Instantaneous Mutual Information and Eigen-Channels in MIMO Mobile Rayleigh Fading

In this paper, we study two important metrics in multiple-input multiple-output (MIMO) time-varying Rayleigh flat fading channels. One is the eigen-channel, and the other is the instantaneous mutual information (IMI). Their second-order statistics, such as the correlation coefficient, level crossing...

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Bibliographic Details
Published in:IEEE transactions on information theory 2012-01, Vol.58 (1), p.353-368
Main Authors: Shuangquan Wang, Abdi, A.
Format: Article
Language:English
Subjects:
Accuracy
Applied sciences
Approximation
Approximation methods
Autocorrelation function
average fade/outage duration
Channels
Computer simulation
Correlation
Correlation analysis
correlation coefficient
Correlation coefficients
eigen-channels
Eigenvalues and eigenfunctions
Exact sciences and technology
Fading
Information theory
Information, signal and communications theory
instantaneous mutual information
Joints
level crossing rate
Mathematical analysis
MIMO
Monte Carlo methods
Monte Carlo simulation
multiple-input multiple-output (MIMO)
Scattering
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
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Summary:In this paper, we study two important metrics in multiple-input multiple-output (MIMO) time-varying Rayleigh flat fading channels. One is the eigen-channel, and the other is the instantaneous mutual information (IMI). Their second-order statistics, such as the correlation coefficient, level crossing rate (LCR), and average fade/outage duration, are investigated, assuming a general nonisotropic scattering environment. Exact closed-form expressions are derived and Monte Carlo simulations are provided to verify the accuracy of the analytical results. For the eigen-channels, we found they tend to be spatio-temporally uncorrelated in large MIMO systems. For the IMI, the results show that its correlation coefficient can be well approximated by the squared amplitude of the correlation coefficient of the channel, under certain conditions. Moreover, we also found the LCR of IMI is much more sensitive to the scattering environment than that of each eigen-channel.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2011.2171519