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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 14, Iss. 20 — Oct. 15, 1989
  • pp: 1101–1103

Phase-gradient algorithm as an optimal estimator of the phase derivative

P. H. Eichel and C. V. Jakowatz, Jr.  »View Author Affiliations


Optics Letters, Vol. 14, Issue 20, pp. 1101-1103 (1989)
http://dx.doi.org/10.1364/OL.14.001101


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Abstract

The phase-gradient algorithm represents a powerful new signal-processing technique with applications to aperture-synthesis imaging. These include, for example, synthetic-aperture-radar phase correction and stellar-image reconstruction. The algorithm combines redundant information present in the data to arrive at an estimate of the phase derivative. We show that the estimator is in fact a linear, minimum-variance estimator of the phase derivative.

© 1989 Optical Society of America

History
Original Manuscript: May 18, 1989
Manuscript Accepted: July 26, 1989
Published: October 15, 1989

Citation
P. H. Eichel and C. V. Jakowatz, "Phase-gradient algorithm as an optimal estimator of the phase derivative," Opt. Lett. 14, 1101-1103 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-20-1101


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References

  1. P. H. Eichel, D. C. Ghiglia, C. V. Jakowatz, Opt. Lett. 14, 1 (1989). [CrossRef] [PubMed]
  2. G. J. M. Aitken, R. Johnson, R. Houtman, Opt. Commun. 56, 379 (1986). [CrossRef]
  3. D. C. Ghiglia, G. A. Mastin, Opt. Lett. 14, 1104 (1989). [CrossRef] [PubMed]
  4. D. C. Ghiglia, L. A. Romero, Opt. Lett. 14, 1107 (1989). [CrossRef] [PubMed]
  5. J. W. Goodman, J. Opt. Soc. Am. 66, 1145 (1976). [CrossRef]
  6. P. H. Eichel, “The phase gradient autofocus algorithm: an optimal estimator of the phase derivative,” Rep. SAND89-0761 (Sandia National Laboratories, Albuquerque, N.M., 1989).
  7. J. Melsa, D. Cohn, Decision and Estimation Theory (McGraw-Hill, New York, 1978).

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