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

New method for general Kennaugh's pseudoeigenvalue equation in radar polarimetry
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摘要 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. 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.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第1期85-95,共11页 中国高等学校学术文摘·数学(英文)
基金 Acknowledgements We wish to express our gratitude to the anonymous referees for their helpful comments and suggestions, which improved the presentation of this paper. This work was supported in part by the National Natural Science Foundations of China (Grant Nos. 11171226, 11171343, 11001144) and the Natural Science Foundation of Shandong Province (ZR2010AM014).
关键词 Kennaugh's equation coneigenvalue coneigenvector real represen-tation Kennaugh's equation, coneigenvalue, coneigenvector, real represen-tation
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