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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 9, Iss. 10 — Oct. 1, 1992
  • pp: 1740–1748

Design and assessment of symmetrical phase-shifting algorithms

K. G. Larkin and B. F. Oreb  »View Author Affiliations


JOSA A, Vol. 9, Issue 10, pp. 1740-1748 (1992)
http://dx.doi.org/10.1364/JOSAA.9.001740


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Abstract

Conventional phase-shifting algorithms based on a least-squares estimate use N samples over an incomplete period of the sampled waveform. We introduce a class of phase-shifting algorithms having N + 1 samples symmetrically disposed over one full period of the sampled waveform. Fourier analysis techniques are used to derive these algorithms and modify them to improve their performance in the presence of phase-shift errors. The algorithms can be used in phase measurement systems having periodic, but not necessarily sinusoidal, waveforms.

© 1992 Optical Society of America

History
Original Manuscript: April 2, 1992
Manuscript Accepted: May 7, 1992
Published: October 1, 1992

Citation
K. G. Larkin and B. F. Oreb, "Design and assessment of symmetrical phase-shifting algorithms," J. Opt. Soc. Am. A 9, 1740-1748 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-10-1740


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References

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