Large System Analysis of Zero-Forcing Precoding in MISO Broadcast Channels with Limited Feedback

Sebastian Wagner (1) , Romain Couillet (2) , Dirk Slock (1) , Merouane Debbah (3)

1 Eurecom [Sophia Antipolis]
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

In this paper we analyze the sum rate of zero-forcing (ZF) precoding in MISO broadcast channels with limited feedback, transmit correlation and path loss. Our analysis assumes that the number of transmit antennas $M$ and the number of users $K$ are large, while their ratio remains bounded. By applying recent results from random matrix theory we derive a deterministic equivalent of the signal-to-interference plus noise ratio (SINR) and compute the sum rate maximizing number of users as well as the limiting sum rate for high signal-to-noise ratios (SNR), as a function of the channel errors and the channel correlation pattern. Simulations show that theoretical and numerical results match well, even for small system dimensions.

Domaines: Réseaux et télécommunications [cs.NI]

Sebastian Wagner, Romain Couillet, Dirk Slock, Merouane Debbah. Large System Analysis of Zero-Forcing Precoding in MISO Broadcast Channels with Limited Feedback. 11th IEEE International Workshop on Signal Processing Advances in Wireless Communications, Jun 2010, Marrakech, Morocco. pp.1 - 5, ⟨10.1109/SPAWC.2010.5671035⟩. ⟨hal-00675528⟩