Fast matrix based computation of eigenvalues and the Loewner order in PolSAR data

Research output: Contribution to journalJournal articleResearchpeer-review

68 Downloads (Pure)

Abstract

We describe calculation of eigenvalues of 2×2 or3 ×3 Hermitian matrices as used in the analysis of multilook polarimetric SAR data. The eigenvalues are calculated as the roots of quadratic or cubic equations. We also describe pivot based calculation of the Loewner order for partial ordering of differences between such matrices. The methods are well suited for fast matrix oriented computer implementation and the speedup over simpler calculations based on built-in eigenproblem solvers is enormous.
Original languageEnglish
JournalI E E E Geoscience and Remote Sensing Letters
Volume17
Issue number10
Pages (from-to)1727-1731
ISSN1545-598X
DOIs
Publication statusPublished - 2020

Keywords

  • Complex covariance matrices
  • Hermitian matrices
  • Polarimetric SAR

Fingerprint Dive into the research topics of 'Fast matrix based computation of eigenvalues and the Loewner order in PolSAR data'. Together they form a unique fingerprint.

Cite this