Grassmannian beamforming for multiple-input multiple-output wireless systems
Top Cited Papers
- 14 October 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 49 (10) , 2735-2747
- https://doi.org/10.1109/tit.2003.817466
Abstract
Transmit beamforming and receive combining are simple methods for exploiting the significant diversity that is available in multiple-input multiple-output (MIMO) wireless systems. Unfortunately, optimal performance requires either complete channel knowledge or knowledge of the optimal beamforming vector; both are hard to realize. In this article, a quantized maximum signal-to-noise ratio (SNR) beamforming technique is proposed where the receiver only sends the label of the best beamforming vector in a predetermined codebook to the transmitter. By using the distribution of the optimal beamforming vector in independent and identically distributed Rayleigh fading matrix channels, the codebook design problem is solved and related to the problem of Grassmannian line packing. The proposed design criterion is flexible enough to allow for side constraints on the codebook vectors. Bounds on the codebook size are derived to guarantee full diversity order. Results on the density of Grassmannian line packings are derived and used to develop bounds on the codebook size given a capacity or SNR loss. Monte Carlo simulations are presented that compare the probability of error for different quantization strategies.Keywords
This publication has 40 references indexed in Scilit:
- Grassmannian beamforming for multiple-input multiple-output wireless systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2004
- Performance limits on beamforming with finite rate feedback for multiple antenna systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Quantized maximum ratio transmission for multiple-input multiple-output wireless systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Grassmannian frames with applications to coding and communicationApplied and Computational Harmonic Analysis, 2003
- Beamformer design with feedback rate constraints: criteria and constructionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Analysis and comparison of optimal predictive transmitter selection and combining diversity for DECTPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channelIEEE Transactions on Information Theory, 2002
- Digital Communication Over Fading ChannelsPublished by Wiley ,2002
- On Limits of Wireless Communications in a Fading Environment when Using Multiple AntennasWireless Personal Communications, 1998
- Packing Lines, Planes, etc.: Packings in Grassmannian SpacesExperimental Mathematics, 1996