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Localisation of geometric anisotropy

Olhede, SC; (2008) Localisation of geometric anisotropy. IEEE T SIGNAL PROCES , 56 (5) 2133 - 2138. 10.1109/TSP.2007.912894.

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Abstract

The class of 2-D nonseparable geometrically anisotropic localization operators is defined, from the representation of a function via a family of coherent states, by restricting the states in the reconstruction formula. The eigensystern of operators in a set family is determined, this specifying optimally localized anisotropic functions, and their degree of localization. These functions are suitable for analysis of inhomogeneous anisotropic random fields.

Type: Article
Title: Localisation of geometric anisotropy
DOI: 10.1109/TSP.2007.912894
Keywords: localization operator, time-frequency analysis, wavelet transform
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: http://discovery.ucl.ac.uk/id/eprint/54656
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