The benefits of side information for structured phase retrieval

M. Salman Asif, Chinmay Hegde

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Phase retrieval, or signal recovery from magnitude-only measurements, is a challenging signal processing problem. Recent progress has revealed that measurement- and computational-complexity challenges can be alleviated if the underlying signal belongs to certain low-dimensional model families, including sparsity, low-rank, or neural generative models. However, the remaining bottleneck in most of these approaches is the requirement of a carefully chosen initial signal estimate. In this paper, we assume that a portion of the signal is already known a priori as”side information” (this assumption is natural in applications such as holographic coherent diffraction imaging). When such side information is available, we show that a much simpler initialization can provably succeed with considerably reduced costs. We supplement our theory with a range of simulation results.

    Original languageEnglish (US)
    Title of host publication28th European Signal Processing Conference, EUSIPCO 2020 - Proceedings
    PublisherEuropean Signal Processing Conference, EUSIPCO
    Pages775-778
    Number of pages4
    ISBN (Electronic)9789082797053
    DOIs
    StatePublished - Jan 24 2021
    Event28th European Signal Processing Conference, EUSIPCO 2020 - Amsterdam, Netherlands
    Duration: Aug 24 2020Aug 28 2020

    Publication series

    NameEuropean Signal Processing Conference
    Volume2021-January
    ISSN (Print)2219-5491

    Conference

    Conference28th European Signal Processing Conference, EUSIPCO 2020
    CountryNetherlands
    CityAmsterdam
    Period8/24/208/28/20

    ASJC Scopus subject areas

    • Signal Processing
    • Electrical and Electronic Engineering

    Fingerprint Dive into the research topics of 'The benefits of side information for structured phase retrieval'. Together they form a unique fingerprint.

    Cite this