TY - JOUR
T1 - Optimized spectral estimation for nonlinear synchronizing systems
AU - Sommerlade, Linda
AU - Mader, Malenka
AU - Mader, Wolfgang
AU - Timmer, Jens
AU - Thiel, Marco
AU - Grebogi, Celso
AU - Schelter, Björn
PY - 2014/3/14
Y1 - 2014/3/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84898975106&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.89.032912
DO - 10.1103/PhysRevE.89.032912
M3 - Article
AN - SCOPUS:84898975106
SN - 1539-3755
VL - 89
JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
IS - 3
M1 - 032912
ER -