• Title/Summary/Keyword: 라플라스변환

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A Searching Technique of the Weak Connectivity Boundary using Small Unmanned Aerial Vehicle in Wireless Tactical Data Networks (무선 전술 데이터 네트워크에서 소형 무안항공기를 이용한 연결성 약화 지역 탐색 기법)

  • Li, Jin;Song, Ju-Bin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.1C
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    • pp.89-96
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    • 2012
  • Since tactical robots are going to be grown and tactical data communications will be more network-centric, the reliability of wireless tactical data networks is going to be very important in the future. However, the connectivity of such wireless tactical data networks can be extremely uncertain in practical circumstances. In this paper, we propose a searching technique to find out the weak boundary area of the network connectivity using a small UAV(unmanned aerial vehicle) which has a simple polling access function to wireless nodes on the ground in wireless tactical data networks. The UA V calculates the network topology of the wireless tactical data networks and coverts it to the Lapalcian matrix. In the proposed algorithm, we iteratively search the eigenvalues and find a minimum cut in the network resulting in finding the weak boundary of the connectivity for the wireless tactical data networks. If a UAV works as a relay nodes for the weak area, we evaluate that the throughput performance of the proposed algorithm outperforms star connection method and MST(minimum Spanning Tree) connection method. The proposed algorithm can be applied for recovering the connectivity of wireless tactical data networks.

A Development of Seepage Analysis Model for Unsaturated Soil during Rainfall (강우시 불포화지반의 침투해석모형 개발)

  • Lee, Jung-Sik;Han, Heui-Soo;Jang, Jin-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.796-800
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    • 2009
  • 토목구조물 및 사면의 붕괴는 집중호우가 내리는 경우 많이 발생하고 있으며, 특히 사면에서는 붕괴까지의 변형이 급속히 진행되어 이를 사전에 예방하기는 매우 어려운 현실이다. 침투 및 배수과정에서의 사면 붕괴는 강우침투로 인한 지반의 물리적 특성변화가 직접적으로 사면의 안전계수 변화에 영향을 주는 것으로 판단되며, 이때 발생하는 물리적 특성변화로는 침투시 사면 내 지반의 단위 중량은 증가하여 전단응력의 증가 및 전단강도 감소현상이 발생하며, 이와 반대로 사면 내 배수로 인하여 전단응력의 감소 및 전단강도의 증가현상이 발생한다. 따라서 본 연구에서는 강우침투로 발생하는 지반의 포화도 변화를 지반 내 투수계수의 함수로 설명하여 강우로 인한 지반의 침투 및 배수과정을 규명하고자 한다. 일반적으로 지반 내 지하수의 침투과정은 라플라스 공식을 적용한다. 그러나 라플라스 공식은 정상 상태(Steady State)일 경우에만 사용할 수 있고, 강우 등으로 인한 지하수의 수두 변화가 발생한 비정상 상태(Unsteady State)의 경우에는 부적합하므로 사면과 옹벽 등의 토질구조물에서는 안전성 변화를 계산할 수 없다. 이를 위해 사면 내 지반의 침투 및 배수과정을 투수계수의 함수로 나타내어, 강우의 침투과정을 Fourier Series, 변수분리법 및 섭동함수를 사용하여 식으로 유도함으로서 강우에 의한 지반의 침투 및 배수과정에 따른 사면 내 지하수의 분포를 예측한다. 침투과정 해석을 위하여 지표에서 포화대까지의 깊이 10m의 모델사면 및 지표부터 포화대까지의 포화도는 직선으로 비례한다는 가정을 적용한다. 먼저 푸리에 급수를 이용, 시간에 따른 온도를 열전달에 관하여 편미분하여 발생하는 열확산계수를 투수계수로 변환함에 따라 지하수의 시간과 수직방향거리에 대한 지반의 포화도를 산정한다. 변수분리법은 산정된 포화도에 지반의 초기조건과 경계조건를 고려하기 위해 적용하며, 변수분리법에 의해 산정된 지하수 분포를 섭동함수법으로 과도 및 정상상태로 분류한다. 본 연구의 수행으로 인해 얻어진 결과를 요약하면 다음과 같다. 첫째, Fourier Series와 변수분리법, 섭동함수를 이용하여 강우에 의한 지반의 포화도 변화를 수식적으로 나타낼 수 있으며 둘째, 지반에서의 강우침투과정을 식으로 표현함으로서, 깊이별 시간에 따른 포화도의 영역이 상부로부터 하부로 전이되는 과정을 알 수 있다. 셋째, 푸리에 급수를 이용한 지반의 침투계산으로 강우로 인한 지반의 포화영역 및 불포화영역을 명확히 구분할 수 있으며, 각 깊이별 포화도를 계산하여 각 구간에서 불포화구간의 전단강도에 대한 보다 정확한 계산이 가능하리라 판단된다.

