ARTERIAL BLOOD PRESSURE ANALYSIS BASED ON

Première rencontre CRM–INRIA–MITACS
5 – 9 MAI, 2008
ARTERIAL BLOOD PRESSURE ANALYSIS
BASED ON SCATTERING TRANSFORM
Michel Sorine
Responsable sicentifique du projet SOSSO
INRIA
Domaine du Voluceau-Roquencourt, B.P. 105
78153 Le Chesnay Cedex
FRANCE
[email protected]
Abstract
We present a new method for analyzing arterial blood pressure waves
or other pulse-like signals. The technique is based on the scattering
transform and consists in solving the spectral problem associated to a
one-dimensional Schrödinger operator with a well-like potential depending linearly upon the pressure. This potential is then approximated by an
N -soliton associated to the N most negative eigenvalues of the discrete
spectrum. The approach is analogous to a nonlinear Fourier transform
where the solitons play the role of sinus and cosinus components. The
proposed method leads to new clinical indexes associated for example to
the fast and slow parts of the blood pressure wave.