Yes , Davor , the main point of mine is having more information is better anyhow . For example , imagine that we have a ground with simple ferromagnetic properties . What we'll have on a classic IB device in that case ? It gives us only 2 channels ( X and R ) , and one of them is corrupted by the ground . But this X channel is necessary for 2 device features - ferro-discrimination and target TC measuring , and we have a problems . But in this "ultimate metal detector" we does have 4 channels , and we can do a trick - use this corrupted X channel ( T(0) in my terminology ) only for ferro/non-ferro discrim ( where we need only a polarity of the voltage of this channel ) , but the TC measure can be provided in PI-like manner , by the other 3 channels of the device - T(1) , T(2) , T(3) ) - being much more tolerant to the ground influence in this case .
Another possible case , where the ground has a "magnetic viscosity" and we have a problems with the "detection hole" produced by our GB system .... but this is a problem only in the PI device . In our new wide-band system we have this T(0) channel - and it will help us to "shift" this detection hole to the ferrous side , as you noticed here about IB systems . But for metal recognizing ( gold , for instance ) - we still can use a PI information , and forget about this problem at all
Another possible case , where the ground has a "magnetic viscosity" and we have a problems with the "detection hole" produced by our GB system .... but this is a problem only in the PI device . In our new wide-band system we have this T(0) channel - and it will help us to "shift" this detection hole to the ferrous side , as you noticed here about IB systems . But for metal recognizing ( gold , for instance ) - we still can use a PI information , and forget about this problem at all

As we can easily see on the picture , the compensation output signal goes to the current trans via the variable resistor R2 , connected to the coil winding with the same turn number that output winding does have . So the compensation signal is "virtually connected" just on the U2 (-) input , where the negative feedback resistor R3 goes too . So , now we have an "unwanted" R-divider in the feedback loop ( R3/R2 ) , and the whole circuit begins to amplify the noise voltage of our integrator U1 ( Unoise1 on the circuit ) by the ratio of this divider , in practice it was about 10 .... of course it's bad . But we have even more trouble - the noise voltage of the U2 amp ( Unoise2 ) does have the same amplification 
) .... but anyhow it does exactly what I need - it takes the voltage and gives the current , so I don't need to convert it on the resistor and can supply it directly to the current transformer compensation winding . The situation seems to be better here - because we don't have a resistor ( and this integrator has a current-source output property ) we don't have any amplification of the U2 noise ..... but with the U1 noise the situation is worse . Its input noise is just applied to the L2 , being converted to an output current just like a signal does , so we already have its noise amplification on the output of the circuit . It can be clear when we calculate the real values of the parts of the signal path
) - but what can I use here for the coil ?
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