• 대한수학회보
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• 제47권1호
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• pp.113-119
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• 2010

If f is M-harmonic and integrable with respect to a weighted radial measure $\upsilon_{\alpha}$ over the unit ball $B_n$ of $\mathbb{C}^n$, then $\int_{B_n}(f\circ\psi)d\upsilon_{\alpha}=f(\psi(0))$ for every $\psi{\in}Aut(B_n)$. Equivalently f is fixed by the weighted Berezin transform; $T_{\alpha}f = f$. In this paper, we show that if a function f defined on $B_n$ satisfies $R(f\circ\phi){\in}L^{\infty}(B_n)$ for every $\phi{\in}Aut(B_n)$ and Sf = rf for some |r|=1, where S is any convex combination of the iterations of $T_{\alpha}$'s, then f is M-harmonic.

• Journal of Power Electronics
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• 제8권4호
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• pp.317-324
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• 2008

This paper proposes a Multiband Shunt Hybrid Active Filter (SHAF) with sensorless control. A plant is modeled in the discrete- time domain and a controller is designed using the Pole shifting law in the polynomial domain. This control approach is very useful for filtering the load harmonics with reduced sensor counts where a low cost solution like SHAF is required. Multiple Synchronous Reference Frames (MSRF) and low pass filters are used to measure the $5^{th}$ and $7^{th}$ harmonic components separately from the load and filter currents. Individual current controllers are designed for the $5^{th}$ and $7^{th}$ harmonic currents. Control is realized in the stationary, three-phase (abc) reference frame. Performance of the controller is validated through simulation, using realistic plant and controller models, as well as experimentally on a full-scale distribution system.

• 대한전자공학회논문지SP
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• 제47권5호
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• pp.109-116
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• 2010

본 논문에서는 하모닉 구조를 이용하여 다성 음악의 주요 멜로디를 검출하는 방법을 제안한다. 다성 음악은 다수의 음원을 동시에 포함하므로 주요 멜로디를 검출하기 위하여 다중 기본 주파수를 추출하고 각 기본 주파수의 성질을 기반으로 주요 멜로디를 구하는 과정으로 구성된다. 하모닉 구조는 기본 주파수의 배음관계를 나타내고 단일 음원 신호의 중요한 특성 파라미터이다. 따라서 제안하는 방법은 하모닉 구조의 정확도를 기준으로 다성 음악에 존재하는 모든 기본 주파수 후보를 추출하고, 추출된 기본 주파수 후보에 대하여 하모닉 성분을 조합하여 하모닉 평균 에너지를 구하여 기본 주파수 후보의 중요도 순위를 결정한다. 마지막으로 기본 주파수 후보의 순위와 기본 주파수의 연속성을 기반으로 피치 트래킹을 진행하여 최종 주요 멜로디에 해당하는 기본 주파수를 검출한다. 제안한 방법의 성능을 ADC 2004 DB와 가요 100곡에 대하여 MIREX 2005 측정 방법에 따라 측정하였으며, ADC 2004 DB에 대하여 90.42%의 검출 정확도를 가진다.

• Smart Structures and Systems
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• 제30권6호
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• pp.639-648
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• 2022

This study aims at numerically and experimentally investigating torsional guided wave mixing with weak material nonlinearity under acoustoelastic effect in tubular structures. The acoustoelastic effect on single central frequency guided wave propagation in structures has been well-established. However, the acoustoelastic on guided wave mixing has not been fully explored. This study employs a three-dimensional (3D) finite element (FE) model to simulate the effect of stress on guided wave mixing in tubular structures. The nonlinear strain energy function and theory of incremental deformation are implemented in the 3D FE model to simulate the guided wave mixing with weak material nonlinearity under acoustoelastic effect. Experiments are carried out to measure the nonlinear features, such as combinational harmonics and second harmonics in related to different levels of applied stresses. The experimental results are compared with the 3D FE simulation. The results show that the generation combinational harmonic at sum frequency provides valuable stress information for tubular structures, and also useful for damage diagnosis. The findings of this study provide physical insights into the effect of applied stresses on the combinational harmonic generation due to wave mixing. The results are important for applying the guided wave mixing for in-situ monitoring of structures, which are subjected to different levels of loadings under operational condition.

• 호남수학학술지
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• 제27권2호
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• pp.195-203
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• 2005

We show that the exact Bergman kernel function associated to a $C^{\infty}$ bounded domain in the plane relates the derivatives of the Ahlfors map in an explicit way. And we find several formulas relating the exact Bergman kernel to classical kernel functions in potential theory.

• 대한수학회보
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• 제32권1호
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• pp.115-121
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• 1995

We define a group of homogeneous type G which is a more general setting than $R^n$. This group G forms a natural habitat for extensions of many of the objects studied in Euclidean harmonic analysis.

• 대한수학회지
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• 제32권4호
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• pp.649-659
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• 1995

The purpose of this paper is to generalize the Carleson inequality, which is known to play important roles in harmonic analysis. The result given here is a generalization of Coifmann, Meyer, Stein [CMS]. A similar result is shown by Deng [D].

• 충청수학회지
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• 제22권1호
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• pp.89-99
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• 2009

Let $\mu$ be a finite positive Borel measure on the unit ball $B{\subset}\mathbb{C}^n$ and $\nu$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, $\sigma$ is the rotation-invariant measure on S such that ${\sigma}(S)=1$. Let $\mathcal{P}[f]$ be the invariant Poisson integral of f. We will show that there is a constant M > 0 such that $\int_B{\mid}{\mathcal{P}}[f](z){\mid}^{p}d{\mu}(z){\leq}M\;{\int}_B{\mid}{\mathcal{P}}[f](z)^pd{\nu}(z)$ for all $f{\in}L^p({\sigma})$ if and only if ${\parallel}{\mu}{\parallel_r}\;=\;sup_{z{\in}B}\;\frac{\mu(E(z,r))}{\nu(E(z,r))}\;<\;\infty$.

• 응용통계연구
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• 제20권1호
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• pp.117-132
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• 2007

두 평정자가 있는 이차원 분류표에서 우연에 의한 합치 비율을 보정한 Cohen의 합치도($\kappa$)는 문제점이 있는 측도로 알려져 있다. $\kappa$는 평정자의 분류 비율(주변확률)에 매우 민감하고, 합치도로서의 조건도 만족하지 못한다. 그러나 $\kappa$를 비롯한 기존 합치도들은 주변확률이 0.5에 가까울 때 안정되며 비슷한 값을 갖는다. 본 연구에서는 이차원 분류표의 불균형적 주변분포를 보정함으로써 $\kappa$의 역설을 해결하는 새로운 합치도 H를 제안한다. 또한 예제를 통해 기존의 합치도들과 제안된 합치도를 비교한다.

• Korean Journal of Mathematics
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• 제28권3호
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• pp.449-457
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• 2020

We focus on the interations of the weighted Berezin transform T_α on L^p(τ), where τ is the invariant measure on the complex unit ball B_n. Iterations of T_α on L¹_R(τ) the space of radial integrable functions played important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. Here, we introduce more properties on iterations of T_α on L¹_R(τ) and observe differences between the iterations of T_α on L1(τ) and L^p(τ) for 1 < p < ∞.