On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem

C. Rusu; L. Grama; J. Astola

doi:10.1109/ISETC.2016.7781114

On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem

C. Rusu, L. Grama, J. Astola

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

3 Citations (Scopus)

Abstract

In this paper some results on positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem are presented. The closed forms of the z-transform and Fourier transform of the folded of circular autocorrelation are provided to show that whether scaling or biasing of the input magnitude data should have an effect on non-negativity. Some results to enlighten the relationship between the nearest autocorrelation method and the one-dimensional phase retrieval problem are also discussed.

Original language	English
Title of host publication	2016 12th IEEE International Symposium on Electronics and Telecommunications (ISETC)
Publisher	IEEE
Pages	289-292
Number of pages	4
ISBN (Electronic)	978-1-5090-3748-3
DOIs	https://doi.org/10.1109/ISETC.2016.7781114
Publication status	Published - 1 Oct 2016
Publication type	A4 Article in conference proceedings
Event	International Symposium on Electronics and Telecommunications - Duration: 1 Jan 2000 → …

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Conference	International Symposium on Electronics and Telecommunications
Period	1/01/00 → …

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10.1109/ISETC.2016.7781114

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title = "On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem",

abstract = "In this paper some results on positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem are presented. The closed forms of the z-transform and Fourier transform of the folded of circular autocorrelation are provided to show that whether scaling or biasing of the input magnitude data should have an effect on non-negativity. Some results to enlighten the relationship between the nearest autocorrelation method and the one-dimensional phase retrieval problem are also discussed.",

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doi = "10.1109/ISETC.2016.7781114",

language = "English",

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Rusu, C, Grama, L & Astola, J 2016, On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem. in 2016 12th IEEE International Symposium on Electronics and Telecommunications (ISETC). IEEE, pp. 289-292, International Symposium on Electronics and Telecommunications, 1/01/00. https://doi.org/10.1109/ISETC.2016.7781114

On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem. / Rusu, C.; Grama, L.; Astola, J.
2016 12th IEEE International Symposium on Electronics and Telecommunications (ISETC). IEEE, 2016. p. 289-292.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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AB - In this paper some results on positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem are presented. The closed forms of the z-transform and Fourier transform of the folded of circular autocorrelation are provided to show that whether scaling or biasing of the input magnitude data should have an effect on non-negativity. Some results to enlighten the relationship between the nearest autocorrelation method and the one-dimensional phase retrieval problem are also discussed.

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On some properties of positive trigonometric polynomials related to one-dimensional discrete phase retrieval problem

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