Jl. Krolik et Rh. Anderson, MAXIMUM-LIKELIHOOD COORDINATE REGISTRATION FOR OVER-THE-HORIZON RADAR, IEEE transactions on signal processing, 45(4), 1997, pp. 945-959
Over-the-horizon radar exploits the refractive and multipath nature of
high-frequency propagation through the ionosphere to achieve wide-are
a surveillance, The coordinate registration process converts the group
delays and azimuths (i,e., slant coordinates) from a set of multipath
target returns to an estimate of its location (i,e,, ground coordinat
es). This is performed by associating the target returns with raymodes
determined using a computational electromagnetic propagation model. N
ot surprisingly, errors in the estimates of down-range ionosphere para
meters can seriously degrade the accuracy of the target location estim
ate. The coordinate registration method presented here is designed to
achieve improved accuracy by employing a statistical model for uncerta
inties in the ionosphere. Modeling down-range ionospheric parameters a
s random variables with known statistics facilitates maximum likelihoo
d (ML) target location estimation, which is more robust to errors in t
he measured ionospheric conditions. The statistics of down-range ionos
pheric parameters can be determined using current and historical sound
ings of the ionosphere, ML target localization consists of determining
the most likely target ground coordinates over an ensemble of ionosph
eric conditions consistent with the data, For greater computational ef
ficiency, the likelihood function is approximated by a hidden Markov m
odel (HMM) for the probability of a sequence of observed slant coordin
ates given a hypothesized target location. The parameters of the HMM a
re determined via Monte Carlo execution of a raytracing propagation mo
del for random realizations of the ionosphere. A simulation study perf
ormed using a random ionospheric model derived from ionogram measureme
nts made at Wallops Island suggests that the ML method can potentially
achieve average absolute miss distances as much as five times better
than a conventional coordinate registration technique.