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Sphere packing bounds in the Grassmann and Stiefel manifolds | | Oliver Henkel
; | | Date: |
12 Aug 2003 | | Journal: | IEEE Transactions on Information Theory, vol 51, no 10, (2005), 3445-3456 DOI: 10.1109/TIT.2005.855594 | | Subject: | Metric Geometry; Information Theory | math.MG cs.IT | | Abstract: | 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. | | Source: | arXiv, math.MG/0308110 | | Services: | Forum | Review | PDF | Favorites | |
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