Signal tracking approach for phase estimation in digital holographic interferometry

Citations Over TimeTop 11% of 2014 papers

Abstract

In this research work, we introduce a novel approach for phase estimation from noisy reconstructed interference fields in digital holographic interferometry using an unscented Kalman filter. Unlike conventionally used unwrapping algorithms and piecewise polynomial approximation approaches, this paper proposes, for the first time to the best of our knowledge, a signal tracking approach for phase estimation. The state space model derived in this approach is inspired from the Taylor series expansion of the phase function as the process model, and polar to Cartesian conversion as the measurement model. We have characterized our approach by simulations and validated the performance on experimental data (holograms) recorded under various practical conditions. Our study reveals that the proposed approach, when compared with various phase estimation methods available in the literature, outperforms at lower SNR values (i.e., especially in the range 0-20 dB). It is demonstrated with experimental data as well that the proposed approach is a better choice for estimating rapidly varying phase with high dynamic range and noise.

Related Papers

• → Piecewise polynomial approximation based on taylor series with efficient realization using Farrow structure(2009)5 cited
• → High precision Taylor Expansion and Piecewise Calculation Square Root algorithm of microcomputer protection(2019)1 cited
• The Extrapolated Taylor Model.(2011)
• → Digital Holographic Interferometry: Principles, and Applications to Deformation Measurement(2012)2 cited
• → Digital Holographic Interferometry and Its Applications(2012)