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Recently, studies on sub-optimal precoding techniques for Multiple-Input Multiple-Output Broadcast Channels (MIMO-BC), which achieve performance near to that of the Dirty Paper Coding (DPC), have drawn attention to Vector Perturbation (VP). In practice, each antenna or more generally each antenna group has its own limit on the transmitted power, which makes per-Antenna-Group (per-AG) power constraints more meaningful than the sum power constraint. In this paper, the authors assume the perantenna-group constraints and first investigate antenna-group power-constrained VP inspired by the p-sphere encoder for the case when channel inversion is used by the front-end linear precoder.
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