• 제목/요약/키워드: Gaussian field

검색결과 308건 처리시간 0.026초

THE LIMITING LOG GAUSSIANITY FOR AN EVOLVING BINOMIAL RANDOM FIELD

  • Kim, Sung-Yeun;Kim, Won-Bae;Bae, Jong-Sig
    • 대한수학회논문집
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    • 제25권2호
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    • pp.291-301
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    • 2010
  • This paper consists of two main parts. Firstly, we introduce an evolving binomial process from a binomial stock model and consider various types of limiting behavior of the logarithm of the evolving binomial process. Among others we find that the logarithm of the binomial process converges weakly to a Gaussian process. Secondly, we provide new approaches for proving the limit theorems for an integral process motivated by the evolving binomial process. We provide a new proof for the uniform strong LLN for the integral process. We also provide a simple proof of the functional CLT by using a restriction of Bernstein inequality and a restricted chaining argument. We apply the functional CLT to derive the LIL for the IID random variables from that for Gaussian.

Translation method: a historical review and its application to simulation of non-Gaussian stationary processes

  • Choi, Hang;Kanda, Jun
    • Wind and Structures
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    • 제6권5호
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    • pp.357-386
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    • 2003
  • A number of methods based on various ideas have been proposed for simulating the non-Gaussian stationary process. However, these methods have some limitations. This paper reviewed several simulation methods based on the translation method using logarithmic and polynomial functions, which have emerged in the history of statistics and in the field of civil engineering. The applicability of each method is discussed from the viewpoint of the reproducibility of higher order statistics of the object function in the simulated sample functions, and examined using pressure signals measured from wind tunnel experiments for various shapes of buildings. The parameter estimation methods, i.e. the method of moments and quantile plot, are also reviewed, and the useful aspects of each method are discussed. Additionally, a simple worksheet for parameter estimation is derived based on the method of moment for practical application, and the accuracy is discussed comparing with a set of previously proposed formulae.

다중-가우시안 빔 모델을 이용한 초음파 탐상 시험 시뮬레이션에 관한 연구 (A Study on Ultrasonic Testing Simulation using the Multi-Gaussian Beam Model)

  • 송성진;김학준
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.553-560
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    • 2001
  • Recently, ultrasonic testing simulation has becomes very important in the field of nondestructive evaluation due to its unique capability of providing testing signals without real inspection. The ultrasonic testing simulation requires three elementary models including the transducer beam radiation model, the flaw scattering model, and the reception model. In the present work, we briefly describe an approach to develop the ultrasonic testing model together with its elementary models with the multi-gaussian beam model. Based on this approach, we developed ultrasonic testing simulation program with MATLAB. The performance of the developed program is demonstrated by the predicting of ultrasonic signals from two types of flaws, circulars crack and spheres.

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가우시안 빔 모드에 의한 원뿔형 컬러게이트 급전 혼의 복사특성에 관한 연구 (A Study on the Radiation Characteristics of the Conical Corrugated Feed Horn using the Gaussian Beam Mode)

  • 장대석;이상설
    • 한국통신학회논문지
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    • 제19권3호
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    • pp.515-522
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    • 1994
  • 원뿔형 컬러게이트 급전 혼의 복사특성을 가우시안 빔 모드이론으로 해석한다. 혼 개구면의 전계를 Gaussian-Laguerre모드로 전개하며, 이 모드가 파동방정식의 해임을 밝히고, 모드 확장계수에 의하여 개구면의 전개를 계산함으로써, 종래의 기본모드에 의한 복사특성 해석의 오차를 줄일 수 있게 한다. C-밴드, Ku-밴드 및 밀리미터파 대역에서 동작하는 컬러게이트 혼 안테나의 복사패턴을 계산하였다. 각 벤드에 대하여 계산한 복사패턴은 벡터 포텐실 적분법에 의하여 구한 복사패턴 및 6.175GHz에서의 실측치 등과 잘 일치한다.

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가우시안 정규기저를 이용한 $GF(2^m)$상의 워드-레벨 곱셈기 (Word Level Multiplier for $GF(2^m)$ Using Gaussian Normal Basis)

  • 김창훈;권윤기;김태호;권순학;홍춘표
    • 한국통신학회논문지
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    • 제31권11C호
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    • pp.1120-1127
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    • 2006
  • 본 논문에서는 타원곡선 암호 시스템(Elliptic Curve Cryptosystem : ECC)을 위한 $GF(2^m)$상의 새로운 워드-레벨 곱셈기를 제안한다. 제안한 곱셈기는 원소표기법으로 가우시안 정규기저(Gaussian Normal Basis: GNB)를 이용하며. [m/w] 클럭 사이클마다 곱셈 연산의 결과를 출력한다. 여기서 w는 워드크기이다. 제안한 워드-레벨 곱셈기를 Xilinx XC2V1000 FPGA칩을 이용하여 구현한 후 기존에 제안된 워드-레벨 곱셈기와 성능을 비교 분석한 결과. 가장 낮은 최대 처리기 지연시간(critical path delay)을 가진다

