Calibrating array antennas based on signal energy distribution as a function of angle
A radar detection method with receive antenna calibration includes: forming a detection matrix from signals detected by an arrangement of receive antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows corresponding to the chirps, multiple columns corresponding to a sample of the signals, and multiple planes corresponding the receive antennas; deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix; deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix; deriving a direction-of-arrival matrix by performing a frequency transform on a portion of one or more layers of the velocity matrix; analyzing the direction-of-arrival matrix to determine a current peak width; and adjusting, based on the current peak width, phase shifts associated with one or more antennas.
1. A radar detection method with receive antenna calibration, the method comprising:
forming a detection matrix from signals detected by an arrangement of receive antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows each corresponding to one of said chirps, multiple columns each corresponding to a sample of said signals, and multiple planes each corresponding to one of said receive antennas;
deriving a direction-of-arrival matrix from the detection matrix;
analyzing the direction-of-arrival matrix to determine a current peak width; and
tuning, based on the current peak width, phase shifts associated with one or more of the receive antennas to concentrate energy distribution in a calibration process that enhances a collective radiation pattern by narrowing effective beam width of the receive antennas, wherein, following calibration, peak gain of side lobes around a current peak-in the collective radiation pattern is closer to zero skewness as a function of azimuthal angle than before the calibration, and
wherein, following the calibration, energy associated with the signals is concentrated into a smaller number of velocity bins.
2. The method of claim 1 , wherein said deriving the direction-of-arrival matrix includes:
deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix;
deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix; and
performing a frequency transform on a portion of one or more layers of the velocity matrix.
3. The radar detection method of claim 1 , wherein adjusting the phase shifts associated with one or more of the receive antennas comprises repeating said operations of forming, deriving a range matrix, extracting, deriving a direction-of-arrival matrix, and analyzing to iteratively minimize the current peak width.
4. The radar detection method of claim 1 , wherein adjusting the phase shifts associated with one or more of the receive antennas comprises controlling one or more phase shifters conveying the signals from the receive antennas in said arrangement.
5. The radar detection method of claim 1 , wherein forming the detection matrix from signals detected by the arrangement of receive antennas comprises processing the signals using a digital signal processor to add respective phase shifts as determined by said adjusting operation.
6. The radar detection method of claim 1 , wherein the chirps transmitted by the arrangement of one or more transmit antennas comprise chirps transmitted by exactly one transmit antenna.
7. A radar detection method with transmit antenna calibration, the method comprising:
forming a detection matrix from signals detected by an arrangement of receive antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows each corresponding to one of said chirps, multiple columns each corresponding to a sample of said signals, and multiple layers each corresponding to one of said receive antennas;
deriving a direction-of-arrival matrix from the detection matrix;
analyzing the direction-of-arrival matrix to determine a peak width; and
tuning phase shifts associated with one or more of the transmit antennas to concentrate energy distribution in a calibration process that enhances a collective radiation pattern by narrowing effective beam width of the receive antennas, wherein, following calibration, peak gain of side lobes around a current peak in the collective radiation pattern is closer to zero skewness as a function of azimuthal angle than before the calibration, and
wherein, following the calibration, energy associated with the signals is concentrated into a smaller number of velocity bins.
8. The method of claim 7 , wherein said deriving the direction-of-arrival matrix includes:
deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix;
deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix; and
performing a frequency transform on a portion of one or more layers of the velocity matrix.
9. The radar detection method of claim 7 , wherein adjusting the phase shifts associated with one or more of the transmit antennas comprises repeating said operations of forming, deriving a range matrix, extracting, deriving a velocity matrix, and analyzing to iteratively minimize the current peak width.
10. The radar detection method of claim 7 , wherein adjusting the phase shifts associated with one or more of the transmit antennas comprises controlling one or more phase shifters that convey the chirps to the transmit antennas in said arrangement.
11. The radar detection method of claim 7 , wherein the signals detected by the arrangement of one or more receive antennas comprise signals detected by exactly one receive antenna.
12. A radar transceiver that comprises:
one or more transmitter circuits configured to drive a transmit antenna arrangement to emit a signal towards one or more objects;
an arrangement of receivers, wherein each receiver is configured to detect a signal from a receive antenna during a detection period, each receive antenna having an associated phase shift that is adjustable relative to the other receiver antennas, and wherein each of the detected signals corresponds to the emitted signal;
a processor coupled to the one or more transmitter circuits and the arrangement of receivers, wherein the processor is configured to perform a method comprising:
forming a detection matrix from signals detected by an arrangement of receive antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows each corresponding to one of said chirps, multiple columns each corresponding to a sample of said signals, and multiple planes each corresponding to one of said receive antennas;
deriving a direction-of-arrival matrix from the detection matrix;
analyzing the direction-of-arrival matrix to determine a current peak width; and
tuning, based on the current peak width, phase shifts associated with one or more of the receive antennas to concentrate energy distribution in a calibration process that enhances a collective radiation pattern by narrowing effective beam width of the receive antennas, wherein, following calibration, peak gain of side lobes around a current peak in the collective radiation pattern is closer to zero skewness as a function of azimuthal angle than before the calibration, and
wherein, following the calibration, energy associated with the signals is concentrated into a smaller number of velocity bins.
