AoA/AoD CALCULATION WITH LOW ANGLE OF INCIDENCE

1 . A receiver circuit, comprising:

one or more receiver antennas or one or more receiver antenna arrays configured to receive a plurality of RF signals transmitted from a transmitter circuit comprising one or more transmit antennas or one or more transmit antenna arrays;

one or more RF chains configured to generate a plurality of digitized samples of the received RF signals; and

a controller configured to select at least one of a particular receiver antenna array and a particular transmit antenna array, and to at least one of:

calculate a first angle of arrival (AoA) based on digitized samples of RF signals from the selected particular receiver antenna array, and

calculate a first angle of departure (AoD) based on digitized samples of RF signals from the selected particular transmit antenna array,

wherein the controller is further configured to at least one of:

determine whether the absolute value of the first AoA minus π/2 is less than or equal to an AoA threshold angle, and

determine whether the absolute value of the first AoD minus π/2 is less than or equal to an AoD threshold angle,

wherein the controller is further configured to, in response to the absolute value of the first AoA minus π/2 not being less than or equal to the AoA threshold angle:

select a different receiver antenna array, and

calculate a second AoA based on digitized samples of RF signals from the selected different receiver antenna array, and

wherein the controller is further configured to, in response to the absolute value of the first AoD minus π/2 not being less than or equal to the AoD threshold angle:

select a different transmit antenna array, and

calculate a second AoD based on digitized samples of RF signals from the selected different transmit antenna array.

2 . The receiver circuit of claim 1 , wherein the AoD threshold angle is equal to 1/2 π/(2(N−1)), wherein N is equal to the number of transmit antenna arrays of the transmitter circuit, and wherein the AoA threshold angle is equal to 1/2 π/(2(M−1)), wherein M is equal to the number of receiver antenna arrays of the receiver circuit.

3 . The receiver circuit of claim 2 , wherein N=2.

4 . The receiver circuit of claim 2 , wherein M=2.

5 . The receiver circuit of claim 2 , wherein at least one of N and M is greater than 2.

6 . The receiver circuit of claim 1 , wherein the controller is further configured to, in response to the absolute value of the first AoA minus π/2 not being less than or equal to the AoA threshold angle:

determine whether the absolute value of the second AoA minus π/2 is less than or equal to the AoA threshold angle; and

in response to the absolute value of the second AoA minus π/2 being less than or equal to the AoA threshold angle, calculate an estimated AoA based on the second AoA.

7 . The receiver circuit of claim 6 , wherein calculating the estimated AoA based on the second AoA comprises calculating one or more additional AoAs based on digitized samples of RF signals from the selected different receiver antenna array, and calculating the estimated AoA based on an average of the second and the additional AoAs.

8 . The receiver circuit of claim 1 , wherein the controller is further configured to, in response to the absolute value of the first AoD minus π/2 not being less than or equal to the AoD threshold angle:

determine whether the absolute value of the second AoD minus π/2 is less than or equal to the AoD threshold angle; and

in response to the absolute value of the second AoD minus π/2 being less than or equal to the AoD threshold angle, calculate an estimated AoD based on the second AoA.

9 . The receiver circuit of claim 8 , wherein calculating the estimated AoD based on the second AoD comprises calculating one or more additional AoDs based on digitized samples of RF signals from the selected different transmit antenna array, and calculating the estimated AoD based on an average of the second and the additional AoDs.

10 . The receiver circuit of claim 1 , determining whether the absolute value of the first AoA minus π/2 is less than or equal to the AoA threshold angle comprises determining whether the particular receiver antenna array is more perpendicular to the transmitter circuit than any other receiver antenna array of the receiver circuit, and wherein determining whether the absolute value of the first AoD minus π/2 is less than or equal to the AoD threshold angle comprises determining whether the particular transmit antenna array is more perpendicular to the receiver circuit than any other transmit antenna array of the transmitter circuit.

11 . A method of using a receiver circuit, the method comprising:

with one or more receiver antennas or one or more receiver antenna arrays, receiving a plurality of RF signals transmitted from a transmitter circuit comprising one or more transmit antennas or one or more transmit antenna arrays;

with one or more RF chains, generating a plurality of digitized samples of the received RF signals; and

with a controller, selecting at least one of a particular receiver antenna array and a particular transmit antenna array, and at least one of:

calculating a first angle of arrival (AoA) based on digitized samples of RF signals from the selected particular receiver antenna array, and

calculating a first angle of departure (AoD) based on digitized samples of RF signals from the selected particular transmit antenna array;

with the controller, at least one of:

determining whether the absolute value of the first AoA minus π/2 is less than or equal to an AoA threshold angle, and

determining whether the absolute value of the first AoD minus π/2 is less than or equal to an AoD threshold angle;

with the controller, in response to the absolute value of the first AoA minus π/2 not being less than or equal to the AoA threshold angle:

selecting a different receiver antenna array, and

calculating a second AoA based on digitized samples of RF signals from the selected different receiver antenna array; and

with the controller, in response to the absolute value of the first AoD minus π/2 not being less than or equal to the AoD threshold angle:

selecting a different transmit antenna array, and

calculating a second AoD based on digitized samples of RF signals from the selected different transmit antenna array.

12 . The method of claim 11 , wherein the AoD threshold angle is equal to 1/2 π/(2(N−1)), wherein N is equal to the number of transmit antenna arrays of the transmitter circuit, and wherein the AoA threshold angle is equal to 1/2 π/(2(M−1)), wherein M is equal to the number of receiver antenna arrays of the receiver circuit.

13 . The method of claim 12 , wherein N=2.

14 . The method of claim 12 , wherein M=2.

15 . The method of claim 12 , wherein at least one of N and M is greater than 2.

16 . The method of claim 11 , further comprising, with the controller, in response to the absolute value of the first AoA minus π/2 not being less than or equal to the AoA threshold angle:

determining whether the absolute value of the second AoA minus π/2 is less than or equal to the AoA threshold angle; and

in response to the absolute value of the second AoA minus π/2 being less than or equal to the AoA threshold angle, calculating an estimated AoA based on the second AoA.

17 . The method of claim 16 , wherein calculating the estimated AoA based on the second AoA comprises calculating one or more additional AoAs based on digitized samples of RF signals from the selected different receiver antenna array, and calculating the estimated AoA based on an average of the second and the additional AoAs.

18 . The method of claim 11 , further comprising, with the controller, in response to the absolute value of the first AoD minus π/2 not being less than or equal to the AoD threshold angle:

determining whether the absolute value of the second AoD minus π/2 is less than or equal to the AoD threshold angle; and

in response to the absolute value of the second AoD minus π/2 being less than or equal to the AoD threshold angle, calculating an estimated AoD based on the second AoA.

19 . The method of claim 18 , wherein calculating the estimated AoD based on the second AoD comprises calculating one or more additional AoDs based on digitized samples of RF signals from the selected different transmit antenna array, and calculating the estimated AoD based on an average of the second and the additional AoDs.

20 . The method of claim 11 , wherein determining whether the absolute value of the first AoA minus π/2 is less than or equal to the AoA threshold angle comprises determining whether the particular receiver antenna array is more perpendicular to the transmitter circuit than any other receiver antenna array of the receiver circuit, and wherein determining whether the absolute value of the first AoD minus π/2 is less than or equal to the AoD threshold angle comprises determining whether the particular transmit antenna array is more perpendicular to the receiver circuit than any other transmit antenna array of the transmitter circuit.