| Rotary components, random ellipses and polarization: a statistical perspective. | |
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MedLine Citation:
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PMID: 23277610 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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. |
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Authors:
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A T Walden |
Publication Detail:
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Type: Journal Article Date: 2012-12-31 |
Journal Detail:
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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:
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Created Date: 2013-01-01 Completed Date: 2013-03-07 Revised Date: 2013-04-24 |
Medline Journal Info:
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Nlm Unique ID: 101133385 Medline TA: Philos Trans A Math Phys Eng Sci Country: England |
Other Details:
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Languages: eng Pagination: 20110554 Citation Subset: - |
Affiliation:
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Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2BZ, UK. a.walden@imperial.ac.uk |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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