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Conference Papers Year : 2013

Second-Order Analysis of the Joint SINR distribution in Rayleigh Multiple Access and Broadcast Channels

Abstract

This article studies the joint distribution of the signal-to-interference-plus-noise ratios (SINR) of the users in Rayleigh multiple access channels and broadcast channels, using large dimensional random matrix theory. Two models are studied: a multiple access channel (MAC) with minimum mean square error (MMSE) decoding, and a broadcast channel with regularized zero-forcing (RZF) precoding. It is shown that, in both models, the empirical distribution of the SINRs of the users behaves asymptotically as a Gaussian, with identified mean and variance. The result is applied to the estimation of the proportion of users in outage for a given target rate. This asymptotic Gaussian behavior can be derived from a theoretical approach based on Stein's method in a random matrix theory context.
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Dates and versions

hal-00906122 , version 1 (19-11-2013)

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Adrien Pelletier, Romain Couillet, Jamal Najim. Second-Order Analysis of the Joint SINR distribution in Rayleigh Multiple Access and Broadcast Channels. 2013 Asilomar Conference on Signals, Systems and Computers , Nov 2013, Pacific Grove, CA, United States. ⟨10.1109/ACSSC.2013.6810488⟩. ⟨hal-00906122⟩
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