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Unequal dimensional small balls and quantization on Grassmann Manifolds

2007
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2007 IEEE International Symposium on Information Theory
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The Grassmann manifold G_{n,p}(L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space L^{n}, where L is either R or C. This paper considers an unequal dimensional quantization in which a source in G_{n,p}(L) is quantized through a code in G_{n,q}(L), where p and q are not necessarily the same. It is different from most works in literature where p\equiv q. The analysis for unequal dimensional quantization is based on the volume of a metric ball in

doi:10.1109/isit.2007.4557483
dblp:conf/isit/DaiRL07
fatcat:bvoifam3zreavik5bsfzvo5dgq