OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 11 — Apr. 10, 1998
  • pp: 2142–2144

Proposal for Optical Implementation of the Wigner Distribution Function

Gal Shabtay, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations


Applied Optics, Vol. 37, Issue 11, pp. 2142-2144 (1998)
http://dx.doi.org/10.1364/AO.37.002142


View Full Text Article

Acrobat PDF (154 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The Wigner distribution function (WDF) offers comprehensive insight into a signal, for it employs both space (or time) and frequency simultaneously. Whenever optical signals are involved, the importance of the WDF is significantly higher because of the diffraction (or dispersion) behavior of optical signals. Novel optical implementations of the WDF and of the inverse Wigner transform are proposed. Both implementations are based on bulk optics elements incorporating joint transform correlator architecture. A similar implementation is derived for the ambiguity function, which is related to the WDF through Fourier transformation.

© 1998 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4790) Fourier optics and signal processing : Spectrum analysis
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

Citation
Gal Shabtay, David Mendlovic, and Zeev Zalevsky, "Proposal for Optical Implementation of the Wigner Distribution Function," Appl. Opt. 37, 2142-2144 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-11-2142


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. J. C. Wood and D. T. Barry, “Tomographic time–frequency analysis and its application toward time-varying filtering and adaptive kernel design for multicomponent linear-FM signals,” IEEE Trans. Signal Process. 42, 2094–2103 (1994).
  2. F. Hlawatsch and G. F. Boudreaux-Bartels, “Linear and quadratic time–frequency signal representations,” IEEE Signal Process. Mag. 9(2), 21–67 (1992).
  3. M. J. Bastiaans, “The Wigner distribution function applied to optical signals and systems,” Opt. Commun. 25, 26–30 (1978).
  4. K. H. Brenner and A. W. Lohmann, “Wigner distribution function display of complex 1-D signals,” Opt. Commun. 42, 310–314 (1982).
  5. H. Weber, “Wave optical analysis of the phase space analyser,” J. Mod. Opt. 39, 543–559 (1992).
  6. D. Dragoman and M. Dragoman, “Wigner-transform implementation in the time-frequency domain,” Appl. Opt. 35, 7025–7030 (1996).
  7. C. S. Weaver and J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248–1250 (1966).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited