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Phase retrieval by constrained power inflation and signum flipping
Author(s) -
Laganà A. R.,
Morabito A. F.,
Isernia T.
Publication year - 2016
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/2016rs006059
Subject(s) - phase retrieval , robustness (evolution) , fourier transform , inflation (cosmology) , computer science , simple (philosophy) , spectral density , algorithm , phase (matter) , mathematics , physics , telecommunications , mathematical analysis , theoretical physics , quantum mechanics , biochemistry , chemistry , philosophy , epistemology , gene
In this paper we consider the problem of retrieving a signal from the modulus of its Fourier transform (or other suitable transformations) and some additional information, which is also known as “Phase Retrieval” problem. The problem arises in many areas of applied Sciences such as optics, electron microscopy, antennas, and crystallography. In particular, we introduce a new approach, based on power inflation and tunneling, allowing an increased robustness with respect to the possible occurrence of false solutions. Preliminary results are presented for the simple yet relevant case of one‐dimensional arrays and noisy data.