A
system (30) for determining a
missile kinematic property. The inventive
system includes a
radar system (36) for obtaining
radar range measurements (34). An
inertial reference unit (40) tracks changes in
missile acceleration without the use of the
radar range measurements and provides a
signal (38, 42) in response thereto. An altitude
Kalman filter (32) and a
subtractor circuit (48) are used to combine the
signal (38, 42) and the radar range measurements (34) to provide an accurate estimate (50) of the property. In a specific embodiment, the kinematic property includes
missile vertical velocity and missile altitude. A radar system (36) supplies radar range information (34) to the
Kalman filter (32). A loop (52) from the
Kalman filter (32) to the radar system (36) facilitates estimating the radar range measurements (34) when invalid radar range measurements are provided by the radar system (36). The Kalman filter (34) is a two state filter, one state corresponding to missile altitude, and the other state corresponding to missile
vertical velocity bias error in the
inertial reference unit's (40) velocity measurements (42). In the illustrative embodiment, the Kalman filter (32) combines radar pseudo-measurement estimates of missile altitude with estimates (38) of missile altitude obtained from the
inertial reference unit (40) and provides an output
signal (46) representative of an accurate missile altitude estimate in response thereto. The Kalman filter (32) includes a velocity bias output (44) which provides an estimate of the error in a
velocity measurement (42) obtained from inertial reference unit (40) to the
subtractor circuit (48). The
subtractor circuit (48) subtracts the estimate (44) of the bias error from the
velocity measurement (42) and provides the missile velocity estimate (50) in response thereto.