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Rotary components, random ellipses and polarization: a statistical perspective.
MedLine Citation:
PMID:  23277610     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
Rotary analysis decomposes vector motions on the plane into counter-rotating components, which have proved particularly useful in the study of geophysical flows influenced by the rotation of the Earth. For stationary random signals, the motion at any frequency takes the form of a random ellipse. Although there are numerous applications of rotary analysis, relatively little attention has been paid to the statistical properties of the random ellipses or to the estimated rotary coefficient, which measures the tendency to rotate counterclockwise or clockwise. The precise statistical structure of the ellipses is reviewed, including the random behaviour of the ellipse orientation, aspect ratio and intensity. Special attention is then paid to spectral matrix estimation from physical data and to hypothesis testing and confidence intervals computed using the estimated matrices.
Authors:
A T Walden
Publication Detail:
Type:  Journal Article     Date:  2012-12-31
Journal Detail:
Title:  Philosophical transactions. Series A, Mathematical, physical, and engineering sciences     Volume:  371     ISSN:  1364-503X     ISO Abbreviation:  Philos Trans A Math Phys Eng Sci     Publication Date:  2013 Feb 
Date Detail:
Created Date:  2013-01-01     Completed Date:  2013-03-07     Revised Date:  2013-04-24    
Medline Journal Info:
Nlm Unique ID:  101133385     Medline TA:  Philos Trans A Math Phys Eng Sci     Country:  England    
Other Details:
Languages:  eng     Pagination:  20110554     Citation Subset:  -    
Affiliation:
Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2BZ, UK. a.walden@imperial.ac.uk
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