System and method for synthetic aperture based position, navigation, and timing
A system and method for estimating the position of a receiver and/or timing information for a receiver based on emissions from radio signal sources meant for applications other than position/navigation/time (PNT) estimation.
1. A method for determining the location of a receiver:
a. receiving at a receiver:
i. receiving a signal of Opportunity (SoOP) from a first satellite at a first time;
ii. receiving a SoOP from a first satellite at a second time;
iii. receiving a SoOP from a second satellite at a third time;
iv. receiving a SoOP from a second satellite at a fourth time;
b. determining a location of the receiver based on each received SoOP from the first and second satellite and an expected time of arrival based on the expected relative movement between each satellite and the receiver;
wherein the received SoOPs are emissions meant for applications other than position/navigation/time (PNT) estimation.
2. The method of claim 1 wherein the first and second satellites are in low earth orbit.
3. The method of claim 1 wherein the step of determining a location of the receiver uses a maximum likelihood time of arrival estimate of the SoOPs received from the first and second satellite.
4. The method of claim 1 further comprising the step of computing an expected time of arrival of the SoOPs at the receiver.
5. The method of claim 1 wherein the step of determining the location of the receiver uses a time warp factor based on the expected movement between the first satellite and the receiver.
6. A method for determining the location of a receiver:
a. receiving at a receiver:
i. receiving a signal of Opportunity (SoOP) from a first satellite at a first time;
ii. receiving a SoOP from a first satellite at a second time;
iii. receiving a SoOP from a second satellite at a third time;
iv. receiving a SoOP from a second satellite at a fourth time;
b. determining a location of the receiver based on each received SoOP from the first and second satellite and an expected time of arrival based on the expected relative movement between each satellite and the receiver;
c. computing an expected time of arrival of the SoOPs at the receiver;
wherein the step of determining a location of the receiver uses a weighted sum of the variances between the received SoOPs from the first and second satellites and expected times of arrival of the SoOPs.
7. The method of claim 6 wherein the weighted sum is computed as a function of a measurement quality of the SoOPs and the number of measurements available.
8. The method of claim 6 wherein the expected times of arrival of the SoOPs are computed as a function of a candidate geographic location of the receiver and an estimated emitter time ambiguity of the transmitting satellite.
9. The method of claim 8 wherein the received SoOPs are spot beams and the estimated emitter time ambiguity is estimated from a PN shift associated with the spot beams.
10. The method of claim 9 wherein the PN shift associated with the spot beams is estimated by the receiver based on a coarse estimation of the location of the receiver and an orientation of the transmitting satellite with respect to the earth.
11. A system for determining the location of a receiver, comprising:
a receiver, comprising:
a memory for storing computer readable code;
a processor operatively coupled to the memory, the processor configured to:
receive a signal of Opportunity (SoOP) from a first satellite at a first time;
receive a SoOP from a first satellite at a second time;
receive a SoOP from a second satellite at a third time;
receive a SoOP from a second satellite at a fourth time;
determine a location of the receiver based on each received SoOP from the first and second satellite and an expected time of arrival based on the expected relative movement between each satellite and the receiver; and
wherein the received SoOPs are emissions meant for applications other than position/navigation/time (PNT) estimation.
12. The system of claim 11 wherein the first and second satellites are in low earth orbit.
13. The system of claim 11 wherein the processor is further configured to determine a location of the receiver uses a maximum likelihood time of arrival estimate of the SoOPs received from the first and second satellite.
14. The system of claim 11 wherein the processor is further configured to compute an expected time of arrival of the SoOPs at the receiver.
15. The system of claim 11 wherein the processor is further configured to determine the location of the receiver using a time warp factor based on the expected movement between the first satellite and the receiver.
16. A system for determining the location of a receiver, comprising:
a receiver, comprising:
a memory for storing computer readable code;
a processor operatively coupled to the memory, the processor configured to:
receive a signal of Opportunity (SoOP) from a first satellite at a first time;
receive a SoOP from a first satellite at a second time;
receive a SoOP from a second satellite at a third time;
receive a SoOP from a second satellite at a fourth time;
determine a location of the receiver based on each received SoOP from the first and second satellite and an expected time of arrival based on the expected relative movement between each satellite and the receiver; and
wherein the processor is further configured to use a weighted sum of the variances between the received SoOPs from the first and second satellites and expected times of arrival of the SoOPs.
17. The system of claim 16 wherein the weighted sum is computed as a function of a measurement quality of the SoOPs and the number of measurements available.
18. The system of claim 16 wherein the expected times of arrival of the SoOPs are computed as a function of a candidate geographic location of the receiver and an estimated emitter time ambiguity of the transmitting satellite.
19. The system of claim 18 wherein the received SoOps are spot beams and the estimated emitter time ambiguity is estimated from a PN shift associated with the spot beams.
20. The system of claim 19 wherein the PN shift associated with the spot beams is estimated by the processor based on a coarse estimation of the location of the receiver and an orientation of the transmitting satellite with respect to the earth.