Over-the-air testing of millimeter wave antenna arrays

1. A method for determining a far-field (FF) pattern of wireless signals generated by a device under test (DUT), wherein the DUT includes an antenna array comprising a plurality of DUT antenna elements, the method comprising:

obtaining a plurality of probe-based field measurements of the wireless signals generated by the DUT;

computing a set of FF scaling factors, using the plurality of probe-based field measurements and a set of calibration coefficients, a quantity of the set of FF scaling factors being equal to a quantity of a set of reference DUT FF base functions;

determining the FF pattern of wireless signals based on the FF scaling factors and the set of reference DUT FF base functions;

wherein the FF pattern of wireless signals generated by the DUT is useable to assess operation of the DUT in the FF.

2. The method of claim 1 ,

wherein the obtaining is performed by a probe antenna system (PAS) having a plurality of PAS antenna elements, wherein the plurality of PAS elements is equal to or greater than the plurality of DUT antenna elements.

3. The method of claim 1 ,

wherein obtaining the plurality of field measurements of the wireless signals generated by the DUT comprises:

configuring the plurality of antenna elements of the DUT with certain beamformer settings while driving a beamformer with a signal; and

measuring, at at least one frequency, amplitude and phase of a plurality of electromagnetic fields generated by the plurality of antenna elements of the DUT.

4. The method of claim 1 , further comprising:

determining the set of reference DUT FF base functions by:

obtaining a set of reference DUT FF patterns generated by a plurality of antenna elements of a reference DUT under a set of different beamformer settings, such that the set of reference DUT FF patterns is useable to enable the calculation of a beamformer setting-specific FF pattern as a linear combination of the set of reference DUT FF patterns;

wherein the set of reference DUT FF patterns is the set of reference DUT FF base functions; and

generating the calibration coefficients by:

obtaining a series of a plurality of reference DUT probe-based field measurements of the wireless signals generated by the reference DUT under the set of different beamformer settings; and

processing the series of the plurality of reference DUT probe-based field measurements.

5. The method of claim 4 , wherein the series of the reference DUT probe-based field measurements are processed by applying a singular value decomposition method.

6. The method of claim 4 , wherein obtaining the set of reference DUT FF patterns generated by the plurality of antenna elements of the reference DUT under the different beamformer settings comprises:

for each antenna element n of the reference DUT,

configuring the reference DUT to radiate predominantly from the antenna element n using at least one beamformer setting; and

measuring far-field electromagnetic amplitude and phase produced by antenna element n at at least one frequency,

wherein the measurement of the far-field electromagnetic amplitude and phase produced by antenna element n using the at least one beamformer setting results in the reference DUT base function for the antenna element n.

7. The method of claim 6 , further comprising:

for each antenna element n of the reference DUT:

minimizing radiation of the plurality of antenna elements of the reference DUT;

measuring FF electromagnetic amplitude and phase to determine a FF interference pattern;

subtracting the FF interference pattern from the far-field electromagnetic amplitude and phase produced by antenna element n using the at least one beamformer setting.

8. The method of claim 4 , wherein obtaining the series of the plurality of reference DUT probe-based field measurements of the wireless signals generated by the reference DUT under the set of different beamformer settings comprises:

for each antenna element n of the reference DUT:

configuring the reference DUT to radiate only from the antenna element n at at least one frequency using the set of different beamformer settings; and

measuring the plurality of reference DUT probe-based field measurements produced by antenna element n at at least one frequency.

9. The method of claim 8 , further comprising:

for each antenna element n of the reference DUT:

minimizing radiation of the plurality of antenna elements of the reference DUT;

measuring the plurality of reference DUT probe-based field measurements to determine a probe-based interference indication;

subtracting the interference indication from the plurality of reference DUT probe-based field measurements produced by antenna element n for the at least one beamformer setting.

10. The method of claim 4 ,

wherein the set of reference DUT FF patterns comprises phase and amplitude information, wherein the method further comprises:

obtaining a plurality of fixed reference FF measurements of the plurality of antenna elements of the reference DUT under the set of different beamformer settings,

utilizing phase information of the plurality of fixed reference FF measurements to obtain a reference phase for the phase information of the set of reference DUT FF patterns.

11. The method of claim 4 ,

wherein the set of reference DUT FF patterns comprises phase and amplitude information, wherein the method further comprises:

extracting phase information from an input signal driving the wireless signals generated by the DUT,

utilizing the phase information of the input signal to obtain a reference phase for the phase information of the set of reference DUT FF patterns.

12. The method of claim 1 ,

wherein the probe-based field measurements are obtained in the near-field (NF) of the DUT.

13. The method of claim 1 ,

wherein the wireless signals generated by the DUT are generated according to a plurality of sets of beamformer settings of the plurality of DUT antenna elements, and

wherein the plurality of sets of beamformer settings span a vector space of the sets of beamformer settings.

14. The method of claim 13 ,

wherein the plurality of sets of beamformer settings is equal or greater in number than the plurality of DUT antenna elements.

15. The method of claim 1 ,

wherein the plurality of probe-based field measurements comprises phase and amplitude information, wherein the method further comprises:

obtaining a plurality of reference probe field measurements of the wireless signals generated by the DUT,

utilizing phase information of the plurality of reference probe field measurements to obtain a reference phase for the phase information of the plurality of probe-based field measurements.

