My bad. Correction: the low-pass filter (integrator) is passing low frequency of course. So it remains only 20 dB/decade with the subtraction method at the end (not 40 dB/decade). I must have tought of the harmonics of the 50/60 Hz, which they will be suppressed.
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Yep, the excessive discussion about the 50/60 Hz EMI noise cancellation is really ridiculous. If one can synchronize the detector to it, the better the cancellation. But this isn't a reason to dispute.

Aziz
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