Convergence analysis of error-reduction algorithm for solving of the extended one-dimensional discrete phase retrieval problem

Corneliu Rusu, Jaakko Astola

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

    3 Citations (Scopus)

    Abstract

    The iterative methods are well-known approaches to solve the one-dimensional phase retrieval problem. Amongst them, the error-reduction algorithm is often used since it can easily implement support constraints. Unfortunately this method often stagnates. Recently we have formulated the extended form of the one-dimensional discrete phase retrieval problem and we have assumed that the stagnation can be avoided by oversampling. Simulations have indicated that the conjecture is true. In this work we prove the convergence of the error-reduction algorithm in the proposed extended one-dimensional discrete phase retrieval framework.

    Original languageEnglish
    Title of host publicationISSCS 2017 - International Symposium on Signals, Circuits and Systems
    PublisherIEEE
    ISBN (Electronic)9781538606742
    DOIs
    Publication statusPublished - 12 Sept 2017
    Publication typeA4 Article in conference proceedings
    EventINTERNATIONAL SYMPOSIUM ON SIGNALS, CIRCUITS & SYSTEMS -
    Duration: 1 Jan 1900 → …

    Conference

    ConferenceINTERNATIONAL SYMPOSIUM ON SIGNALS, CIRCUITS & SYSTEMS
    Period1/01/00 → …

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Electrical and Electronic Engineering
    • Signal Processing

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