@INPROCEEDINGS{Larrousse-isit2013,
AUTHOR="Benjamin Larrousse and Samson E Lasaulce",
TITLE="Coded Power Control: Performance Analysis",
BOOKTITLE="2013 IEEE International Symposium on Information Theory (ISIT'2013)",
ADDRESS="Istanbul, Turkey",
DAYS=7,
MONTH=jul,
YEAR=2013,
KEYWORDS="Power control; Resource allocation; Distributed optimization; Coding
theorems; Best response dynamics; Coordination",
ABSTRACT="This paper introduces the idea of coordinating the power levels of wireless
transmitters by using these levels themselves and more precisely by
encoding them. Although the derived results can be generalized in many
respects, the main goal of this paper is to fully characterize the
potential performance improvements brought by coded power control (PC) in a
given scenario which captures the main ingredients of the proposed
approach. This scenario includes the problem of PC as a special case and
assumes two decision-makers (DM, e.g., transmitters) which both want to
maximize a given arbitrary (expected) payoff. One of them, say DM 1, knows
non-causally a state (e.g., the channel state) which affects the common
payoff while the other, say DM 2, has only a strictly causal knowledge of
it. DM 1 can only use its own actions (e.g., power levels) to inform DM 2
about its best action in terms of payoff. Importantly, DM 2 can only
monitor the actions of DM 1 imperfectly and DM 1 does not observe DM 2. The
latter assumption leads us to exploiting Shannon-theoretic tools in order
to generalize an existing theorem which provides the information constraint
under which the payoff is maximized, which allows one to fully characterize
the performance of good coded PC policies. Numerical results are provided
for a given model of the interference channel and confirm the potential of
the proposed approach."
}