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An Optimal Nonnegative Eigenvalue Decomposition for the Freeman and Durden Three-Component Scattering Model

Lim, Yu Xian and Burgin, Mariko S. and van Zyl, Jakob J. (2017) An Optimal Nonnegative Eigenvalue Decomposition for the Freeman and Durden Three-Component Scattering Model. IEEE Transactions on Geoscience and Remote Sensing, 55 (4). pp. 2167-2176. ISSN 0196-2892.

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Model-based decomposition allows the physical interpretation of polarimetric radar scattering in terms of various scattering mechanisms. A three-component decomposition proposed by Freeman and Durden has been popular, though significant shortcomings have been identified. In particular, it can result in negative eigenvalues for the component terms and the remainder matrix, hence violating fundamental requirements for physically meaningful decompositions. In addition, since the algorithm solves for the canopy term first, the contribution of the canopy is often over-estimated. In this paper, we show how to determine the parameters for the Freeman-Durden model in a way that minimizes the total power in the remainder matrix without favoring any individual component in the model, while simultaneously satisfying the constraints of nonnegative eigenvalues. We illustrate our analytical solution by comparison with the Freeman-Durden algorithm, as well as the nonnegative eigenvalue decomposition (NNED) proposed by van Zyl et al. The results show that this optimum algorithm generally assigns less power to the volume scattering than either the original Freeman-Durden or the NNED algorithms.

Item Type:Article
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URLURL TypeDescription
Lim, Yu Xian0000-0002-3777-7986
Burgin, Mariko S.0000-0002-2410-9727
Additional Information:© 2016 IEEE. Manuscript received June 3, 2016; revised August 17, 2016; accepted November 23, 2016. This work was supported in part by the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. The authors would like to thank Y. S. Soh, J. Pang, and V. Chandrasekaran for helpful mathematics discussions. The anonymous reviewers are thanked for their comments and suggestions.
Funding AgencyGrant Number
Subject Keywords:Model-based decomposition, optimal nonnegative eigenvalue decomposition (NNED), radar polarimetry
Issue or Number:4
Record Number:CaltechAUTHORS:20170130-160850948
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73833
Deposited By: Kristin Buxton
Deposited On:31 Jan 2017 15:50
Last Modified:03 Oct 2019 16:31

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