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

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. (c) 2017 Society of Photo-Optical Instrumentation Engineers (SPIE)