• 한국통신학회논문지
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• 제30권7A호
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• pp.628-638
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• 2005

The analysis of maximum diversity order and coding gain for multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems over time-and frequency-selective (or doubly-selective) channels is addressed in this paper. A novel channel time-space correlation function is developed given the spatially correlated doubly-selective Rayleigh fading channel model. Based on this channel-model assumption, the upper-bound of pairwise error probability (PEP) for MIMO-OFDM systems is derived under the maximum likelihood (ML) detection. For a certain space-frequency code, we quantify the maximum diversity order and deduce the expression of coding gain. In this wort the impact of channel time selectivity is especially studied and a new definition of time diversity is illustrated correspondingly

• Journal of Communications and Networks
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• 제5권2호
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• pp.104-115
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• 2003

It is well known that Multiple Input Multiple Output (MIMO) systems offer the promise of achieving very high spectrum efficiencies (many tens of bit/s/Hz) in a mobile environment. The gains in MIMO capacity are sensitive to the presence of spatial and temporal correlation introduced by the radio environment. In this paper, we examine how MIMO capacity is influenced by a number of factors e.g., a) temporal correlation b) various combinations of low/high spatial correlations at either end, c) combined spatial and temporal correlations. In all cases, we compare the channel capacity that would be achievable under independent fading. We investigate the behaviour of "capacity fades," examine how often the capacity experiences the fades, develop a method to determine level crossing rates and average fade durations and relate these to antenna numbers. We also evaluate the influence of channel correlation on the capacity autocorrelation and assess the fit of a Gaussian random process to the temporal capacity sequence. Finally we note that the particular spatial correlation structure of the MIMO channel is influenced by a large number of factors. For simplicity, it is desirable to use a single overall correlation measure which parameterizes the effect of correlation on capacity. We verify this single parameter concept by simulating a large number of different spatially correlated channels.

• Journal of Communications and Networks
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• 제7권4호
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• pp.450-461
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• 2005

In this paper, we derive analytical expressions for the exact pairwise error probability (PEP) of a space-time coded system operating over spatially correlated fast (constant over the duration of a symbol) and slow (constant over the length of a code word) fad­ing channels using a moment-generating function-based approach. We discuss two analytical techniques that can be used to evaluate the exact-PEPs (and therefore, approximate the average bit error probability (BEP)) in closed form. These analytical expressions are more realistic than previously published PEP expressions as they fully account for antenna spacing, antenna geometries (uniform linear array, uniform grid array, uniform circular array, etc.) and scattering models (uniform, Gaussian, Laplacian, Von-mises, etc.). Inclusion of spatial information in these expressions provides valuable insights into the physical factors determining the performance of a space-time code. Using these new PEP expressions, we investigate the effect of antenna spacing, antenna geometries and azimuth power distribution parameters (angle of arrival/departure and angular spread) on the performance of a four-state QPSK space-time trellis code proposed by Tarokh et al. for two transmit antennas.

• 한국지반환경공학회 논문집
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• 제10권1호
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• pp.5-14
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• 2009

본 연구에서는 유효수직응력의 영향을 받고 있으며, 공간적으로 상관된 간극분포를 포함하고 있는 단일 균열 내에서의 용질이동에 대한 공간적 거동을 수치적으로 분석하였다. 분석결과 단일 균열에서의 용질이동은 간극분포의 공간적 상관정도와 적용된 유효수직응력에 크게 영향을 받는 것으로 나타났다. 공간적 상관길이가 증가함에 따라 용질입자의 평균이동시간은 감소하였으며, 또한 용질이동에 대한 굴곡도와 Peclet 수(유체흐름에 의한 용질의 이송율과 분자확산율과의 관계를 나타내는 무차원 수)가 감소하는 경향을 나타내었다. 이는 공간적 상관길이가 증가할수록 단일 균열 내의 간극분포가 용질입자의 이동에 유리하다는 것을 의미한다. 그러나 유효수직응력이 증가할수록 용질입자의 평균이동시간과 굴곡도는 증가하는 경향을 나타냈으며, Peclet 수는 감소하는 경향을 나타냈다. 이는 유효수직응력이 증가할수록 접촉면의 증가로 인해 한 두 개의 상대적으로 큰 국부유량을 가지는 유로를 따라 이동하기 때문인 것으로 판단된다. 또한 본 연구에서 용질이동에 대한 모의된 결과에 근거하여 공간적 상관길이에 따른 유효수직응력과 용질의 평균이동시간과의 관계를 나타내는 지수형태의 상관식을 제안하였다.