Sphere packing bounds in the Grassmann and Stiefel manifolds

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Applying the Riemann geometric machinery of volume estimates in terms of curvature, bounds for the minimal distance of packings/codes in the Grassmann and Stiefel manifolds will be derived and analyzed. In the context of space-time block codes this leads to a monotonically increasing minimal distance lower bound as a function of the block length. This advocates large block lengths for the code design.
Replaced with final version, 11 pages

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Metric Geometry, Information Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/134360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308110
 http://arxiv.org/abs/math/0308110
 IEEE Transactions on Information Theory, vol 51, no 10, (2005), 3445-3456
 doi:10.1109/TIT.2005.855594

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arXiv