Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)

Abstract

The ambiguity function and Cohen's class of bilinear phase-space distributions are represented in a quasi-polar coordinate system instead of in a Cartesian system. Relationships between these distributions and the fractional Fourier transform are derived; in particular, derivatives of the ambiguity function are related to moments of the fractional power spectra. A simplification is achieved for the description of underspread signals, for optical beam characterization, and for the generation of signal-adaptive phase-space distributions.
Original languageEnglish
Pages (from-to)2324-2329
Number of pages6
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume17
Issue number12
DOIs
Publication statusPublished - 2000

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