All varieties have their pros and cons.
Yes, many decisions and compromises to take.
The cheapest? Or the best?
Simple or complicated?
The purpose of the detector?
I am experimenting with the butterfly coil variety. DSP would be useful for that. Is the ESP32 good for that?
3.3 V gives little headroom. Headroom is good for speed and ground compensation. By speed I mean early sampling, like 2 or 3us delay to the first sample. Interesting for separation of magnetic targets and ground.


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