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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 19 — Jul. 1, 2014
  • pp: 4150–4157

Signal tracking approach for phase estimation in digital holographic interferometry

Rahul G. Waghmare, Deepak Mishra, G. R. K. Sai Subrahmanyam, Earu Banoth, and Sai Siva Gorthi  »View Author Affiliations


Applied Optics, Vol. 53, Issue 19, pp. 4150-4157 (2014)
http://dx.doi.org/10.1364/AO.53.004150


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Abstract

In this research work, we introduce a novel approach for phase estimation from noisy reconstructed interference fields in digital holographic interferometry using an unscented Kalman filter. Unlike conventionally used unwrapping algorithms and piecewise polynomial approximation approaches, this paper proposes, for the first time to the best of our knowledge, a signal tracking approach for phase estimation. The state space model derived in this approach is inspired from the Taylor series expansion of the phase function as the process model, and polar to Cartesian conversion as the measurement model. We have characterized our approach by simulations and validated the performance on experimental data (holograms) recorded under various practical conditions. Our study reveals that the proposed approach, when compared with various phase estimation methods available in the literature, outperforms at lower SNR values (i.e., especially in the range 0–20 dB). It is demonstrated with experimental data as well that the proposed approach is a better choice for estimating rapidly varying phase with high dynamic range and noise.

© 2014 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: March 26, 2014
Revised Manuscript: May 21, 2014
Manuscript Accepted: May 21, 2014
Published: June 23, 2014

Citation
Rahul G. Waghmare, Deepak Mishra, G. R. K. Sai Subrahmanyam, Earu Banoth, and Sai Siva Gorthi, "Signal tracking approach for phase estimation in digital holographic interferometry," Appl. Opt. 53, 4150-4157 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-19-4150

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