This paper proposes Reflected Simplex codebooks for limited feedback beamforming in multiple-input multipleoutput (MIMO) wireless systems. The codebooks are a geometric construction based on simplices and the An lattice. We propose a fast codebook search and indexing algorithm. We show that such codebooks perform superior or comparable to other codebooks, with much lower implementation complexity.
Daniel J. Ryan, Iain B. Collings, Jean-Marc Valin