Requirements for Model-based Polarimetric Decompositions

Several authors have proposed decompositions of measured polarimetric covariance matrices into the weighted sums of individual covariance matrices that represent known scattering models. In this paper we critically examine some minimum requirements that these model-based polarimetric scattering deco...

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Bibliographic Details
Main Authors: van Zyl, J.J., Yunjin Kim, Arii, M.
Format: Conference Proceeding
Language:English
Subjects:
Antenna measurements
Covariance matrix
decomposition
Eigenvalues and eigenfunctions
polarimetry
Polarization
Radar antennas
Radar measurements
Radar polarimetry
Radar scattering
Receiving antennas
Transmitting antennas
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Summary:Several authors have proposed decompositions of measured polarimetric covariance matrices into the weighted sums of individual covariance matrices that represent known scattering models. In this paper we critically examine some minimum requirements that these model-based polarimetric scattering decompositions must satisfy. Starting with the definition of the covariance matrix, we show that a necessary requirement for these decompositions is that the eigenvalues of the individual covariance matrices must be non-negative. We then show with examples that this is not guaranteed for some of the proposed decompositions. Finally, we propose a method of decomposition that would ensure that the eigenvalues of the individual covariance matrices would be non-negative.
ISSN:2153-6996
2153-7003
DOI:10.1109/IGARSS.2008.4780117