 no.1
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    • pp.66-71
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    • 2018
  • We propose an online parameter estimation method for surface-mounted permanent-magnet synchronous motor (SPMSM) using an affine projection algorithm (APA). The proposed method estimates parameters with two APAs based on the discrete-time model equation of SPMSM during motor operation. The first APA is designed to estimate inductance, and the second APA is designed to estimate resistance and flux linkage. However, in case when the d-axis current is controlled to 0A, the second APA cannot estimate resistance and flux linkage simultaneously because the matrix rank in APA becomes deficient. To overcome this problem, we temporarily inject a negative reference current input to the d-axis control loop, and the matrix in the APA then becomes full rank, which enables the simultaneous estimation of resistance and flux linkage. The proposed method is verified by PSIM simulation and an actual experiment, and the results reveal that SPMSM parameters can be estimated online during motor operation.

Adaptive Discrete Time Sliding-Mode Tracking Control of a Proportional Control Valve-Hydraulic System in the presence of friction (비선형 마찰특성을 고려한 비례제어밸브·유압실린더계의 적응 이산시간 슬라이딩모드 추적제어)

  • Yu, Hwan-Shin;Park, Hyung-Bae
    • Journal of Advanced Navigation Technology
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    • v.13 no.5
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    • pp.756-762
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    • 2009
  • As nonlinear friction, stick-slip friction in hydraulic actuators are a problem for accuracy and repeatability. Therefore friction compensation has been approached through various control algorithms. A Adaptive discrete time sliding mode tracking controller has been applied in order to compensate the nonlinear friction characteristics in a hydraulic Actuator. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law which includes a friction and modeling error. Robustness is increased by using both a projection algorithm and a sliding function-based nonlinear feedforward. From the results of simulation and experiment good tracking performance is achieved.

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Correction of Rotated Objects in Medical Images Using the Mojette Transform (모젯 변환을 이용한 의료 영상의 회전 물체 보정)

  • Jung, Hyang-Mi;Kim, Ji-Hong
    • Journal of Korea Multimedia Society
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    • v.15 no.11
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    • pp.1341-1348
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    • 2012
  • In this paper, an efficient scheme for correcting rotated objects in medical images using the Mojette transform is presented. The Mojette transform is a kind of discrete Radon transform, where the transform domain is represented by a set of projections. The Mojette transform currently studied in the image compression area is modified for detecting the rotation angle of objects in medical images. First, in order to find accurate rotation angle, the projection value in the Mojette transform is determined by using pixels on the projection line and in addition the linear interpolation of pixels adjacent to the line. Second, at each projection angle, only one projection is implemented for reducing the amount of the calculation in the process of the Mojette transform. Finally, the projection in the Mojette transform is carried out at the predetermined ROI(Region Of Interest) at which the objects are not cropped or added by rotating the image. The simulation results show that the proposed method has good performance for correcting the rotation angle in medical images.

ON THE MARTINGALE EXTENSION OF LIMITING DIFFUSION IN POPULATION GENETICS

  • Choi, Won
    • Korean Journal of Mathematics
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    • v.22 no.1
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    • pp.29-36
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    • 2014
  • The limiting diffusion of special diploid model can be defined as a discrete generator for the rescaled Markov chain. Choi([2]) defined the operator of projection $S_t$ on limiting diffusion and new measure $dQ=S_tdP$. and showed the martingale property on this operator and measure. Let $P_{\rho}$ be the unique solution of the martingale problem for $\mathcal{L}_0$ starting at ${\rho}$ and ${\pi}_1,{\pi}_2,{\cdots},{\pi}_n$ the projection of $E^n$ on $x_1,x_2,{\cdots},x_n$. In this note we define $$dQ_{\rho}=S_tdP_{\rho}$$ and show that $Q_{\rho}$ solves the martingale problem for $\mathcal{L}_{\pi}$ starting at ${\rho}$.