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- W1913029141 abstract "We study phase retrieval from magnitude measurements of an unknown signal as an algebraic estimation problem. Indeed, phase retrieval from rank-one and more general linear measurements can be treated in an algebraic way. It is verified that a certain number of generic rank-one or generic linear measurements are sufficient to enable signal reconstruction for generic signals, and slightly more generic measurements yield reconstructability for all signals. Our results solve a few open problems stated in the recent literature. Furthermore, we show how the algebraic estimation problem can be solved by a closed-form algebraic estimation technique, termed ideal regression, providing non-asymptotic success guarantees." @default.
- W1913029141 created "2016-06-24" @default.
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- W1913029141 date "2014-02-17" @default.
- W1913029141 modified "2023-09-27" @default.
- W1913029141 title "The Algebraic Approach to Phase Retrieval and Explicit Inversion at the Identifiability Threshold" @default.
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