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Proceedings Paper

Phase retrieval
Author(s): Jameson Cahill; Peter G. Casazza; John Jasper; Lindsey M. Woodland
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Paper Abstract

We answer a number of open problems concerning phase retrieval and phase retrieval by projections. In particular, one main theorem classifies phase retrieval by projections via collections of sequences of vectors allowing norm retrieval. Another key result computes the minimal number of vectors needed to add to a frame in order for it to possess the complement property and hence allow phase retrieval. In furthering this idea, in a third main theorem we show that when a collection of subspaces is one subspace short from allowing phase retrieval, then any partition of these subspaces spans two hyperplanes. We offer many more results in this area as well as provide a large number of examples showing the limitations of the theory.

Paper Details

Date Published: 14 September 2015
PDF: 15 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970O (14 September 2015); doi: 10.1117/12.2185187
Show Author Affiliations
Jameson Cahill, Duke Univ. (United States)
Peter G. Casazza, Univ. of Missouri (United States)
John Jasper, Univ. of Cincinnati (United States)
Lindsey M. Woodland, Prognos Inc. (United States)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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