Wiener Teager–Kaiser energy method for phase derivative estimation: application to speckle interferometry

Desire Muhire; Yassine Tounsi; Sara Zada; Ahmed Siari; Abdelkrim Nassim

doi:10.1117/1.OE.56.11.114101

6 November 2017 Wiener Teager–Kaiser energy method for phase derivative estimation: application to speckle interferometry

Desire Muhire, Yassine Tounsi, Sara Zada, Ahmed Siari, Abdelkrim Nassim

Author Affiliations +

Optical Engineering, Vol. 56, Issue 11, 114101 (November 2017). https://doi.org/10.1117/1.OE.56.11.114101

Abstract

We present a Wiener Teager–Kaiser approach for phase derivative estimation from a single speckle correlation fringe. In principle, the Teager–Kaiser operator estimates the energy of the fringe pattern and extracts its phase derivatives using an energy separation algorithm. However, in the estimation of the energy, this operator presents a computation error mainly due to a high frequency component. In this work, we addressed this error in mean square error sense by applying the Wiener filter on the operator prior to phase derivative computation. The performance of our proposed method on simulated and real fringe improves significantly the accuracy of the Teager–Kaiser operator.

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Desire Muhire, Yassine Tounsi, Sara Zada, Ahmed Siari, and Abdelkrim Nassim "Wiener Teager–Kaiser energy method for phase derivative estimation: application to speckle interferometry," Optical Engineering 56(11), 114101 (6 November 2017). https://doi.org/10.1117/1.OE.56.11.114101

Received: 9 August 2017; Accepted: 17 October 2017; Published: 6 November 2017

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