We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Iteratively consistent one-bit phase retrieval.
- Authors
Domel-White, Dylan; Powell, Alexander M.
- Abstract
We introduce the ICQPhase algorithm for iteratively consistent quantized phase retrieval. ICQPhase addresses the problem of recovering a signal x ∈ d = ℝ d or ℂ d from one-bit quantized phaseless measurements y j = Q (∥ P j x ∥) , 1 ≤ j ≤ m , where P j : d → d are orthogonal projections and where Q : ℝ → { 0 , 1 } is a one-bit scalar quantizer. We numerically validate the performance of ICQPhase and demonstrate that it experimentally achieves mean squared error of order 1 / m 2 in a variety of settings. We provide a theoretical analysis of the algorithm for the case of rank-one projections of signals in two-dimensional real space and prove that the mean squared error is of order 1 / m 2 .
- Subjects
ALGORITHMS
- Publication
Analysis & Applications, 2023, Vol 21, Issue 1, p255
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530522400127