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The authors address the problem of pre-coding in downlink multi-user MIMO communications using SDMA. In this setup, multiple antennas are used at the base station and at the terminals. A double level of spatial multiplexing is present: the users are spatially multiplexed (SDMA) and each user receives spatially multiplexed symbol streams (SDM). The cumulative multi-user and multi-stream interference is a potential performance limitation in this scheme. To mitigate this, they propose a linear pre-coder that has the following properties: it can be computed analytically; it can be computed without iterations; it improves on the state-of-the-art solution based on the generalized eigenvectors; it is computed separately for each user.
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