Frobenius norm based receive Antenna Subarray Formation for MIMO systems

Antenna Subarray Formation (ASF) has been recently proposed as an alternative method to Antenna Selection that reduces hardware complexity while offering increased data rates. With this method each RF chain is not allocated to a single element but instead to the combined and weighted output of a subarray of elements and thus achieves decreased receiver hardware complexity, since less downconverters and analog-to-digital converters are required with respect to the full system. In this paper, we introduce a suboptimal analytical algorithm for receive antenna subarray formation that maximizes capacity through the maximization of an upper bound on the Frobenius norm of the effective channel.