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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)

- Julien Dumont, Walid Hachem, Samson Lasaulce, Philippe Loubaton, Jamal Najim
- IEEE Transactions on Information Theory
- 2010

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)

- Samson Lasaulce, Mérouane Debbah, Eitan Altman
- IEEE Signal Processing Magazine
- 2009

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.

- Elena Veronica Belmega, Samson Lasaulce
- IEEE Transactions on Signal Processing
- 2011

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)

- Luca Rose, Samir Medina Perlaza, Samson Lasaulce, Mérouane Debbah
- IEEE Communications Magazine
- 2011

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)

- Maël Le Treust, Samson Lasaulce
- IEEE Trans. Wireless Communications
- 2010

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)

- Julien Dumont, Philippe Loubaton, Samson Lasaulce
- GLOBECOM
- 2006

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)

- François Mériaux, Samson Lasaulce, Hamidou Tembine
- ArXiv
- 2013

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)

- Elena Veronica Belmega, Samson Lasaulce, Mérouane Debbah, Are Hjørungnes
- 2010 18th European Signal Processing Conference
- 2010

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)