YNi$_2B_2C$의 초전도 상태에서 국소자기장의 분포 (Local Field Distribution in YNi$_2B_2C$ Superconductor)

  • 김도형;이규홍;한기성;서승원;이무희;이성익;조병기
    • 한국초전도학회:학술대회논문집
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    • 한국초전도학회 1999년도 High Temperature Superconductivity Vol.IX
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    • pp.251-255
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    • 1999
  • Local field distribution in the mixed state of type II superconductors has been numerically calculated and compared with $^{11}$B NMR spectra for YNi$_2B_2C$ single crystals. We find that only small distortion of vortex positions from the perfect lattice points is enough to smear out the low frequency shoulder. As the vortices are further distorted, the line shape changes from an asymmetric shape with a high frequency tail to a symmetric Gaussian line shape. It is found that the second moment of the field distribution has a major contribution from the high frequency tail. Consequently, a linewidth of the full width at half maximum calculated from the second moment assuming for a Gaussian line shape is overestimated.

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유한 차분 시간 영역 해석법을 이용한 임피던스 정합 모노폴 마이크로스트립 안테나 설계 및 해석 (Design and Analysis of an Impedance-Tuned Monopole Microstrip Patch Antenna using the Finite Difference Time Domain Method)

  • 정영호;이동철;이문수
    • 대한전자공학회논문지TC
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    • 제39권11호
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    • pp.28-33
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    • 2002
  • 본 논문에서는 유한 차분 시간영역 해석법을 이용하여 PCS용 임피던스 정합 모노폴 마이크로스트립 안테나를 해석하였다. FDTD 격자를 나누기 위해서 Berenger 가 제안한 완전정합층 흡수경계조건을 사용하였다. 소스 신호로 Gaussian 펄스를 사용하고, 급전부는 내부저항 전압원을 적용시켜 모델링 하였다. FDTD법은 근계 해석 기술이므로 안테나의 방사패턴과 이득을 구하기 위해서는 시간영역과 주파수영역에 모두 적용이 가능한 근계를 원계로 변환하는 것이 필요하다. 따라서 원계 방사패턴을 계산하기 위해 주파수영역 변환을 사용하였다. FDTD법에 의해 얻어진 해석 결과는 HFSS 소프트웨어를 사용한 해석 결과와 비교 분석하였으며, 만족한 결과를 얻었다.

특이점이 고려된 비오-사바르법을 이용한 3차원 코일의 자계 해석 (3-Dimensional Magnetic Field Analysis of Coil Using Biot-Savart Law Considering Singularity)

  • 송호준;이향범
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.104-106
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    • 2005
  • In this paper, 3-dimensional magnetic field of coil is analyzed by using biot-sarvart law considering singularity. The RMSP(reduced magnetic scalar potential) arc employed in order to reduce the number of unknown variables in FEM(Finte Element Analysis) or BEM(Boundary Element Method). It Is necessary to calculate magnetic field of souce current when RMSP is used. Biot-savart law is generally used. it is difficult to calculate the field when the source point is in inside the coil. To integrate using gaussian quadrature, the cross section of coil is divided considering the position of field point when field point is inside coil. The proposed method shows good agreement of magnetic field compared with FEMLAB, OPERA3D.

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이중판의 차음손실 I (Sound Transmission Loss of Double Panels(I) : A Double Wall with Air Cavity)

  • 강현주;김현실;김재승;김상렬
    • 소음진동
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    • 제7권6호
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    • pp.945-952
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    • 1997
  • This paper shows the feasibility of the suggestion that the angle distribution of incident sound to panels might be gaussian, instead of the conventional uniform distribution in the analysis of transmission loss of panels. To prove the suggestion, the problems with the diffuse sound field in a reverberation room are examined by case studies and the comparision of the prediction with the measurement of sound transmission loss of walls are performed. The results of the comparision show good agreement between the two values.

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광섬유의 Near field를 이용한 미세입자의 가속에 관한 연구 (The acceleration of microscopic particles in the near field diffracted from the fiber end)

  • 강용훈;이혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 정기총회 및 추계학술대회 논문집 학회본부
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    • pp.359-361
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    • 1993
  • The force exerted on particles when the momentum of light is changed at the boundary is used in accelerating particles in the fluid. So far, particles are accelerated by the gaussian beam focused by lenses or microscopic objectives. In this paper, particles arc moved by the light diffracted from the fiber end. And we proposed the possibility of particle acceleration using the fiber end.

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