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Capacity of MIMO systems with semicorrelated flat fading

Capacity of MIMO systems with semicorrelated flat fading,10.1109/TIT.2003.817472,IEEE Transactions on Information Theory,Peter J. Smith,Sumit Roy,Mans

Capacity of MIMO systems with semicorrelated flat fading   (Citations: 128)
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The primary contribution of this work lies in the derivation of the exact characteristic function (and hence, the mean and variance) of the capacity of multiple-input multiple-output (MIMO) systems for semi-cor- related flat-fading channels. A Gaussian approximation to the exact ca- pacity results is suggested and evaluated for its accuracy. We show that over a range of correlation levels this approximation is adequate even for moderate numbers of transmit and receive antennas.
Journal: IEEE Transactions on Information Theory - TIT , vol. 49, no. 10, pp. 2781-2788, 2003
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    • ...An exact computable formula of the characteristic function has been derived for this type of channel in [11] and the equivalence of the MI with a Gaussian RV has been suggested for a large number of antennas but has only been shown numerically...
    • ...In comparison with the work in [11], we prove the Gaussian behavior of the MI and provide an accurate closed-form approximation of the MI MGF that can be used for any configuration of rows and columns of the channel matrix...
    • ...Whereas the case where the number of rows is greater than the number of columns has not been tackled by the analysis in [11]...
    • ...is a 1 × �� vector with all its elements equal to one, then (2) is the expression of the MIMO semicorrelated Rayleigh fading MI [11]...
    • ...Especially, in the case where �� �� >�� �� , which cannot be evaluated with the computable formula in [11] and is likely to happen in the DMIMO uplink...

    Fabien Heliotet al. An Accurate Closed-Form Approximation of the Distributed MIMO Outage P...

    • ...Telatar [13], Smith and McKay et al. [14], [15 ]h ave suggested that the link capacity over Rayleigh fading channels can be modeled by a Gaussian distribution with surprisingly high accuracy...
    • ...Smith and McKay et al. [14], [15] have revealed that link capacity �� in a Rayleigh fading channel can be modeled by a normal distribution with extreme high accuracy, with average and variance determined by...
    • ...To summarize, we use the convergenceproperty of PFS throughputand results from stochastic approximation, together with the Gaussian rate model for fading channels [14], [15], to derive analytic expressions for PFS and CBPFS throughputs in Rayleigh fading environments...
    • ...By modeling the capacity of a Rayleigh fading link with a normal distribution [14], [15], Theorem 1 provides an analytic expression for the PFS throughput over Rayleigh fading channels...
    • ...According to [14], [15], data rate �� over Rayleigh fading channels can be modeled by a normal distribution with high accuracy...

    Erwu Liuet al. Clique-Based Utility Maximization in Wireless Mesh Networks

    • ...By using the Gaussian approximation [18], [19] for capacity modeling, we derive a novel mathematical tool to quickly estimate the PFS throughputin Rayleigh fading environments...
    • ...Researchers [18], [19], [25], [26] have revealed that �� can be modeled by a normal distribution in various fading scenarios...
    • ...Researchers have revealed that the Gaussian approximation holds for various scenarios such as Rayleigh flat fading [19], Rayleigh frequency-selective fading [26], Rayleigh semicorrelated flat fading [18], [25], and Rician fading [18] etc...
    • ...Researchers have revealed that the Gaussian approximation holds for various scenarios such as Rayleigh flat fading [19], Rayleigh frequency-selective fading [26], Rayleigh semicorrelated flat fading [18], [25], and Rician fading [18] etc...

    Erwu Liuet al. Asymptotic Analysis of Proportionally Fair Scheduling in Rayleigh Fadi...

    • ...Smith et al. derived an exact expression for the characteristic function of the capacity; however, the result is very complex to be used for capacity derivation [4]...

    P. Wijesingheet al. Transition Matrix Monte Carlo technique for outage probability estimat...

    • ...The eigenvalues distribution has been studied for the two possible cases and in [6] and [7], assuming a covariance matrix with distinct eigenvalues (i.e., unit multiplicity)...
    • ...Note that this case has been analyzed also in [7] by following a different approach...
    • ...Hence, in (40) we evaluate where is obtained by adding zero eigenvalues to [7]...

    Marco Chianiet al. MIMO networks: the effects of interference

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