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.
Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00906122
Contributor : Catherine Magnet <>
Submitted on : Tuesday, November 19, 2013 - 11:42:15 AM
Last modification on : Monday, December 17, 2018 - 2:28:01 PM

Identifiers

Citation

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⟩

Share

Metrics

Record views

379