Abstract: A system and a method are disclosed for smoothing Global Navigation Satellite System (GNSS) data. In some embodiments, the method includes receiving a first estimate from a navigation engine of a Global Navigation Satellite System (GNSS) receiver, and processing the first estimate with a first Kalman smoother.

Abstract: In one embodiment, a system is provided that is operable to: predict satellite states using historical satellite state data for at least one satellite of a satellite-based positioning system; derive sets of parameters representative of the predicted satellite states; differentially compress the sets parameters into sets of compressed parameters; transmit the sets of compressed parameters to a client device over a first communication channel; uncompress the sets of compressed parameters into sets of recovered parameters; selectively reconstruct at least one reconstructed satellite state in the client device using the sets of recovered parameters; and determine the position of the client device using the at least one reconstructed satellite state along with timing information of satellite data received over a second communication channel.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for a spanned time period using predictions of future satellite states. These predictions include predictions of satellite clock bias. During the spanned time period, broadcast ephemeris is received such that a broadcast-ephemeris-derived satellite clock bias may be determined. The predictions of satellite clock bias subsequent to the receipt of the broadcast ephemeris may then be corrected based upon the broadcast-ephemeris-derived satellite clock bias.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for extended time periods. A client device is disclosed that stores satellite states determined from broadcast ephemeris and numerically integrates equations of motion with regard to the stored satellite states to determine current satellites states. The client device uses the current satellite states in conjunction with received satellite signals to determine where the satellite signals were received.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for extended time periods. A server or client device receives or collects historical state data of satellites of a satellite-based positioning system and generates predictions of future satellite trajectories for future time periods. When a server generates the predictions, the predictions are subsequently transferred to a client device. The client device selects predictions appropriate to time of interest. The time can be any time during a period of at least seven calendar days. The client device reconstructs satellite states using information on the predictions and uses the reconstructed satellite states to acquire satellite signals as appropriate to the current location and time of the client device. The client device determines and/or tracks its position using information of the satellite states and timing information of the satellite signals.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for a spanned time period using predictions of future satellite states. These predictions include predictions of satellite clock bias. During the spanned time period, broadcast ephemeris is received such that a broadcast-ephemeris-derived satellite clock bias may be determined. The predictions of satellite clock bias subsequent to the receipt of the broadcast ephemeris may then be corrected based upon the broadcast-ephemeris-derived satellite clock bias.

Abstract: In one embodiment, a system is provided that is operable to: predict satellite states using historical satellite state data for at least one satellite of a satellite-based positioning system; derive sets of parameters representative of the predicted satellite states; differentially compress the sets parameters into sets of compressed parameters; transmit the sets of compressed parameters to a client device over a first communication channel; uncompress the sets of compressed parameters into sets of recovered parameters; selectively reconstruct at least one reconstructed satellite state in the client device using the sets of recovered parameters; and determine the position of the client device using the at least one reconstructed satellite state along with timing information of satellite data received over a second communication channel.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for extended time periods. A server or client device receives or collects historical state data of satellites of a satellite-based positioning system and generates predictions of future satellite trajectories for future time periods. When a server generates the predictions, the predictions are subsequently transferred to a client device. The client device selects predictions appropriate to time of interest. The time can be any time during a period of at least seven calendar days. The client device reconstructs satellite states using information on the predictions and uses the reconstructed satellite states to acquire satellite signals as appropriate to the current location and time of the client device. The client device determines and/or tracks its position using information of the satellite states and timing information of the satellite signals.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for extended time periods. A client device is disclosed that stores satellite states determined from broadcast ephemeris and numerically integrates equations of motion with regard to the stored satellite states to determine current satellites states. The client device uses the current satellite states in conjunction with received satellite signals to determine where the satellite signals were received.

Abstract: Devices and methods are described for determining position information without broadcast ephemeris data for extended time periods. A server or client device receives or collects historical state data of satellites of a satellite-based positioning system and generates predictions of future satellite trajectories for future time periods. When a server generates the predictions, the predictions are subsequently transferred to a client device. The client device selects predictions appropriate to time of interest. The time can be any time during a period of at least seven calendar days. The client device reconstructs satellite states using information on the predictions and uses the reconstructed satellite states to acquire satellite signals as appropriate to the current location and time of the client device. The client device determines and/or tracks its position using information of the satellite states and timing information of the satellite signals.