• Title/Summary/Keyword: 복소 분석

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Development of an Electro Impedance Spectroscopy device for EDLC super capacitor characterization in a mass production line (EDLC 슈퍼 캐피시터 특성 분석을 위한 양산용 전기화학 분석 장치 개발)

  • Park, Chan-Hee;Lee, Hye-In;Kim, Sang-Jung;Lee, Jung-Ho;Kim, Sung-Jin;Lee, Hee-Gwan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.12
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    • pp.5647-5654
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    • 2012
  • In this paper, we developed an electro impedance spectroscopy (EIS) device, which are primarily used for the analysis of fuel cells or batteries, to widen its coverage to the next generation super capacitor EDLC characterization. The developed system was composed of a signal generator that can generate various signal patterns, a potentiostatic generator, and a high speed digital filter for signal processing and measurement program. The developed system is portable, which is not only suitable laboratory use but also for mass production line. The special features of the system include a patterned output signal from 0.01 to 20 kHz, and a fast Fourier transform (FFT) analysis of current signals, both of which are acquired simultaneously. Our tests showed similar results after comparing the analysis from our newly-developed device showing the characteristics of EDLC complex impedance and the analysis from an equivalent impedance which was applied to an equivalent circuit. Now, we can expect a fast inspection time from the application of the present system to the super capacitor production line, based on time-varying changes in electrochemical impedance.

Analysis of Research Trends in SIAM Journal on Applied Mathematics Using Topic Modeling (토픽모델링을 활용한 SIAM Journal on Applied Mathematics의 연구 동향 분석)

  • Kim, Sung-Yeun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.607-615
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    • 2020
  • The purpose of this study was to analyze the research status and trends related to the industrial mathematics based on text mining techniques with a sample of 4910 papers collected in the SIAM Journal on Applied Mathematics from 1970 to 2019. The R program was used to collect titles, abstracts, and key words from the papers and to analyze topic modeling techniques based on LDA algorithm. As a result of the coherence score on the collected papers, 20 topics were determined optimally using the Gibbs sampling methods. The main results were as follows. First, studies on industrial mathematics were conducted in a variety of mathematics fields, including computational mathematics, geometry, mathematical modeling, topology, discrete mathematics, probability and statistics, with a focus on analysis and algebra. Second, 5 hot topics (mathematical biology, nonlinear partial differential equation, discrete mathematics, statistics, topology) and 1 cold topic (probability theory) were found based on time series regression analysis. Third, among the fields that were not reflected in the 2015 revised mathematics curriculum, numeral system, matrix, vector in space, and complex numbers were extracted as the contents to be covered in the high school mathematical curriculum. Finally, this study suggested strategies to activate industrial mathematics in Korea, described the study limitations, and proposed directions for future research.

A case study of ground subsidence analysis using the InSAR technique (InSAR 기술을 이용한 지반침하분석 사례연구)

  • Moon, Joon-Shik;Oh, Hyoung-seok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.24 no.2
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    • pp.171-182
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    • 2022
  • InSAR (Interferometry SAR) technique is a technique that uses complex data to obtain phase difference information from two or more SAR image data, and enables high-resolution image extraction, surface change detection, elevation measurement, and glacial change observation. In many countries, research on the InSAR technique is being conducted in various fields of study such as volcanic activity detection, glacier observation in Antarctica, and ground subsidence analysis. In this study, a case of large ground settlement due to groundwater level drawdown during tunnelling was introduced, and ground settlement analyses using InSAR technique and numerical analysis method were compared. The maximum settlement and influence radius estimated by the InSAR technique and numerical method were found to be quite similar, which confirms the reliability of the InSAR technique. Through this case study, it was found that the InSAR technique reliable to use for estimating ground settlement and can be used as a key technology to identify the long-term ground settlement history in the absence of measurement data.

