Abstract: Methods and systems for implementing an iterated extended Kalman filter within a navigation system are provided. In one embodiment, a Kalman filter programmed with time updating error states and measurement updating error states relating to received data sets is provided. The said Kalman filter configured to: iterate both the time updating error states and the measurement updating error states based on a first criteria; and iterate only the measurement updating error states based on a second criteria.

Abstract: A navigation system for a vehicle is described that includes an inertial measurement unit, a positioning unit, and a processing unit. The inertial measurement unit configured to provide a first set of data relating to operation of the vehicle and the positioning unit is configured to provide a second set of data relating to operation of the vehicle. The processing unit is configured to receive the data sets provided by the inertial measurement unit and the positioning unit and the processing unit comprises an error processing device. The error processing device is programmed with time updating error states and measurement updating error states relating to the data sets received by said processing unit and is configured to iterate both the time updating error states and the measurement updating error states based on a first criteria and iterate only the measurement updating error states based on a second criteria.

Abstract: An inertial navigation system which includes a first control system and a second control system is described. The first control system is configured to estimate a vertical velocity based in part on received vertical acceleration data. The second control system is configured to receive the estimated vertical velocity from the first control system and determine a compensated vertical velocity utilizing the estimated vertical velocity and airspeed.

Abstract: A method and system for processing pulse signals within an inertial device is provided. The inertial device may have inertial sensors, such as accelerometers and gyroscopes. The inertial sensors may output signals representative of a moving body's motion. The signals may require correction due to imperfections and other errors of the inertial sensors. The inertial device may receive signals from the inertial sensors and process the signals on a signal-by-signal basis so that when processing the signals, the inertial device at least recognizes which sensor output a signal and when the signal was output. The inertial device may then correlate signals that were output from the inertial sensors at selected times in order to transform the signals into a desired navigational frame of reference.