16. The method of claim 1 ,

wherein the plurality of probe-based field measurements comprises phase and amplitude information, wherein the method further comprises:

extracting phase information from an input signal driving the wireless signals generated by the DUT,

utilizing the phase information of the input signal to obtain a reference phase for the phase information of the plurality of probe-based field measurements.

17. A non-transitory computer readable memory medium comprising program instructions for determining a far-field (FF) pattern of wireless signals generated by a device under test (DUT), wherein the DUT includes an antenna array comprising a plurality of DUT antenna elements, wherein the program instructions are executable by a processor to:

obtain a plurality of probe-based near-field measurements of the wireless signals generated by the DUT, wherein the obtaining is performed by a probe antenna system (PAS) having a plurality of PAS antenna elements, wherein the plurality of PAS elements is equal to or greater than the plurality of DUT antenna elements;

compute a set of DUT FF scaling factors, using the plurality of probe-based near-field measurements and a set of calibration coefficients, a quantity of the set of DUT FF scaling factors being equal to a quantity of a set of reference DUT FF base functions;

determine the FF pattern of wireless signals based on the DUT FF scaling factors and the set of reference DUT base functions;

wherein the FF pattern of wireless signals generated by the DUT are useable to assess operation of the DUT in the FF.

18. The non-transitory computer readable memory medium of claim 17 ,

wherein in obtaining the plurality of probe-based near-field measurements of the wireless signals generated by the DUT, the program instructions are executable to:

configure antenna elements of the DUT with certain beamformer settings while driving the beamformer with a signal; and

measure, at at least one frequency, amplitude and phase of electromagnetic fields generated by the plurality of antenna elements of the DUT, with the PAS.

19. The non-transitory computer readable memory medium of claim 17 , wherein the set of calibration coefficients are in the form of a reconstruction matrix;

wherein the program instructions are executable to compute a set of DUT FF scaling factors using the plurality of probe-based field measurements and the reconstruction matrix.

20. The non-transitory computer readable memory medium of claim 17 , wherein the program instructions are executable to:

determine the set of reference DUT FF base functions by:

obtaining a set of reference DUT FF patterns generated by a plurality of antenna elements of the reference DUT under a set of different beamformer settings, such that the set of reference DUT FF patterns are useable to enable the calculation of a beamformer setting-specific FF pattern as a linear combination of the set of reference DUT FF patterns;

wherein the set of reference DUT FF patterns is the set of reference DUT FF base functions; and

generate the calibration coefficients by:

obtaining a series of a plurality of reference DUT probe-based near-field measurements of the wireless signals generated by the reference DUT under the set of different beamformer settings; and

processing the series of the plurality of reference DUT probe-based near-field measurements.

21. The non-transitory computer readable memory medium of claim 20 , wherein the program instructions are executable to process the series of the reference DUT probe-based near-field measurements by applying a singular value decomposition method.

22. The non-transitory computer readable memory medium of claim 20 , wherein in obtaining the set of reference DUT FF patterns generated by the plurality of antenna elements of the reference wireless device under the different beamformer settings, the program instructions are executable to:

for each antenna element n of the reference wireless device,

configure the reference wireless device to radiate predominantly from the antenna element n using at least one beamformer setting; and

measure far-field electromagnetic amplitude and phase produced by antenna element n at at least one frequency,

wherein the measurement of the far-field electromagnetic amplitude and phase produced by antenna element n using the at least one beamformer setting results in the reference DUT base function for the antenna element n.

23. The non-transitory computer readable memory medium of claim 20 , wherein the program instructions are executable to:

for each antenna element n of the reference wireless device:

minimize radiation of the plurality of antenna elements of the reference DUT;

measure FF electromagnetic amplitude and phase to determine a FF interference pattern;

subtract the FF interference pattern from the far-field electromagnetic amplitude and phase produced by antenna element n using the at least one beamformer setting.

24. The non-transitory computer readable memory medium of claim 20 , wherein in obtaining the series of the plurality of reference DUT probe-based field measurements of the wireless signals generated by the reference DUT under the set of different beamformer settings, the program instructions are executable to:

for each antenna element n of the reference DUT:

configure the reference DUT to radiate only from the antenna element n at at least one frequency using the set of different beamformer settings; and

measure the plurality of reference DUT probe-based near-field measurements produced by antenna element n at at least one frequency.

25. The non-transitory computer readable memory medium of claim 17 , wherein the program instructions are executable to determine the FF pattern of wireless signals for each of a plurality of different polarizations.

26. A system for determining a far-field (FF) pattern of wireless signals generated by a device under test (DUT), wherein the DUT includes an antenna array comprising a plurality of DUT antenna elements, wherein the system comprises:

a testing apparatus which supports the DUT and a probe antenna system used for measuring electromagnetic signals produced by the DUT; and

a computer system comprising a processor and memory, wherein the memory stores program instructions executable by the processor to:

obtain a plurality of probe-based near-field measurements of the wireless signals generated by the DUT, wherein the obtaining is performed by a probe antenna system (PAS) having a plurality of PAS antenna elements, wherein the plurality of PAS elements is equal to or greater than the plurality of DUT antenna elements;

compute a set of DUT FF scaling factors, using the plurality of probe-based near-field measurements and a set of calibration coefficients, a quantity of the set of DUT FF scaling factors being equal to a quantity of a set of reference DUT FF base functions;

determine the FF pattern of wireless signals based on the DUT FF scaling factors and the set of reference DUT FF base functions;

wherein the FF pattern of wireless signals generated by the DUT are useable to assess operation of the DUT in the FF.