Reflected Simplex Codebooks for Limited Feedback MIMO Beamforming

This paper proposes Reflected Simplex codebooks for limited feedback beamforming in multiple-input multiple-output (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.

[1]  Daniel J. Ryan,et al.  QAM Codebooks for Low-Complexity Limited Feedback MIMO Beamforming , 2007, 2007 IEEE International Conference on Communications.

[2]  Robert W. Heath,et al.  Grassmannian beamforming for multiple-input multiple-output wireless systems , 2003, IEEE Trans. Inf. Theory.

[3]  Jeffrey G. Andrews,et al.  CTH07-1: Effect of Feedback Delay on Multi-Antenna Limited Feedback for Temporally-Correlated Channels , 2006, IEEE Globecom 2006.

[4]  Daniel J. Ryan,et al.  QAM and PSK codebooks for limited feedback MIMO beamforming , 2009, IEEE Transactions on Communications.

[5]  Daniel J. Ryan,et al.  GLRT-Optimal Noncoherent Lattice Decoding , 2007, IEEE Transactions on Signal Processing.

[6]  Van Trees,et al.  Detection, Estimation, and Modulation Theory. Part 1 - Detection, Estimation, and Linear Modulation Theory. , 1968 .

[7]  Michael L. Honig,et al.  Signature optimization for CDMA with limited feedback , 2005, IEEE Transactions on Information Theory.

[8]  Youjian Liu,et al.  Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications , 2006, IEEE Transactions on Information Theory.

[9]  Timothy B. Terriberry,et al.  A Multiply-Free Enumeration of Combinations With Replacement and Sign , 2008 .

[10]  Robert W. Heath,et al.  What is the value of limited feedback for MIMO channels? , 2004, IEEE Communications Magazine.

[11]  Thomas R. Fischer,et al.  A pyramid vector quantizer , 1986, IEEE Trans. Inf. Theory.

[12]  David James Love,et al.  On the performance of random vector quantization limited feedback beamforming in a MISO system , 2007, IEEE Transactions on Wireless Communications.

[13]  N. J. A. Sloane,et al.  Voronoi regions of lattices, second moments of polytopes, and quantization , 1982, IEEE Trans. Inf. Theory.

[14]  Elza Erkip,et al.  On beamforming with finite rate feedback in multiple-antenna systems , 2003, IEEE Trans. Inf. Theory.