• Title/Summary/Keyword: 복소분석

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Analysis of the Spectro-ellipsometric Data with Backside Reflection from Semi-transparent Substrate by Using a Rotating Polarizer Ellipsometer (반투명 기층에 의한 후면반사를 고려한 회전검광자 방식의 타원측정 및 분석)

  • Seo, Yeong-Jin;Park, Sang-Uk;Yang, Seong-Mo;Kim, Sang-Youl
    • Korean Journal of Optics and Photonics
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    • v.22 no.4
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    • pp.170-178
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    • 2011
  • The spectroscopic ellipsometric constants are analyzed to determine the thickness and the complex refractive index of a film coated on a semi-transparent substrate, with the reflection from the backside of the substrate properly considered. Expressions representing the effect of the backside reflection on ellipsometric constants are derived using the thickness and the complex refractive index of the substrate. The thickness and the complex refractive of an ITO thin film coated on a glass substrate are obtained by using this method. The results agree quite well with the ones obtained by following the conventional modeling procedure where the backside reflection is neglected during ellipsometric measurement and analysis.

Performance Comparison of Phase Detectors for the Synchronization Analysis of Electroencephalographic Signal (뇌파신호의 동기해석을 위한 위상검출기의 성능비교)

  • Kim, HyeJin;Lee, JeeEun;Yoo, Sun K.
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.12
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    • pp.277-284
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    • 2013
  • The analysis of phase synchronization characteristics from EEG signals is important for the understanding of information processing functionality in the brain network. In this paper, wavelet transformation(WT), Hilbert tansformation (HT), complex demodulation (CD) methods having time localization characteristics were applied to real evoked potential data and noise added simulation data with center frequencies corresponding to EEG bands for the estimation performance analysis of phase offset, phase changing point, and interband crosstalk. The WT is the best both in ${\delta}$, ${\theta}$, and ${\alpha}$ band signal decomposition, and in analyzing phase synchronization performance. The CD can be efficiently used in changing point detection under tolerant noise condition because of its abrupt performance degradation over noise endurance level. From experimental observations, the WT is the most suitable in phase synchronization application of EEG signal, and the CD can be affordable in restricted application such as changing point detection for higher bands than ${\delta}$. Particularly, WT and CD can be used to detect the changing instant of brain function by indirectly estimating the phase changing point.

Refractive index change of nonlinear polymer thin films induced by corona poling and quantitative evaluation of poling effect (코로나 극성배향이 비선형 고분자박막의 복소굴절율에 미치는 영향 및 배향효과의 정량화)

  • 길현옥;김상준;방현용;김상열
    • Korean Journal of Optics and Photonics
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    • v.10 no.3
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    • pp.181-187
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    • 1999
  • We prepared the side-chain type nonlinear optical NPP(N-(6-nitrophenyl)-(L)-prolinol) polymer films by spin coating method. Ellipsometric spectra were in situ collected by using spectroscopic phase modulated ellipsometer while the NPP polymer films were being corona poled at the temperature above glass transition. We calculated film thickness and the refractive index dispersion by modeling the spectro-ellipsometry data in transparent region. We also calculated the refractive index and the extinction coefficient of the polymer films by numerically inverting the spectro-ellipsometry data in absorbing region, while the previously determined film thickness was used. The independently determined extinction coefficient spectra from the analysis of transmission spectra were compared with those by spectro-ellipsometry and they showed an excellent agreement with each other. From the analysis of the complex refractive index change of the NPP polymer thin films induced by the corona poling, we could determine the vertical complex refractive index and the horizontal complex refractive index separately. Using the volume fraction of the vertical component f⊥, the degree of poling of poled NPP polymer films was quantitatively addressed. It is suggested that the present method can be used to quantitatively address the degree of poling in an absolute manner and to depth profile the poled fraction of thick polymer films. It will be useful to understand the structural change of polymer films and hence the poling mechanism during the poling process.

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Performance Analysis for TR-UWB System Exploiting Complex Frequency-Components (복소 주파수 성분 처리를 통한 TR-UWB 시스템의 성능분석)

  • Jang, Dong-Heon;Yang, Hoon-Gee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.2
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    • pp.253-260
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    • 2009
  • This paper, mathematically analyzes the performance of newly proposed TR-UWB system which the frequency components of a UWB pulse were processed so that the system could be implemented with ADCs of a few MHz sampling rate, and presents the comparison with an existing frequency-domain based TR-UWB system. The comparison is mainly based on the SNR ratio which depends on the mean and the variance of the frequency components. We also shows that the simulation results to support the theoretical analysis where the comparison is made under the IEEE 802.15.3a channel model as well as AWGN channel.

Computational Complexity in Imaginary Quadratic Order (이차 복소 order에서의 계산 복잡도에 관한 소고)

  • Kim, Yong-Tae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.3
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    • pp.545-551
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    • 2012
  • In this paper, we propose a new cryptosystem based on the IQC depended on the complexity of class number and intractibility of factoring integer, and introduce two algorithm which reduce encryption and decryption times. To recognize the security of the cryptosystem, we take a simple example to analyze the complexities of public key and secret key and then introduce the operating process of the cryptosystem.

