Moments of Gram matrices with applications

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• Khalil Elkhalil, King Abdullah University of Science and Technology
• Friday 08 July 2016, 11:00-12:00
• Room 503, 5th Floor, EEE Building.

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Abstract: This presentation addresses the development of analytical tools for the computation of the inverse 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) estimator or also other loss functions used to measure the accuracy of covariance matrix estimates. In a second part, we show that inverse moments can also be used in order to perform blind measurement selection based on some statistical information.

Biography:

Khalil Elkhalil was born in Gabes, Tunisia. He received the B.Eng. degree in telecommunication engineering (with first-class honors) from the Higher School of Communications of Tunis (Sup’Com), El-Ghazala, Tunisia, in 2012. He joined King Abdullah University of Science and Technology (KAUST) in August 2013 where he is currently a M.S./Ph.D. student in the Electrical Engineering program. His research interests include signal processing for communication, compressive sensing, random matrix theory and its applications to wireless communications and radar systems.

This talk is part of the Featured talks series.

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