Translator Disclaimer
14 September 2015 Phase retrieval
Author Affiliations +
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.
© (2015) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jameson Cahill, Peter G. Casazza, John Jasper, and Lindsey M. Woodland "Phase retrieval", Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970O (14 September 2015); https://doi.org/10.1117/12.2185187
PROCEEDINGS
15 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT

Gabor frames and operator algebras
Proceedings of SPIE (December 03 2000)
Projections of frames
Proceedings of SPIE (September 17 2005)
Parameterization of multiresolution analyses
Proceedings of SPIE (August 31 1995)

Back to Top