Abstract: Using geo-mapping data and only at least one inertial sensor, a Bayesian estimator uses at least one element of an uncorrected inertial navigation vector, of a moveable object on a surface, to estimate inertial navigation error information including corresponding statistical information. The estimated inertial navigation error information is used to error correct the uncorrected inertial navigation vector. The Bayesian filter also predicts inertial navigation error information, including corresponding statistical information, for a future time instance when a next uncorrected inertial navigation vector will be obtained.

Abstract: Using geo-mapping data and only at least one inertial sensor, a Bayesian estimator uses at least one element of an uncorrected inertial navigation vector, of a moveable object on a surface, to estimate inertial navigation error information including corresponding statistical information. The estimated inertial navigation error information is used to error correct the uncorrected inertial navigation vector. The Bayesian filter also predicts inertial navigation error information, including corresponding statistical information, for a future time instance when a next uncorrected inertial navigation vector will be obtained.

Abstract: An attitude estimator system is provided. The attitude estimator system includes a navigation system, a Kalman filter, and a form observations module. The navigation system receives input from a first accelerometer and gyroscope, a second accelerometer and gyroscope, and a third accelerometer and gyroscope. The form observations module receives input from at least one high performance accelerometer and/or gyroscope; forms and outputs at least one of velocity-derived observations and attitude-derived observations.

Abstract: A navigation system comprises at least one processor, a satellite navigation receiver operatively coupled to the processor and configured to receive a plurality of navigation signals from one or more navigation satellites, and an inertial measurement unit operatively coupled to the processor and configured to generate inertial measurement data. An extended Kalman filter is configured to receive the plurality of navigation signals and the inertial measurement data. A processor readable storage medium includes instructions executable by the processor to combine the plurality of satellite signals with the inertial measurement data in the extended Kalman filter to generate a navigation solution. The plurality of navigation signals includes L1 pseudorange measurements, L2 pseudorange measurements, L1 accumulated carrier phase measurements, and L2 accumulated carrier phase measurements.

Abstract: An attitude estimator system is provided. The attitude estimator system includes a navigation system, a Kalman filter, and a form observations module. The navigation system receives input from a first accelerometer and gyroscope, a second accelerometer and gyroscope, and a third accelerometer and gyroscope. The form observations module receives input from at least one high performance accelerometer and/or gyroscope; forms and outputs at least one of velocity-derived observations and attitude-derived observations.

Abstract: A navigation system comprises at least one processor, a satellite navigation receiver operatively coupled to the processor and configured to receive a plurality of navigation signals from one or more navigation satellites, and an inertial measurement unit operatively coupled to the processor and configured to generate inertial measurement data. An extended Kalman filter is configured to receive the plurality of navigation signals and the inertial measurement data. A processor readable storage medium includes instructions executable by the processor to combine the plurality of satellite signals with the inertial measurement data in the extended Kalman filter to generate a navigation solution. The plurality of navigation signals includes L1 pseudorange measurements, L2 pseudorange measurements, L1 accumulated carrier phase measurements, and L2 accumulated carrier phase measurements.