Abstract

This work considers the problem of multiuser transmission in a downlink transmission system where a transmitter with multiantenna elements sends information to a set of scheduled users with each having a single antenna. We investigate the sum rate performance of an orthogonal beamforming (OBF) scheme called adaptive OBF, which is a suboptimal low-complexity alternative to the capacity-achieving dirty paper coding approach. We develop a simple order statistics framework to evaluate the probability density functions (pdfs) of the scheduled users' signal-to-interference plus noise ratio (SINR) values based on the knowledge of channel statistics and selection procedure. In particular, the pdf expressions for first and second scheduled users' SINR values are obtained in closed-form. The analysis is verified by numerical results.

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