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Polynomial Wigner–Ville distribution-based method for direct phase derivative estimation from optical fringes

G Rajshekhar, Sai Siva Gorthi and Pramod Rastogi

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This paper proposes a polynomial Wigner–Ville distribution-based method to directly estimate phase derivative from a single fringe pattern. In the proposed method, we evaluate the polynomial Wigner–Ville distribution along each row/column of the given fringe pattern. The peak of the polynomial Wigner–Ville distribution is used as the phase derivative estimator. To improve the robustness of the distribution against the artifacts or interference terms, a windowed form of the polynomial Wigner–Ville distribution is used. Simulation and experimental results are presented which validate the method's applicability for direct phase derivative estimation.


PACS

07.60.Ly Interferometers

02.50.Ng Distribution theory and Monte Carlo studies

02.10.De Algebraic structures and number theory

42.25.Hz Interference

Subjects

Mathematical physics

Computational physics

Instrumentation and measurement

Optics, quantum optics and lasers

Dates

Issue 12 (December 2009)

Received 28 July 2009, accepted for publication 27 August 2009

Published 21 September 2009



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