• Title/Summary/Keyword: Expansion Method

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Illuminance Dynamic Range Expansion using Gamma & Multi-Point Knee for Smart Phone Camera (감마 및 다중 포인터 니를 이용한 스마트폰 카메라의 광 다이나믹 영역 확장)

  • Choi, Duk-Kyu;Han, Chan-Ho
    • IEMEK Journal of Embedded Systems and Applications
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    • v.8 no.1
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    • pp.43-50
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    • 2013
  • The narrow dynamic range of most smart phone cameras is severely limited. It usually is narrower than the dynamic range of most scenes. So we proposes a illuminance dynamic range expansion using multi-point knee for smart phone camera. Such as logarithmic functions the proposed method compress the image sensor output signal. Additionally, the proposed method was merged into the gamma that is essential circuit for any cameras. To justifying multi-point knee effectiveness, we configure the control and quality evaluation system for smart phone camera module. Experimental results show that the lost information by cut off and saturated affectively reconstructed in darker and in brighter areas. Finally this methods have advantage to implement without any changing hardware for conventional smart phones.

Faster Ate Pairing Computation over Pairing-Friendly Ellipitic Curves Using GLV Decomposition

  • Eom, Soo Kyung;Lee, Eunjeong;Lee, Hyang-Sook
    • ETRI Journal
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    • v.35 no.5
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    • pp.880-888
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    • 2013
  • The preexisting pairings ate, $ate_i$, R-ate, and optimal-ate use q-expansion, where q is the size of the defining field for the elliptic curves. Elliptic curves with small embedding degrees only allow a few of these pairings. In such cases, efficiently computable endomorphisms can be used, as in [11] and [12]. They used the endomorphisms that have characteristic polynomials with very small coefficients, which led to some restrictions in finding various pairing-friendly curves. To construct more pairing-friendly curves, we consider ${\mu}$-expansion using the Gallant-Lambert-Vanstone (GLV) decomposition method, where ${\mu}$ is an arbitrary integer. We illustrate some pairing-friendly curves that provide more efficient pairing from the ${\mu}$-expansion than from the ate pairing. The proposed method can achieve timing results at least 20% faster than the ate pairing.

Transient Response of Magnetic Field Integral Equation Using Laguerre Polynomials as Temporal Expansion Functions (라겐르 함수를 시간영역 전개함수로 이용한 자장 적분방정식의 과도 응답)

  • 정백호;정용식
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.4
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    • pp.185-191
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    • 2003
  • In this Paper, we propose an accurate and stable solution of the transient electromagnetic response from three-dimensional arbitrarily shaped conducting objects by using a time domain magnetic field integral equation. This method does not utilize the conventional marching-on in time (MOT) solution. Instead we solve the time domain integral equation by expressing the transient behavior of the induced current in terms of temporal expansion functions with decaying exponential functions and Laguerre·polynomials. Since these temporal expansion functions converge to zero as time progresses, the transient response of the induced current does not have a late time oscillation and converges to zero unconditionally. To show the validity of the proposed method, we solve a time domain magnetic field integral equation for three closed conducting objects and compare the results of Mie solution and the inverse discrete Fourier transform (IDFT) of the solution obtained in the frequency domain.

Reliability Estimation of Ball Grid Array 63Sn-37Pb Solder Joint (Ball Grid Array 63Sn-37Pb Solder joint 의 건전성 평가)

  • 명노훈;이억섭;김동혁
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.630-633
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    • 2004
  • Generally, component and FR-4 board are connected by solder joint. Because material properties of components and FR-4 board are different, component and FR-4 board show different coefficients of thermal expansion (CTE) and thus strains in component and board are different when they are heated. That is, the differences in CTE of component and FR-4 board cause the dissimilarity in shear strain and BGA solder joint s failure. The first order Taylor series expansion of the limit state function incorporating with thermal fatigue models is used in order to estimate the failure probability of solder joints under heated condition. A model based on plastic-strain rate such as the Coffin-Manson Fatigue Model is utilized in this study. The effects of random variables such as frequency, maximum temperature, and temperature variations on the failure probability of the BGA solder joint are systematically investigated by using a failure probability model with the first order reliability method(FORM).

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Implementation of Efficient Exponential Function Approximation Algorithm Using Format Converter Based on Floating Point Operation in FPGA (부동소수점 기반의 포맷 컨버터를 이용한 효율적인 지수 함수 근사화 알고리즘의 FPGA 구현)

  • Kim, Jeong-Seob;Jung, Seul
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.11
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    • pp.1137-1143
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    • 2009
  • This paper presents the FPGA implementation of efficient algorithms for approximating exponential function based on floating point format data. The Taylor-Maclaurin expansion as a conventional approximation method becomes inefficient since high order expansion is required for the large number to satisfy the approximation error. A format converter is designed to convert fixed data format to floating data format, and then the real number is separated into two fields, an integer field and an exponent field to separately perform mathematic operations. A new assembly command is designed and added to previously developed command set to refer the math table. To test the proposed algorithm, assembly program has been developed. The program is downloaded into the Altera DSP KIT W/STRATIX II EP2S180N Board. Performances of the proposed method are compared with those of the Taylor-Maclaurin expansion.

