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It is one of the biggest challenges of distributedcooperative antenna (COOPA) systems to provide base stations(BSs) with downlink channel information for transmit filtering (precoding).  In this paper, we propose a novel feedback scheme via a subspace-based channel quantization method. The proposed scheme adopts the  chordal distance as a channel quantizer criterion so as to capture  channel characteristics represented by subspaces spanned by the  channel matrix. We also propose a combined feedback scheme which  is based on the hierarchical codebook construction method in an  effort to reduce the feedback overhead by exploiting the temporal  correlation of the channel. The proposed methods are tested for  distributed COOPA systems in terms of simulations. Simulation  results show that the proposed subspace-based channel quantization  method outperforms the analog pilot retransmission method, and the  combined feedback scheme performs as well as the permanent  full-feedback scheme with a much smaller amount of uplink  resources

Efficient Feedback via Subspace-Based Channel Quantization for Distributed Cooperative Antenna Systems with Temporally Correlated Channels