RF carrier synchronization and phase alignment methods and systems

1. A method for synchronization and positioning, comprising:

receiving, at a first antenna at a receiver, a known signal generated at a transmitter;

receiving the known signal at a second antenna at the receiver, wherein the known signal received at the second antenna is shifted in phase from the known signal received at the first antenna as a result of a path delay difference;

plotting a first arbitrary set of phase corrections and finding a first phase offset corresponding to a first set with even function symmetry within the first arbitrary set of phase corrections, thereby determining the first phase offset for the known signal received at the first antenna;

plotting a second arbitrary set of phase corrections and finding a second phase offset corresponding to a second set with even function symmetry within the second arbitrary set of phase corrections, thereby determining the second phase offset for the known signal received at the second antenna;

calculating an angle of arrival for the known signal from the transmitter based on the first and the second phase offset for the known signal as received at the first antenna and the second antenna; and

calculating a positioning vector for a direction of the transmitter.

2. The method of claim 1 , further comprising performing a synchronization of the transmitter and the receiver.

3. The method of claim 2 , further comprising calculating a synchronization offset by determining a cumulative phase measurement associated with baseband signal samples having a baseband signal magnitude greater than a threshold.

4. The method of claim 3 , further comprising calculating the synchronization offset by determining an offset frequency rotation based on an estimated correlation between the in-phase signal samples and the quadrature signal samples.

5. The method of claim 1 , further comprising performing a round-trip time measurement, calculating a distance between the transmitter and the receiver using the round-trip time, and calculating a position of the transmitter in two-dimensional space using the positioning vector.

6. The method of claim 1 , further comprising receiving the known signal at a third antenna, calculating a third phase offset for the known signal received at the third antenna, and calculating a three-dimensional positioning vector for the direction of the transmitter.

7. The method of claim 6 , further comprising performing a round-trip time measurement, calculating a distance between the transmitter and the receiver using the round-trip time, and calculating a position of the transmitter in three-dimensional space using the three-dimensional positioning vector.

8. The method of claim 1 , further comprising receiving the known signal at multiple additional antennas, and obtaining additional angle of arrival measurements, thereby obtaining additional accuracy.

9. The method of claim 1 , further comprising synchronizing clocks at the transmitter and the receiver, and synchronizing one or more backhaul channels using the synchronized clocks at the transmitter and the receiver to provide increased throughput on the one or more backhaul channels.

10. The method of claim 1 , further comprising repeating the method using a finer granularity to increase the accuracy of the angle of arrival calculation.

11. A system for locating a transmitter, comprising:

a processor configured to process baseband signal samples;

a first antenna coupled to the processor and configured to provide baseband signal samples to the processor;

a second antenna coupled to the processor and configured to provide baseband signal samples to the processor; and

a memory containing instructions that, when executed, cause the processor to perform steps including:

receiving, at the first antenna, a known signal generated at a transmitter;

receiving the known signal at the second antenna, wherein the known signal received at the second antenna is shifted in phase from the known signal received at the first antenna as a result of path delay;

plotting a first arbitrary set of phase corrections and finding a first phase offset corresponding to a first set with even function symmetry within the first arbitrary set of phase corrections, thereby determining the first phase offset for the known signal received at the first antenna;

plotting a second arbitrary set of phase corrections and finding a second phase offset corresponding to a second set with even function symmetry within the second arbitrary set of phase corrections, thereby determining the second phase offset for the known signal received at the second antenna;

calculating an angle of arrival for the known signal from the transmitter based on the first and the second phase offset for the known signal as received at the first antenna and the second antenna; and

calculating a positioning vector for a direction of the transmitter.

12. The system of claim 11 , wherein the system is a cellular base station.

13. The system of claim 11 , wherein the system is a Wi-Fi base station.

14. The system of claim 11 , wherein the system is a multiple-in, multiple-out (MIMO) antenna system.

15. The system of claim 11 , further comprising a second system time-synchronized with the system.

16. The system of claim 15 , wherein the system and the second system are time-synchronized using one of a cumulative phase measurement, an offset frequency rotation, or a residual correlation.