Abstract: A method for determining the relative position of two points using an inertial navigation system is described. The method comprises estimating position error states and a position solution with an INS at a first position, estimating position error states and a position solution with the INS at a second position, and returning the INS to the first position. Estimates of the first and second position error states are adjusted based on correlations developed during a transition returning the INS from the second position to the first position.

Abstract: Methods and apparatuses for forming a handling tab on a glass substrate are disclosed. The method may include conveying a glass substrate in a conveyance direction. An adhesive tape ribbon may be positioned adjacent to the first lateral edge of the glass substrate such that an adhesive surface of the adhesive tape ribbon is spaced apart from the first lateral edge of the glass substrate and the adhesive surface is substantially perpendicular to the first surface and the second surface. The adhesive tape ribbon may be folded such that at least a portion of the glass substrate is positioned between the adhesive surface of a first portion of the adhesive tape ribbon and the adhesive surface of a second portion of the adhesive tape ribbon, and a third portion of the adhesive tape ribbon forms a handling tab extending beyond the first lateral edge of the glass substrate.

Abstract: An inertial system is provided. The system includes at least one inertial sensor, a processing unit and a plurality of Kalman filters implemented in the processing unit. The Kalman filters receive information from the at least one inertial sensor. At most one of the plurality of Kalman filters has processed zero velocity updates on the last cycle.

Abstract: A method and apparatus for calculating corrections to a navigation solution based on differential GPS data includes receiving GPS ephemeris from at least three GPS satellites. A PVT solution is resolved from the GPS ephemeris. The PVT solution includes a Circular Error Probable (CEP). Differential GPS data for calculating the corrections to the PVT solution is received. A corrected PVT solution is then based upon the differential GPS data. The corrected PVT solution is compared to an area defined by the CEP. Where the corrected PVT solution is not within the area, the corrected PVT solution is rejected in favor of the PVT solution for determining an accurate navigational solution.

Abstract: An inertial system is provided. The system includes at least one inertial sensor, a processing unit and a plurality of Kalman filters implemented in the processing unit. The Kalman filters receive information from the at least one inertial sensor. At most one of the plurality of Kalman filters has processed zero velocity updates on the last cycle.

Abstract: An inertial system is provided. The system includes at least one inertial sensor, a processing unit and a plurality of Kalman filters implemented in the processing unit. The Kalman filters receive information from the at least one inertial sensor, and at most one of the plurality of Kalman filters has processed zero velocity updates on the last cycle. The plurality of Kalman filters is used to optimize system response and performance during periods of intermittent motion.

Abstract: A method of aligning an inertial navigation system or gyrocompass, including executing real-time navigation software on real-time inertial data to generate real-time navigation data, executing real-time Kalman filter software on the real-time navigation data and real-time aiding data, recording the real-time inertial data and the real-time aiding data as real-time input data in a buffer, initializing a playback process, executing playback navigation software on buffered inertial data to generate playback navigation data, and executing playback Kalman filter software on the playback navigation data and buffered aiding data. The execution of the real-time navigation software and the real-time Kalman filter software effect a real-time alignment process. The playback navigation software and the playback Kalman filter software effect an alignment process executed at a faster rate than the real-time navigation software and real-time Kalman filter software.

Abstract: A method and apparatus for calculating corrections to a navigation solution based on differential GPS data includes receiving GPS ephemeris from at least three GPS satellites. A PVT solution is resolved from the GPS ephemeris. The PVT solution includes a Circular Error Probable (CEP). Differential GPS data for calculating the corrections to the PVT solution is received. A corrected PVT solution is then based upon the differential GPS data. The corrected PVT solution is compared to an area defined by the CEP. Where the corrected PVT solution is not within the area, the corrected PVT solution is rejected in favor of the PVT solution for determining an accurate navigational solution.

Abstract: An improved system and method is disclosed for dynamically estimating the output variances of carrier-smoothing filters used, for example, in GPS receivers. By accurately estimating the output variances of the carrier-smoothing filters as they transition from initialization to steady-state operation, it is possible to calculate any required protection levels without having to wait for the filters to fully stabilize. As one example, a system for estimating output variances of a carrier-smoothing filter for use in a satellite navigation system receiver is disclosed, which includes a plurality of smoothing filters associated with a navigation processing unit in a satellite navigation receiver. One or more processors associated with the navigation processing unit executes an algorithm for each smoothing filter, which provides a method for dynamically calculating an output variance for a respective smoothing filter as it transitions in response to new input variance values.

Abstract: A method of aligning a gyro-compass comprising operating at least two Kalman filters in a set of Kalman filters to generate an error correction to at least a single navigation solution in a set of navigation solutions in order to provide coarse alignment azimuth convergence. The method further comprises selecting at least one selected Kalman filter from the set of Kalman filters and at least one selected navigation solution from the set of navigation solutions, and operating the at least one selected Kalman filter and the at least one selected navigation solution to provide fine alignment convergence to a correct azimuth. The selecting is based at least in part on the generated error correction, each navigation solution includes an azimuth different from the azimuth of each other navigation solution and each navigation solution azimuth is separated by no more than two times a small angle error assumption.

