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Title of Journal: SIViP

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Abbravation: Signal, Image and Video Processing

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Springer London

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DOI

10.1016/0266-7681(89)90100-9

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1863-1711

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On the existence of the solution for onedimension

Authors: Corneliu Rusu Jaakko Astola
Publish Date: 2016/06/23
Volume: 11, Issue: 2, Pages: 195-202
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Abstract

We consider the discrete form of the onedimensional phase retrieval 1D DPhR problem from the point of view of input magnitude data The direct method can provide a solution to the 1D DPhR problem if certain conditions are satisfied by the input magnitude data namely the corresponding trigonometric polynomial must be nonnegative To test positivity of a trigonometric polynomial a novel DFTbased criterion is proposed We use this DFT criterion for different sets of input magnitude data to evaluate whether the direct method applied to the 1D DPhR problem leads to a solution in all explored cases

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