Learning Distributed Power Allocation Policies in MIMO Channels

Elena Veronica Belmega (1) , Samson Lasaulce (1) , Merouane Debbah (2) , Are Hjorungnes (3)

1 L2S - Laboratoire des signaux et systèmes
2 E3S - Supélec Sciences des Systèmes
3 UiO - University of Oslo

In this paper, we study the discrete power allocation game for the fast fading multiple-input multiple-output multiple access channel. Each player or transmitter chooses its own transmit power policy from a certain finite set to optimize its individual transmission rate. First, we prove the existence of at least one pure strategy Nash equilibrium. Then, we investigate two learning algorithms that allow the players to converge to either one of the NE states or to the set of correlated equilibria. At last, we compare the performance of the considered discrete game with the continuous game in [7].

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

Elena Veronica Belmega, Samson Lasaulce, Merouane Debbah, Are Hjorungnes. Learning Distributed Power Allocation Policies in MIMO Channels. European Signal Processing Conference (EUSIPCO-2010), Aug 2010, Denmark. pp.1449-1453. ⟨hal-00554949⟩