Kerdock Codes for Limited Feedback Precoded MIMO Systems
Inoue, T.
Heath, R.W.
Dept. of Electr. & Comput. Eng., Univ. of Texas at Austin, Austin, TX, USA;
This paper appears in: Signal Processing, IEEE Transactions on
Publication Date: Sept. 2009
Volume: 57,
Issue: 9
On page(s): 3711-3716
ISSN: 1053-587X
INSPEC Accession Number: 10816653
Digital Object Identifier: 10.1109/TSP.2009.2020761
First Published: 2009-04-10
Current Version Published: 2009-08-11
Abstract
Codebook based limited feedback is a practical way to obtain partial channel state information at the transmitter in a precoded multiple-input multiple-output wireless system. In this correspondence, we propose a systematic codebook design. The proposed Kerdock codebook consists of multiple mutually unbiased unitary basis matrices with quaternary alphabet and the identity matrix. We propose to derive the beamforming and precoding codebooks from this base codebook, eliminating the requirement to store multiple codebooks. Furthermore, we show that quaternary alphabet facilitates efficient codebook storage and codeword search. We derive the chordal distance for two and four antenna codebooks, showing that the proposed codebooks compare favorably with prior designs. Monte Carlo simulations compare achievable rates and error rates for different codebooks sizes.
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