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- W3011066484 abstract "We consider the problem of conjugate phase retrieval in Paley-Wiener space $PW_{pi}$. The goal of conjugate phase retrieval is to recover a signal $f$ from the magnitudes of linear measurements up to unknown phase factor and unknown conjugate, meaning $f(t)$ and $overline{f(t)}$ are not necessarily distinguishable from the available data. We show that conjugate phase retrieval can be accomplished in $PW_{pi}$ by sampling only on the real line by using structured convolutions. We also show that conjugate phase retrieval can be accomplished in $PW_{pi}$ by sampling both $f$ and $f^{prime}$ only on the real line. Moreover, we demonstrate experimentally that the Gerchberg-Saxton method of alternating projections can accomplish the reconstruction from vectors that do conjugate phase retrieval in finite dimensional spaces. Finally, we show that generically, conjugate phase retrieval can be accomplished by sampling at three times the Nyquist rate, whereas phase retrieval requires sampling at four times the Nyquist rate." @default.
- W3011066484 created "2020-03-23" @default.
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- W3011066484 date "2019-07-01" @default.
- W3011066484 modified "2023-10-18" @default.
- W3011066484 title "Conjugate Phase Retrieval in Paley-Wiener Space" @default.
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- W3011066484 doi "https://doi.org/10.1109/sampta45681.2019.9030944" @default.
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