On fractional Fourier transform moments

T. Alieva; M.J. Bastiaans

doi:10.1109/97.873570

On fractional Fourier transform moments

T. Alieva, M.J. Bastiaans

Research output: Contribution to journal › Article › Academic › peer-review

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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 language	English
Pages (from-to)	320-323
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	7
Issue number	11
DOIs	https://doi.org/10.1109/97.873570
Publication status	Published - 2000

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title = "On fractional Fourier transform moments",

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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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.

U2 - 10.1109/97.873570

DO - 10.1109/97.873570

M3 - Article

SN - 1070-9908

VL - 7

SP - 320

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 11

ER -

On fractional Fourier transform moments

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