On fractional Fourier transform moments

T. Alieva, M.J. Bastiaans

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56 Citations (Scopus)
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Abstract

Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed. The connection between the local moments and the angle derivative of the fractional power spectra is established; this permits to solve the phase retrieval problem if only two close fractional power spectra are known.
Original languageEnglish
Pages (from-to)320-323
Number of pages4
JournalIEEE Signal Processing Letters
Volume7
Issue number11
DOIs
Publication statusPublished - 2000

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Fractional Fourier Transform
Fractional Powers
Power spectrum
Power Spectrum
Fourier transforms
Moment
Ambiguity Function
Phase Retrieval
Signal Analysis
Polar coordinates
Signal analysis
Equality
Derivatives
Angle
Derivative

Cite this

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abstract = "Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed. The connection between the local moments and the angle derivative of the fractional power spectra is established; this permits to solve the phase retrieval problem if only two close fractional power spectra are known.",
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On fractional Fourier transform moments. / Alieva, T.; Bastiaans, M.J.

In: IEEE Signal Processing Letters, Vol. 7, No. 11, 2000, p. 320-323.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Alieva, T.

AU - Bastiaans, M.J.

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AB - Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed. The connection between the local moments and the angle derivative of the fractional power spectra is established; this permits to solve the phase retrieval problem if only two close fractional power spectra are known.

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DO - 10.1109/97.873570

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

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