Dynamic Level Filter Laboratory Exercise

1. Implement the above dynamic level filter in a Faust EKS synth plugin, and find a good mapping for MIDI velocity to dynamic level $L$. Try to use a simple power law of the form (in Faust)

     L = scale * log(gain) + offset;
   

   where gain is between 0 and 1. Report your values for scale and offset.
2. Record a sequence of notes on a real guitar with progressively increasing amplitude. Plot the spectral centroid as a function of time for this recording.