Localisation of Geometric Anisotropy

DOI10.1109/TSP.2007.912894zbMATH Open1390.94341arXivmath/0702284MaRDI QIDQ4568699

Sofia C. Olhede

Publication date: 27 June 2018

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/math/0702284

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Abstract harmonic analysis (43A99) Nontrigonometric harmonic analysis (42C99)

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