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Positive trigonometric polynomials and one-dimensional discrete phase retrieval problem

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


Original languageEnglish
Title of host publication2016 24th European Signal Processing Conference (EUSIPCO)
Number of pages5
ISBN (Electronic)978-0-9928-6265-7
Publication statusPublished - 29 Aug 2016
Publication typeA4 Article in a conference publication
EventEuropean Signal Processing Conference -
Duration: 1 Jan 1900 → …

Publication series

ISSN (Electronic)2076-1465


ConferenceEuropean Signal Processing Conference
Period1/01/00 → …


In this paper some results on Schur transform are reviewed to address the problem of one-dimensional discrete phase retrieval. The goal is to provide a test whether a sequence of input magnitude data gives a solution to one-dimensional discrete phase retrieval problem. It has been previously shown that this issue is related to the nonnegativity of trigonometric polynomials. The proposed method is similar to the table procedure for counting the multiplicities of zeros on unit circle. Examples and numerical results are also provided to indicate that the problem of one-dimensional discrete phase retrieval often does not have a solution.


  • Correlation, Discrete Fourier transforms, Europe, Signal processing, Signal processing algorithms

Publication forum classification

Field of science, Statistics Finland