Weighted Kalman Filter Phase Unwrapping Algorithm Based on the Phase Derivative Variance Map

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Abstract:

The kalman filtering phase unwrapping is a state estimation problem. It can realize phase unwrapping and noise elimination at the same time, and calculate the real phase by establishing the state space model and vector observation model. In the steep terrain, the conventional kalman filtering algorithm unwrapping results are often not accurate, easy to cause the error transfer. Aiming at this problem, the weighted kalman filter phase unwrapping algorithm based on the phase derivative variance map is proposed. The values of the phase derivative variance maps are applied to determine the noise variance in the observation equation, then the weighted kalman filter is used to unwrap phase, this can increase the accuracy of the results. Finally, experiments are carried out in the InSAR data application under the condition of steep terrain, and with the conventional kalman filtering phase unwrapping algorithm are compared, the effectiveness of the proposed method is verified.

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991-995

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December 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] XU W, CUMMINGI. A region-growing algori-thm for InSAR phase unwrapping. IEEE Transactions on Geoscience and Remote Sensing, Vol. 37-3(1999), p.124-p.133.

DOI: 10.1109/36.739143

Google Scholar

[2] FLYNN T.J. Two dimensional phase unwrapp-ing with minimum weighted discontinuity. Jou-rnal of the Optical Society of America, Vol. 14-10(1997), p.2692-p.2701.

DOI: 10.1364/josaa.14.002692

Google Scholar

[3] GOLDSTEIN R M, ZERBER H A, WERNER C L. Satellite radar interferometry: two-dimensio-nal phase unwrapping[J]. Radio Science, Vol. 23-4(1988), p.713-p.720.

DOI: 10.1029/rs023i004p00713

Google Scholar

[4] PRITT M D, SHIPMAN L S. Least-squares two-dimensional phase unwrapping using FFTs. IEEE Transactions on Geoscience and Remote Sensing, Vol. 32-3(1994), p.706-p.708.

DOI: 10.1109/36.297989

Google Scholar

[5] PRITT M D. Phase unwrapping by means of multigrid techniques for interferometric SAR. IEEE Transactions on Geoscience and Remote Sensing, Vol. 34-3(1996), p.728-p.738.

DOI: 10.1109/36.499752

Google Scholar

[6] CHEN C W. Statistical-cost network-flow approaches to two-dimensional phase unwrapping for radar interferometry. Stanford University, Stanford(2001).

Google Scholar

[7] CURITS W Chen. Statistical-cost network-flow approaches to two-dimensional phase unwrapping for radar interferometry. Stanford University, Stanford, California, USA(2001).

Google Scholar

[8] O. Loffeld, R. Krämer. Phase unwrapping forSAR interferometry—A data fusion approachby Kalman filtering. In: Geoscience and Remote Sensing Symposium. IGARSS'99, 3(1999), p.1715-p.1717.

DOI: 10.1109/igarss.1999.772071

Google Scholar

[9] R. Krämer, O. Loffeld. Phase unwrapping for SAR Interferometry with Kalman Filters [C]. EUSAR'96, Königswinter, Germany(1996).

Google Scholar

[10] R. Krämer, O. Loffeld. Presentation of an improved Phase Unwrapping Algorithm based on Kalman filters combined with local slope estimation. Fringe 96, Zurich, SUISSE(1997).

Google Scholar

[11] D.C. Ghiglia and M.D. Pritt. Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software[M]. John Wiley & Sons(1998).

Google Scholar