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arXiv · 1506.00674

Projections and Phase retrieval

Dan Edidin
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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 $N \geq 2M-1$ subspaces. We also show that this bound is sharp when $N = 2^k +1$. The results of this paper answer a number of questions raised in \cite{CCPW:13}.

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Dan Edidin. 2015-06-01. Projections and Phase retrieval. https://arxiv.org/abs/1506.00674

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