>>13695023I asked a similar question in a thread a week ago.
Signal and Noise are very specific terms, and the Signal is determined by the circuit or system you're using. In other words, if you play feedback like Lou Reed's Metal Music Machine through your hi-fi - that's signal even though it's arguably "noise". If it fits through the frequency response curve of your system, then it's signal.
That's it!
You might be interested in 'mutual information' where you measure the entropy of one random variable against another to suggest possible shared causation but to so so leads you down the rabbit hole into discussions about ontology and epistemology, or Pierce's Tridadic Signs.. not sure if it's /sci/ enough
Then there's also Douglas Hubbard's How to Measure anything... a measure is anything that influences a decision. If it has no impact on a decision, then it's not a measure. You may want to draw a connection between 'signal' and measure in a Decision Theory context provided by Hubbard.