Optimized spectral estimation for nonlinear synchronizing systems

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032912. doi: 10.1103/PhysRevE.89.032912. Epub 2014 Mar 14.

Abstract

In many fields of research nonlinear dynamical systems are investigated. When more than one process is measured, besides the distinct properties of the individual processes, their interactions are of interest. Often linear methods such as coherence are used for the analysis. The estimation of coherence can lead to false conclusions when applied without fulfilling several key assumptions. We introduce a data driven method to optimize the choice of the parameters for spectral estimation. Its applicability is demonstrated based on analytical calculations and exemplified in a simulation study. We complete our investigation with an application to nonlinear tremor signals in Parkinson's disease. In particular, we analyze electroencephalogram and electromyogram data.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Electroencephalography / methods*
  • Electromyography / methods*
  • Humans
  • Models, Biological*
  • Nonlinear Dynamics*
  • Parkinson Disease / complications
  • Parkinson Disease / physiopathology*
  • Tremor / etiology
  • Tremor / physiopathology*