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TIT
2008
84views more  TIT 2008»
13 years 7 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
CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 7 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
GLOBECOM
2007
IEEE
14 years 1 months ago
Volume Growth and General Rate Quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu
CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 7 months ago
Unequal dimensional small balls and quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu
TIT
2008
115views more  TIT 2008»
13 years 7 months ago
Affine Reflection Group Codes
This paper presents a construction of Slepian group codes from affine reflection groups. The solution to the initial vector and nearest distance problem is presented for all irred...
Terasan Niyomsataya, Ali Miri, Monica Nevins