Phase retrieval in infinite-dimensional Hilbert spaces-Reference-Cited by-同舟云学术

Phase retrieval in infinite-dimensional Hilbert spaces

Published:2016-10-06 Issue:3 Volume:3 Page:63-76
ISSN:2330-0000
Container-title:Transactions of the American Mathematical Society, Series B
language:en
Short-container-title:Trans. Amer. Math. Soc. Ser. B

Author:

Cahill Jameson,Casazza Peter,Daubechies Ingrid

Abstract

The main result of this paper states that phase retrieval in infinite-dimensional Hilbert spaces is never uniformly stable, in sharp contrast to the finite-dimensional setting in which phase retrieval is always stable. This leads us to derive stability results for signals depending on how well they are approximated by finite expansions.

Publisher

American Mathematical Society (AMS)

Link

http://www.ams.org/btran/2016-03-03/S2330-0000-2016-00012-6/S2330-0000-2016-00012-6.pdf

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