Approximation of a complex interferogram by a sum of complex exponentials: an application to phase unwrapping

Giovanni Nico; J. Fortuny

doi:10.1117/12.410655

21 December 2000 Approximation of a complex interferogram by a sum of complex exponentials: an application to phase unwrapping

Giovanni Nico, J. Fortuny

Author Affiliations +

Proceedings Volume 4173, SAR Image Analysis, Modeling, and Techniques III; (2000) https://doi.org/10.1117/12.410655
Event: Europto Remote Sensing, 2000, Barcelona, Spain

Abstract

Phase unwrapping (PU), i.e. the retrieval of absolute phases from wrapped, noisy phase measurements, is a tough problem which arises in various realms of signal processing. Generally, the adopted PU strategy consists in integrating the estimated phase gradients or instantaneous frequencies (IFs). The standard IF estimation technique used by most PU algorithms is the simple wrapping-of-the-wrapped-phase-gradient rule. However, this rule results in a strongly biased estimations as the noise level grows. The idea on which this paper relies consists in locally approximating the interferogram by a sum of complex exponentials. The algorithm described in this paper makes use of the Matrix Pencil (MP) method for estimating the parameters of these exponentials, i.e. their amplitude and frequency. The proposed algorithm is applied to the unwrapping of noisy synthetic interferograms. The results are compared with those obtained unwrapping the same interferograms by means of the classical wrapping-of-the-wrapped-phase-gradient rule.

Citation Download Citation

Giovanni Nico and J. Fortuny "Approximation of a complex interferogram by a sum of complex exponentials: an application to phase unwrapping", Proc. SPIE 4173, SAR Image Analysis, Modeling, and Techniques III, (21 December 2000); https://doi.org/10.1117/12.410655

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