The asymptotic capacity of multiple-antenna Rayleigh-fading channels

We consider the asymptotic behavior of the capacity of multiple-antenna Rayleigh-fading channels in the limit as the transmit and receive arrays become large. We show that the capacity converges in distribution to a Gaussian random variable, and give closed-form formulas for its mean and variance. T...

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Bibliographic Details
Published in:IEEE transactions on information theory 2005-12, Vol.51 (12), p.4325-4333
Main Authors: Kamath, M.A., Hughes, B.L.
Format: Article
Language:English
Subjects:
Antennas
Applied sciences
Arrays
Asymptotic properties
Capacity
Capacity planning
Channels
Coding, codes
Communication channels
Estimates
Exact sciences and technology
Exact solutions
Fading
fading channels
Gallium nitride
Gaussian
Information systems
Information, signal and communications theory
Mathematical analysis
Multipath channels
multiple-antenna communication
Mutual information
random matrix theory
Random variables
Rayleigh channels
Receiving antennas
Signal and communications theory
Simulation
space-time coding
Telecommunications and information theory
Transmitters
Transmitting antennas
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Summary:We consider the asymptotic behavior of the capacity of multiple-antenna Rayleigh-fading channels in the limit as the transmit and receive arrays become large. We show that the capacity converges in distribution to a Gaussian random variable, and give closed-form formulas for its mean and variance. These results enable us to derive the first asymptotic formula for outage rates, as well as a sharper estimate of the error in previously reported asymptotic formulas for ergodic capacity. Although these formulas are asymptotic, we show by simulation that they are often quite accurate, even for relatively small arrays.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2005.858966