Share Email Print
cover

Proceedings Paper

Stability of phase retrievable frames
Author(s): Radu Balan
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

In this paper we study the property of phase retrievability by redundant systems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilbert space of dimension n allows for vector reconstruction from magnitudes of its coefficients, then there is a perturbation bound ρ so that any frame set within ρ from F has the same property. In particular this proves the recent construction in15 is stable under perturbations. By the same token we reduce the critical cardinality conjectured in11 to proving a stability result for non phase-retrievable frames.

Paper Details

Date Published: 26 September 2013
PDF: 10 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580H (26 September 2013); doi: 10.1117/12.2026135
Show Author Affiliations
Radu Balan, Univ. of Maryland, College Park (United States)


Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

© SPIE. Terms of Use
Back to Top