The Geometry of Algorithms with Orthogonality Constraints
SIAM Journal on Matrix Analysis and Applications
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Limited feedback beamforming over temporally-correlated channels
IEEE Transactions on Signal Processing
Novel Transmit Beamforming Schemes for Time-Selective Fading Multiantenna Systems
IEEE Transactions on Signal Processing
Grassmannian beamforming for multiple-input multiple-output wireless systems
IEEE Transactions on Information Theory
MIMO Broadcast Channels With Finite-Rate Feedback
IEEE Transactions on Information Theory
Differential feedback of MIMO channel gram matrices based on geodesic curves
IEEE Transactions on Wireless Communications
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Limited feedback in multiuser multi-antenna systems is a practical technique for providing partial channel state information (CSI) to the transmitter. Unfortunately, it is known that the number of feedback bits per mobile terminal must be scaled with the number of transmit antennas and system signal to noise ratio. Therefore very high resolution codebooks are needed to approach the theoretically achievable sum rate. In this paper, we propose a geodesic prediction algorithm to 1) reduce the feedback overhead under temporally correlated channels, and 2) improve on the sum rate ceiling observed with a fixed codebook size. The proposed algorithm provides local refinement of the CSI thereby achieving higher resolution CSI at the transmitter despite of using a fixed codebook size. Furthermore, feedback can be performed infrequently to lower the average feedback rate. Numerical results are provided to illustrate the performance of the proposed algorithm.