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Analysis of Unsteady Propagation of Mode III Crack in Arbitrary Direction in Functionally Graded Materials (함수구배재료에서 임의의 방향을 따라 비정상적으로 전파하는 모드 III 균열해석)

  • Lee, Kwang Ho;Cho, Sang Bong;Hawong, Jai Sug
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.2
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    • pp.143-156
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    • 2015
  • The stress and displacement fields at the crack tip were studied during the unsteady propagation of a mode III crack in a direction that was different from the property graduation direction in functionally graded materials (FGMs). The property graduation in FGMs was assumed based on the linearly varying shear modulus under a constant density and the exponentially varying shear modulus and density. To obtain the solution of the harmonic function, the general partial differential equation of the dynamic equilibrium equation was transformed into a Laplace equation. Based on the Laplace equation, the stress and displacement fields, which depended on the time rates of change in the crack tip speed and stress intensity factor, were obtained through an asymptotic analysis. Using the stress and displacement fields, the effects of the angled property variation on the stresses, displacements, and stress intensity factors are discussed.

Deforming the Walking Motion with Geometrical Editing (주 관절 경로의 변형을 통한 걷기 동작 수정)

  • Kim, Meejin;Lee, Sukwon
    • Journal of the Korea Computer Graphics Society
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    • v.27 no.1
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    • pp.1-8
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    • 2021
  • This paper proposes a simple deformation method for editing the trajectory of a walking motion with preserving its style. To this end, our method analyzes the trajectory of the root joint into the graph and deforms it by applying the graph Laplace operator. The trajectory of the root joint is presented as a graph with a vertex defined the position and direction at each time frame on the motion dataThe graph transforms the trajectory into the differential coordinate, and if the constraints are set on the trajectory vertex, the solver iterative approaches to the solution. By modifying the root trajectory, we can continuously vary the walking motion, which reduces the cost of capturing a whole motion that is required. After computes the root trajectory, other joints are copied on the root and post-processed as a final motion. At the end of our paper, we show the application that the character continuously walks in a complex environment while satisfying user constraints.

Transient Response of Functionally Graded Piezoelectric Ceramic with Crack (균열이 있는 기능경사 압전 세라믹의 충격 특성에 관한 연구)

  • Jeong Woo Shin;Tae-Uk Kim;Sung Chan Kim
    • Composites Research
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    • v.16 no.5
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    • pp.21-27
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    • 2003
  • Using the theory of linear piezoelectricity, the dynamic response of a central crack in a functionally graded piezoelectric ceramic under anti-plane shear impact is analyzed. We assume that the properties of the functionally graded piezoelectric material vary continuously along the thickness. By using the Laplace and Fourier transform, the problem is reduced to two pairs of dual integral equations and then into Fredholm integral equations of the second kind. Numerical values on the dynamic stress intensity factors are presented to show the dependence of the gradient of material properties and electric loading.

