Article ID Journal Published Year Pages File Type
5773539 Applied and Computational Harmonic Analysis 2017 10 Pages PDF
Abstract
We characterize collections of orthogonal projections for which it is possible to reconstruct a vector from the magnitudes of the corresponding projections. As a result we are able to show that in an M-dimensional real vector space a vector can be reconstructed from the magnitudes of its projections onto a generic collection of N≥2M−1 subspaces. We also show that this bound is sharp when N=2k+1. The results of this paper answer a number of questions raised in [5].
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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