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

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Abstract

Unlike the original Cloude-van Zyl decomposition of reflection symmetric polSAR data, a recently suggested version of the decomposition for full/quad pol data relies on the Cloude-Pottier mean alpha angle (ᾱ) to characterize the scattering mechanism. ᾱ can be calculated from the eigenvectors of the coherency matrix. By means of the eigenvector-eigenvalue identity (EEI) we can avoid the calculation of the eigenvectors. The EEI finds ᾱ by means of eigenvalues of the 3×3 coherency matrix and its 2×2 minor(s) only and is well suited for fast array based computer implementation. In this paper with focus on computational aspects we demonstrate fast EEI based determination of ᾱ on X-band F-SAR image data over Vejers, Denmark, including a detailed example of calculations and computer code.
Original languageEnglish
Article number4507305
JournalIEEE Geoscience and Remote Sensing Letters
Volume19
Pages (from-to)1-5
ISSN1558-0571
DOIs
Publication statusPublished - 2022

Keywords

  • Polarimetric SAR
  • Hermitian matrix
  • Complex covariance matrix
  • Coherency matrix
  • Entropy
  • Mean alpha angle (α¯)
  • Anisotropy
  • F-SAR
  • X-band

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