Conference Paper

Characterization of Mutual Information of Spatially Correlated MIMO Channels with Keyhole

Univ. of Stuttgart, Stuttgart
DOI: 10.1109/ICC.2007.128 Conference: Communications, 2007. ICC '07. IEEE International Conference on
Source: DBLP

ABSTRACT We characterize the statistical properties of the mutual information between the transmitter and the receiver of a multiple-input multiple-output (MIMO) communication system in case of spatially correlated Rayleigh-fading keyhole channels with arbitrarily correlated input signals and potentially colored additive Gaussian noise. The probability density function (pdf) as well as the cumulative distribution function (cdf) of the mutual information are derived in a concise mathematical form and we determine exact analytical closed-form expressions for its mean value as well as the corresponding high SNR asymptotics. Numerical results illustrate the impact of several different parameters on the mutual information statistics and are shown to be in perfect agreement with results obtained from Monte-Carlo simulations, thus verifying the accuracy of our theoretical analysis.

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    • "Thus, to cope with the high data rate requirements of new mobile communication systems, the analysis of the dynamic behavior of the channel capacity is inevitable. The statistical characterization of the channel capacity can be done with the help of the mean, variance, PDF, and CDF of the channel capacity [2]. However, these statistics do not provide any insight into the temporal behavior of the channel capacity. "
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    ABSTRACT: This paper deals with the study of the statistical properties of the capacity of Nakagami-lognormal (NLN) channels for various fading environments. Specifically, the impact of shadowing and the severity of fading on the channel capacity is investigated. We have derived analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the channel capacity. These results are analyzed for different levels of shadowing and for various fading conditions, corresponding to different terrestrial environments. It is observed that the severity of fading and shadowing has a significant influence on the spread and the maximum value of the PDF and LCR of the channel capacity. Moreover, it is also observed that if the fading gets less severe as compared to the Rayleigh fading, the mean channel capacity increases. However, the shadowing effect has no impact on the mean channel capacity. The validity of all analytical results is confirmed by simulations.
    Global Telecommunications Conference, 2008. IEEE GLOBECOM 2008. IEEE; 01/2009
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    • "Results for the channel capacity and its statistical properties for Rayleigh-faded MIMO channels can be found in [3], [13], [14]. However, in wireless communication systems it is common to come across such scenarios where fading is more (or less) severe than Rayleigh fading. "
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    ABSTRACT: This paper studies the statistical properties of the channel capacity of spatially correlated Nakagami-m multiple- input multiple-output (MIMO) channels. We have derived closed- form expressions for the probability density function (PDF), the cumulative distribution function (CDF), the level-crossing rate (LCR), and the average duration of fades (ADF) of the lower bound on the channel capacity. In order to study the impact of the spatial correlation on the channel capacity, the analysis of the statistical properties of the channel capacity is carried out for different receiver antenna spacings. It is observed that the antenna spacing has a significant influence on the spread and maximum value of the PDF and LCR. The proposed method can be employed to study the statistical properties of the capacity of MIMO channels in different fading environments. The correctness of the analytical expressions is confirmed by simulations.
    Vehicular Technology Conference, 2008. VTC Spring 2008. IEEE; 06/2008
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    ABSTRACT: We present a comprehensive analysis of the ergodic capacity and information outage probability of multiple-input multiple-output (MIMO) keyhole channels with antenna selection. In this regard, we consider several different scenarios with perfect channel state information (CSI) at the receiver and no, partial or full CSI at the transmitter. For all cases, we derive exact analytical closed-form expressions for the corresponding outage probability and ergodic capacity, where the latter one is always given as a finite sum of weighted Meijer G-functions, which might be easily evaluated numerically using standard mathematical software packages. Furthermore, we derive somewhat simpler upper and lower capacity bounds, which are proven to be asymptotically tight in the high SNR regime. Numerical results are shown to be in perfect agreement with results obtained from Monte Carlo simulations, thus verifying the accuracy of our theoretical analysis. Copyright © 2008 John Wiley & Sons, Ltd.
    European Transactions on Telecommunications 11/2008; 19:813-825. DOI:10.1002/ett.1322 · 1.35 Impact Factor
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