Identification of Counter-Rolling. Characterization Using Kalman Filter.

Abstract

This paper studies transfer characteristics of the counter-rolling: a rotational eye movement subjected to tilt of the body. We identify a discrete time-varying model of the counter-rolling by using Kalman filters. The identfied model predicts precise values of angular displacement of the eye as a function of tilt of the body. To characterize the transfer characteristics, we derive the time-invariant system from our time-varying model fixed at a moment and define the time-varying impulse response from impulse responses of the time-invariant system as a continuation of each fixed time-varying model. A series of the time-varying impulse response qualitatively characterizes time-varying transfer characteristics of the eye. Irregular responses of the eye are also characterized by our method.