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Diversity-Multiplexing Tradeoff in the Low-SNR Regime

An extension of the popular diversity-multiplexing tradeoff framework to the low-SNR (or wideband) regime is proposed. The concept of diversity gain is shown to be redundant in this regime since the outage probability is SNR-independent and depends on the multiplexing gain and the channel power gain statistics only. The outage probability under the DMT framework is obtained in an explicit, closed form for a broad class of channels. The low and high-SNR regime boundaries are explicitly determined for the scalar Rayleigh-fading channel, indicating a significant limitation of the SNR-asymptotic DMT when the multiplexing gain is small.

preprint2011arXivOpen access
Sergey LoykaGeorgy Levin
math.ITInformation Theory
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Sergey LoykaGeorgy Levin

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