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research article

High-Resolution Frequency Estimation Technique for Recovering Phase Distribution in Interferometers

Patil, A.  
•
Rastogi, P.  
•
Langoju, R.V.V.L.  
2005
Optics Letters

An integral approach to phase measurement is presented. First, the use of a high-resolution technique for the pixelwise detection of phase steps is proposed. Next, the robustness of the algorithm that is developed is improved by incorporation of a denoising procedure during spectral estimation. The pixelwise knowledge of phase steps is then applied to the Vandermonde system of equations for retrieval of phase values at each pixel point. Conceptually, our proposal involves the design of an annihilating filter that has zeros at the frequencies associated with the polynomial that describes the fringe intensity. The parametric estimation of this annihilating filter yields the desired spectral information embedded in the signal, which in our case represents the phase steps. The proposed method offers the advantage of extracting the interference phase of nonsinusoidal waveforms in the presence of miscalibration error of the piezoelectric transducer. In addition, in contrast to previously reported methods, this method does not require the application of selective phase steps between data frames for nonsinusoidal waveforms.

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Type
research article
DOI
10.1364/OL.30.000391
Web of Science ID

WOS:000226925700015

Author(s)
Patil, A.  
Rastogi, P.  
Langoju, R.V.V.L.  
Date Issued

2005

Publisher

OSA

Published in
Optics Letters
Volume

30

Issue

4

Start page

391

End page

393

Subjects

Phase Recovery

URL

URL

http://bigwww.epfl.ch/publications/patil0501.html

URL

http://bigwww.epfl.ch/publications/patil0501.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

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Available on Infoscience
November 30, 2005
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/220743
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