
So you know, the 'actors' of the Barkhausen effect are the Domain Walls (seen here) jumping in their motion across a sample.
But, there is a particular moment in a hysteresis loop when they jump...and this is around the coercive field:

You can see the same picture in detail (do not loose it: it's very nice!)
Clearly, this noise does not show avalanches, or Barkhausen jumps, but a fluctuating signal around some average value
Look at the animated gifs (about 30 kB each), and note the different time scales
As long as the frequency tends to zero, the more separated in space and time, showing power law distributions and critical exponents, a common feature of complex disordered systems.
Look a fine example of the
noise around the coercive field and the power law distributions: