• 대한수학회보
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• 제31권2호
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• pp.289-295
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• 1994

Let (A,G,.alpha.) be a $C^{*}$-dynamical system. In [3] the classical notions of ergodic properties of topological dynamical systems such as topological transitivity, minimality, and uniquely ergodicity are extended and analyzed in the context of non-abelian $C^{*}$-dynamical systems. We showed in [2] that if G is a compact group, then minimality, topological transitivity, uniquely ergodicity, and weakly ergodicity of the $C^{*}$-dynamical system (A,G,.alpha.) are equivalent.alent.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제11권3호
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• pp.29-36
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• 2007

Let T be an ergodic measure preserving transformation on (X, B, ${\mu}$). It is called 2-simple if every 2-fold ergodic joining is either a product measure or an off-diagonal measure. In general, factors of simple maps are not simple. So far, there has been no characterization of the factor of simple maps. In this paper, we give a joining characterization of factors of simple maps.

• 대한수학회지
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• 제35권3호
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• pp.727-740
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• 1998

Controlling traffic lights at a bottleneck, in [5] a time of open passage is called optimal, if it minimizes the first moment of the asymptotic distribution of the queue length. The discussion of the first moment as function of the time of open passage is based on an analysis of the behavior of a fixed point when varying control parameters and delivers theoretical and computational aspects of the traffic problem.

• Journal of Communications and Networks
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• 제10권2호
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• pp.175-185
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• 2008

In this paper, we investigate the effect of cooperative and selection relaying schemes on multiuser diversity in downlink cellular systems with fixed relay stations (RSs). Each mobile station (MS) is either directly connected to a base station (BS) and/or connected to a relay station. We first derive closed-form solutions or upper-bound of the ergodic and outage capacities of four different downlink data relaying schemes: A direct scheme, a relay scheme, a selection scheme, and a cooperative scheme. The selection scheme selects the best access link between the BS and an MS. For all schemes, the capacity of the BS-RS link is assumed to be always larger than that of RS-MS link. Half-duplex channel use and repetition based relaying schemes are assumed for relaying operations. We also analyze the system capacity in a multiuser diversity environment in which a maximum signal-to-noise ratio (SNR) scheduler is used at a base station. The result shows that the selection scheme outperforms the other three schemes in terms of link ergodic capacity, link outage capacity, and system ergodic capacity. Furthermore, our results show that cooperative and selection diversity techniques limit the performance gain that could have been achieved by the multiuser diversity technique.

• 한국해양공학회지
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• 제7권2호
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• pp.114-120
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• 1993

Responses of marine vehicles and ocean structures in a seaway can be predicted by applying the probabilistic approach. When we consider a linear system, the responses in a random seaway can be evaluated through spectral analysis in the frequency domain. But when we treat nonlinear system in irregular waves, it is necessary to get time history of waves. In the previous study we introduced one-directional waves (long crested waves)as wave environment and carried out calculations and experiments in the waves. But the real sea in which marine vehicles and structures are operated has multi-directional waves (short crested waves). It is important to get a simulated random sea and analyse dynamic problems in the sea. We need entire sample function or probabillty density function to infer statistical value of random process. However if the process are ergodic process, we can get statistical values by analysis of one sample function. In this paper, we developed the simulation technique of multi-directional waves and proved that the time history given by this method keep ergodic characteristics by the statistical analysis.

• 한국정보과학회 언어공학연구회:학술대회논문집(한글 및 한국어 정보처리)
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• 한국정보과학회언어공학연구회 2001년도 제13회 한글 및 한국어 정보처리 학술대회
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• pp.57-62
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• 2001

인터넷의 급속한 양적 증가로 인해 색인어 기반의 검색 방식만으로는 원하는 정보를 찾아 내기가 쉽지 않다. 색인어 기반의 검색 방식에서는 색인어로 나타나지 않는 특징을 이용할 수 없으며, 질적으로 균등한 검색 결과를 제시하지 못하기 때문이다. 따라서 사이트의 여러 가지 특성에 따라 계층적으로 분류해놓은 웹 디렉토리를 이용하거나, 관련 전문가들의 추천 리스트를 이용하여 검객하기도 한다. 본 연구에서는 기존의 색인어 기반의 검색 모델에 웹 디렉토리와 추천 문서 같은 문서간의 링크 정보를 결합할 수 있는 정보 검색 모델을 제시한다. 특정 질의어의 검색 결과로 얻어낸 문서와 그 문서와 연결된 문서 집합을 이용하여 네트워크를 구성한다. 이 네트워크에 검색기가 제시하는 순위와 유사도, 그리고 문서간의 링크 정도를 이용해서 확률값을 정해준다. 그리고 Ergodic Markov Model의 특성을 이용하여 색인어 정보와 링크 정보를 결합한다. 본 연구에서는 특정 문서가 질의어에 부합되는 정도를 사용자가 그 문서로 이동할 확률값으로 계산하는 방식을 보인다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권9호
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• pp.2081-2100
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• 2013

