Khalil Elkhalil, A. Kammoun, T. Al-Naffouri, Mohamed-Slim Alouini
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Exact closed-form expression for the inverse moments of one-sided correlated Gram matrices
In this paper, we derive a closed-form expression for the inverse moments of one sided-correlated random Gram matrices. Such a question is mainly motivated by applications in signal processing and wireless communications for which evaluating this quantity is a question of major interest. This is for instance the case of the best linear unbiased estimator, in which the average estimation error corresponds to the first inverse moment of a random Gram matrix.