• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2003년도 춘계학술대회 논문집
• /
• pp.434-437
• /
• 2003

Evaluation or the patterning accuracy of e-beam lithography machines requires a high precision inspection system that is capable of measuring the true xy-locations of fiducial marks generated by the e-beam machine under test. Fiducial marks are fabricated on a single photo mask over the entire working area in the form of equally spaced two-dimensional grids. In performing the evaluation, the principles of self-calibration enable to determine the deviations of fiducial marks from their nominal xy-locations precisely, not being affected by the motion errors of the inspection system itself. It is. however, the fact that only repeatable motion errors can be eliminated, while random motion errors encountered in probing the locations of fiducial marks are not removed. Even worse, a random error occurring from the measurement of a single mark propagates and affects in determining locations of other marks, which phenomenon in fact limits the ultimate calibration accuracy of e-beam machines. In this paper, we describe an uncertainty analysis that has been made to investigate how random errors affect the final result of self-calibration of e-beam machines when one uses an optical inspection system equipped with high-resolution microscope objectives and a precision xy-stages. The guide of uncertainty analysis recommended by the International Organization for Standardization is faithfully followed along with necessary sensitivity analysis. The uncertainty analysis reveals that among the dominant components of the patterning accuracy of e-beam lithography, the rotationally symmetrical component is most significantly affected by random errors, whose propagation becomes more severe in a cascading manner as the number of fiducial marks increases

• 대한수학회논문집
• /
• 제26권1호
• /
• pp.23-35
• /
• 2011

In the present work we construct a composite implicit random iterative process with errors for a finite family of asymptotically nonexpansive random operators and discuss a necessary and sufficient condition for the convergence of this process in an arbitrary real Banach space. It is also proved that this process converges to the common random fixed point of the finite family of asymptotically nonexpansive random operators in the setting of uniformly convex Banach spaces. The present work also generalizes a recently established result in Banach spaces.

• Communications for Statistical Applications and Methods
• /
• 제8권3호
• /
• pp.603-613
• /
• 2001

A test based on score statistic is derived for detecting homoscedasticity of errors in unbalanced random effects linear model. A small simulation study is performed to investigate the finite sample behaviour of the test statistic which is known to have an asymptotic chi-square distribution under the null hypothesis.

• Journal of Communications and Networks
• /
• 제8권1호
• /
• pp.21-27
• /
• 2006

We present and analyze a class of limited sensing random access algorithms with powerful properties. The algorithms are implementable in wireless mobile environments and their operational properties are simple. Their throughput in the worst case of the limit Poisson user model is 0.4297, while this throughput degrades gracefully in the presence of channel feedback errors.

• 융합신호처리학회 학술대회논문집
• /
• 한국신호처리시스템학회 2000년도 추계종합학술대회논문집
• /
• pp.85-88
• /
• 2000

Signal splitting and perfect reconstruction in subband coding is based on the assumption that quantization errors are negligible. But if subband signal is quantized, 4 types of errors occurs thus it is not impossible to do perfect reconstruction. These errors are QMF design error, aliasing error, signal error and random error. By using the QMF for subband splitting, the QMF error does not present. and by using the Lloyd-Max quantizer for the quantization and by using an appropriate synthesis filter, all signal dependent errors can be cancelled and the remaining error is random error which is uncorrelated with the original image〔1〕. In this thesis, Lenna and Camera-Man image are devided into 10 subbands by using the D4 and D20 wavelet And the subband signals are quantized by using the Lloyd-Max quantizer and the quantization errors are compared. and evaluated.

• 한국정보전자통신기술학회논문지
• /
• 제15권4호
• /
• pp.230-236
• /
• 2022

본 논문에서는 확산기반 분자통신 채널에서 랜덤오류와 ISI에 의한 오류 모두에 효율적인 직렬연결 부호를 제안하였다. ISI 제거를 위해 설계된 ISI 완화 부호와 랜덤오류에 강한 ISI 해밍부호를 결합하여 직렬연결 부호를 구성하였으며, 시뮬레이션을 통해 오율 성능을 분석하였다. 방사 분자수 M=1,200 이상인 채널 환경의 경우 직렬연결 부호의 오율 성능은 ISI에 강한 ISI 완화부호의 오율 성능을 따라가며, M=600 이하의 채널 환경에서는 랜덤오류에 강한 ISI 해밍부호의 오율 성능을 따라가고 있음을 알 수 있다. M=600~1,200의 구간에서 직렬연결 부호는 가장 우수한 오율 성능을 보여주는데 이는 랜덤오류와 ISI에 의한 오류가 병존하는 구간에서 두 오류 모두를 정정할 수 있기 때문인 것으로 분석된다. M=800 이하의 경우 직렬연결 부호와 ISI 완화부호의 오율은 평균적으로 약 1.0×10^-1 의 오율 격차를 보여줌을 알 수 있었다.

