Jl. Riley et Da. Gray, TOWED ARRAY SHAPE ESTIMATION USING KALMAN FILTERS - EXPERIMENTAL INVESTIGATIONS, IEEE journal of oceanic engineering, 18(4), 1993, pp. 572-581
This is the second of two papers describing the use of Kalman filters
to estimate the shape of a towed array of hydrophones. The first paper
presented the problem of estimating the shape of a towed array instru
mented with either depth sensors, compasses, or both in a discrete tim
e state space formulation. This state space representation was derived
from a dynamical model of the propagation of tow point induced motion
down the array. A Kalman filter was derived to recursively estimate t
he shape of this towed array. In addition, solutions to the Riccati eq
uation were used to predict the mean square error of the Kalman filter
array shape estimates. The present paper investigates the performance
of this Kalman filter approach as an array shape estimator using both
simulated examples and sea trial data. Fundamental to the Kalman filt
er approach is the model that describes the dynamical behavior of the
towed array. The results of an experimental program that was recently
undertaken to validate this model are also presented.