Scattering Mixture Analysis in Polarimetric SAR Data Using the Gershgorin Circle Theorem

This paper utilizes the algebraic property of the Gershgorin circle theorem to explore the association between the orthogonal odd- and even-bounce scattering mechanisms. First, we use two unitary transformations to decouple this association, thereby reducing the ambiguity in the underlying scattering mechanisms. We then derive a descriptor utilizing the properties of circles in the Gershgorin theorem to gauge the mixture property of coherent type scattering in a pixel. We explain and validate the proposed findings with suitable experiments and examples from the full polarimetric L-band PiSAR Tomakomai dataset. The results demonstrate the effectiveness of the proposed approach in characterizing deterministic scattering mixtures.