Abstract: A method to establish a position of a device receiving an input signal containing data from a plurality of satellites is disclosed. The method generally includes the steps of (A) calculating (i) an estimated position of the device and (ii) an estimated velocity vector of the device, (B) calculating a plurality of estimated locations of a plurality of pseudo-random code sequences in the input signal based on (i) the estimated position and (ii) the estimated velocity vector and (C) generating the position in an output signal based on the pseudo-random code sequences.

Abstract: A method of last known position reporting in a device is disclosed. The method generally includes the steps of (A) generating a request signal in an application module of the device, the request signal requesting a current position of the device while a plurality of navigation signals are too weak to calculate the current position, (B) calculating a sequence of known positions in a position module of the device, the known positions being calculated based on the navigation signals with sufficient strength, (C) calculating the current position in the position module in response to the request signal, the current position being calculated based on a last of the known positions and (D) generating a position signal in the position module, the position signal reporting the current position as a valid position to the application module.

Abstract: A method to reduce power consumption in a device is disclosed. The method generally includes the steps of (A) generating a plurality of pseudorange signals by tracking a plurality of position signals received from a plurality of satellites in a positioning system, at least one of the position signals from each one of the satellites respectively, (B) calculating both an initial position and an initial time bias from the pseudorange signals using a processing capability of the device at a normal capacity and (C) calculating both an updated position and an updated time bias using the processing capability reduced to a first capacity, wherein the first capacity (i) consumes less power than the normal capacity and (ii) is suitable to process the updated position and the updated time bias using a limited number comprising less than all of the pseudorange signals.

Abstract: A method of variable rate measurements in a device. The method generally includes the steps of (A) generating an intermediate signal conveying both a position of the device and a velocity of the device in response to a plurality of navigation signals received from external the device, (B) calculating an extrapolated position of the device at a second time based on the position and the velocity both measured at a first time, (C) adjusting an interval between the second time and a third time in response to a difference between the extrapolated position and the position measured at the second time and (D) generating a position signal conveying the position and the velocity, wherein the third time occurs after the second time and the second time occurs after the first time.

Abstract: A method for establishing a position of a device is disclosed. The method generally includes the steps of (A) receiving an input signal from a receiver listening to a plurality of satellites in a positioning system, (B) calculating (i) a plurality of estimated Doppler shifts of the satellites, (ii) an estimated position of the device and (iii) an estimated velocity of the device, (C) generating a plurality of pseudo-ranges in an intermediate signal based on all of (i) the input signal, (ii) the estimated Doppler shifts, (iii) the estimated position and (iv) the estimated velocity and (D) generating the position in an output signal based on the pseudo-ranges.