• 대한수학교육학회지:학교수학
• /
• 제17권2호
• /
• pp.241-255
• /
• 2015

본 연구는 35명의 예비교사와 현직교사를 대상으로 몬테카를로 시뮬레이션의 난수 생성 아이디어에 관한 이해를 분석하여 학교현장에 교육적 함의를 제공하는데 그 목적이 있다. 연구의 분석 결과, 실험 대상의 70%가 확률 문제 해결을 위해 제시된 세 가지 유형의 난수 생성 아이디어에서 적절한 아이디어를 선택하지 못했고, 자신의 선택을 설명하는 과정에서 오류를 나타냈다. 오류 유형으로는 첫째, 연속확률분포에서 한 점 또는 경계가 선택될 확률은 확률밀도함수에 대입한 값과 같다. 둘째, 교사B의 아이디어는 조건부확률로 문제를 변형하여 표본공간을 확장한 것임에도 처음 제시된 표본공간으로만 문제를 해석하려는 오류를 나타냈다. 셋째, 두 확률변수 X, Y가 독립일 때에만 $P(X=x,\;Y=y)=p(X=x){\times}P(Y=y{\mid}X=x)$이 성립한다는 오류를 나타냈다.

• 대한원격탐사학회:학술대회논문집
• /
• 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume I
• /
• pp.446-449
• /
• 2006

It is backscattering of solar radiation by water body that makes ocean color observable from above, either by airplanes or satellites. Given the very low direct contribution to backscattering by phytoplankton cells, it is curious why the retrieval of phytoplankton concentration from remotely observed ocean color is evidently successful. From semianalytical bio-optical models, a dataset is created of spectral absorption, scattering and backscattering coefficients as a function of chlorophyll concentration. Four scenarios are considered, 1) only molecular and no particle scattering, 2) random particle backscattering uncorrelated with chlorophyll concentration, 3) constrained random particle scattering with known backscattering ratio, and 4) constrained random scattering with random backscattering ratio. Scenario 1 only introduces moderate errors of -20% - 90%. And for scenarios 3 and 4, the errors are largely within 30% and 100%. Scenario 2 introduces the largest errors, with the retrieved chlorophyll concentration virtually uncorrelated with the true values, implying the backscattering must somehow be related to the trophic state. The results of the study suggested These 3 cases confirmed that while it is the absorption by phytoplankton that in large part decides the accuracy of chlorophyll concentration retrieval, for the success of monitoring of global ocean primary productivity we have to improve our knowledge on particle backscattering.

• Journal of the Korean Statistical Society
• /
• 제28권2호
• /
• pp.225-234
• /
• 1999

We consider the following semi-parametric non-linear mixed effect regression model : y\ulcorner=f($\chi$\ulcorner;$\beta$)+$\sigma$$\mu$($\chi$\ulcorner)+$\sigma$$\varepsilon$\ulcorner,i=1,…,n,y*=f($\chi$;$\beta$)+$\sigma$$\mu$($\chi$) where y'=(y\ulcorner,…,y\ulcorner) is a vector of n observations, y* is an unobserved new random variable of interest, f($\chi$;$\beta$) represents fixed effect of known functional form containing unknown parameter vector $\beta$\ulcorner=($\beta$$_1$,…,$\beta$\ulcorner), $\mu$($\chi$) is a random function of mean zero and the known covariance function r(.,.), $\varepsilon$'=($\varepsilon$$_1$,…,$\varepsilon$\ulcorner) is the set of uncorrelated measurement errors with zero mean and unit variance and $\sigma$ is an unknown dispersion(scale) parameter. On the basis of finite-sample, small-dispersion asymptotic framework, we derive an absolute lower bound for the asymptotic mean squared errors of prediction(AMSEP) of the regular-consistent non-linear predictors of the new random variable of interest y*. Then we construct an optimal predictor of y* which attains the lower bound irrespective of types of distributions of random effect $\mu$(.) and measurement errors $\varepsilon$.

• 대한전자공학회논문지
• /
• 제22권5호
• /
• pp.24-28
• /
• 1985

본 논문에서는 random 및 burst 에러를 동시에 정정할 수 있는 순환 곱셈 로드를 실현하였다. 우선 두 코드의 곱을 실현하는 방법을 제시하였고, (7, 4)순환 Hamming 코드와 (3,1)순환 꼬드를 이용하여 실제로 하드웨어를 구현하였다. 시스템은 인코더와 디코더 그리고 인터줴이스 회로로 구성하였고 마이크로 컴퓨터를 이용하여 실험을 하였다. 인코더는 각 부 코드의 인로더에 지연 소자만 넣어 실현하였고, 디로더는 가장 간단한 디로딩 방식인 에러 trapping 디코더를 cascade 연결하여 실현하였다. 본 연구의 결과로서 이 순환 곱셈 코드는 디로딩이 쉽고, 4개의 random 에러와 burst 길이 8인 에러를 정정할 수 있으며, 성능은 일반 순환 코드보다 102∼103 정도 좋음을 알 수 있었다.