On the existence of the solution for one-dimensional discrete phase retrieval problem
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Yksityiskohdat
| Alkuperäiskieli | Englanti |
|---|---|
| Sivut | 195–202 |
| Sivumäärä | 8 |
| Julkaisu | Signal, Image and Video Processing |
| Vuosikerta | 11 |
| Numero | 2 |
| DOI - pysyväislinkit | |
| Tila | Julkaistu - 2017 |
| OKM-julkaisutyyppi | A1 Alkuperäisartikkeli |
Tiivistelmä
We consider the discrete form of the one-dimensional phase retrieval (1-D DPhR) problem from the point of view of input magnitude data. The direct method can provide a solution to the 1-D 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 DFT-based criterion is proposed. We use this DFT criterion for different sets of input magnitude data to evaluate whether the direct method applied to the 1-D DPhR problem leads to a solution in all explored cases.