OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 34, Iss. 20 — Oct. 15, 2009
  • pp: 3151–3153

Adaptive window Wigner–Ville-distribution-based method to estimate phase derivative from optical fringes

G. Rajshekhar, Sai Siva Gorthi, and Pramod Rastogi  »View Author Affiliations

Optics Letters, Vol. 34, Issue 20, pp. 3151-3153 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (378 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We introduce an adaptive window Wigner–Ville-distribution-based method to directly estimate the phase derivative from a single fringe pattern. In the proposed method, the phase derivative is estimated by using the peak detection of the pseudo-Wigner–Ville distribution for a set of different window lengths. Then the optimal window length is selected from the set by resolving the estimator’s bias variance trade-off, using the intersection of confidence intervals rule. Finally, the phase derivative estimate corresponding to the optimum window is selected. Simulation and experimental results are presented to demonstrate the method’s applicability for the phase derivative estimation.

© 2009 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(090.1995) Holography : Digital holography

ToC Category:

Original Manuscript: July 6, 2009
Revised Manuscript: September 9, 2009
Manuscript Accepted: September 18, 2009
Published: October 9, 2009

G. Rajshekhar, Sai Siva Gorthi, and Pramod Rastogi, "Adaptive window Wigner-Ville-distribution-based method to estimate phase derivative from optical fringes," Opt. Lett. 34, 3151-3153 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. 72, 156 (1982). [CrossRef]
  2. Y. Surrel, Appl. Opt. 35, 51 (1996). [CrossRef] [PubMed]
  3. Q. Kemao, S. H. Soon, and A. Asundi, Appl. Opt. 42, 6504 (2003). [CrossRef] [PubMed]
  4. K. Qian, S. H. Soon, and A. Asundi, Opt. Lett. 28, 1657 (2003). [CrossRef] [PubMed]
  5. C. J. Tay, C. Quan, W. Sun, and X. Y. He, Opt. Commun. 280, 327 (2007). [CrossRef]
  6. C. A. Sciammarella and T. Kim, Exp. Mech. 45, 393 (2005). [CrossRef]
  7. A. Federico and G. H. Kaufmann, Appl. Opt. 42, 7066 (2003). [CrossRef] [PubMed]
  8. L. Cohen, Time Frequency Analysis (Prentice Hall, 1995).
  9. V. Katkovnik and L. Stankovic, IEEE Trans. Signal Process. 45, 2147 (1997).
  10. S. C. Sekhar and T. V. Sreenivas, Signal Process. 86, 716 (2006). [CrossRef]
  11. J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, Opt. Commun. 197, 43 (2001). [CrossRef]

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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited