Localisation of Geometric Anisotropy

Details Localisation of Geometric Anisotropy Localisation of Geometric Anisotropy

2007-02-10

arxiv.org/abs/math/0702284v1

Mathematics

Statistics Theory

9 pages, 6 Postscript figures

Scientific paper

10.1109/TSP.2007.912894

The class of 2-D nonseparable geometrically anisotropic localisation operators is defined, containing highly anisotropic nearly unidirectional localisation operators, as well as isotropic localisation operators. A continuum of anisotropic operators between the extremes of near unidirectionality and isotropy are treated in a single class. The eigensystem of any given operator in this family is determined, thus specifying geometrically anisotropic optimally concentrated functions, and their degree of localisation.

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