An Analysis of Differentiated Teaching Materials in the Russian Mathematics Textbooks (러시아의 수학교과서에 제시된 수준별 교수내용의 분석)

  • Han, Inki
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.139-170
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    • 2022
  • In relation to differentiated mathematics education, Russia has a longer experience in research and practice than Korea. The mathematics curriculum for 10-11 grades currently in use in Russia is a level-specific curriculum and consists of a basic level and an advanced level. And in Russia mathematics textbooks for 10-11 grades are also textbooks for each level. In this study, we analyzed basic level textbook and advanced level textbook written by the same author group among the textbooks 'Algebra and Introduction of Mathematical Analysis' of the 10th grade in Russia. To analyze the main learning contents and textbook descriptions that were added in advanced level the 'real numbers' and 'complex numbers' sections were studied. The main contents of basic and advanced level textbooks for 'functions', 'trigonometric functions', 'trigonometric equations', 'conversions of trigonometric expressions', and 'derivatives', which are included in both basic and advanced textbooks were compared and analyzed, and the descriptive characteristics of the definitions and theorems presented in the two levels of textbooks were also compared and analyzed. From the results of this study, it is expected that various information on the contents of various level textbooks of mathematics, the differences between textbooks for each level, and strategies for the composition of textbooks for various level can be accumulated.

Analysis of Adjacent-Channel Leakage-Ratio of Wide-Band Power Amplifiers through Multi-Tone Signals with Statistical Similarity (다중 톤 신호의 통계적 특성 확보를 통한 광대역 신호 증폭기의 인접 채널 간섭 분석)

  • Park, Young-Cheol
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.12
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    • pp.1172-1175
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    • 2011
  • In this paper, a design method of multi-tone signals for the measurement of adjacent-channel power-ratios on power amplifiers is suggested. Because most tests for power amplifiers in production are performed with single-tone signals, its testing accuracy is not guaranteed as the signal complexity increases. Therefore, the application of multi-tone signals to the testing is suggested by optimized complex coefficients of each tones for the best statistical similarity to the original modulated signal. From the verification, a 802.11a signal was replaced with a multi-tone signal of N=10, with the complex coefficients generated by the suggested method. The resulting measurements on the ACLR of 2.4 GHz power amplifier showed successful accuracy of less than 1 dB discrepancy.

Spectrum Analysis and Performance Evaluation of OFDM-Single-Side Band Systems Based on BPSK Modulation (BPSK 변조 기반의 OFDM-Single Side Band 시스템의 스펙트럼 분석 및 성능 평가)

  • Kim, Byeongjae;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.11
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    • pp.1380-1386
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    • 2016
  • In this paper, we propose and evaluate OFDM(Orthogonal Frequency Division Multiplexing)-SSB(Singe Side Band) for improving spectral efficiency. The proposed system is based on OFDM system using DCT(Discrete Cosine Transform) and DHT(Discrete Hilbert Transform) for SSB modulation, this proposed system transmit a BPSK modulation signal through a single sideband and BPSK modulation signal through the other single sideband. In other words, we design and evaluate the proposed system which transmit two BPSK signal through each other single sideband. Also each BPSK BER performance is similar with theoretical BPSK BER performance. the proposed system transmits BPSK signal using half of spectrum of conventional OFDM system or transmit two BPSK signal in same time.

Faults Current Discrimination of Power System Using Wavelet Transform (웨이블렛 변환을 이용한 전력시스템 고장전류의 판별)

  • Lee, Joon-Tark;Jeong, Jong-Won
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.3
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    • pp.75-81
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    • 2007
  • Recently the subject of "wavelet analysis" has be drawn by both mathematical and engineering application fields such as Signal Processing, Compression/Decomposition, Wavelet-Neural Network, Statistics and etc. Even though its similar to Fourier analysis, wavelet is a versatile tool with much mathematical content and great potential for applications. Especially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. Therefore, wavelet transform has good time-analysis ability for high frequency component, and has good frequency-analysis ability for low frequency component. Using the discriminative ability is more easy method than other conventional techniques. In this paper, Morlet wavelet transform was applied to discriminate the kind of line fault by acquired data from real power transformation network. The experimental result presented that Morlet wavelet transform is easier, and more useful method than the Fast Fourier Transform(FFT).

