DocumentCode
1102779
Title
Localisation of Geometric Anisotropy
Author
Olhede, Sofia C.
Author_Institution
Univ. Coll. London, London
Volume
56
Issue
5
fYear
2008
fDate
5/1/2008 12:00:00 AM
Firstpage
2133
Lastpage
2138
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 eigensystem 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.
Keywords
eigenvalues and eigenfunctions; geometry; mathematical operators; 2D nonseparable geometrically anisotropic localization operators; geometric anisotropy; inhomogeneous anisotropic random fields; localisation; operators eigensystem; optimally localized anisotropic functions; reconstruction formula; Localization operator; time-frequency analysis; wavelet transform;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/TSP.2007.912894
Filename
4472187
Link To Document