13. The radar transceiver of claim 12 , wherein said deriving the direction-of-arrival matrix includes:
deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix;
deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix; and
performing a frequency transform on a portion of one or more layers of the velocity matrix.
14. The radar transceiver of claim 12 , wherein adjusting the phase shifts associated with one or more of the receive antennas comprises repeating said operations of forming, deriving a range matrix, deriving a velocity matrix, deriving a direction-of-arrival matrix and analyzing to iteratively minimize the current peak width.
15. The radar transceiver of claim 12 , wherein adjusting the phase shifts associated with one or more of the receive antennas comprises controlling one or more phase shifters conveying the signals from the receive antennas in said arrangement.
16. The radar transceiver of claim 12 , wherein forming the detection matrix from the detected signals comprises processing the detected signals to add respective phase shifts as determined by said adjusting operation.
17. The radar transceiver of claim 12 , wherein the chirps transmitted by the arrangement of one or more transmit antennas chirps transmitted by exactly one transmit antenna.
18. A radar transceiver that comprises:
one or more transmitter circuits configured to drive a transmit antenna arrangement to emit a signal towards one or more objects, each transmit antenna in the arrangement having an associated phase shift that is adjustable relative to the other transmit antennas, the emitted signal comprising a plurality of chirps;
an arrangement of receivers, wherein each receiver is configured to detect a signal from a receive antenna during a detection period, and wherein each of the detected signals corresponds to the emitted signal;
a processor coupled to the one or more transmitter circuits and the arrangement of receivers, wherein the processor is configured to perform a method comprising:
forming a detection matrix from signals detected by an arrangement of receive antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows each corresponding to one of said chirps, multiple columns each corresponding to a sample of said signals, and multiple layers each corresponding to one of said receive antennas;
deriving a direction-of-arrival matrix from the detection matrix;
analyzing the direction-of-arrival matrix to determine a current peak width; and
tuning, based on the current peak width, phase shifts associated with one or more of the transmit antennas to concentrate energy distribution in a calibration process that enhances a collective radiation pattern by narrowing effective beam width of the receive antennas, wherein, following calibration, peak gain of side lobes around a current peak in the collective radiation pattern is closer to zero skewness as a function of azimuthal angle than before the calibration, and
wherein, following the calibration, energy associated with the signals is concentrated into a smaller number of velocity bins.
19. The radar transceiver of claim 18 , wherein said deriving the direction-of-arrival matrix includes:
deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix;
deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix; and
performing a frequency transform on a portion of one or more layers of the velocity matrix.
20. The radar transceiver of claim 18 , wherein adjusting the phase shifts associated with one or more of the transmit antennas comprises repeating said operations of forming, deriving a range matrix, deriving a velocity matrix, deriving a direction-of-arrival matrix, and analyzing to iteratively minimize the current peak width.
21. The radar transceiver of claim 18 , wherein adjusting the phase shifts associated with one or more of the transmit antennas comprises controlling one or more phase shifters that convey the chirps to the transmit antennas in said arrangement.
22. The radar transceiver of claim 18 , wherein the signals detected by the arrangement of one or more receive antennas comprise signals detected by exactly one receive antenna.
23. A system for calibrating antennas, the system comprising a non-transitory computer readable medium storing instructions executable by a processor, wherein the instructions comprise instructions to:
forming a detection matrix from signals detected by an arrangement of antennas in response to chirps transmitted by an arrangement of transmit antennas, the detection matrix having multiple rows each corresponding to one of said chirps, multiple columns each corresponding to a sample of said signals, and multiple planes each corresponding to one of said antennas;
deriving a range matrix by performing a frequency transform on a portion of each row of the detection matrix;
deriving a velocity matrix by performing a frequency transform on a portion of each column of the range matrix;
deriving a direction-of-arrival matrix by performing a frequency transform on a portion of one or more layers of the velocity matrix;
analyzing the direction-of-arrival matrix to determine a current peak width; and
tuning, based on the current peak width, phase shifts associated with one or more of the antennas to concentrate energy distribution in a calibration process that enhances a collective radiation pattern by narrowing effective beam width of the receive antennas, wherein, following calibration, peak gain of side lobes around a current peak in the collective radiation pattern is closer to zero skewness as a function of azimuthal angle than before the calibration, and
wherein, following the calibration, energy associated with the signals is concentrated into a smaller number of velocity bins.
24. The radar transceiver of claim 12 , wherein, following the calibration, peak gain of first side lobes around the current peak are closer to zero skewness as a function of azimuthal angle than before the calibration.
25. The radar transceiver of claim 18 , wherein, following the calibration, peak gain of first side lobes around the current peak are closer to zero skewness as a function of azimuthal angle than before the calibration.
26. The radar detection method of claim 1 , wherein, the tuning is repeated over multiple measurement cycles thereby actively calibrating a phase of each of the receive antennas for one or more targets.