• Title/Summary/Keyword: 구 조화함수

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Spherical Slepian Harmonic Expression of the Crustal Magnetic Vector and Its Gradient Components (구면 스레피안 함수로 표현된 지각 자기이상값과 구배 성분)

  • Kim, Hyung Rae
    • Economic and Environmental Geology
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    • v.49 no.4
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    • pp.269-280
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    • 2016
  • I presented three vector crustal magnetic anomaly components and six gradients by using spherical Slepian functions over the cap area of $20^{\circ}$ of radius centered on the South Pole. The Swarm mission, launched by European Space Agency(ESA) in November of 2013, was planned to put three satellites into the low-Earth orbits, two in parallel in East-West direction and one in cross-over of the higher altitude. This orbit configuration will make the gradient measurements possible in North-South direction, vertical direction, as well as E-W direction. The gravity satellites, such as GRACE and GOCE, have already implemented their gradient measurements for recovering the accurate gravity of the Earth and its temporal variation due to mass changes on the subsurface. However, the magnetic gradients have little been applied since Swarm launched. A localized magnetic modeling method is useful in taking an account for a region where data availability was limited or of interest was special. In particular, computation to get the localized solutions is much more efficient and it has an advantage of presenting high frequency anomaly features with numbers of solutions fewer than the global ones. Besides, these localized basis functions that were done by a linear transformation of the spherical harmonic functions, are orthogonal so that they can be used for power spectrum analysis by transforming the global spherical harmonic coefficients. I anticipate in scientific and technical progress in the localized modeling with the gradient measurements from Swarm and here will do discussion on the results of the localized solution to represent the three vector and six gradient anomalies over the Antarctic area from the synthetic data derived from a global solution of the spherical harmonics for the crustal magnetic anomalies of Swarm measurements.

Accuracy Assessment of the Upward Continuation using the Gravity Model from Ultra-high Degree Spherical Harmonics (초 고차항 구 조화 중력모델링에 의한 상향 연속의 정확도 검증)

  • Kwon Jay-Hyoun;Lee Jong-Ki
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.2
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    • pp.183-191
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    • 2006
  • The accuracy of the upward continuation is assessed through the gravity modeling using an ultra-high degree spherical harmonic expansion. The difficulties in the numerical calculation of Legendre function with ultra-high degree, underflow and/or overflow, is successfully resolved in 128 bit calculation scheme. Using the generated Legendre function, the gravity anomaly with spatial resolution of $1'{\times}1'$ on the geoid is calculated. The generated gravity anomaly is degraded and extracted with various noise levels and data intervals, then upward continuation is applied to each data sets. The comparison between the upward continued gravity disturbances and the directly calculated from the spherical harmonics showed that the accuracy on the direct method was significantly better than that of Poisson method. In addition, it is verified that the denser and less noised gravity data on the geoid generates better gravity disturbance vectors at an altitude. Especially, it is found that the gravity noise level less than 5mGal, and the data interval less than 2arcmin is necessary for next generation precision INS navigation which requires the accuracy of 5mGal or better at an altitude.

FINITE STRIP ANALYSIS OF FOLDED LAMINATED COMPOSITE PLATES (유한대판법에 의한 복합적층절판의 해석)

  • Yoon, Seok Ho;Han, Sung Cheon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.1
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    • pp.41-52
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    • 2001
  • In this paper the analysis of laminate composite folded plates with arbitrary angle connection like box girder is studied by finite strip method Total stiffness of laminated plate is obtained by integration of the stiffness in each layer or lamina through laminate thickness and total stiffness in each layer or lamina through laminate thickness and total tiffness matrix is obtained by substitutionto equilibrium equation derived from the minimum total potential energy theorem. The assumed displacement functions for a finite strip method in plate or box girder analysis are combinations of one-way polynomial functions in the transverse direction and harmonic functions in the span-wise direction. Finite strip method with the merits of the simplification in modeling and the reduction of analytical time is accurate in the analysis of laminate composite folded plates shaped like box firders.

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Mode Analysis of Silica Waveguides with Semi Circular Cross Section by using the Method of Harmonic Expansion in Finite Area (유한영역에서 조화함수 전개법을 이용한 반달꼴 단면 이산화규소 광도파로의 모우드 분석)

  • 김진승
    • Korean Journal of Optics and Photonics
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    • v.4 no.1
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    • pp.90-100
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    • 1993
  • A computer routine for personal computer(PC/AT class) is developed to analysize the mode characteristics of silica based optical waveguides whose cross sections are of semi circular and other typical shapes. The basic algorithm used in the routine is to convert the wave equation into a matrix equation by expanding the wave function in terms of simple harmonic functions. The matrix elements are a set of overlap integrals of sinusoidal funtions with appropriate weight given by the distribution of refractive index over the waveguide cross section. The eigenvectors and eigenvalues of the matrix is then computed via diagonalization. We explain some practical problems that arises when implementing the algorithm into the routine. By using this routine we analyze the mode characteristics of silica based optical waveguides of semi circular and some other typical cross sections.

