title: An approach to estimate time-varying casual coherence function.
abstract: OBJECTIVE
  This paper describes the development of a model-based approach to estimating both open-loop and causal time-varying coherence functions (TVCF). Theoretical derivations of the coherence bounds using the proposed approach are also provided.
  
  
  METHODS
  A time-varying vector autoregressive (VAR) model was used to estimate both open-loop and causal TVCF. The time-varying optimal parameter search method was employed to identify the time-varying model coefficients as well as the model order of the VAR model.
  
  
  RESULTS
  Simulation results revealed interesting observations, and they were corroborated using experimental renal blood pressure and flow data. Specifically, experimental data showed that in certain cases, the calculation of the open-loop TVCF might provide incorrect interpretation of the results when the system under investigation was a closed-loop system, which is consistent with theoretical derivations.
  
  
  CONCLUSIONS
  The use of the closed-loop TVCF not only provides quantitative assessment of the coupling between the two signals, but it also provides valuable insights into the composition of the physical structure of the system.
authors.affiliation: Department of Biomedical Engineering, State University of New York at Stony Brook, NY, 11794-8181, USA.
authors.forename: H
authors.initials: H
authors.lastname: Zhao
authors.forename: K
authors.initials: K
authors.lastname: Ju
authors.forename: K H
authors.initials: KH
authors.lastname: Chon
mesh_terms: D001794:Blood Pressure; D003198:Computer Simulation; D006801:Humans; D007257:Information Theory; D007668:Kidney / Q000502:physiology; D016014:Linear Models; D008962:Models, Theoretical; D012815:Signal Processing, Computer-Assisted; D013995:Time