A five state exponentially correlated jerk-rate filter

Abstract

A one-dimensional five state erponentially correlated rate ofjerk model is presented in this work. The filter estimates the position, velocity, acceleration, jerk and rate of jerk of an aircrap or similar vehicle moving with random exponentially correlated jerk-rate motion (fourth time derivative of displacemenf). The position coordinate of the vehicle is assumed to be measured by radar at uniform sampling intervals oftime through random noise.