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SEM에 의한 전자파 펄스 반응의 해석

  • 이택경
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.4 no.2
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    • pp.82-90
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    • 1993
  • 전자파에 의한 산란현상의 해석은 지금까지 주로 시간조화함수의 형태를 지닌 전원에 의한 정 상상태의 산란에 관하여 이루어졌다. 그러나 레이다나 피파괴 검사, 전송선로 점검 등의 응용에서는 주로 펄스형태의 전자파를 사용하며, 따라서 시간에 따라 변화하는 함수형태의 전원에 의한 전자파의 산란해 석이 중요한 문제로 등장하였다. 또한 통신선로에서 외부의 잡음에 대한 혼신 등을 해석하거나, 낙뢰가 송 전선로에 미치는 영향을 해석하는 데에도 펄스신호의 산란해석이 필수적이다. 일반적인 함수의 형태를 지닌 전원에 의한 산란현상을 해석하기 위해서는 전원함수를 Fourier 변환하 여 주파수 영역의 스펙트럼을 구하고, 주파수영역에서의 산란해를 이용하여 Fourier 역변환을 하여 시간 영역의 해를 구할 수 있다. 주파수 영역에서의 산란판의 해를 Fourier 역변환 하기 위해서는 적분을 행하여야 하며, 일반적으로 적분과정에서 매우 복잡한 계산이 필요하고, 산란체의 구조가 복잡하여 해석 적인 해를 구할수 없는 경우에는 해석적으로 시간영역의 해를 구하는 것이 불가능하다. 시변 함수에 의 한 산란파를 구하기 위한 수치해석적 방법으로는 모멘트방법이나 유한요소법(Finite Element Method), 경계요소법(Boundary Element Method), 유한차분법(Finite Difference Method)등이 있으며, 해석적 해 를구할 수 없는 경우에 적용할 수 있는 반면에 많은 계산량이 요구된다.

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A Study on the Rejection Capability based on Utterance Verification for Speech Recognition (발화 검증에 의한 음성인식 거절기능 연구)

  • 김우성
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06c
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    • pp.67-70
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    • 1998
  • 본 논문에서는 단어독립 음성인식 시스템을 위한 음성인식 거절(rejection)기능에 대해 기술한다. 음성인식 거절 기능은 음성인식기를 제작할 때 정해놓은 인식대상 단어 이외의 단어가 입력되었을 때 그 단어가 인식할 수 없는 단어임을 알려주는 기능이다. 본 연구에서는 단어독립 음성인식 시스템에 적용될 수 있는 발화 검증 방식에 의해 음성인식 거절 기능을 구현하였다. 특히 유사도를 결정함에 있어서 산술평균, 기하평균, 조화평균을 사용하고 각각을 비교하여, 기하 평균을 사용하는 방식이 우수한 성능을 보임을 알 수 있었다. 음성의 신뢰도(confidence score)를 정규화하기 위해서 Sigmoid 함수를 사용하는데 이 함수의 가중치(weight) 상수의 변화에 대해 인식률을 비교함으로써 가장 적절한 가중치 상수값을 결정하였다. 음성인식 테스트 결과에서는 신뢰도 임계치 값을 구하고 이 값을 사용하여 인식률을 계산하였으며, 거절의 오류까지 포함된 음성인식률은 약 76%였다. 이 연구결과는 현재 한국통신에서 시험 서비스 중인 음성인식 증권정보 안내 시스템에 적용될 예정이다.

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Dynamic Behaviors of an Impact System under Randomly Perturbed Harmonic Excitation by the Path-Integral Solution Procedure (Path-Integral Solution을 이용한 랜덤동요된 조화가진력을 받는 임팩트시스템의 거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.83-91
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    • 2004
  • Nonlinear system responses of an impact system under randomly perturbed harmonic excitations are predicted in the probability domain by adopting the semi-analytical procedure previously developed. The semi-analytical procedure is obtained by solving the Fokker-Planck equation corresponding to the stochastic differential equation of the given impact system by utilizing the path-integral solution. The evolutionary joint probability density functions are generated by using the method, and the characteristics of nonlinear dynamic response behaviors of the system are examined. Noise effects on the responses are also examined. It Is found that the semi-analytical method can provides the accurate information of the responses via the joint probability functions for the impact system. It is found that the noises weaken and eventually terminate the chaos in the responses, but it is also found that the chaotic signatures reside in the presence of the external noise with relatively high intensity. The joint probability density function shows that the ensemble of the system responses are weakly stationary.