An Enhancement Technique for Backlit Images using Laplace Pyramid Fusion (라플라스 피라미드 융합을 이용한 역광영상의 개선 방법)

  • Kim, Jin Heon
    • Journal of IKEEE
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    • v.26 no.2
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    • pp.292-298
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    • 2022
  • There is a limit to improving the image quality through global processing of images taken under backlighting because too bright and dark parts are mixed in one scene. This paper introduces a method to improve the quality of a photo by making two virtual images that improve the dark and bright areas of a backlit photo, and fusing them with the original image into a Laplacian pyramid. The proposed method reduces the computational burden by using histogram stretching and gamma transformation that can be simplified with LUT when creating the two virtual images. In addition, in order to obtain a color-enhanced image, contrast conversion was performed only on the luminance using the HSV coordinate system. The proposed technique showed its effectiveness by calculating several NIQA indicators using standard image data sets.

A Numerical Method for One-dimensional Inverse Heat Conduction Problem Using Laplace Transform (라플라스 변환을 이용한 1차원 열전도의 수치해석)

  • Shin, Woon-Chul;Bae, Sin-Chul
    • Journal of the Korean Society of Safety
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    • v.22 no.4
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    • pp.13-19
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    • 2007
  • An numerical method to estimate thermal diffusivity has been developed for one-dimensional unsteady heat conduction problem, when the temperatures are know at two positions in a semi-infinite body. Using the closed form solution which has already derived an explicit solution for the inverse problem for one-dimensional transient heat conduction using Laplace transform technique, we first estimate the surface temperature. The thermal diffusivity can be estimated by using the estimated surface temperature and measured temperatures, which include some uncertainties. The estimated surface heat flux and thermal diffusivity are found to be in good agreement with those of the experimented conditions. This method will be extended to the simultaneous measurement of thermal diffusivity and thermal conductivity.

Generalized Outage Probability of STTD System in Rayleigh Fading Channel (레일레이 페이딩 채널에서 STTD 시스템의 일반화된 오수신확률)

  • 남우춘;한영열
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.6
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    • pp.1025-1031
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    • 2001
  • In this paper, we derive the outage probability of cellular mobile system with STTB(Space Time Transmitter Diversity) scheme where the received radio signals and interferers experience Rayleigh fading and AWGN. The new probability density function of L independent identically distributed interferers is derived using Laplace transforms. We express the probability of outage as a function of the average-signal to average-interference power ratio and the signal to noise ratio. In addition, the frequency reuse distance which is one of the key parameters in the design of cellular systems is analyzed.

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A Non-preemptive Priority 2-Class MAP/G/1 Queue with Individual Thresholds (다중 임계점을 고려한 비축출형 우선순위 2-계층 MAP/G/1 대기행렬모형)

  • Seo, Won-Ju;Lee, Ho-U
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.866-872
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    • 2005
  • 본 연구는 비축출형 우선순위 2-계층 대기행렬을 다룬다. 각 계층별 고객들은 마코비안 도착과정(Markovian arrival process, MAP)에 의하여 시스템에 도착하고, 각 계층마다 고유의 임계점을 갖는다. 시스템 내에 고객들이 존재하지 않으면 서어버는 유휴해지고 어느 계층이든지 상관없이 계층에 부여된 임계점에 먼저 도달하면 서어버는 서비스를 시작한다. 우선순위가 높은 고객들을 먼저 서비스하는 비축출형 우선순위 서비스규칙을 따른다. 본 연구에서는 각 계층별 고객들의 대기시간분포에 대한 라플라스(Laplace-Stieltjes) 변환과 평균 대기시간을 유도한다.

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A Comparison of DC-DC Buck Converter Controller (DC-DC 벅 컨버터 제어기 비교)

  • Kang, Min Gu
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.281-285
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    • 2013
  • Transfer function of Buk DC-DC converter is derived using Laplace transformed LC filter. Using root locus and simulation waveform, this paper shows that Type2 controller proposed in reference has poor performance. Using root locus PI controller has designed. Using operational amp, PI controller is realized. Properly operated Type2 controller is proposed and proved using simulation result.