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» Bounds on packings of spheres in the Grassmann manifold
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TIT
2002
108views more  TIT 2002»
13 years 10 months ago
Bounds on packings of spheres in the Grassmann manifold
We derive the Gilbert
Alexander Barg, Dmitry Yu. Nogin
CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 11 months ago
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Wei Dai, Youjian Liu, Brian Rider
CORR
2007
Springer
77views Education» more  CORR 2007»
13 years 11 months ago
Quantization Bounds on Grassmann Manifolds of Arbitrary Dimensions and MIMO Communications with Feedback
— This paper considers the quantization problem on the Grassmann manifold with dimension n and p. The unique contribution is the derivation of a closed-form formula for the volum...
Wei Dai, Youjian Liu, Brian Rider
TIT
2008
84views more  TIT 2008»
13 years 10 months ago
Bounds for Codes in Products of Spaces, Grassmann, and Stiefel Manifolds
Upper bounds are derived for codes in Stiefel and Grassmann manifolds with given minimum chordal distance. They stem from upper bounds for codes in the product of unit spheres and...
Christine Bachoc, Yael Ben-Haim, Simon Litsyn