Rh. Anderson et Jl. Krolik, OVER-THE-HORIZON RADAR TARGET LOCALIZATION USING A HIDDEN MARKOV MODEL ESTIMATED FROM IONOSONDE DATA, Radio science, 33(4), 1998, pp. 1199-1213
Uncertainty about the downrange ionospheric conditions is a well-known
source of localization errors in over-the-horizon radar. Statistical
modeling of ionospheric parameters has recently been proposed in order
to derive a maximum likelihood (ML) localization method which is more
robust to ionospheric variability. Maximum likelihood coordinate regi
stration consists of determining the most likely target ground coordin
ates over an ensemble of ionospheric conditions consistent with the da
ta. For greater computational efficiency the likelihood function is ap
proximated by a hidden Markov model (HMM) for the probability of a seq
uence of observed slant coordinates given a hypothesized target locati
on. In previous work, estimation of the HMM parameters was achieved as
suming that the statistics of the underlying ionosphere were known pre
cisely. This paper addresses the problem of estimating the parameters
of the HMM from contemporaneous ionospheric sounder measurements. The
approach taken here is to treat the plasma frequency profile as a homo
geneous random process over the region around the midpoint between the
radar and the dwell illumination region. In particular, spatial sampl
ing of a three-dimensional (3-D) ionospheric model, fitted to ionosond
e measurements, is used to generate quasi 2-D plasma frequency profile
realizations. Estimates of the hidden Markov model parameters are the
n obtained by using smoothed bootstrap Monte Carlo resampling. A compa
rison of ML localization and conventional methods, using full 3-D iono
spheric modeling and 2-D ray tracing, are given using real data from a
known target at a ground range of 2192 km. Results for over 250 radar
dwells indicate that the ML localization technique achieves better th
an a factor of 2 improvement over conventional methods.