Method and apparatus for accommodating device and/or signal mismatch in a sensor array
View Patent ↗Noise discrimination in signals from a plurality of sensors is conducted by enhancing the phase difference in the signals such that off-axis pick-up is suppressed while on-axis pick-up is enhanced. Alternatively, attenuation/expansion are applied to the signals in a phase difference dependent manner, consistent with suppression of off-axis pick-up and on-axis enhancement. Nulls between sensitivity lobes are widened, effectively narrowing the sensitivity lobes and improving directionality and noise discrimination.
1. A method for accommodating device and/or signal mismatch in a sensor array system having a plurality of sensors configured to generate a plurality of input signals including first and second sensors generating first and second input signals, the plurality of input signals being representable, at least one frequency, by input vectors each having a phase component and a magnitude component, including first and second input vectors, the method comprising:
generating the first and second input signals from the first and second sensors;
processing, using a processor, the first and second input signals, the processing including, at the at least one frequency, using the magnitudes of the first and second input vectors to obtain corresponding first and second magnitude-matched vectors each having a magnitude that is substantially equal to one of an arithmetic mean, a geometric mean, a harmonic mean, or a root-mean-square of the magnitudes of two or more input vectors; and
generating an output signal having a magnitude that is a function of at least one of the first and second magnitude-matched vectors.
2. The method of claim 1 , wherein the device and/or signal mismatch is accommodated at each of a plurality of frequencies.
3. The method of claim 1 , further comprising enhancing an input phase difference of the first and second input vectors.
4. The method of claim 3 , wherein enhancing comprises increasing or decreasing the input phase difference in a frequency-dependent manner using an expansion function.
5. The method of claim 3 , wherein enhancing comprises increasing or decreasing the input phase difference in a frequency-dependent manner using a look-up table.
6. The method of claim 3 , wherein enhancing is performed as a function of an adjustable sharpness parameter.
7. The method of claim 6 , wherein the adjustable sharpness parameter is applied multiplicatively.
8. The method of claim 6 , wherein the adjustable sharpness parameter is a function of frequency.
9. The method of claim 6 , wherein the adjustable sharpness parameter is inversely proportional to frequency such that uniform sensitivity across the frequency spectrum is achieved.
10. The method of claim 6 , wherein the adjustable sharpness parameter has one of multiple values, and its value depends on the sign of the phase difference between the first input vector and the second input vector.
11. The method of claim 3 , wherein the enhancement of the input phase difference is computed using the ratio of the difference to the sum of the magnitudes of a pair of unit vectors corresponding to the first and second input vectors.
12. The method of claim 1 , further comprising attenuating the magnitude-matched vectors by an attenuation factor that is a function of an input phase difference of the first and second input vectors.
13. The method of claim 1 , further comprising combining the magnitude-matched vectors.
14. The method of claim 13 , wherein combining comprises summing.
15. The method of claim 13 , wherein combining comprises differencing.
16. The method of claim 3 , wherein enhancing is conducted for phase difference values other than a selected phase difference value.
17. The method of claim 3 , wherein zero enhancing is applied for a selected phase difference value, and enhancing greater than zero is applied for other phase difference values.
18. The method of claim 12 , wherein attenuation is conducted for phase difference values other than a selected phase difference value.
19. The method of claim 12 , wherein a maximum attenuation factor value is applied for a selected phase difference value, and attenuation factors of less than the maximum attenuation factor value are applied for other phase difference values.
20. The method of claim 3 , wherein enhancing is conducted asymmetrically about a selected non-enhancement phase difference angle.
21. The method of claim 12 , wherein attenuation is conducted asymmetrically about a selected non-attenuation phase angle difference.
22. A sensitivity matching circuit adapted to accommodate device and/or signal mismatch in a sensor array system having a plurality of sensors configured to generate a plurality of input signals including first and second sensors generating first and second input signals, the plurality of input signals being representable, at least one frequency, by input vectors each having a phase component and a magnitude component, including first and second input vectors, the sensitivity matching circuit comprising:
one or more circuits adapted to generate the first and second input signals from the first and second sensors and process the first and second input signals, the processing including, at the at least one frequency, using the magnitudes of the first and second input vectors to obtain corresponding first and second magnitude-matched vectors each having a magnitude that is substantially equal to one of an arithmetic mean, a geometric mean, a harmonic mean, or a root-mean-square of the magnitude of two or more input vectors, the one or more circuits further adapted to generate an output signal having a magnitude that is a function of at least one of the first and second magnitude-matched vectors.
23. The method of claim 22 , wherein the device and/or signal mismatch is accommodated at each of a plurality of frequencies.
24. The method of claim 22 , further comprising enhancing an input phase difference of the first and second input vectors.
25. The method of claim 24 , wherein enhancing comprises increasing or decreasing the input phase difference in a frequency-dependent manner using an expansion function.
26. The method of claim 24 , wherein enhancing comprises increasing or decreasing the input phase difference in a frequency-dependent manner using a look-up table.
27. The method of claim 24 , wherein enhancing is performed as a function of an adjustable sharpness parameter.
28. The method of claim 27 , wherein the adjustable sharpness parameter is applied multiplicatively.
29. The method of claim 27 , wherein the adjustable sharpness parameter is a function of frequency.
30. The method of claim 27 , wherein the adjustable sharpness parameter is inversely proportional to frequency such that uniform sensitivity across the frequency spectrum is achieved.
31. The method of claim 27 , wherein the adjustable sharpness parameter has one of multiple values, and its value depends on the sign of the phase difference between the first input vector and the second input vector.
32. The method of claim 24 , wherein enhancing of the input phase difference is computed using the ratio of the difference to the sum of the magnitudes of a pair of unit vectors corresponding to the first and second input vectors.
33. The method of claim 22 , further comprising attenuating the magnitude-matched vectors by an attenuation factor that is a function of an input phase difference of the first and second input vectors.
34. The method of claim 22 , further comprising combining the magnitude-matched vectors.
35. The method of claim 34 , wherein combining comprises summing.
36. The method of claim 34 , wherein combining comprises differencing.
37. The method of claim 24 , wherein enhancing is conducted for phase difference values other than a selected phase difference value.
38. The method of claim 37 , wherein zero enhancing is applied for a selected phase difference value, and enhancing greater than zero is applied for other phase difference values.
39. The method of claim 33 , wherein attenuation is conducted for phase difference values other than a selected phase difference value.
40. The method of claim 33 , wherein a maximum attenuation factor value is applied for a selected phase difference value, and attenuation factors of less than the maximum attenuation factor value are applied for other phase difference values.
41. The method of claim 24 , wherein enhancing is conducted asymmetrically about a selected non-enhancement phase difference angle.
42. The method of claim 33 , wherein attenuation is conducted asymmetrically about a selected non-attenuation phase angle difference.