• 대한수학회논문집
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• 제16권4호
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• pp.691-701
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• 2001

We computed zero mean Gaussian of average error bounds pf Simpsons quadrature with convariances in [2]. In this paper, we compute zero mean Gaussian of average error bounds between Simpsons quadrature and composite Simpsons quadra-ture on four consecutive subintervals. The reason why we compute these on subintervals is because these results enable us to compute a posteriori error bounds on the whole interval in the later paper.

• 대한수학회지
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• 제34권2호
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• pp.293-307
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• 1997

In this paper we present the $L^2$-estimation for the kernel $K_n$ of the remaider term for the Gaussian quadrature with respect to one of four Chebyshev weight functions and the error bound of the type on the contour $$ $\mid$R_n(f)$\mid$ \leq \frac{2\pi}{\sqrt{l(\Gamma)}} max_{z\in\Gamma}$\mid$f(z)$\mid$ (\smallint_\Gamma $\mid$K_n(z)$\mid$^2$\mid$dz$\mid$)^\frac{2}{1}, $$ where $l(\Gamma)$ denotes the length of the contour $\Gamma$.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2009년도 춘계 학술발표회
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• pp.188-194
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• 2009

Consolidation settlement, a crucial parameter in geotechnical design of soft ground, has not been computed in a unique way due to different computation methods in practice. To improve computational error in calculating consolidation settlement, a number of researches has been attempted. Conventional 1-dimensional consolidation theory assumes the center of the clay layer as the representative point to obtain effective stress in calculation, which could resort to erroneous results. To calculate exact solutions considering initial distribution of effective stress, diving a stratum into multi-layers could resort to wasting time and effort. In the study, a novel methodology for calculating consolidation settlement via Guassian quadrature is developed. The method generally is capable of computing settlements in any case of the stress conditions encountered in fields.

• 한국통신학회논문지
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• 제9권1호
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• pp.18-24
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• 1984

이온충 신틸레이션 채널(transionospheric scintillation channel)에서 PSK通信시스템의 誤率을 가우스 쿼드러처積分(Gauss quadrature integration)公式의 方法을 利用하여 계산하였다. 使用한 채널 모델은 Rino의 모델로 交信信號의 포락선이 相關가우스 랜덤 과정으로 천천히 변하는 페이딩 채널이다. 신틸레이션 채널에 대한 誤率은 UHF帶의 傳送에서 실제 이온중 신틸레이션 데이터를 使用하여 계산하였다.

• Structural Engineering and Mechanics
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• 제3권2호
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• pp.135-144
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• 1995

Since structural systems may fail in any one of several failure modes, computation of system reliability is always difficult. A method using numerical quadrature for computing structural system reliability with either one or more than one failure mode is presented in this paper. Statistically correlated safety margin equations are transformed into a group of uncorrelated variables and the joint density function of these uncorrelated variables can be generated by using the Maximum Entropy Method. Structural system reliability is then obtained by integrating the joint density function with the transformed safety domain enclosed within a set of linear equations. The Gaussian numerical integration method is introduced in order to improve computational accuracy. This method can be used to evaluate structural system reliability for Gaussian or non-Gaussian variables with either linear or nonlinear safety boundaries. It is also valid for implicit safety margins such as computer programs. Both the theory and the examples show that this method is simple in concept and easy to implement.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 ITC-CSCC -1
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• pp.517-520
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• 2000

This paper deals with the statistical analysis of an autocalibration procedure for the gain and phase imbalances between the in-phase (I) and quadrature (Q) components in quadrature receivers. In real implementation, the imbalances of the gain and phase exist and degrade the performance of the receiver. In this paper we investigate the statistical characteristic of the estimates in an on-line imbalance estimation method for the receiver under the assumption of an additive white Gaussian noise environment.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권8호
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• pp.3585-3601
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• 2016

The error rate performance of circularly distributed antenna system is studied over Nakagami-m fading channels, where a dual-channel receiver is employed for the quadrature phase shift keying signals detection. To mitigate the Co-Channel Interference (CCI) caused by the adjacent cells and to save the transmit power, this work presents remote antenna unit selection transmission based on the best channel quality and the maximized path-loss, respectively. The commonly used Gaussian and Q-function approximation method in which the CCI and the noise are assumed to be Gaussian distributed fails to depict the precise system performance according to the central limit theory. To this end, this work treats the CCI as a random variable with random variance. Since the in-phase and the quadrature components of the CCI are correlated over Nakagami-m fading channels, the dependency between the in-phase and the quadrature components is also considered for the error rate analysis. For the special case of Rayleigh fading in which the dependency between the in-phase and the quadrature components can be ignored, the closed-form error rate expressions are derived. Numerical results validate the accuracy of the theoretical analysis, and a comparison among different transmission schemes is also performed.

• 대한수학회논문집
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• 제4권1호
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• pp.161-166
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• 1989

• 대한수학회논문집
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• 제8권3호
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• pp.545-554
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• 1993

• 한국통신학회논문지
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• 제13권4호
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• pp.285-301
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• 1988

다치 직교 PRS(Partial Response Signaling) 시스템이 잡음, 간섭, 캐리어옵\ulcornerV, 위상지터, 페이딩 등에 의해 개별적으로 또는 복합적으로 영향을 받았을 경우에 대한 PRS 신호의 오율식을 유도하였다. 유도된 식에 의해 반송파 대잡음 전력비, 반송파 대 간섭파 전력비, 위상에러, 임펄스 지수, 가우스성 잡음전력 대 임펄스성 잡음 전력비, PLL(Phase Locked Loop)의 신호 대 잡음전력비, 페이딩 지수 등을 함수로 하여 수치계산을 통해 각 경우의 오율특성을 구했다. 얻은 결과로부터, 일반적으로 임펄스성 잡음보다 오율 특성을 보다 더 열화시키지만 일단 신호가 페이딩을 받게되면 그 반대로 가우스성 잡음이 임펄스성 잡음보다 더욱 에러를 발생시킨다는 것을 알 수 있었다.