Means and methods for obtaining humbucking tones with variable gains

A construction of a system of humbucking circuits from two or more matched vibration sensors, such that all the responses of said circuits can be predicted by the linear combinations of the spectral transforms, including Fourier sine-cosine and other orthogonal functions, of selected humbucking pairs of said sensors, comprised of:

• a. vibration sensors matched electrically in impedance and response to external electromagnetic fields, or hum, coming from outside the area of vibration measurement, which affect all sensors in the circuit equally, and
• b. sequential combinations of humbucking pairs, as in A&B and B&C and C&D, from matched sensors, A, B, C and D, such that:
• i. if said two sensors of a humbucking pair have the same vibration signal polarity, they are connected out of phase, such that the output vibration signal of the pair is proportional to a difference, as in ±(A−B) or ±(B−C) or ±(C−D), and
• ii. if said two sensors of a humbucking pair have the opposite vibration signal polarities, they are connected in phase, such that the output vibration signal of the pair is proportional to a sum, as in ±(A+B) or ±(B+C) or ±(C+D), and
• iii. the hum signals of said pair are always connected out of phase, such that they cancel at the output, and
• c. a set of variable gains, such as represented by scalars, s, u, v, x, y, z, . . . , which multiply said humbucking pair signals and feed into a summing circuit, such that the final output signal is proportional to the sum said linear combination of said humbucking pair signals, as in the form, Vo=±[s(A±B)+u(B±C)+v(C±D)+ . . . ], such that for J number of said sensors, there are J−1 number of said scalars.