New types of nonlinear auto-correlations of bivariate data and their applications

Journal Article (Journal Article)

The paper introduces new types of nonlinear correlations between bivariate data sets and derives nonlinear auto-correlations on the same data set. These auto-correlations are of different types to match signals with different types of nonlinearities. Examples are cited in all cases to make the definitions meaningful. Next correlogram diagrams are drawn separately in all cases; from these diagrams proper time lags/delays are determined. These give rise to independent coordinates of the attractors. Finally three dimensional attractors are reconstructed in each case separately with the help of these independent coordinates. Moreover for the purpose of making proper distinction between the signals, the attractors so reconstructed are quantified by a new technique called 'ellipsoid fit'. © 2011 Elsevier Inc. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Palit, SK; Mukherjee, S; Bhattacharya, DK

Published Date

  • May 1, 2012

Published In

Volume / Issue

  • 218 / 17

Start / End Page

  • 8951 - 8967

International Standard Serial Number (ISSN)

  • 0096-3003

Digital Object Identifier (DOI)

  • 10.1016/j.amc.2012.02.055

Citation Source

  • Scopus