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Techniques of Eigenvalues Estimation and Association

โœ Scribed by Yingbo Hua; Karim Abed-Meraim

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
130 KB
Volume
7
Category
Article
ISSN
1051-2004

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โœฆ Synopsis

Techniques of eigenvalues estimation and association (TEEA) are an essential part of a multidimensional spectral and array processing concept known as subspace rotation invariance (also known as ESPRIT and Matrix Pencils). Subspace rotation invariance is especially useful for designing flexible arrays for estimation of multidimensional source angles and polarizations. Other applications include synthetic aperture radar imaging, nuclear magnetic resonance imaging and wireless communications. All applications of subspace rotation invariance require TEEA to extract the desired information from data. In this paper, we review, refine, and extend a variety of TEEA available in the literature. 1997 Academic Press

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In this paper, the concept of generalized spherical neighborhood on the real quaternion field is introduced. Then, Schwartz' s inequality and the Gerschgorin's theorem are proved on the real quaternion field and the problems of the distribution and estimation of real quaternion matrix eigenvalues ar