Matrix computations (3rd ed.)
Novel Transmit Beamforming Schemes for Time-Selective Fading Multiantenna Systems
IEEE Transactions on Signal Processing
Multiple Antenna Broadcast Channels With Shape Feedback and Limited Feedback
IEEE Transactions on Signal Processing - Part I
All sources are nearly successively refinable
IEEE Transactions on Information Theory
Bounds on packings of spheres in the Grassmann manifold
IEEE Transactions on Information Theory
Grassmannian beamforming for multiple-input multiple-output wireless systems
IEEE Transactions on Information Theory
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In this paperwe look at the problem of successively refining the description of a Gaussian i.i.d. source in a Grassmannian space. This problem is relevant, for example, in the encoding of channel state information for the limited feedback MIMO broadcast channel. We show how it is possible to achieve an isotropic distribution of the error vector by applying unitary transformations, which simplifies the problem of finding optimal codebooks for the error quantisation. Reconstruction error analysis and numerical tests show how the proposed technique can, in practice, perform very close to the distortion-rate bound and suggest that, in some cases, these successive error descriptions can be optimal refinements of one another.