The eigenvector-eigenvalue identity applied to fast calculation of polSAR scattering characterization

Unlike the original Cloude–van Zyl decomposition of reflection symmetric polarimetric synthetic aperture radar (polSAR) data, a recently suggested version for full/quad pol data relies on Cloude–Pottier mean alpha angle ( ${\bar {\alpha }}$ ) to characterize scattering mechanism. can be calculated from eigenvectors coherency matrix. By means eigenvector-eigenvalue identity (EEI), we avoid calculation eigenvectors. The EEI finds by eigenvalues notation="LaTeX">$3\,\,{\times }$ 3 matrix and its notation="LaTeX">$2\,\,{\times 2 minor(s) only is well suited fast array-based computer implementation. In this letter with focus computational aspects, demonstrate EEI-based determination X-band Flugzeug (F-SAR) image over Vejers, Denmark, including detailed example calculations code.