Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 1: 85 - 95

DOI: https://doi.org/10.1007/s11464-011-0166-1

RESEARCH ARTICLE

New method for general Kennaugh’s pseudoeigenvalue equation in radar polarimetry

  • Sitao LING 1,2 ,
  • Tongsong JIANG , 2
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  • 1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
  • 2. Department of Mathematics, Linyi University, Linyi 276005, China

Received date: 14 Apr 2010

Accepted date: 31 Aug 2011

Published date: 01 Feb 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Kennaugh’s pseudo-eigenvalue equation is a basic equation that plays an extremely important role in radar polarimetry. In this paper, by means of real representation, we first present a necessary and sufficient condition for the general Kennaugh’s pseudo-eigenvalue equation having a solution, characterize the explicit form of the solution, and then study the solution of Kennaugh’s pseudo-eigenvalue equation. At last, we propose a new technique for finding the coneigenvalues and coneigenvectors of a complex matrix under appropriate conditions in radar polarimetry.

Key words： Kennaugh’s equation; coneigenvalue; coneigenvector; real representation

Cite this article

Sitao LING , Tongsong JIANG . New method for general Kennaugh’s pseudoeigenvalue equation in radar polarimetry[J]. Frontiers of Mathematics in China, 2012 , 7(1) : 85 -95 . DOI: 10.1007/s11464-011-0166-1

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