In this paper, we propose a cooperative hybrid spectrum sharing protocol by jointly considering interweave (opportunistic) and underlay schemes. In the proposed protocol, secondary users can access the licensed spectrum along with the primary system. Our network scenario comprises a single primary transmitter-receiver (PTx-PRx) pair and a group of M secondary transmitter-receiver (STx-SRx) pairs within the transmission range of the primary system. Secondary transmitters are divided into two groups: active and inactive. A secondary transmitter that gets an opportunity to access the secondary spectrum is called "active". One of the idle or inactive secondary transmitters that achieves the primary request target rate $R_{PT}$ will be selected as a best decode-and-forward (DF) relay (Re) to forward the primary information when the data rate of the direct link between PTx and PRx falls below $R_{PT}$. We investigate the ergodic capacity and outage probability of the primary system with cooperative relaying and outage probability of the secondary system. Our theoretical and simulation results show that both the primary and secondary systems are able to achieve performance improvement in terms of outage probability. It is also shown that ergodic capacity and outage probability improve when the active secondary transmitter is located farther away from the PRx.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권9호
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• pp.4295-4316
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• 2018

In this paper, the performance of non-orthogonal multiple access (NOMA) dual-hop (DH) amplify-and-forward (AF) relaying networks is investigated, where Nakagami-m fading channel is considered. In order to cover more details, in our analysis, the transceiver hardware impairments at source, relay and destination nodes are comprehensively considered. To characterize the effects of hardware impairments brought in NOMA DH AF relaying networks, the analytical closed-form expressions for the exact outage probability and approximate ergodic sum rate are derived. In addition, the asymptotic analysis of the outage probability and ergodic sum rate at high signal-to-noise ratio (SNR) regime are carried out in order to further reveal the insights of the parameters for hardware impairments on the network performance. Simulation results indicate the performance of asymptotic ergodic sum rate are limited by levels of distortion noise.

• Journal of Communications and Networks
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• 제15권4호
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• pp.362-369
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• 2013

The optimal number of users achieving the maximum sum throughput is analyzed in zero-forcing (ZF) based multiuser multiple-input multiple-output (MIMO) systems with a large number of base station (BS) antennas. By utilizing deterministic ergodic sum rates for the ZF-beam forming (ZF-BF) and ZF-receiver (ZF-R) with a large number of BS antennas [1], [2], we can obtain the ergodic sum throughputs for the ZF-BF and ZF-R for the uplink and downlink frame structures, respectively. Then, we can also formulate and solve the optimization problems maximizing the ergodic sum throughputs with respect to the number of users. This paper shows that the approximate downlink sum throughput for the ZF-BF is a concave function and the approximate uplink sum throughput for the ZF-R is also a concave function in a feasible range with respect to the number of users. The simulation results verify the analyses and show that the derived numbers of users provide the maximum sum throughputs for the ZF-BF as well as ZF-R in multiuser MIMO systems with a large number of BS antennas.

• 지질공학
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• 제15권3호
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• pp.245-255
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• 2005

균일한 지하수 유속을 가진 불균질한 등방성 대수층 내에서 정류상태로 흐르는 지하수의 흐름과 함께 이동해가는 비반응성 오염물질에 대한 삼차원 몬테카를로 시뮬레이션이 시행되었다. 로그-정규적으로 분포되어 있는 수리 전도도 K(x)가 임의 장으로 설정되었으며 시뮬레이션 동안에 발생 할 수 있는 불확실성을 감소하기 위해 여러 가지 방법들이 시도되었다. 3,200개 오염 운들에 대한 이차공간적률의 집합적평균 $$lt;S_{ij}'(t',l')$gt;$, 그리고 오염 운중심분산 $$lt;R_{ij}'(t',l')$gt;$이 각기 다른세가지 불균질도 $\omega^2_y1.0,$ 2.5 및 5.0에 대해서 시뮬레이션 되었으며 또한 각기 다른 크기의 평균속도에 수직방향인 선형초기오염원( l=1.5 및 10)에 대해서 입자추적이 행하여 졌다 시뮬레이션된 무차원 종적률들은 일차 근사법에 의한 비에르고딕 이론적 결과와 비교적 잘 일치 하나 시뮬레이션된 무차원 횡적률들은 일차근사법에 의한 이론적 결과들과 잘 일치하지 않으며 특히 불균질도가 큰 대수층에 대해서 그리고 초기 선형오염운의 크기가 작은 무차원 횡이차공간적률에 대해서 뚜렷하게 저평가 했다. 시뮬레이션된 집합적 평균이차적률은 에르고딕 상태에 도달하지 못했으며 일차근사법에 의한 에르고딕 용질 이동에 관한 횡이차공간적률은 시뮬레이션 결과를 저평가 했음을 보인다.