On the true velocity in full correlations analysis

dc.contributor.authorWoodman Pollitt, Ronald Francisco
dc.date.accessioned2018-06-26T17:44:38Z
dc.date.available2018-06-26T17:44:38Z
dc.date.issued1995-09
dc.description.abstractThe usual assumption made of elliptical symmetry in the shape of the correlation functions for deriving algorithms to determine the "true" velocity of a time-changing random pattern is relaxed. We start, instead, by stating that in the frame of reference moving with the medium, the space-time autocorrelation function of any state parameter of the medium is invariant under an r = -r transformation, where r is the displacement vector. With no further assumptions, a simple formula for the velocity of the medium is found for statistically isotropic patterns and for anisotropic patterns when the sensors are aligned along the axis of symmetry. The simplicity of the derivation and the formula contrast with previous derivations under more restrictive conditions. For the case of unknown elongation direction, previously known algorithms for determining the velocity under the assumption that the locus of equal correlation in r space are elliptical are revised. They are derived as Taylor expausiou approximations of the functions specifying the shape of equal correlation shells. Furthermore, the assumption of fixed elliptical elongation parameters is relaxed. Three-dimensional cases are considered throughout, with one- and two-dimensional applications included as special cases.es_ES
dc.description.peer-reviewPor pareses_ES
dc.formatapplication/pdfes_ES
dc.identifier.citationWoodman, R. F. (1995). On the true velocity in full correlations analysis.==$Radio Science, 30$==(5), 1459-1465. https://doi.org/10.1029/95RS01828es_ES
dc.identifier.doihttps://doi.org/10.1029/95RS01828es_ES
dc.identifier.govdocindex-oti2018
dc.identifier.journalRadio Sciencees_ES
dc.identifier.urihttp://hdl.handle.net/20.500.12816/1558
dc.language.isoenges_ES
dc.publisherAmerican Geophysical Uniones_ES
dc.relation.ispartofurn:issn:0048-6604
dc.rightsinfo:eu-repo/semantics/restrictedAccesses_ES
dc.subjectCorrelationes_ES
dc.subjectDiffractiones_ES
dc.subjectElectronices_ES
dc.subjectEarth resistancees_ES
dc.subject.ocdehttp://purl.org/pe-repo/ocde/ford#1.05.01es_ES
dc.titleOn the true velocity in full correlations analysises_ES
dc.typeinfo:eu-repo/semantics/articlees_ES

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