HOW ANCIENT PI METALDETECTOR WORKS
(See circuit diagram in post #37)
(See circuit diagram in post #37)
Below is shown normalized locus of transfer impedance valid for all conductive nonferrous targets.
The normalized locus uses relative frequency which has no dimension because is against the time constant of object. This allows in one locus to present the frequency spectrum of signal from two targets with different time constants. This method loses information about the scale (real amplitude of each target), but on the other it shows important spectral differences between received target signals. Here's how the normalized locus can explain the different timbre of the sound of two targets, which differs in timeconstant.
The TX of metal detector TIMBRE illuminates environment with powerful magnetic pulses which in frequency domain are represented by wide band of audible frequencies. The bandwidth is even larger than the so-called ELF radio band (300 ... 3000Hz). With letter A is denoted the lowest frequency of the band (in this case 180Hz) and with letter B - the highest (in the case 3600Hz). Each boundary frequency appears twice on the locus, which is impossible when the impedance plane is not normalized.
TARGET WITH SMALL TIMECONSTANT
For this target, the whole illuminating frequency band appears in the low frequency region of target's spectral characteristic. This is below cutoff frequency, where the phase lag is small #less than 90 deg, but the amplitudes and phases depend strongly on the frequency. Magnitude OA in the lowerst end of frequency band appears significantly less than the magnitude OB in the upper end . In order not to clutter the drawing, the vectors of magnitudes OA and OB are not drawn. Only vector 01 for magnitude at cutoff frequency is shown for reference. The top right diagram illustrates what timbre of voice give this target. At relatively small timeconstant we will hear timbre SOPRANO because the amplitudes at low audio frequencies are relatively small to amplitudes at high audio frequencies.
TARGET WITH LARGE TIMECONSTANT
For this target, the whole illuminating frequency band of TX current appears in the high frequency region of target's spectral characteristic. This is above cutoff frequency, where amplitudes and phases depend less on frequency. Phase lag is more than 45 deg, but phase differences between frequency components are small. Magnitude OA in the lower end of the frequency band is virtually identical to the magnitude OB in the upper end of the band as shown in the top right diagram. In this case the operator will hear loud audio signal with timbre ALTO.
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