On stability of generalized phase retrieval and generalized affine phase retrieval
نویسندگان
چکیده
منابع مشابه
Phase retrieval in generalized optical interferometry systems.
Modal analysis of an optical field via generalized interferometry (GI) is a novel technique that treats said field as a linear superposition of transverse modes and recovers the amplitudes of modal weighting coefficients. We use phase retrieval by nonlinear optimization to recover the phase of these modal weighting coefficients. Information diversity increases the robustness of the algorithm by...
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An iterative phase retrieval algorithm based on the maximum entropy method (MEM) is presented. Introducing a new generalized information measure, we derive a novel class of algorithms which includes the conventionally used error reduction algorithm and a MEM-type iterative algorithm which is presented for the first time. These different phase retrieval methods are unified on the basis of the fr...
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In this paper, we develop a framework of generalized phase retrieval in which one aims to reconstruct a vector x in R or C through quadratic samples x∗A1x, . . . ,x ∗ANx. The generalized phase retrieval includes as special cases the standard phase retrieval as well as the phase retrieval by orthogonal projections. We first explore the connections among generalized phase retrieval, low-rank matr...
متن کاملPhase Retrieval: Stability and Recovery Guarantees
Article history: Received 16 November 2012 Revised 31 July 2013 Accepted 17 August 2013 Available online xxxx Communicated by Bruno Torresani
متن کاملStability of Frames Which Give Phase Retrieval
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilbert space of dimension n allows for vector reconstruction from magnitudes of its coefficients, then there is a perturbation bound ρ so that any frame set within ρ from F has the same property. In par...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2019
ISSN: 1029-242X
DOI: 10.1186/s13660-019-1968-z