Method and apparatus for determining location using phase difference of arrival
An ultra-wideband (“UWB”) communication system comprising a transmitter and a receiver having two antennas. An UWB signal transmitted by the transmitter is received at each of the antennas. By comparing the carrier phases of the received signals, the phase difference can be determined. From this phase difference and the known distance, d, between the antennas, the Cartesian (x, y) location of the transmitter relative to the receiver can be directly determined.
1. A method comprising:
developing a range between a transmitter of a transmitted signal and one of:
a first antenna of a receiver that received the transmitted signal; or
a second antenna of the receiver that received the transmitted signal;
developing a first phase value as a function of a complex baseband impulse response of the transmitted signal received at the first antenna;
developing a second phase value as a function of a complex baseband impulse response of the transmitted signal received at the second antenna;
developing a path difference value as a function of the first phase value and the second phase value; and
developing a location of the transmitter relative to the receiver as a function of the range, the path difference value, and a distance between the first antenna and the second antenna.
2. The method of claim 1 , further comprising:
receiving the transmitted signal from the first antenna of the receiver; and
receiving the transmitted signal from the second antenna of the receiver.
3. The method of claim 1 , wherein the distance is less than or equal to one half a wavelength of the transmitted signal.
4. The method of claim 1 , wherein developing the path difference value as the function of the first phase value and the second phase value comprises developing the path difference value as a function of the first phase value and the second phase value and a calibration function.
5. A non-transitory computer readable medium including executable instructions, that when executed by a processor, cause a system to:
develop a range between a transmitter of a transmitted signal and one of:
a first antenna of a receiver that received the transmitted signal; or
a second antenna of the receiver that received the transmitted signal;
develop a first phase value as a function of a complex baseband impulse response of the transmitted signal received at the first antenna;
develop a second phase value as a function of a complex baseband impulse response of the transmitted signal received at the second antenna;
develop a path difference value as a function of the first phase value and the second phase value; and
develop a location of the transmitter relative to the receiver as a function of the range, the path difference value, and a distance between the first antenna and the second antenna.
6. The non-transitory computer readable medium of claim 5 , wherein the non- transitory computer readable medium further includes executable instructions, that when executed by the processor, cause the system to:
receive the transmitted signal from the first antenna of the receiver; and
receive the transmitted signal from the second antenna of the receiver.
7. The non-transitory computer readable medium of claim 5 , wherein developing the path difference value as the function of the first phase value and the second phase value comprises developing the path difference value as a function of the first phase value and the second phase value and a calibration function.
8. The non-transitory computer readable medium of claim 5 , wherein the system is an RF receiver.
9. The non-transitory computer readable medium of claim 5 , wherein the system is an RF transceiver.
10. The non-transitory computer readable medium of claim 5 , wherein system is an RF communication system.
11. The non-transitory computer readable medium of claim 5 , wherein the system is a location determination circuit.
12. The non-transitory computer readable medium of claim 5 , wherein the distance is less than or equal to one half a wavelength of the transmitted signal.
13. A device, comprising:
a processor; and
a non-transitory computer readable medium including executable instructions, that when executed by the processor, cause the device to:
develop a range between a transmitter of a transmitted signal and one of:
a first antenna of a receiver that received the transmitted signal; or
a second antenna of the receiver that received the transmitted signal;
develop a first phase value as a function of a complex baseband impulse response of the transmitted signal received at the first antenna;
develop a second phase value as a function of a complex baseband impulse response of the transmitted signal received at the second antenna;
develop a path difference value as a function of the first phase value and the second phase value; and
develop a location of the transmitter relative to the receiver as a function of the range, the path difference value, and a distance between the first antenna and the second antenna.
14. The device of claim 13 , wherein the non-transitory computer readable medium further includes executable instructions, that when executed by the processor, cause the device to:
receive the transmitted signal from the first antenna of the receiver; and
receive the transmitted signal from the second antenna of the receiver.
15. The device of claim 13 , wherein developing the path difference value as the function of the first phase value and the second phase value comprises developing the path difference value as a function of the first phase value and the second phase value and a calibration function.
16. The device of claim 13 , wherein the device is an RF receiver.
17. The device of claim 13 , wherein the device is an RF transceiver.
18. The device of claim 13 , wherein the device is an RF communication system.
19. The device of claim 13 , wherein the device is a location determination circuit.
20. The device of claim 13 , wherein the distance is less than or equal to one half a wavelength of the transmitted signal.