Distributed User Selection in Network MIMO Systems with Limited Feedback

Elkhalil, Khalil; Eltayeb, Mohammed E.; Dahrouj, Hayssam; Al-Naffouri, Tareq Y.

doi:10.1109/vtcfall.2015.7390898

Cited by 5 publications

(2 citation statements)

References 9 publications

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“…The BLUE Average Estimation Error: Let n > m and consider the same linear system as in (17). With the the noise covariance matrix Σ z at hand, the best linear unbiased estimator (BLUE) [14] recovers x as:…”

Section: ) An Exact Expression Formentioning

confidence: 99%

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Analytical Derivation of the Inverse Moments of One-Sided Correlated Gram Matrices With Applications

Elkhalil

Kammoun

Al-Naffouri

et al. 2016

IEEE Trans. Signal Process.

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This paper addresses the development of analytical tools for the computation of the moments of random Gram matrices with one side correlation. Such a question is mainly driven by applications in signal processing and wireless communications wherein such matrices naturally arise. In particular, we derive closed-form expressions for the inverse moments and show that the obtained results can help approximate several performance metrics such as the average estimation error corresponding to the Best Linear Unbiased Estimator (BLUE) and the Linear Minimum Mean Square Error LMMSE or also other loss functions used to measure the accuracy of covariance matrix estimates.

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Section: ) An Exact Expression Formentioning

confidence: 99%

“…We denote by Σ e,blue = E{e blue e * blue } the covariance matrix of e blue , then Σ e,blue = H * Σ −1 z H −1 . Note that the BLUE can also be used as a refinement tool after compressed sensing (CS) recovery as demonstrated in [8,9,17,18]. of the inverse moments of one sided correlated Gram matrix as follows…”

Section: ) An Exact Expression Formentioning

confidence: 99%