2-Inertia Motor Speed Control System with Non-linear Compensator (비선형 보상항을 갖는 2-관성 모터 속도 제어 시스템)

  • Lee, Duk;An, Young-Joo;Lee, Hyung-ki
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1677-1678
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    • 2008
  • 본 논문은 회전기의 비틀림 현상을 억제하기 위하여 복소쌍입력 기술함수 기법을 이용한 제어시스템을 구성한다. 시스템의 주기적 출력은 복소 기술함수로 표현되며 제어기는 이러한 함수를 바탕으로 비선으로 설계된다. 제안한 알고리즘의 타당성 및 성능의 우수성을 검증하기 위하여 2관성 특성을 갖는 DC 전동기 시스템에 적용하여 실시간 실험을 통해 성능을 분석하였다. 시스템을 구동하기 위한 하드웨어 보드는 PSoC(Programmable System on Chip) 프로세서를 이용하여 임베디드 형태로 구성하였으며 실시간 데이터는 제안하는 제어알고리즘이 프로그램되어 있는 PC의 Matlab/Simulink 소프트웨어와 연동이 가능하게 구성하였다.

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3차 분기집합의 2-주기 성분에 관한 기하학적 성질 연구

  • Kim, Yeong-Ik;Geum, Yeong-Hui
    • Communications of Mathematical Education
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    • v.18 no.1 s.18
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    • pp.239-248
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    • 2004
  • 본 논문에서는 맨델브로트(Mandelbrot) 집합의 개념을 3차의 복소 다항식 z^3$+c 에 확장시켜 3차 분기집합을 정의하고, 이 집합의 2-주기 성분의 경계선 방정식과 관련 기하학적 성질을 고등학교 및 대학에서 다루는 미적분학 관점에서 분석하고자 한다. 복소수, 삼각함수, 매개함수, 함수의 극값, 미분 및 적분 등의 기초 이론을 활용하여 2-주기 성분의 경계선 방정식을 매개함수로 표시하고, 경계선의 내부 면적, 둘레 길이, 무게중심 등을 이론적으로 기술한다. 수학 소프트웨어인 매스매티카(Mathematica)를 활용하여 2-주기성분의 작도 및 기하학적 성질에 관한 수치 해석적 결과를 제시하고자 한다.

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Target event analysis using complex signal of instrumentation radar (계측 레이더 복소신호 분석에 의한 비행현상 계측)

  • Hwang, Gyu-Hwan;Seo, Il-Hwan;Ye, Sung-Hyuck
    • Journal of the Korea Institute of Military Science and Technology
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    • v.9 no.2 s.25
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    • pp.118-126
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    • 2006
  • As weapon systems are becoming advanced and intelligent, they are designed to have such events like ejecting sub-munitions. So it is continually requested to measure the event time and position exactly. We can measure the event time and position by analyzing the complex signal of the instrumentation radar in the time domain and can also obtain the spin rate of the target by analyzing the complex signal in the frequency domain.

Technology Trends of Complex Modulation Spatial Light Modulator (복소변조 공간 광 변조 기술 동향)

  • Nam, J.;Kim, H.E.;Park, M.;Kim, Y.H.;Hwang, C.S.
    • Electronics and Telecommunications Trends
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    • v.37 no.4
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    • pp.81-88
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    • 2022
  • In this study, we investigate the trends and prospects of spatial light modulation (SLM) technology that enables full complex modulation as a next-generation SLM. Current SLM technology, which is used as a key element in holography, augmented reality (AR), XR, and realistic displays, has performance limits that modulate only amplitude or phase. Notably, SLM capable of full complex modulation does not produce diffraction noise, unlike DC and twin image, and thus has a high-efficiency performance. In the future, the application field of next-generation SLM, which can be full-complex modulated, is expected to cover a wide range of holography-AR and-XR devices, optical artificial intelligence, and 6G free space optics communications, which will greatly contribute to the development of a super-realistic metaverse platform and service.

Magneto-impedance and Magnetic Relaxation in Electrodeposited Cu/Ni80Fe20 Core/Shell Composite Wire (전기도금 된 Cu/Ni80Fe20 코어/쉘 복합 와이어에서 자기임피던스 및 자기완화)

  • Yoon, Seok Soo;Cho, Seong Eon;Kim, Dong Young
    • Journal of the Korean Magnetics Society
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    • v.25 no.1
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    • pp.10-15
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    • 2015
  • The model for the magneto-impedance of composite wires composed of highly conductive nonmagnetic metal core and soft magnetic shell was derived based on the Maxwell's equations. The Cu($100{\mu}m$ diameter)/$Ni_{80}Fe_{20}$($15{\mu}m$ thickness) core/shell composite wire was fabricated by electrodeposition. The impedance spectra for the $Cu/Ni_{80}Fe_{20}$ core/shell composite wire were measured in the frequency range of 10 kHz~10 MHz under longitudinal dc magnetic field in 0 Oe~200 Oe. The spectra of complex permeability in circumferential direction were extracted from the impedance spectra by using the derived model. The extracted spectra of complex permeability showed relaxation-type dispersion which is well curve-fitted with Debye equation with single relaxation frequency. By analyzing the magnetic field dependence of the complex permeability spectra, it has been verified that the composite wire has magnetic anisotropy in longitudinal direction and the origin of the single relaxation process is the magnetization rotation in circumferential direction.