• Title/Summary/Keyword: Linear Convolution

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Effective Medium Approach of Left Handed Material using a Dispersive FDTD Method (분산 FDTD 법을 이용한 LHM의 유효 매질 접근법)

  • Lee Jung-Yub;Lee Jeong-Hae;Kim Hyeong-Seok;Jung Hyun-Kyo
    • 한국정보통신설비학회:학술대회논문집
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    • 2004.08a
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    • pp.15-18
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    • 2004
  • LHM (Left Handed Material)은 특정 주파수 범위에서 음의 유전율과 투자율을 가지는 물질이다. 이 물질의 유효 유전율과 투자율은 분산 특성을 가지며 로렌츠 (Lorentz) 물질과 비슷한 형태를 가진다. 본 논문에서는 FDTD (Finite Difference Time Domain) 법을 바탕으로 한 PLRC (Piecewise Linear Recursive Convolution) 법을 이용하여 LHM 내의 유효 전파특성을 모의한다. 모의실험 결과는 음의 유전율과 투자율을 가지는 주파수 범위를 보여준다.

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Transient Linear Elastodynamic Analysis by the Finite Element Method (유한요소법을 이용한 과도 선형 동탄성 해석)

  • Hwang, Eun-Ha;Oh, Guen
    • Journal of the Korean Society of Industry Convergence
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    • v.12 no.3
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    • pp.149-155
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    • 2009
  • A new finite element equation is derived by applying quadratic and cubic time integration scheme to the variational formulation in time-integral for the analysis of the transient elastodynamic problems to increase the numerical accuracy and stability. Emphasis is focused on methodology for cubic time integration scheme procedure which are never presented before. In this semidiscrete approximations of the field variables, the time axis is divided equally and quadratic and cubic time variation is assumed in those intervals, and space is approximated by the usual finite element discretization technique. It is found that unconditionally stable numerical results are obtained in case of the cubic time variation. Some numerical examples are given to show the versatility of the presented formulation.

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Comparative study of Probabilistic Load Flow and Fuzzy Load Flow (확률적 전력조류계산과 퍼지 전력조류계산과의 비교 연구)

  • Jung, Young-Soo;Shim, Jae-Hong;Kim, Jin-O
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1100-1102
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    • 1997
  • This paper presents a generalized multi-parameter distribution method for the convolution of linear combination of random variables to calculate system load flow in a conventional probabilistic approach and also presents a conceptual possibilistic approach using fuzzy set theory to manage uncertainties. The probability distribution function is transformed into an appropriate possibilistic representation under the compromise between the transformation consistency and the human updating experience. The IEEE 25-bus system is used to demonstrate the capability of the proposed algorithm.

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MIMO Channel Capacity Maximization Using Periodic Circulant Discrete Noise Distribution Signal

  • Poudel, Prasis;Jang, Bongseog;Bae, Sang-Hyun
    • Journal of Integrative Natural Science
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    • v.13 no.2
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    • pp.69-75
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    • 2020
  • Multiple Input Multiple Output (MIMO) is one of the important wireless communication technologies. This paper proposes MIMO system capacity enhancement by using convolution of periodic circulating vector signals. This signal represents statistical dependencies between transmission signal with discrete noise and receiver signal with the linear shifting of MIMO channel capacity by positive extents. We examine the channel capacity, outage probability and SNR of MIMO receiver by adding log determinant signal with validated in terms of numerical simulation.

Deconvolution Based on the Reconstruction of Residue Polynomials (나머지 다정식의 재구성에 의한 디컨볼루션)

  • 유수현;김재구
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.6
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    • pp.19-27
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    • 1985
  • In most engineering problems the output of linear system could be expressed by a con-volution of finite input and impulse response. In this paper, the deconvolution algorithm based on the reconstruction of residue polynomials to get a convolution factor, impvlse response or system input, were considered. Two techniques, using a matrix and Euclid's algorithm were discussed. In the illustrated examples, the result showed high accuracy about 10-10 RMS error.

