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Phase Retrieval from 4 N −4 Measurements: A Proof for Injectivity
Author(s) -
Philipp Friedrich
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410397
Subject(s) - phase retrieval , fourier transform , phase (matter) , degree (music) , mathematics , proof of concept , chemistry , combinatorics , physics , computer science , mathematical analysis , organic chemistry , acoustics , operating system
We prove by means of elementary methods that phase retrieval of complex polynomials p of degree less than N is possible with 4 N − 4 phaseless Fourier measurements of p and p ′. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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