Phase retrieval by projections in Rⁿ requires 2n-2 projections (This paper has a gap)

2020/12/19 by Peter G. Casazza, Casazza, Peter G., Dorsa Ghoreishi +1
Materials Science · Physics and Astronomy · #42C15 #Advanced X-ray Imaging Techniques #Electron and X-Ray Spectroscopy Techniques #FOS: Mathematics #Functional Analysis (math.FA) #X-ray Spectroscopy and Fluorescence Analysis

paper · pdf · doi:10.48550/arxiv.2012.10738

openalex publication_date 2020/12/19 · openalex created_date 2021/05/24 · openalex updated_date 2026/07/28

Abstract

We will answer the most significant open problem in real phase retrieval by projections by showing it requires at least 2n-2 projections to do phase retrieval in \RRⁿ.

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