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Review on Application Tolerance of Unit Hydrograph for Calculating Flood Runoff Hydrograph (홍수 유출 수문곡선 산출에 단위유량도 적용 오차의 정도 검토)

  • Yoo, Ju-Hwan;Yoon, Yeo-Jin
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.346-349
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    • 2010
  • In this study several unit hydrographs by rainfall storms are derived and moving averaged unit hydrograph is extracted from them based on the rainfall-runoff data in a small basin 8.5 $km^2$ wide. And peak discharges and peak times of the unit hydrographs are investigated and reviewed. And then a representative unit hydrograph of the moving averaged one is applied to the linear convolution integration for obtaining the flood discharge hydrograph and peak discharge and time of its result are researched and inspected. Variance in application of the representative unit hydrograph in a basin on assumption of linearity is appeared and this is given as a counterevidence about that the runoff response from rainfall on a basin has nonlinear characteristics. And As a result of application of derived representative unit hydrograph the errors in peak discharge and time are investigated.

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PDE-PRESERVING PROPERTIES

  • PETERSSON HENRIK
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.573-597
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    • 2005
  • A continuous linear operator T, on the space of entire functions in d variables, is PDE-preserving for a given set $\mathbb{P}\;\subseteq\;\mathbb{C}|\xi_{1},\ldots,\xi_{d}|$ of polynomials if it maps every kernel-set ker P(D), $P\;{\in}\;\mathbb{P}$, invariantly. It is clear that the set $\mathbb{O}({\mathbb{P}})$ of PDE-preserving operators for $\mathbb{P}$ forms an algebra under composition. We study and link properties and structures on the operator side $\mathbb{O}({\mathbb{P}})$ versus the corresponding family $\mathbb{P}$ of polynomials. For our purposes, we introduce notions such as the PDE-preserving hull and basic sets for a given set $\mathbb{P}$ which, roughly, is the largest, respectively a minimal, collection of polynomials that generate all the PDE-preserving operators for $\mathbb{P}$. We also describe PDE-preserving operators via a kernel theorem. We apply Hilbert's Nullstellensatz.

Fast Bilateral Filtering Using Recursive Gaussian Filter for Tone Mapping Algorithm

  • Dewi, Primastuti;Nam, Jin-Woo;Cha, Eui-Young
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.05a
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    • pp.176-179
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    • 2010
  • In this paper, we propose a fast implementation of Bilateral filter for tone mapping algorithm. Bilateral filter is able to preserve detail while at the same time prevent halo-ing artifacts because of improper scale selection by ensuring image smoothed that not only depend on pixel closeness, but also similarity. We accelerate Bilateral filter by using a piecewise linear approximation and recursive Gaussian filter as its domain filter. Recursive Gaussian filter is scale independent filter that combines low cost 1D filter which makes this filter much faster than conventional convolution filter and filtering in frequency domain. The experiment results show that proposed method is simpler and faster than previous method without mortgaging the quality.

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Some New Subclasses of Analytic Functions defined by Srivastava-Owa-Ruscheweyh Fractional Derivative Operator

  • Noor, Khalida Inayat;Murtaza, Rashid;Sokol, Janusz
    • Kyungpook Mathematical Journal
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    • v.57 no.1
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    • pp.109-124
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    • 2017
  • In this article the Srivastava-Owa-Ruscheweyh fractional derivative operator $\mathcal{L}^{\alpha}_{a,{\lambda}}$ is applied for defining and studying some new subclasses of analytic functions in the unit disk E. Inclusion results, radius problem and other results related to Bernardi integral operator are also discussed. Some applications related to conic domains are given.

Mechanical Model of Displacement-based Time Domain Transmitting Boundary for Flexible Dam-Reservoir Interactions (유연한 댐-호소의 상호작용을 위한 변위 기초 시간 영역 전달 경계의 역학적 모델)

  • 이진호;김재관;조정래
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.232-237
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    • 2003
  • A new displacement-based transmitting boundary is developed for the transient analysis of dynamics interactions between flexible dam body and reservoir impounding compressible water The mechanical model is derived analytically in time domain from the kernel function, Bessel function, appearing in the convolution integral and corresponding mechanical model is developed that consists of mass, damping and stiffness matrices. The resulting system of, equations uses displacement degrees of freedom. Hence it can be coupled directly with the displacement-based solid finite element model of dam body, linear of nonlinear. The method was applied to the rigid and flexible dam models. The results showed very good agreement : with the semi-analytic frequency domain solutions.

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