• East Asian mathematical journal
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• 제34권5호
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• pp.577-585
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• 2018

For the purpose of characterizing subharmonic or ${\mathcal{M}}$-subharmonic Hardy classes in the unit ball of ${\mathbb{C}}^n$, we establish fundamental identities between integral means in terms of volume integrals and Green's functions.

• 대한전자공학회논문지TC
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• 제40권5호
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• pp.197-203
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• 2003

본 논문에서는 cascode 하모닉 발생기를 이용하여 고변환이득 특성의 밀리미터파 subharmonic 믹서를 설계 및 제작하였다. 밀리미터파 subharmonic 믹서는 0.1 ㎛ GaAs PHEMT와 CPW 라이브러리를 이용하여 설계되었다. 설계된 cascode 하모닉 발생기의 출력 특성 측정결과, 14.5 GHz의 신호를 10 dBm 전력으로 인가하였을때, 1차, 2차 및 4차 하모닉 성분은 각각 -21.62 dBm, -32.65 dBm 및 -13.45 dBm의 결과를 얻어 가장 큰 4차 하모닉 성분을 얻었으며, 제작된 밀리미터파 subharmonic 믹서의 측정결과 14.5 GHz LO 신호를 13 dBm의 크기로 입력하였을 때 3.4 dB의 높은 변환이득 특성을 얻었다. 또한 -53.6 dB의 LO-to-IF, -46.2 dB의 우수한 LO-to-RF 격리 특성을 나타내었다. 제작된 밀리미터파 subharmonic 믹서는 기존에 발표된 밀리미터파 대역의 subharmonic 믹서에 비해 가장 높은 변환이득 특성을 나타내었다.

• Advances in nano research
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• 제12권4호
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• pp.353-363
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• 2022

This paper presents an investigation about superharmonic and subharmonic resonances of a carbon nanotube reinforced composite beam subjected to lateral harmonic load with damping effect based on the modified couple stress theory. As reinforcing phase, three different types of single walled carbon nanotubes (CNTs) distribution are considered through the thickness in polymeric matrix. The governing nonlinear dynamic equation is derived based on the von Kármán nonlinearity with using of Hamilton's principle. The Galerkin's decomposition technique is utilized to discretize the governing nonlinear partial differential equation to nonlinear ordinary differential equation and then is solved by using of multiple time scale method. Effects of different patterns of reinforcement, volume fraction, excitation force and the length scale parameter on the frequency-response curves of the carbon nanotube reinforced composite beam are investigated. The results show that volume fraction and the distribution of CNTs play an important role on superharmonic and subharmonic resonances of the carbon nanotube reinforced composite beams.

• East Asian mathematical journal
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• 제19권2호
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• pp.165-171
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• 2003

We show that any F-harmonic map from a compact manifold M to N is necessarily constant if N possesses a strictly-convex function, and prove 'Liouville type theorems' for F-harmonic maps. Finally, when the target manifold is the real line, we get a result for F-subharmonic functions.

• Structural Engineering and Mechanics
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• 제42권5호
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• pp.677-699
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• 2012

This article studies the secondary resonances of a clamped-clamped microresonator under combined electrostatic and piezoelectric actuations. The electrostatic actuation is induced by applying the AC-DC voltage between the microbeam and the electrode plate that lies at the opposite side of the microbeam. The piezoelectric actuation is induced by applying the DC voltage between upper and lower sides of piezoelectric layer. It is assumed that the neutral axis of bending is stretched when the microbeam is deflected. The drift effect of piezoelectric layer (the phenomenon where there is a slow increase of the free strain after the application of a DC field) is neglected. The equations of motion are solved by using the multiple scale perturbation method. The system possesses a subharmonic resonance of order one-half and a superharmonic resonance of order two. It is shown that using the DC piezoelectric actuation, the sensitivity of AC-DC electrostatically actuated microresonator under subharmonic and superharmonic resonances may be tuned. In addition, it is shown that the tuning domain of the microbeam under combined electrostatic and piezoelectric actuations at subharmonic and superharmonic conditions is larger than the tuning domain of microbeam under only the electrostatic actuation.

