Robust Dual Reconstruction Systems and Fusion Frames
نویسندگان
چکیده
منابع مشابه
Optimal dual fusion frames for probabilistic erasures
For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion ...
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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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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2012
ISSN: 0167-8019,1572-9036
DOI: 10.1007/s10440-011-9667-x