• 한국전자파학회논문지
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• 제18권6호
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• pp.680-688
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• 2007

본 논문에서는 무손실을 가정한 다중 전송 선로에서 전압, 전류로 결합되어 나타나는 텔레그래프(telegrapher) 방정식의 시간 영역 Closed-form 해석해를 EP(Explicit Propagator) 방법을 이용하여 구하였다. 전송 선로에서 전압과 전류를 정확하게 얻기 위한 시간 영역의 표현식을 얻었으며, 본 논문의 결과를 검증하기 위하여 대칭 결합스트립 선로, 선형 테이퍼 형태의 비균일 결합 스트립 선로 그리고 삼중 비대칭 스트립 선로에 대한 과도 응답 특성을 구하고 상용 소프트웨어 결과와 비교하였다. 본 논문에서 개발된 시간 영역의 수치 해석 방법은 균일, 비균일 또는 대칭, 비대칭 스트립 선로의 시간 영역 파형에 대해 매우 정확한 결과를 보여주며, 다양한 결합 선로의 해석에 유용하게 사용할 수 있다.

• ETRI Journal
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• 제31권5호
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• pp.518-524
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• 2009

Single parity check (SPC) product codes are simple yet powerful codes that are used to correct errors and/or recover erasures. The focus of this paper is to evaluate the performance of such codes under erasure scenarios and to develop a closed-form tight upper bound for the post-decoding erasure rate. Closed-form exact expressions are derived for up to seven erasures. Previously published closed-form bounds assumed that all unrecoverable patterns should contain four erasures in a square. Additional non-square patterns are accounted for in the proposed expressions. The derived expressions are verified using exhaustive search. Eight or more erasures are accounted for by using a bound. The developed expressions improve the evaluation of the recoverability of SPC product codes without the need for simulation or search algorithms, whether exhaustive or novel.

• 대한산업공학회지
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• 제17권2호
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• pp.87-95
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• 1991

The exact solution of the closed queueing networks(CQN) is known only for the product form (BCMP) queueing networks. Various computational algorithms are available to derive system throughput(the rate at which a system completes units of computational work) of the networks. However, the computational expense of an exact solution is often excessive when there are multiple classes of cutomers. Instead of computing the exact values, it may be sufficient to derive bounds on the performance measures. Techniques for obtaining bounds on BCMP queueing networks have appeared in the past years. This paper also presents bounds on throughput in CQN models with multiple classes of customers.

• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.505-512
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• 2017

In this paper, we explain how the exact closed-form solutions of the classical problems of viscous fluid flow over a heated stretching plate and shrinking sheet can be obtained by a reliable method.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1994년도 추계학술대회 논문집
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• pp.713-718
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• 1994

Voronoi diagrams for closed shapes have many practical applications, ranging from numerical control machining to mesh generation. Shape offset based on Voronoi diagram avoids the topological problems encountered in traditional offsetting algorithms. In this paper, we propose a procedure for generating a Voronoi diagram and an exact offset for planar curve. A planer curve can be defined by free-form curve segements. The procedure consists of three steps : 1) segmentation by minimum curvature, 2) construction of Voronoi diagram, and 2) generation of the exact offset.

• Structural Engineering and Mechanics
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• 제30권3호
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• pp.279-296
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• 2008

This paper presents an exact integration for the hypersingular boundary integral equation of two-dimensional elastostatics. The boundary is discretized by straight segments and the physical variables are approximated by discontinuous quadratic elements. The integral for the hypersingular boundary integral equation analysis is given in a closed form. It is proven that using the exact integration for discontinuous boundary element, the singular integral in the Cauchy Principal Value and the hypersingular integral in the Hadamard Finite Part can be obtained straightforward without special treatment. Two numerical examples are implemented to verify the correctness of the derived exact integration.

• 한국통신학회논문지
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• 제40권12호
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• pp.2317-2323
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• 2015

본 논문에서는, 증폭 후 재전송하는 부분 릴레이 선택 방식의 듀얼홉 릴레이 시스템에 대한 성능을 분석한다. 증폭 후 재전송하는 릴레이 이득은 채널과 잡음을 동시에 고려한 이득이다. 수신 SNR 모델을 이용하여 닫힌형태의 end-to-end SNR 확률밀도함수와 누적분포함수를 유도한다. 또한, 부분 릴레이 선택 방식을 갖는 듀얼홉 릴레이 시스템의 정확한 닫힌 형태의 채널 용량을 분석한다. 마지막으로 본 논문의 이론적인 분석은 Monte-Carlo 시험을 통하여 검증한다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권11호
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• pp.5410-5426
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• 2019

With the advent of the fifth-generation (5G) era, Massive multiple-input multiple-output (MIMO) relay systems have experienced the rapid development. Recently, the performance analysis models of Massive MIMO relay systems have been proposed, which are mostly based on Rayleigh fading channels. In order to create a more suitable model for 5G Internet of Things scenarios, our study is based on the Rician fading channels, where line-of-sight (LOS) path exists in the channels. In this paper, we assume the channel state information (CSI) is perfect. In this case, we use statistical information to derive the analytical exact closed-form expression for the achievable sum rate of the uplink for the Massive MIMO two-hop relay system over Rician fading channels. Moreover, considering the different communication scenarios, we derive the analytical exact closed-form expression for the achievable sum rates of the uplink for other three scenarios. Finally, based on these expressions, we make simulations and analyze the performance under different transmit powers and Rician-factors, which provides a theoretical basis and reference for further research.

• 한국통신학회논문지
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• 제28권6C호
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• pp.561-569
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• 2003

본 논문에서는 Alamouti［1］, Tarokh［14］, Xia［11］에 의해 도입된 직교 시공간 부호를 포함한 임의의 선형 직교 시공간 블록 부호에 대해, 느린 레일라이 페이딩 채널(slow Rayleigh fading channel)의 쌍간 오율(pairwise error probability)의 정확한 표현이 2개의 전송된 부호어 행렬(codeword matrices) 사이의 부호어 심볼 거리(codeword symbol distance)가 아니라, 2개의 메시지 벡터(messgae vector) 사이의 메시지 심볼 거리(message symbol distance)의 식으로 유도된다. 1차원 성분의 심볼 오율을 이용하여, 선형 직교 시공간 부호의 심볼 오율의 정확한 폐형의 표현이 QPSK, 16-QAM, 64-QAM과 256-QAM에 대해 유도된다.

• Steel and Composite Structures
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• 제38권5호
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• pp.583-597
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• 2021

This article develops a nonclassical model to analyze bending response of squared perforated microbeams considering the coupled effect of microstructure and surface stress under different loading and boundary conditions, those are not be studied before. The corresponding material and geometrical characteristics of regularly squared perforated beams relative to fully filled beam are obtained analytically. The modified couple stress and the modified Gurtin-Murdoch surface elasticity models are adopted to incorporate the microstructure as well as the surface energy effects. The differential equations of equilibrium including the Poisson's effect are derived based on minimum potential energy. Exact closed form solution is obtained for bending behavior of the proposed model considering the classical and nonclassical boundary conditions for both uniformly distributed and concentrated loads. The proposed model is verified with results available in the literature. Influences of the microstructure length scale parameter, surface energy, beam thickness, boundary and loading conditions on the bending behavior of perforated microbeams are investigated. It is observed that microstructure and surface parameters are vital in investigation of the bending behavior of perforated microbeams. The obtained results are supportive for the design, analysis and manufacturing of perforated nanobeams that commonly used in nanoactuators, nanoswitches, MEMS and NEMS systems.