Modeling and Simulation Study of Multipath Ghosts (다중 경로 고스트의 모델링 및 시뮬레이션 연구)

  • Kwon, Sung-Jae
    • Journal of the Korea Computer Industry Society
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    • v.6 no.5
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    • pp.675-686
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    • 2005
  • This paper proposes a new method of mathematically modeling and computer simulating television ghosts wherein television signals that have undergone multipath fading are generated without using approximations by considering the attenuation, time delay, phase, and timing jitter between consecutive frames. Conventional methods used polynomial interpolation or complex arithmetic to take into account the ghost phase, but our method uses only real arithmetic by employing the Hilbert transform and also reduces the computation time using the FFT (fast Fourier transform) algorithm. Furthermore, it is also possible to observe the transmit waveforms in both RF and IF ranges. Various ghost patterns generated in software provide for essential data required for the development of ghost canceling algorithms, and are deemed to be very useful in analyzing the constituent blocks of the transmitter and receiver chain in television broadcasting. The development of ghost cancelers needs to be preceded by the task of mathematically modeling ghosts and their extensive computer simulations.

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Estimate of Channel Capacity for M-ary PSK Signal in Fading Channel (페이딩 통신로에서 M-ary PSK 신호의 통신용량 산출)

  • 고봉진;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.4
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    • pp.649-659
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    • 1994
  • The channel capacity of fadingchannel becomes less than that of Gaussian noise channel. Moreover, the channel capacity of system with modulated signal is expected to be much less than that of system with nonmodulated signal. It is very difficult to evaluate the capacity in fading channel with modulated signal. The channel capacity for M-ary PSK signal has already been derived in Gaussian noise channel but it is very complicate form composed of complex integral formula. In this paper, we have derived the simple form of channel capacity with M-ary PSK signal by using the average symbol error rate. And we also evaluate the capacity in Rician and m-distribution fading channels as well as Gaussian noise channel. We have verified that the channel capacity obtained are almost the same as in other literature. As a results, we show that the channel capacity of M-art PSK signal increases to converge to the number of bits per symbol (log M) as signal to-noise power ratio increases.

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Analysis of Grain Boundary Phenomena in ZnO Varistor Using Dielectric Functions (유전함수를 이용한 ZnO 바리스터의 입계 특성 분석)

  • Hong, Youn-Woo;Shin, Hyo-Soon;Yeo, Dong-Hun;Kim, Jong-Hee
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.178-178
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    • 2008
  • ZnO 바리스터는 인가되는 전압에 따라 저항이 변하는 전압 의존형 저항체이며 각종 전기 전자 정보통신용 제품에 정전기(ESD) 대책용 소자로 폭 넓게 사용되는 전자 세라믹스 부품이다. 특별히 Bi-based ZnO 바리스터는 다양한 상(phase)으로 구성되어 있으며 그 입계의 전기적 특성은 소량 첨가되는 dopant의 종류에 따라 다양하게 변하는 것으로 알려져 있다. 본 연구에서는 Bi-based ZnO 바리스터 (ZnO-$Bi_2O_3$, ZnO-$Bi_2O_3-Mn_3O_4$)에서 각종 유전함수$(Z^*,M^*,\varepsilon^*,Y^*,tan{\delta})$를 이용하여 입계의 주파수-온도에 대한 특성을 살펴 보았다. 일반적인 ZnO 바리스터 제조법으로 시편을 제작하여 78K~800K 온도 범위에서 각종 유전함수를 이용하여 복소 평면도(complex plane plot)와 주파수 응답도(frequency explicit plot)의 방법으로 defect level과 입계 특성(활성화 에너지, 정전용량, 저항, 입계 안정성 등)에 대하여 고찰하였다. ZnO-$Bi_2O_3$(ZB)계와 ZnO-$Bi_2O_3-Mn_3O_4$(ZBM)계 모두 상온 이하의 온도에서 $Zn_i$$V_o$의 결함이 나타났으며, 이들의 결함 준위는 각 유전함수에 따라 다소 차이가 났다. 입계 특성으로 ZB계는 이상구간(560~660K)을 전후로 1.15 eV $\rightarrow$ 1.49 eV의 활성화 에너지의 변화가 나타났지만, ZBM계는 이러한 현상이 나타나지 않았다. 또한 입계 전위 장벽의 온도 안정성에 대해서는 Cole-Cole model을 적용하여 분포 파라미터 (distribution parameter; $\alpha$)를 구하여 고찰하였다. ZB계의 입계 안정성은 온도에 따라 불안정해 졌지만, ZBM계는 안정하였다.

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