Fourier series expansion method for plated-structures

  • Deng, Jiann-Gang;Cheng, Fu-Ping
    • Structural Engineering and Mechanics
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    • v.8 no.4
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    • pp.343-360
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    • 1999
  • This work applies a structural analysis method based on an analytical solution from the Fourier series which transforms a half-range cosine expansion into a static solution involving plated structures. Two sub-matrices of in-plane and plate-bending problems are also formulated and coupled with the prescribed boundary conditions for these variables, thereby providing a convenient basis for a numerical solution. In addition, the plate connection are introduced by describing the connection between common boundary continuity and equilibrium. Moreover, a simple computation scheme is proposed. Numerical results are then compared with finite element results, demonstrating the numerical scheme's versatility and accuracy.

Optimal Generation Planning Including Pumped-Storage Plant Based on Analytic Cost Function and Maximum Principle (해석적 비용함수와 최대원리리에 의한 양수운전을 포함하는 최적전원계획)

  • 박영문;이봉용
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.8
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    • pp.308-316
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    • 1985
  • This paper proposes an analytic tool for long-term generation expansion planning based on the maximum principle. Many research works have been performed in the field of generation expansion planning. But few works can be found with the maxinmum principle. A recently published one worked by professor Young Moon Park et al. shows remarkable improvements in modeling and computation. But this modeling allows only thermal units. This paper has extended Professor Park's model so that the optimal pumped-storage operation is taken into account. So the ability for practical application is enhanced. In addition, the analytic supply-shortage cost function is included. The maximum principle is solved by gradient search due to its simplicity. Every iteration is treated as if mathematical programming such that all controls from the initial to the terminal time are manipulated within the same plane. Proposed methodology is tested in a real scale power system and the simulation results are compared with other available package. Capability of proposed method is fully demonstrated. It is expected that the proposed method can be served as a powerful analytic tool for long-term generation expansion planning.

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Prandtl-Meyer Expansion Through a Small Wavy Wall of Supersonic Flow with Condensation in a Channel (유로내에서 응축을 수반하는 초음속 유동의 미소진폭 파형벽에 의한 Prandtl-Meyer 팽창)

  • 권순범;안형준;선우은
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1582-1589
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    • 1994
  • The characteristics Prandt1-Meyer expansion of supersonic flow with condensation through a wavy wall in a channel are investigated by experiment and numerical direct marching method of characteristics. In the present study, for the case of moist air flow in the type of indraft supersonic wind tunnel, the dependency of location of formation and reflection of the oblique shock wave generated by the wavy wall and the distribution of flow properties, on the specific humidity and temperature at the entrance of wavy wall and the attack angle of the wavy wall to the main stream is clarified by schlieren photograph, distribution of static pressure and Mach number, and plots of numerical results. Also, we confirm that the wavy wall plays an important key role in the formation of oblique shock wave, and that the effect of condensation on the flow field appears apparently.

Derivation of ternary RM coefficients using single transform matrix (단일변수 변환 행렬을 이용한 3치 RM 상수 생성)

  • 이철우;최재석;신부식;심재환;김홍수
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.745-748
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    • 1999
  • This paper propose the method to derive RM(Reed-Muller) expansion coefficients for Multiple-Valued function. The general method to obtain RM expansion coefficient for p valued n variable is derivation of single variable transform matrix and expand it n times using Kronecker product. The transform matrix used is p$^{n}$ $\times$ p$^{n}$ matrix. In this case the size of matrix increases depending on the augmentation of variables and the operation is complicated. Thus, to solving the problem, we propose derivation of RM expansion coefficients using p$\times$p transform matrix and Karnaugh-map.

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The Effect of Insertion Loss on the Element of Exhaust Muffler (배기 소음기 구조가 삽입손실에 미치는 영향)

  • 강동림;김영호;전현부기;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.5
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    • pp.42-51
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    • 2000
  • The performances of the simple expansion, perforated tube, and conical-connector type as an exhaust muffler are shown in this study. Applying a model in which the method of four-pole parameter is used makes theoretical estimation of the insertion loss. Experiment is performed for the measurement of the insertion loss under four cases according to the variation of the tail pipe length. By comparing the theoretical prediction with the experimental results, the validity of the modeling using the method of four-pole parameter is verified. The personal computer simulation programs for the above mentioned theory on the muffler design have been developed and exhaust sound level measurements have been carried out for simple expansion muffler, conical-connector muffler, perforated tube mufflers and the combined type of conical-connector and simple expansion muffler. The measured results for attenuation characteristics of noise for each muffler are compared with the computed theoretical results to verity the confidence and applicable limits of the theoretical equation derived.

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