From Multi-Keyholes to Measure of Correlation and Power Imbalance in MIMO Channels: Outage Capacity Analysis
George Levin, Sergey Loyka

TL;DR
This paper analyzes multi-keyhole MIMO channels, deriving asymptotic outage capacity results, introducing a simple correlation measure, and proving Telatar's conjecture, with implications for relay channels.
Contribution
It provides asymptotic analysis of multi-keyhole MIMO channels, introduces a new scalar measure of correlation and power imbalance, and proves Telatar's conjecture for certain channels.
Findings
Outage capacities are asymptotically equal to Rayleigh channels in large systems.
Instantaneous capacity is asymptotically Gaussian with closed-form mean and variance.
A simple measure of correlation and power imbalance effectively quantifies their impact.
Abstract
An information-theoretic analysis of a multi-keyhole channel, which includes a number of statistically independent keyholes with possibly different correlation matrices, is given. When the number of keyholes or/and the number of Tx/Rx antennas is large, there is an equivalent Rayleigh-fading channel such that the outage capacities of both channels are asymptotically equal. In the case of a large number of antennas and for a broad class of fading distributions, the instantaneous capacity is shown to be asymptotically Gaussian in distribution, and compact, closed-form expressions for the mean and variance are given. Motivated by the asymptotic analysis, a simple, full-ordering scalar measure of spatial correlation and power imbalance in MIMO channels is introduced, which quantifies the negative impact of these two factors on the outage capacity in a simple and well-tractable way. It does…
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