John,
> If John is singing, you can "hear" that it is him. If George or Paul is singing, then you can "easily" hear the difference. There is no measurement possible to discern between who is singing. <
Of course there is! Let's start with what difference can be heard. The main two things that vary between two singers are spectral content, which includes formants (high Q resonances) from the mouth shape, and the way notes swell and decay which is consciously controlled by the singer. One singer may tend to have a harder (faster) attack than another. Why do you think this can't be measured? If I were assigned the task of distinguishing John from Paul without listening, the first thing I'd do is run an FFT on both Wave file samples. When John makes an "ooh" vowel sound the spectrum will be different from the way Paul voices the same vowel. If one singer has an accent the oohs and aahs and ohs might change, but the formants will still be unique and valid.
> Hearing is not simply the act of receiving frequencies, amplitudes, distortions and phase relationships. It is the process of assembling these into the perception of sound. <
I agree, but again this is irrelevant in a discussion of the ways that audio gear can alter the quality of electrical signals passing through them and how those changes can be measured.
--Ethan