Performance of mutual information inference methods under unknown interference

Abla Kammoun (1) , Romain Couillet (2) , Jamal Najim (1) , Merouane Debbah (3)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

The problem of fast point-to-point MIMO channel mutual information estimation is addressed, in the situation where the receiver undergoes unknown colored interference, whereas the channel with the transmitter is perfectly known. The considered scenario assumes that the estimation is based on a few channel use observations during a short sensing period. Using large dimensional random matrix theory, an estimator referred to as {\em G-estimator} is derived. This estimator is proved to be consistent as the number of antennas and observations grow large and its asymptotic performance is analyzed. In particular, the G-estimator satisfies a central limit theorem with asymptotic Gaussian fluctuations. Simulations are provided which strongly support the theoretical results, even for small system dimensions.

Mots clés: Information theory; Estimation and Detection; Large random matrices

Domaines: Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Abla Kammoun, Romain Couillet, Jamal Najim, Merouane Debbah. Performance of mutual information inference methods under unknown interference. IEEE Transactions on Information Theory, 2013, 59 (2), pp.1129-1148. ⟨10.1109/TIT.2012.2219034⟩. ⟨hal-00596126v2⟩