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—We present two interference alignment techniques such that an opportunistic point-to-point multiple input multiple output (MIMO) link can reuse, without generating any additional interference, the same frequency band of a similar pre-existing primary link. In this scenario, we exploit the fact that under power constraints, although each radio maximizes… (More)

In this paper, the capacity-achieving input covariance matrices for coherent block-fading correlated multiple input multiple output (MIMO) Rician channels are determined. In contrast with the Rayleigh and uncorrelated Rician cases, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available. Classically, both the… (More)

Non exhaustive methodologies for characterizing equilibria in wireless games in terms of existence, uniqueness, selection, and efficiency are provided. The paper will focus on technical problems arising at the physical and medium access layers of a wireless network, and not on economic aspects related to it, like the auction problem for spectrum, even… (More)

- Elena-Veronica Belmega, Samson Lasaulce
- 2009

In this note we prove that Tr {MN + PQ} ≥ 0 when the following two conditions are met: (i) the matrices M, N, P, Q are structured as follows M = A − B, N = B −1 − A −1 , P = C − D, Q = (B + D) −1 − (A + C) −1 (ii) A, B are positive definite matrices and C, D are positive semidefinite matrices.

The problem of energy-efficient precoding is investigated when the terminals in the system are equipped with multiple antennas. Considering static and fast-fading multiple-input multiple-output (MIMO) channels, the energy-efficiency is defined as the transmission rate to power ratio and shown to be maximized at low transmit power. The most interesting case… (More)

In this article, a survey of several important equilibrium concepts for decentralized networks is presented. The term decentralized is used here to refer to scenarios where decisions (e.g., choosing a power allocation policy) are taken autonomously by devices interacting with each other (e.g., through mutual interference). The iterative long-term… (More)

Decentralized multiple access channels where each transmitter wants to selfishly maximize his transmission energy-efficiency are considered. Transmitters are assumed to choose freely their power control policy and interact (through multiuser interference) several times. It is shown that the corresponding conflict of interest can have a predictable outcome,… (More)

We determine the capacity-achieving input covariance matrices for coherent block-fading correlated MIMO Rician channels. In contrast with the Rayleigh and uncorrelated Rician cases, no closed-form expressions for the eigenvec-tors of the optimum input covariance matrix are available. Both the eigenvectors and eigenvalues have to be evaluated by using… (More)

In this paper<sup>1</sup>, 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… (More)

Dynamic Games and Applications manuscript No. Abstract One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The players are the transmitters who adapt their power level to the… (More)