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20032008
most citedCooperative Spectrum Sensing Using Random Matrix Theory

21 citations

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5 papers · 1 filter

math.PR20082 cited

Asymptotic Independence in the Spectrum of the Gaussian Unitary Ensemble

P. Bianchi, M. Debbah, J. Najim

Consider a matrix from the Gaussian Unitary Ensemble (GUE). Given a finite collection of bounded disjoint real Borel sets , properly rescale…

math.PR2008

Forgetting of the initial distribution for non-ergodic Hidden Markov Chains

Elisabeth Gassiat, Benoit Landelle, Eric Moulines

In this paper, the forgetting of the initial distribution for a non-ergodic Hidden Markov Models (HMM) is studied. A new set of conditions is proposed to establish the forgetting p…

math.PR2007

Upper bound of loss probability in an OFDMA system with randomly located users

Laurent Decreusefond, Eduardo Ferraz, Philippe Martins

For OFDMA systems, we find a rough but easily computed upper bound for the probability of loosing communications by insufficient number of sub-channels on downlink. We consider as…

math.PR2007

A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile

Walid Hachem, Philippe Loubaton, Jamal Najim

Consider a random matrix where the entries are given by the being centered, indep…

math.PR2003

Stochastic Integration with respect to Volterra processes

L. Decreusefond

We construct the basis of a stochastic calculus for so-called Volterra processes, i.e., processes which are defined as the stochastic integral of a time-dependent kernel with respe…