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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2324–2329

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

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations

JOSA A, Vol. 17, Issue 12, pp. 2324-2329 (2000)

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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.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(200.0200) Optics in computing : Optics in computing

Original Manuscript: May 11, 2000
Revised Manuscript: September 11, 2000
Manuscript Accepted: September 11, 2000
Published: December 1, 2000

Tatiana Alieva and Martin J. Bastiaans, "Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform," J. Opt. Soc. Am. A 17, 2324-2329 (2000)

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