[The5thElephant]

You have to define free will first, and that is essentially impossible. What is happening in that "processing" though? That is not free will, your will is being determined by the state and context your brain is in. In fact any thing that is not a purely random choice is not a free will, and a purely random choice is not a will at all. The very concept of free will as most people understand it is absurd.

The only definitions of free will that work are deterministic ones.

To elaborate on your TV signal analogy, the TV does not get to "choose" what it shows next no matter the technical reason for the awareness of the choice coming later or not. These are physical deterministic processes.

[pizza]

How about 'post-processing that increases the information of an output signal beyond the information of the input signal', i.e. something that violates the data processing inequality.