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

Publication ,  Journal Article
Palit, SK; Mukherjee, S; Bhattacharya, DK
Published in: Applied Mathematics and Computation
May 1, 2012

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.

Duke Scholars

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

May 1, 2012

Volume

218

Issue

17

Start / End Page

8951 / 8967

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Palit, S. K., Mukherjee, S., & Bhattacharya, D. K. (2012). New types of nonlinear auto-correlations of bivariate data and their applications. Applied Mathematics and Computation, 218(17), 8951–8967. https://doi.org/10.1016/j.amc.2012.02.055
Palit, S. K., S. Mukherjee, and D. K. Bhattacharya. “New types of nonlinear auto-correlations of bivariate data and their applications.” Applied Mathematics and Computation 218, no. 17 (May 1, 2012): 8951–67. https://doi.org/10.1016/j.amc.2012.02.055.
Palit SK, Mukherjee S, Bhattacharya DK. New types of nonlinear auto-correlations of bivariate data and their applications. Applied Mathematics and Computation. 2012 May 1;218(17):8951–67.
Palit, S. K., et al. “New types of nonlinear auto-correlations of bivariate data and their applications.” Applied Mathematics and Computation, vol. 218, no. 17, May 2012, pp. 8951–67. Scopus, doi:10.1016/j.amc.2012.02.055.
Palit SK, Mukherjee S, Bhattacharya DK. New types of nonlinear auto-correlations of bivariate data and their applications. Applied Mathematics and Computation. 2012 May 1;218(17):8951–8967.
Journal cover image

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

May 1, 2012

Volume

218

Issue

17

Start / End Page

8951 / 8967

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics