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Regularized least squares phase sampling interferometry
Author(s) -
Juan Antonio Quiroga,
J. C. Estrada,
Manuel Servı́n,
Javier Vargas
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.005002
Subject(s) - interferometry , quadrature (astronomy) , computer science , sampling (signal processing) , filter (signal processing) , least squares function approximation , missing data , optics , phase (matter) , algorithm , mathematics , physics , statistics , computer vision , quantum mechanics , estimator , machine learning
In phase sampling interferometry, existing temporal analysis methods are sensitive to border effects and cannot deal with missing data. In this work we propose a quadrature filter that allows a reliable dynamic phase measurement for every sample, even in the cases involving few samples or missing data. The method is based on the use of a regularized least squares cost function that enforces the quadrature character of the filter. A comparison with existing techniques shows the effectiveness of the proposed method.

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