Compressive phase retrieval of sparse bandlimited signals

2015/09/27 by Çağkan Yapar, Volker Pohl, Yapar, Çağkan +3
Computer Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Digital Holography and Microscopy #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical measurement and interference techniques

paper · pdf · doi:10.48550/arxiv.1509.08105

openalex publication_date 2015/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This contribution proposes a two stage strategy to allow for phase retrieval in state of the art sub-Nyquist sampling schemes for sparse multiband signals. The proposed strategy is based on data acquisition via modulated wideband converters known from sub-Nyquist sampling. This paper describes how the modulators have to be modified such that signal recovery from sub-Nyquist amplitude samples becomes possible and a corresponding recovery algorithm is given which is computational efficient. In addition, the proposed strategy is fairly general, allowing for several constructions and recovery algorithms.

Citations

• Saving phase: Injectivity and stability for phase retrieval

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