Phase retrieval via smoothed amplitude flow
نویسندگان
چکیده
منابع مشابه
Compressive Phase Retrieval via Reweighted Amplitude Flow
The problem of reconstructing a sparse signal vector from magnitude-only measurements (a.k.a., compressive phase retrieval), emerges naturally in diverse applications, but it is NP-hard in general. Building on recent advances in nonconvex optimization, this paper puts forth a new algorithm that is termed compressive reweighted amplitude flow and abbreviated as CRAF, for compressive phase retrie...
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Phase retrieval(PR) problem is a kind of ill-condition inverse problem which can be found in various of applications. Utilizing the sparse priority, an algorithm called SWF(Sparse Wirtinger Flow) is proposed in this paper to deal with sparse PR problem based on the Wirtinger flow method. SWF firstly recovers the support of the signal and then updates the evaluation by hard thresholding method w...
متن کاملPhase Retrieval Via Reweighted Wirtinger Flow
Phase retrieval (PR) is a kind of ill-condition inverse problem which can be found in various applications. Based on the Wirtinger flow (WF) method, a reweighted Wirtinger flow (RWF) method is proposed to deal with the PR problem. In a nutshell, RWF searches the global optimum by solving a series of sub-PR problems with changing weights. Theoretical analyses illustrate that the RWF has a geomet...
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In the phase retrieval problem, an unknown vector is to be recovered given quadratic measurements. This problem has received considerable attention in recent times. In this paper, we present an algorithm to solve a nonconvex formulation of the phase retrieval problem, that we call Incremental Truncated Wirtinger Flow. Given random Gaussian sensing vectors, we prove that it converges linearly to...
متن کاملPhase retrieval via SLM phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude
1 The 4f optical setup is considered with a wave …eld modulation by SLM (spatial light modulator) located in the focal plane of the …rst lens. Phase as well as amplitude of the wave …eld are reconstructed from noisy multiple intensity observations. The reconstruction is optimal due to a constrained maximum likelihood formulation of the problem. The proposed algorithm is iterative with decouplin...
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ژورنال
عنوان ژورنال: Signal Processing
سال: 2020
ISSN: 0165-1684
DOI: 10.1016/j.sigpro.2020.107719