NDLI: Point-Process Nonlinear Models With Laguerre and Volterra Expansions: Instantaneous Assessment of Heartbeat Dynamics

Content Provider	IEEE Xplore Digital Library
Author	Valenza, G. Citi, L. Scilingo, E. P. Barbieri, R.
Copyright Year	1991
Abstract	In the last decades, mathematical modeling and signal processing techniques have played an important role in the study of cardiovascular control physiology and heartbeat nonlinear dynamics. In particular, nonlinear models have been devised for the assessment of the cardiovascular system by accounting for short-memory second-order nonlinearities. In this paper, we introduce a novel inverse Gaussian point process model with Laguerre expansion of the nonlinear Volterra kernels. Within the model, the second-order nonlinearities also account for the long-term information given by the past events of the nonstationary non-Gaussian time series. In addition, the mathematical link to an equivalent cubic input-output Wiener-Volterra model allows for a novel instantaneous estimation of the dynamic spectrum, bispectrum and trispectrum of the considered inter-event intervals. The proposed framework is tested with synthetic simulations and two experimental heartbeat interval datasets. Applications on further heterogeneous datasets such as milling inserts, neural spikes, gait from short walks, and geyser geologic events are also reported. Results show that our model improves on previously developed models and, at the same time, it is able to provide a novel instantaneous characterization and tracking of the inherent nonlinearity of heartbeat dynamics.
Sponsorship	IEEE Signal Processing Society
Starting Page	2914
Ending Page	2926
Page Count	13
File Size	2575020
File Format	PDF
ISSN	1053587X
Volume Number	61
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Heart rate variability Mathematical model Nonlinear dynamical systems Kernel Estimation Physiology Probabilistic logic Wiener-Volterra model Bispectrum heart rate variability (HRV) high order statistics Laguerre expansion nonlinear analysis point process trispectrum
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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