Asymptotic Analysis of Regularized Zero-Forcing Precoding in MISO Broadcast Channels with Limited Feedback

Sebastian Wagner (1) , Romain Couillet (2) , Dirk Slock (3) , Merouane Debbah (4)

1 ST-Ericsson [Cornadero]
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 Eurecom [Sophia Antipolis]
4 E3S - Supélec Sciences des Systèmes

In this paper we analyse the asymptotic sum-rate of regularized zero-forcing (RZF) precoding in MISO broadcast channels with limited feedback, transmit correlation and path- loss. Our analysis assumes that the ratio of the number of transmit antennas M to the number of users K is bounded as (K; M ) grow large. By applying recent results from random matrix theory we derive a deterministic equivalent of the SINR and compute the sum-rate maximizing regularization term as well as sum-rate bounds for high SNR. Numerical simulations show that the asymptotic results extend well into finite regimes.

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]

Sebastian Wagner, Romain Couillet, Dirk Slock, Merouane Debbah. Asymptotic Analysis of Regularized Zero-Forcing Precoding in MISO Broadcast Channels with Limited Feedback. ISIT, Jun 2010, Austin, United States. pp.ISIT 2010 - Wagner. ⟨hal-00553697⟩