Geopotentinl Field in Nonlinear Balance with the Sectoral Mode of Rossby-Haurwitz Wave on the Inclined Rotation Axis (섹터모드의 로스비하우어비츠 파동과 균형을 이루는 고도장)

  • Cheong, Hyeong-Bin;Park, Ja-Rin
    • Journal of the Korean earth science society
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    • v.28 no.7
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    • pp.936-946
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    • 2007
  • Analytical geopotential field in balance with the sectoral mode (the first symmetric mode with respect to the equator) of the Rossby-Haurwitz wave on the inclined rotation axis was derived in presence of superrotation background flow. The balanced field was obtained by inverting the divergence equation with the time derivative being zero. The inversion consists of two steps, i.e., the evaluation of nonlinear forcing terms and the finding of analytical solutions based on the Poisson's equation. In the second step, the forcing terms in the from of Legendre function were readily inverted due to the fact that Legendre function is the eigenfunction of the spherical Laplacian operator, while other terms were solved either by introducing a trial function or by integrating the Legendre equation. The balanced field was found to be expressed with six zonal wavenumber components, and shown to be of asymmetric structure about the equator. In association with asymmetricity, the advantageous point of the balanced field as a validation method for the numerical model was addressed. In special cases where the strength of the background flow is a half of or exactly the same as the rotation rate of the Earth it was revealed that one of the zonal wavenumber components vanishes. The analytical balanced field was compared with the geopotential field which was obtained using a spherical harmonics spectral model. It was found that the normalized difference lied in the order of machine rounding, indicating the reliability of the analytical results. The stability of the sectoral mode of Rossby-Haurwitz wave and the associated balanced field was discussed, comparing with the flrst antisymmetric mode.

A Study on Terrain Classification and Interpolation in Digital Terrain Model (수치지형모델에 있어서 지형분류와 보간에 관한 연구)

  • Yeu, Bock-Mo;Kwon, Hyon;Kim, In-Sup
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.7 no.2
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    • pp.53-61
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    • 1989
  • In this paper the quantitative classification parameters of terrain which can be practicable to the interpolation of digital terrain model forming a regular grid pattern have been suggested and objective terrain classification have been established by making a cluster analysis using these parameters. Also, interpolation suitable to the classification of terrain has been used by making a descriminant alaysis from description parameters of terrains. The terrain classification in this paper was dependent upon two parameters of the ratio horizontal area to inclined area and the magnitude of harmonic vectors. And the studying area was seperated to three groups of terrains by these two parameters. Three groups of terrains could be classified into the discriminant functions. By determining the ratio of area and harmonic vector magnitude in any terrains using the above discriminant function, it was possible to discriminate the terrains to apply the interpolation practicable to the terrain characteristics.

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A Study on the Rejection Capability Based on Anti-phone Modeling (반음소 모델링을 이용한 거절기능에 대한 연구)

  • 김우성;구명완
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.3
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    • pp.3-9
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    • 1999
  • This paper presents the study on the rejection capability based on anti-phone modeling for vocabulary independent speech recognition system. The rejection system detects and rejects out-of-vocabulary words which were not included in candidate words which are defined while the speech recognizer is made. The rejection system can be classified into two categories by their implementation methods, keyword spotting method and utterance verification method. The keyword spotting method uses an extra filler model as a candidate word as well as keyword models. The utterance verification method uses the anti-models for each phoneme for the calculation of confidence score after it has constructed the anti-models for all phonemes. We implemented an utterance verification algorithm which can be used for vocabulary independent speech recognizer. We also compared three kinds of means for the calculation of confidence score, and found out that the geometric mean had shown the best result. For the normalization of confidence score, usually Sigmoid function is used. On using it, we compared the effect of the weight constant for Sigmoid function and determined the optimal value. And we compared the effects of the size of cohort set, the results showed that the larger set gave the better results. And finally we found out optimal confidence score threshold value. In case of using the threshold value, the overall recognition rate including rejection errors was about 76%. This results are going to be adapted for stock information system based on speech recognizer which is currently provided as an experimental service by Korea Telecom.

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