Volume scattering power constraint based on the principal minors of the coherency matrix

Shunichi Kusano, Kazunori Takahashi, Motoyuki Sato

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This letter proposes a constraint for a volume scattering power employing the principal minors, which can be used for polarimetric synthetic aperture radar (POLSAR) model-based decomposition. This constraint effectively allows for avoiding unreasonable results which yield negative eigenvalues. The proposed constraint is derived so that all the principal minors of the coherency matrix after volume scattering subtraction are nonnegative. Mathematically, the constraint is exactly the same as that based on the nonnegative eigenvalues. Thus, it is guaranteed that the result is physically reasonable and that the volume scattering power is not overestimated. A significant advantage of the proposed method compared to the constraint based on the nonnegative eigenvalues is the high computation efficiency, since the maximal volume scattering power can be derived analytically, while the nonnegative eigenvalue constraint requires a numerical calculation. In our experiment, the computation of the maximal power is six times faster using the approach based on the principal minors than that based on the nonnegative eigenvalues.

Original languageEnglish
Article number6553363
Pages (from-to)361-365
Number of pages5
JournalIEEE Geoscience and Remote Sensing Letters
Volume11
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • Model-based decompositions
  • nonnegative eigenvalue
  • polarimetric synthetic aperture radar (POLSAR)
  • positive semidefinite matrix
  • principal minor

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Electrical and Electronic Engineering

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