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In multi-user communication from one base station (BS) to multiple users, theproblem of minimizing the transmit power to achieve some target guaranteedperformance (rates) at users has been well investigated in the literature.Similarly various user selection algorithms have been proposed and analyzedwhen the BS has to transmit to a subset of the users in the system, mostly forthe objective of the sum rate maximization.  We study the joint problem of minimizing the transmit power at the BS toachieve specific signal-to-interference-and-noise ratio (SINR) targets at usersin conjunction with user scheduling. The general analytical results for theaverage transmit power required to meet guaranteed performance at the users'side are difficult to obtain even without user selection due to jointoptimization required over beamforming vectors and power allocation scalars. Westudy the transmit power minimization problem with various user selectionalgorithms, namely semi-orthogonal user selection (SUS), norm-based userselection (NUS) and angle-based user selection (AUS). When the SINR targets toachieve are relatively large, the average minimum transmit power expressionsare derived for NUS and SUS for any number of users. For the special case whenonly two users are selected, similar expressions are further derived for AUSand a performance upper bound which serves to benchmark the performance ofother selection schemes. Simulation results performed under various settingsindicate that SUS is by far the better user selection criterion.

Average Minimum Transmit Power to achieve SINR Targets: Performance Comparison of Various User Selection Algorithms