Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval
Abstract
We demonstrate that a fourfold redundancy in the measurements is sufficient for uniqueness in sampled Gabor phase retrieval with bandlimited signals and thereby draw a parallel between the sampled Gabor phase retrieval problem and finite-dimensional phase retrieval problems. Precisely, we show that sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval for signals in the Paley-Wiener space. Show more
Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Phase retrieval; Gabor transform; 4M-4 conjecture; Nyquist-Shannon sampling; Müntz-type resultOrganisational unit
09603 - Alaifari, Rima / Alaifari, Rima
Funding
184698 - Mathematical analysis of the phase retrieval problem (SNF)
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/589831
More
Show all metadata
ETH Bibliography
yes
Altmetrics