Claims Analysis
Total Claims: 12
Claim 1
Independent Claim
189 words
A method for determining a position of a transceiver on the surface of the earth comprising the steps of: a) transmitting a signal from the transceiver in response to a query from a signal from a satellite; b) transmitting the response after a precisely controlled time interval after the transceiver receives the query; c) estimating a length of a propagation path from the satellite to the transceiver from a time delay in the response; d) measuring a Doppler shift in the response from the transceiver; e) estimating a first derivative of a path length from the satellite to the transceiver from the measured Doppler shift; f) estimating the satellite position and velocity from satellite telemetry data; g) determining an angle between the direction of satellite motion and a line of bearing to the transceiver from the first derivative and the satellite position and velocity; and h) determining a position of the transceiver on the surface of the earth as being one of two points where the surface of the earth intersects with a base of a cone defined by the angle in step g) and the estimated path length.
Claim 2
Independent Claim
189 words
A method for determining a position of a transceiver on the surface of the earth comprising the steps of: a) transmitting a signal from the transceiver in response to a query from a signal from a satellite; b) transmitting the response after a precisely controlled time interval after the transceiver receives the query; c) estimating a length of a propagation path from the satellite to the transceiver from a time delay in the response; d) measuring a Doppler shift in the response from the transceiver; e) estimating a first derivative of a path length from the satellite to the transceiver from the measured Doppler shift; f) estimating the satellite position and velocity from satellite telemetry data; g) determining an angle between the direction of satellite motion and a line of bearing to the transceiver from the first derivative and the satellite position and velocity; and h) determining a position of the transceiver on the surface of the earth as being one of two points where the surface of the earth intersects with a base of a cone defined by the angle in step g) and the estimated path length.
Claim 3
Dependent Claim
57 words
The method according to claim 1 , wherein the step g) further comprises determining an angle of arrival θ(1) according to the following equation: θ ( t ) = cos - 1 ( - d . v ) , where v represents the satellite velocity and d represents the first derivative of the path length.
Claim 4
Dependent Claim
53 words
The method according to claim 1 , further comprising the step of: i) determining on which of the two points that the surface of the earth intersects with the base of the cone from step h) the transceiver is located from which satellite beam on the satellite received the response from the transceiver.
Claim 5
Dependent Claim
47 words
The method according to claim 1 , further comprising the step of: i) determining on which of the two points that the surface of the earth intersects with the base of the cone from step h) the transceiver is located by comparing earlier positions of the transceiver.
Claim 6
Dependent Claim
32 words
The method according to claim 1 , further comprising the step of: i) transmitting the response from the transceiver to the satellite using a frequency that is proportional to the incoming frequency.
Claim 7
Independent Claim
189 words
A method for determining a position of a transceiver on the surface of the earth comprising the steps of: a) transmitting a signal from the transceiver in response to a query from a signal from a satellite; b) transmitting the response after a precisely controlled time interval after the transceiver receives the query; c) estimating a length of a propagation path from the satellite to the transceiver from a time delay in the response; d) measuring a Doppler shift in the response from the transceiver; e) estimating a second derivative of the path length from the satellite to the transceiver from the measured Doppler shift; f) estimating the satellite position and velocity from satellite telemetry data; g) determining an angle between the direction of satellite motion and a line of bearing to the transceiver from the second derivative and the satellite position and velocity; and h) determining a position of the transceiver on the surface of the earth as being one of two points where the surface of the earth intersects with a base of a cone defined by the angle in step g) and the estimated path length.
Claim 8
Independent Claim
189 words
A method for determining a position of a transceiver on the surface of the earth comprising the steps of: a) transmitting a signal from the transceiver in response to a query from a signal from a satellite; b) transmitting the response after a precisely controlled time interval after the transceiver receives the query; c) estimating a length of a propagation path from the satellite to the transceiver from a time delay in the response; d) measuring a Doppler shift in the response from the transceiver; e) estimating a second derivative of the path length from the satellite to the transceiver from the measured Doppler shift; f) estimating the satellite position and velocity from satellite telemetry data; g) determining an angle between the direction of satellite motion and a line of bearing to the transceiver from the second derivative and the satellite position and velocity; and h) determining a position of the transceiver on the surface of the earth as being one of two points where the surface of the earth intersects with a base of a cone defined by the angle in step g) and the estimated path length.
Claim 9
Dependent Claim
62 words
The method according to claim 6 , wherein the step g) further comprises determining an angle of arrival θ(t) according to the following equation: θ ( t ) = sin - 1 ( d d ¨ v ) , where v represents the satellite velocity, d represents the path length, and d represents the second derivative of the path length.
Claim 10
Dependent Claim
53 words
The method according to claim 6 , further comprising the step of: i) determining on which of the two points that the surface of the earth intersects with the base of the cone from step h) the transceiver is located from which satellite beam on the satellite received the response from the transceiver.
Claim 11
Dependent Claim
47 words
The method according to claim 6 , further comprising the step of: i) determining on which of the two points that the surface of the earth intersects with the base of the cone from step h) the transceiver is located by comparing earlier positions of the transceiver.
Claim 12
Dependent Claim
32 words
The method according to claim 6 , further comprising the step of: i) transmitting the response from the transceiver to the satellite using a frequency that is proportional to the incoming frequency.