Volume of Metric Balls in High-Dimensional Complex Grassmann Manifolds
IEEE Transactions on Information Theory(2016)
摘要
Volume of metric balls relates to rate-distortion theory and packing bounds on codes. In this paper, the volume of balls in complex Grassmann manifolds is evaluated for an arbitrary radius. The ball is defined as a set of hyperplanes of a fixed dimension with reference to a center of possibly different dimensions, and a generalized chordal distance for unequal dimensional subspaces is used. First,...
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关键词
Measurement,Manifolds,Rate-distortion,Jacobian matrices,Electronic mail,Source coding
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