Abstract: A method for guiding the approach and landing of an aircraft is provided. The method involves receiving navigation information from the aircraft, receiving navigation information from an aircraft carrier, integrating the navigation information from the aircraft with the navigation information from the aircraft carrier to determine a relative velocity and a relative position between the aircraft and the aircraft carrier, and propagating the relative velocity and the relative position forward in time for navigation purposes.

Abstract: A method of aligning an inertial navigation system or gyrocompass, including executing real-time navigation software on real-time inertial data to generate real-time navigation data, executing real-time Kalman filter software on the real-time navigation data and real-time aiding data, recording the real-time inertial data and the real-time aiding data as real-time input data in a buffer, initializing a playback process, executing playback navigation software on buffered inertial data to generate playback navigation data, and executing playback Kalman filter software on the playback navigation data and buffered aiding data. The execution of the real-time navigation software and the real-time Kalman filter software effect a real-time alignment process. The playback navigation software and the playback Kalman filter software effect an alignment process executed at a faster rate than the real-time navigation software and real-time Kalman filter software.

Abstract: A method of aligning a gyro-compass comprising operating at least two Kalman filters in a set of Kalman filters to generate an error correction to at least a single navigation solution in a set of navigation solutions in order to provide coarse alignment azimuth convergence. The method further comprises selecting at least one selected Kalman filter from the set of Kalman filters and at least one selected navigation solution from the set of navigation solutions, and operating the at least one selected Kalman filter and the at least one selected navigation solution to provide fine alignment convergence to a correct azimuth. The selecting is based at least in part on the generated error correction, each navigation solution includes an azimuth different from the azimuth of each other navigation solution and each navigation solution azimuth is separated by no more than two times a small angle error assumption.

Abstract: A method for determining heave and heave rate for a vessel is described. The vessel includes an inertial navigation system (INS), and sensors for the INS being located at a point A of the vessel, the vessel having a zero heave reference point B, and the described method provides heave and heave rate at a point C of the vessel. The method includes determining reference coordinates for points A, B, and C of the vessel, generating a velocity signal representative of a velocity at a point on the vessel, generating a heave rate signal based upon the velocity signal, and generating a heave based upon the heave rate signal.

Abstract: A unit is configured to provide acceleration, velocity, and position information for one or more points on a vehicle. The unit includes an integrated global positioning satellite system (GPS)/inertial navigation system (INS) and at least one remote velocity sensor. The remote velocity sensors include three orthogonal accelerometers and a digital signal processor configured to receive signals from the accelerometers. The remote velocity sensors are mounted at points on the vehicle where acceleration, velocity and position are to be determined. Data from the sensors is slaved to data from the integrated GPS/INS, and the unit is configured to transform data from the sensors to a navigation frame utilizing a sensor frame to navigation frame attitude matrix.

Abstract: A unit is configured to provide acceleration, velocity, and position information for one or more points on a vehicle. The unit includes an integrated global positioning satellite system (GPS)/inertial navigation system (INS) and at least one remote velocity sensor. The remote velocity sensors include three orthogonal accelerometers and a digital signal processor configured to receive signals from the accelerometers. The remote velocity sensors are mounted at points on the vehicle where acceleration, velocity and position are to be determined. Data from the sensors is slaved to data from the integrated GPS/INS, and the unit is configured to transform data from the sensors to a navigation frame utilizing a sensor frame to navigation frame attitude matrix.

Abstract: A method for determining heave and heave rate for a vessel is described. The vessel includes an inertial navigation system (INS), and sensors for the INS being located at a point A of the vessel, the vessel having a zero heave reference point B, and the described method provides heave and heave rate at a point C of the vessel. The method includes determining reference coordinates for points A, B, and C of the vessel, generating a velocity signal representative of a velocity at a point on the vessel, generating a heave rate signal based upon the velocity signal, and generating a heave based upon the heave rate signal.

Abstract: A system for determining accurate inertial navigation data of a vehicle while moving must compensate for the orientation differences between an upper body and a lower body of the vehicle. These orientation differences are used to increase the accuracy of the aided inertial navigation solution. An odometer on the lower body is used to reduced errors in the inertial data arising from movement between the upper and lower bodies and errors in the odometer associated with vehicle pitch are reduced by sensing pitch changes with the inertial navigation data.

Abstract: A system for determining accurate inertial navigation data of a vehicle while moving must compensate for the orientation differences between an upper body and a lower body of the vehicle. These orientation differences are used to increase the accuracy of the aided inertial navigation solution. An odometer on the lower body is used to reduced errors in the inertial date arising from movement between the upper and low bodies and errors in the odometer associated with vehicle pitch are reduced by sensing pitch changes with the inertial navigation data.

Abstract: A system for determining accurate inertial navigation data of a vehicle while moving must compensate for the orientation differences between an upper body and a lower body of the vehicle. These orientation differences are used to increase the accuracy of the aided inertial navigation solution.