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Sphere packing bounds in the Grassmann and Stiefel manifolds

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Reference
6th IMA International Conference on Mathematics in Signal Processing, The Institute of Mathematics and its Applications (IMA), Cirencester, England, Dec. 2004, pp. 91-94.

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 analysed. 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.

Subject areas
  • Multi-antenna Systems
  • Mathematics
 
IEEEtran BibTeX-Entry
@inproceedings{H04spbi,
   author          = "Oliver Henkel", 
   title           = "{Sphere packing bounds in the Grassmann and Stiefel manifolds}", 
   booktitle       = "{6th IMA International Conference on Mathematics in Signal Processing}", 
   organisation    = "The Institute of Mathematics and its Applications (IMA)", 
   address         = "Cirencester, England", 
   month           = dec, 
   year            = "2004", 
   pages           = "91--94", 
}

Last modified 26.10.2005 14:34
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