• 한국전자파학회논문지
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• 제15권2호
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• pp.152-158
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• 2004

Subharmonic injection locking 방식을 이용하여 디지털 위성방송 시스템의 신호원으로 사용될 수 있는 낮은 위상 잡음과 우수한 전력 효율을 갖는 X-band 주파수 합성기를 설계, 제작하였다. 주파수 합성기는 위상 고정 발진기의 역할과 동시에 고조파 발생기로 동작하는 1.75 GHz의 주 발진기(master발진기)와 10.5 GHz 부 발진기(slave 발진기)로 구성되어 있다. PLL 방법을 적용하여 구성된 1.75 GHz 주 발진기는 능동부를 형성하는 트랜지스터와 버퍼 증폭기의 역할을 하는 BJT 트랜지스터를 직렬 연결하여 사용하였는데 첫 단은 위상고정 발진기의 역할을 하고 둘째 단은 45 GHz의 차단 주파수(cutoff frequency)를 갖는BJT를 사용함으로써 고조파 발생기로 동작하게 하여 안정적으로 Injection Locking 될 수 있도록 인가될 신호인 6차 고조파의 크기를 충분히 크게 발생시키도록 하였다. 고조파 발생기로부터 발생한 6차 고조파는 뒤에 위치한 약 45 dB 이득을 갖는 증폭기로 동작하는 부 발진기에 인가되어 Injection Locking 된다. 이러한 특성을 갖는 회로 구조를 이용하여, ILO 방식을 이용함으로 얻는 간단한 회로 구조와 낮은 위상 잡음 특성은 물론 보다 우수한 전력 효율을 갖는 10.5 GHz 주파수 합성기를 설계 제작하였다. 제작된 10.5 GHz 주파수 합성기는 7.4 V/49 mA,-0.5 V/4 mA의 전력 소모와 4.53 dBm의 출력 전력, 그리고 10 kHz와 100 kHz 이격 주파수에서 각각 -95.09 dBc/Hz와-108.90 dBc/Hz의 위상 잡음 특성을 얻었다.

• 대한수학회논문집
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• 제28권3호
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• pp.511-516
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• 2013

We establish an easy proof of an integral identity using the unitary invariance, which is applied to compare harmonicity and M-harmonicity.

• 대한수학회보
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• 제45권2호
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• pp.321-338
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• 2008

Let $\bar{M}$ be a smoothly bounded pseudoconvex complex manifold with a family of almost complex structures $\{L^{\tau}\}_{{\tau}{\in}I}$, $0{\in}I$, which extend smoothly up to bM, the boundary of M, and assume that there is ${\lambda}{\in}C^{\infty}$(bM) which is strictly subharmonic with respect to the structure $L^0|_{bM}$ in any direction where the Levi-form vanishes on bM. We obtain explicit estimates for the $\bar{\partial}$-Neumann problem in Sobolev spaces both in space and parameter variables. Also we get a similar result when $\bar{M}$ is strongly pseudoconvex.

• 대한수학회보
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• 제47권3호
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• pp.623-632
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• 2010

A holomorphic function F defined on the unit disc belongs to $A^{p,{\alpha}}$ (0 < p < $\infty$, 1 < ${\alpha}$ < $\infty$) if $\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}$ dxdy < $\infty$. For boundedness of the composition operator defined by $C_{fg}=g{\circ}f$ mapping Blochs into $A^{p,{\alpha}$ the following (1) is a sufficient condition while (2) is a necessary condition. (1) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha}M_p(r,\lambda{\circ}f)^p\;dr$ < $\infty$ (2) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha+p}(1-r)^pM_p(r,f^#)^p\;dr$ < $\infty$.

• ETRI Journal
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• 제35권3호
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• pp.386-396
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• 2013

A 10-Gbit/s wireless communication system operating at a carrier frequency of 300 GHz is presented. The modulation scheme is amplitude shift keying in incoherent mode with a high intermediate frequency (IF) of 30 GHz and a bandwidth of 20 GHz for transmitting a 10-Gbit/s baseband (BB) data signal. A single sideband transmission is implemented using a waveguide-tapered 270-GHz high-pass filter with a lower sideband rejection of around 60 dB. This paper presents an all-electronic design of a terahertz communication system, including the major modules of the BB and IF band as well as the RF modules. The wireless link shows that, aided by a clock and data recovery circuit, it can receive $2^7$-1 pseudorandom binary sequence data without error at up to 10 Gbit/s for over 1.2 m using collimating lenses, where the transmitted power is 10 ${\mu}W$.