Impact of Spatial Correlation on the Finite-SNR Diversity-Multiplexing Tradeoff
Z. Rezki, David Haccoun, Fran\c{c}ois Gagnon, Wessam Ajib
TL;DR
This paper investigates how spatial correlation affects the finite-SNR diversity-multiplexing tradeoff in multielement antenna channels, providing bounds and estimates that reveal degradation with increased correlation.
Contribution
It introduces a new finite-SNR analysis framework for the DMT considering spatial correlation, including a lower bound on outage probability and an accurate finite-SNR DMT estimate.
Findings
DMT is severely degraded with increased spatial correlation
The derived bounds provide accurate finite-SNR DMT estimates
The framework generalizes known asymptotic DMT results
Abstract
The impact of spatial correlation on the performance limits of multielement antenna (MEA) channels is analyzed in terms of the diversity-multiplexing tradeoff (DMT) at finite signal-to-noise ratio (SNR) values. A lower bound on the outage probability is first derived. Using this bound accurate finite-SNR estimate of the DMT is then derived. This estimate allows to gain insight on the impact of spatial correlation on the DMT at finite SNR. As expected, the DMT is severely degraded as the spatial correlation increases. Moreover, using asymptotic analysis, we show that our framework encompasses well-known results concerning the asymptotic behavior of the DMT.
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