• 한국지진공학회논문집
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• 제7권4호
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• pp.81-87
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• 2003

본 논문에서는 Shannon의 샘플링 이론을 이용하여 제한된 수의 센서에서 얻은 모드형상으로 정확한 모드형상을 재생성하고, 이렇게 재생성한 모드형상을 이용하여 구조물에 발생한 손상을 탐지할 수 있는지의 가능성에 대해 조사하였다. 우선 시간 영역에서의 Shannon의 샘플링 이론을 검토하였고, 이를 공간영역으로 확대하였다. 공간영역으로 확대한 Shannon의 샘플링 이론은 그 효용성을 확인하기 위하여 단순보의 모드형상을 해석적으로 구한 후 최소한으로 제한된 수의 샘플 데이터로 모드형상을 재생하였고 이를 원래의 모드형상과 비교하였다. 이렇게 하여 얻은 결과를 바탕으로 구조물의 모드형상을 추출하는 동적실험에서 필요한 최적 가속도계의 위치를 구할 수 있는 간단한 관계식을 제안하였다. 제안된 관계식과 공간영역으로 확대한 Shannon의 샘플링 이론의 실용성은 연속 2스팬으로 구성된 실험실 빔 구조물의 손상 전과 후의 모드형상에 적용하여 손상을 탐지함으로써 입증하였다.

• 한국인터넷방송통신학회논문지
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• 제21권3호
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• pp.51-57
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• 2021

본 논문에서는 샤논 정리(1948)의 동기가 되는 아인슈타인 특수상대성이론(1905)과 베르누이 유체역학(1738)의 상관성을 AB=A/A=I Dimension 관점에서 유도했고 샤논 정리 채널코드를 시뮬레이션했다. 베르누이 유체역학 ΔP=pgh를 한라산 화산 Magma 폭발식으로 적용했을 때 Dimension과 높이가 실측치와 일치했다. 아인슈타인 특수상대성이론과 샤논의 정보이론, 그리고 유체역학의 연돌효과(Stack Effect) 이론의 관계를 분석해 보고 화산 폭발의 관계를 수학적으로 증명했다. 아인슈타인, 베르누이의 에너지보존과 질량보존은 샤논 정리에서는 대역폭과 power의 효율면과 같았다.

• 한국인터넷방송통신학회논문지
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• 제17권1호
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• pp.59-68
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• 2017

세상에 꽃고 여자도 아름답지만 오일러 공식과 대칭이 가장 아름답다. 샤논은 무선통신과 정보이론이 뿌리가 되는 샤논 정리를 오일러 정리에 기반해 정보와 통신에 응용했고, 오늘날 Smart Phone의 원리다. 그들의 만난 점은 MIMO(multiple input and multiple output) 다중안테나 다이버시티가 $e^{-SNR}$ 이다. 본 논문에서는 세상에서 가장 아름다운 공식 $e^{{\pi}i}+1=0$를 발견한 오일러와 무선통신과 정보통신을 탄생시킨 $C=Blog_2(1+{\frac{S}{N}})$을 발견한 샤논의 공식을 간단히 유도하고 이 두 거장은 샤논 한계(Shannon limit)에서 만남을 증명하고 숨어있는 비밀이 무엇인가를 밝힌다. 또한 대수학코딩이론(Algebraic coding theory)와 삼각함수 속에 숨겨진 비밀은 대칭(symmetric)과 Element-wise Inverse가 됨을 발견한다.

• Communications for Statistical Applications and Methods
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• 제9권1호
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• pp.241-248
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• 2002

The problem of wavelet density estimation based on Shannon's wavelets is studied when the sample observations are contaminated with random noise. In this paper we will discuss the asymptotic normality for deconvolving wavelet density estimator of the unknown density f(x) when courier transform of random noise has polynomial descent.

• 전기전자학회논문지
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• 제3권2호
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• pp.295-304
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• 1999

본 논문에서는 유한체상에서의 다치논리시스템구성을 그래프이론에 기초를 둔 결정도에 의해 구성하는 방법을 제안하였다. 제안한 방법은 먼저 다치논리 Shannon의 확장전개를 토대로 다치논리결정도를 도출하였으며, 부그래프를 적용하여 함수분할을 수행하였다. 그리고 각종 그래프의 동형관계와 정점의 재순서화를 적용하여 결정도의 변수순서선텍알고리즘과 간략화 알고리즘을 제안하였으며 이로부터 최종 다치논리시스템을 설계하는 방법을 제안하였다.

