Robust dimension reduction, fusion frames, and Grassmannian packings
نویسندگان
چکیده
منابع مشابه
Robust dimension reduction, fusion frames, and Grassmannian packings
We consider estimating a random vector from its measurements in a fusion frame, in presence of noise and subspace erasures. A fusion frame is a collection of subspaces, for which the sum of the projection operators onto the subspaces is bounded below and above by constant multiples of the identity operator. We first consider the linear minimum mean-squared error (LMMSE) estimation of the random...
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Transmitted data may be corrupted by both noise and data loss. Grassmannian frames are in some sense optimal representations of data transmitted over a noisy channel that may lose some of the transmitted coefficients. Fusion frame (or frame of subspaces) theory is a new area that has potential to be applied to problems in such fields as distributed sensing and parallel processing. Grassmannian ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2009
ISSN: 1063-5203
DOI: 10.1016/j.acha.2008.03.001