Parametric estimation of spectrum driven by an exogenous signal

Tom Dupré La Tour (1, 2) , Yves Grenier (1, 2) , Alexandre Gramfort (1, 2)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 Université Paris-Saclay

In this paper, we introduce new parametric generative driven auto-regressive (DAR) models. DAR models provide a non-linear and non-stationary spectral estimation of a signal, conditionally to another exogenous signal. We detail how inference can be done efficiently while guaranteeing model stability. We show how model comparison and hyper-parameter selection can be done using likelihood estimates. We also point out the limits of DAR models when the exogenous signal contains too high frequencies. Finally, we illustrate how DAR models can be applied on neuro-physiologic signals to characterize phase-amplitude coupling.

Mots clés: non-linear auto-regressive models; spectrum estimation; electrophysiology; phase-amplitude coupling

Domaines: Traitement du signal et de l'image [eess.SP]; Applications [stat.AP]; Neurosciences

Tom Dupré La Tour, Yves Grenier, Alexandre Gramfort. Parametric estimation of spectrum driven by an exogenous signal. 2017. ⟨hal-01448603v1⟩