• 전력전자학회:학술대회논문집
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• 전력전자학회 1998년도 전력전자학술대회 논문집
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• pp.275-278
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• 1998

The mathematical interpretation of a practical sampler which is useful to obtain the small signal models for the peak and average current mode controls is proposed. Due to the difficulties in applying the Shannon's sampling theorem to the analysis of sampling effects embedded in the current mode control, several different approaches have been reported. However, these approaches require the information of the inductor current in a discrete expression, which restricts the application of the reported method only to the peak current mode control. In this paper, the mathematical expressions of sampling effects on a current loop which can directly apply the Shannon's sampling theorem are newly proposed, and applied to the modeling of the peak current mode control. By the newly derived models of a practical sampler, the models in a discrete time domain and a continuous time domain are obtained. It is expected that the derived models are useful for the control loop design of power supplies. The effectiveness of the derived models are verified through the simulation and experimental results.

• Journal of Information Science Theory and Practice
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• 제4권4호
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• pp.64-74
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• 2016

In this paper we define a two parametric new generalized useful average code-word length $L_{\alpha}^{\beta}$(P;U) and its relationship with two parametric new generalized useful information measure $H_{\alpha}^{\beta}$(P;U) has been discussed. The lower and upper bound of $L_{\alpha}^{\beta}$(P;U), in terms of $H_{\alpha}^{\beta}$(P;U) are derived for a discrete noiseless channel. The measures defined in this communication are not only new but some well known measures are the particular cases of our proposed measures that already exist in the literature of useful information theory. The noiseless coding theorems for discrete channel proved in this paper are verified by considering Huffman and Shannon-Fano coding schemes on taking empirical data. Also we study the monotonic behavior of $H_{\alpha}^{\beta}$(P;U) with respect to parameters ${\alpha}$ and ${\beta}$. The important properties of $H_{{\alpha}}^{{\beta}}$(P;U) have also been studied.

• 대한산업공학회지
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• 제24권2호
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• pp.199-209
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• 1998

Consumers turn away their face from a vehicle that doesn't satisfy their sensibility and is designed without consideration of driver's performance. In terms of driver's performance, the manual motor processor carries out the primary interactions between driver and vehicle. Therefore, in this paper, time prediction model is studied that is an important part when drivers manipulate the manual control during driving. Experiments were executed for 20 subjects using two kinds of vehicles and regressed to Fitts' Law. The noise filtering method was suggested for the performance times of manipulating the manual control. Especially, it was shown that Fitts' Law derived by an approximation of Shannon's theorem can predict drivers performance time more appropriately than other methods.

• Coupled systems mechanics
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• 제4권4호
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• pp.279-295
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• 2015

The article presents a theoretical-experimental approach developed for modeling the coefficient of sliding friction in the dynamic system tool-workpiece in slide diamond burnishing of low-alloy unhardened steels. The experimental setup, implemented on conventional lathe, includes a specially designed device, with a straight cantilever beam as body. The beam is simultaneously loaded by bending (from transverse slide friction force) and compression (from longitudinal burnishing force), which is a reason for geometrical nonlinearity. A method, based on the idea of separation of the variables (time and metric) before establishing the differential equation of motion, has been applied for dynamic modeling of the beam elastic curve. Between the longitudinal (burnishing force) and transverse (slide friction force) forces exists a correlation defined by Coulomb's law of sliding friction. On this basis, an analytical relationship between the beam deflection and the sought friction coefficient has been obtained. In order to measure the deflection of the beam, strain gauges connected in a "full bridge" type of circuit are used. A flexible adhesive is selected, which provides an opportunity for dynamic measurements through the constructed measuring system. The signal is proportional to the beam deflection and is fed to the analog input of USB DAQ board, from where the signal enters in a purposely created virtual instrument which is developed by means of Labview. The basic characteristic of the virtual instrument is the ability to record and visualize in a real time the measured deflection. The signal sampling frequency is chosen in accordance with Nyquist-Shannon sampling theorem. In order to obtain a regression model of the friction coefficient with the participation of the diamond burnishing process parameters, an experimental design with 55 experimental points is synthesized. A regression analysis and analysis of variance have been carried out. The influence of the factors on the friction coefficient is established using sections of the hyper-surface of the friction coefficient model with the hyper-planes.